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Math Problems
Grade 7
Compound interest
Valeria deposited
80
80
80
$
\$
$
in an account earning
5
%
5\%
5%
interest compounded annually. To the nearest cent, how much interest will she earn in
2
2
2
years? Use the formula
B
=
p
(
1
+
r
)
t
B = p(1 + r)^t
B
=
p
(
1
+
r
)
t
, where
B
B
B
is the balance (final amount),
p
p
p
is the principal (starting amount),
r
r
r
is the interest rate expressed as a decimal, and
t
t
t
is the time in years.
$
\$
$
____
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Sophia is saving money and plans on making monthly contributions into an account earning an annual interest rate of
6.3
%
6.3\%
6.3%
compounded monthly. If Sophia would like to end up with
$
65
,
000
\$65,000
$65
,
000
after
11
11
11
years, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer: ◻
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Question
2
2
2
\newline
2
p
t
s
2 \mathrm{pts}
2
pts
\newline
△
A
B
C
\triangle A B C
△
A
BC
is shown
\newline
What is the value of
x
x
x
?
□
\square
□
ENTER VALUES
\newline
DNLY
\newline
What is the
m
∠
A
B
C
m \angle A B C
m
∠
A
BC
?
□
\square
□
ENTER VALUES DNLY
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Noah borrows
$
2000
\$2000
$2000
from his father and agrees to repay the loan and any interest determined by his father as soon as he has the money.
\newline
The relationship between the amount of money,
A
A
A
, in dollars that Noah owes his father (including interest), and the elapsed time,
t
t
t
, in years, is modeled by the following equation.
\newline
A
=
2000
e
0.1
t
A=2000e^{0.1t}
A
=
2000
e
0.1
t
\newline
How long did it take Noah to pay off his loan if the amount he paid to his father was equal to
$
2450
\$2450
$2450
?
\newline
Give an exact answer expressed as a natural logarithm.
\newline
□
\square
□
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The amount of money invested in a certain account increases according to the following function, where
y
0
y_{0}
y
0
is the initial amount of the investment, and
y
y
y
is the amount present at time
t
t
t
(in years).
\newline
y
=
y
0
e
0.015
t
y=y_{0} e^{0.015 t}
y
=
y
0
e
0.015
t
\newline
After how many years will the initial investment be doubled? Do not round any intermediate computations, and round your answer to the nearest tenth.
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Chapter
\newline
Write a proof.
\newline
1
1
1
. Given
C
A
‾
≅
C
B
‾
≅
C
D
‾
≅
C
E
‾
\overline{C A} \cong \overline{C B} \cong \overline{C D} \cong \overline{C E}
C
A
≅
CB
≅
C
D
≅
CE
\newline
Prove
△
A
B
C
≅
△
E
D
C
\triangle A B C \cong \triangle E D C
△
A
BC
≅
△
E
D
C
\newline
Find the measure of each acute angl
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8
8
8
. Ms. Donose decided to put
$
1500
\$ 1500
$1500
into a savings account that earns
2.5
%
2.5 \%
2.5%
interest compounded semi-annually. Using the equation
A
=
P
(
1
+
r
n
)
n
t
A=P\left(1+\frac{r}{n}\right)^{n t}
A
=
P
(
1
+
n
r
)
n
t
, find out how much money she will have after
29
29
29
years.
A
=
0.025
C
1
+
1500
‾
A=0.025 C 1+\overline{1500}
A
=
0.025
C
1
+
1500
2
a
×
2
=
58
2 a \times 2=58
2
a
×
2
=
58
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P.
13
13
13
Compound interest EHZ
\newline
Martin has
$
3
,
582
\$ 3,582
$3
,
582
in an account that earns
5
%
5 \%
5%
interest compounded annually.
\newline
To the nearest cent, how much will he have in
1
1
1
year?
\newline
Use the formula
B
=
p
(
1
+
r
)
t
B=p(1+r)^{t}
B
=
p
(
1
+
r
)
t
, where
B
B
B
is the balance (final amount),
p
p
p
is the principal (starting amount),
r
r
r
is the interest rate expressed as a decimal, and
t
t
t
is the time in years.
\newline
$
\$
$
□
\square
□
\newline
Submit
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The following formula gives the volume
V
V
V
of a pyramid, where
A
A
A
is the area of the base and
h
h
h
is the height:
\newline
V
=
1
3
A
h
V=\frac{1}{3} A h
V
=
3
1
A
h
\newline
Rearrange the formula to highlight the base area.
\newline
A
=
A=
A
=
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{
d
(
1
)
=
13
d
(
n
)
=
d
(
n
−
1
)
+
17
\begin{cases}d(1)=13\ d(n)=d(n-1)+17 \end{cases}
{
d
(
1
)
=
13
d
(
n
)
=
d
(
n
−
1
)
+
17
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Kadeesha invests money in an account paying a simple interest of
2
%
2 \%
2%
per year. If no money will be added or removed from the investment, what should she multiply her current balance by to find her total balance in a year in one step?
\newline
Answer:
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Andres invests money in an account paying a simple interest of
6.8
%
6.8 \%
6.8%
per year. If
m
m
m
represents the amount of money he invests, which expression represents his balance after a year, assuming he makes no additional withdrawals or deposits?
\newline
1
+
0.068
1+0.068
1
+
0.068
\newline
1.0068
m
1.0068 m
1.0068
m
\newline
1.068
m
1.068 m
1.068
m
\newline
1
+
0.068
m
1+0.068 m
1
+
0.068
m
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Ella invests money in an account paying a simple interest of
5.2
%
5.2 \%
5.2%
per year. If
m
m
m
represents the amount of money she invests, which expression does NOT represent her balance after a year, assuming she makes no additional withdrawals or deposits?
\newline
1.0052
m
1.0052 m
1.0052
m
\newline
1.052
m
1.052 m
1.052
m
\newline
(
1
+
0.052
)
m
(1+0.052) m
(
1
+
0.052
)
m
\newline
1
m
+
0.052
m
1 m+0.052 m
1
m
+
0.052
m
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Deondra has a loyalty card good for a
11
%
11 \%
11%
discount at her local grocery store. If the total cost, before tax and discount, of all the items she wants to buy is
c
c
c
, which expression does NOT represent the cost after the discount?
\newline
(
1
−
0.11
)
c
(1-0.11) c
(
1
−
0.11
)
c
\newline
c
−
0.11
c
c-0.11 c
c
−
0.11
c
\newline
11
c
11 c
11
c
\newline
1
c
−
0.11
c
1 c-0.11 c
1
c
−
0.11
c
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Andy has
$
100
\$ 100
$100
in an account. The interest rate is
6
%
6 \%
6%
compounded annually.
\newline
To the nearest cent, how much will he have in
2
2
2
years?
\newline
Use the formula
B
=
p
(
1
+
r
)
t
B=p(1+r)^{t}
B
=
p
(
1
+
r
)
t
, where
B
B
B
is the balance (final amount),
p
p
p
is the principal (starting amount),
r
r
r
is the interest rate expressed as a decimal, and
t
t
t
is the time in years.
\newline
$
\$
$
\newline
Submit
\newline
Work it out
\newline
Not feeling ready yet? These can help:
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57
57
57
) - jarosz.I... +
8
8
8
Core Ball!
M
M
M
e S SHEIN Girls Letter G...
\newline
2065
2065
2065
−
20
-20
−
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Dark Royal...
\newline
My IXL
\newline
Learning
\newline
Assessment
\newline
Analyt
\newline
I.
11
11
11
Compound interest LSK
\newline
Kelsey has
$
100
\$ 100
$100
in an account. The interest rate is
11
%
11 \%
11%
compounded annually.
\newline
To the nearest cent, how much will she have in
2
2
2
years?
\newline
Use the formula
B
=
p
(
1
+
r
)
t
B=p(1+r)^{t}
B
=
p
(
1
+
r
)
t
, where
B
B
B
is the balance (final amount),
p
p
p
is the principal (starting amount),
r
r
r
is the interest rate expressed as a decimal, and
t
t
t
is the time in year
\newline
$
\$
$
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hboard | Rapidldentity
\newline
IXL | Compound interest |
\newline
Home
\newline
ixl.com/math/grade
−
8
-8
−
8
/compound-interest
\newline
Liberty Hill Isd - Gal_ M Inbox (
57
57
57
)-jarosz.__ is: Core Ball! M
\quad
S SHEIN Girls Letter G.
\newline
2065
2065
2065
−
20
-20
−
20
Dark Royal.
\newline
iberty Hill.
\newline
My IXL
\newline
Learning
\newline
Assessment
\newline
Analytics
\newline
Eighth grade
>
1.11
>1.11
>
1.11
Compound interest LSK
\newline
Spencer deposited
$
10
\$ 10
$10
in an account earning
5
%
5 \%
5%
interest compounded annually.
\newline
To the nearest cent, how much will he have in
3
3
3
years?
\newline
Use the formula
B
=
p
(
1
+
r
)
t
B=p(1+r)^{t}
B
=
p
(
1
+
r
)
t
, where
B
B
B
is the balance (final amount),
p
p
p
is the principal (starting amount),
r
r
r
is the interest rate expressed as a decimal, and
t
t
t
is the time in years.
\newline
$
\$
$
\newline
Submit
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Shota invests
$
2000
\$ 2000
$2000
in a certificate of deposit that earns
2
%
2 \%
2%
in interest each year.
\newline
Write a function that gives the total value
V
(
t
)
V(t)
V
(
t
)
, in dollars, of the investment
t
t
t
years from now.
\newline
Do not enter commas in your answer.
\newline
V
(
t
)
=
□
□
+
n
‾
V(t)=\square \underset{\overline{+n}}{\square}
V
(
t
)
=
□
+
n
□
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The present value
P
V
PV
P
V
of an investment is the amount that should be invested today at a specified interest rate in order to earn a certain amount at a future date. The amount desired is called the future value. For a future value of
$
10
,
000
\$10,000
$10
,
000
, which of the following functions models the present value,
P
V
PV
P
V
, to be invested in a savings account earning
5
%
5\%
5%
interest compounded annually for
t
t
t
years?
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The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate. Answer parts (a) and (b).
\newline
\newline
Principal
\newline
Rate
\newline
Compounded
\newline
Time
\newline
\newline
$
1500
\$1500
$1500
\newline
2
2
2
.
2
2
2
\%
\newline
daily
\newline
3
3
3
.
5
5
5
years
\newline
\newline
Question
3
3
3
\newline
Question
4
4
4
\newline
a. Find how much money there will be in the account after the given number of years. (Assume
365
365
365
days in a year.)
\newline
The amount of money in the account after
3
3
3
.
5
5
5
years is
\newline
$
□
\$\square
$
□
,
\newline
(Round to the nearest cent as needed.)
\newline
Media
2
2
2
\newline
Question
5
5
5
\newline
Media
3
3
3
\newline
Question
6
6
6
\newline
Question
7
7
7
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Listen
\newline
Determine whether the function represents exponential growth or exponential decay.
\newline
f
(
t
)
=
1
2
(
3
2
)
t
f(t)=\frac{1}{2}\left(\frac{3}{2}\right) t
f
(
t
)
=
2
1
(
2
3
)
t
\newline
The function represents
\newline
Identify the percent rate of change.
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Jose deposits
$
7
,
500
\$ 7,500
$7
,
500
every year into an account earning an annual interest rate of
5.9
%
5.9 \%
5.9%
compounded annually. How much would he have in the account after
10
10
10
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
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Madeline deposits
$
5
,
800
\$ 5,800
$5
,
800
every year into an account earning an annual interest rate of
5.2
%
5.2 \%
5.2%
compounded annually. How much would she have in the account after
15
15
15
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
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Chloe deposits
$
750
\$ 750
$750
every month into an account earning a monthly interest rate of
0.4
%
0.4 \%
0.4%
. How much would she have in the account after
3
3
3
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
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Arianna deposits
$
450
\$ 450
$450
every month into an account earning a monthly interest rate of
0.525
%
0.525 \%
0.525%
. How much would she have in the account after
24
24
24
months, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
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Kiran deposits
$
380
\$ 380
$380
every month into an account earning a monthly interest rate of
0.35
%
0.35 \%
0.35%
. How much would he have in the account after
7
7
7
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
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Amira deposits
$
560
\$ 560
$560
every quarter into an account earning an annual interest rate of
8
%
8 \%
8%
compounded quarterly. How much would she have in the account after
12
12
12
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
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Sophia is saving money and plans on making monthly contributions into an account earning an annual interest rate of
6.3
%
6.3 \%
6.3%
compounded monthly. If Sophia would like to end up with
$
65
,
000
\$ 65,000
$65
,
000
after
11
11
11
years, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
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Pedro deposits
$
880
\$ 880
$880
every month into an account earning a monthly interest rate of
0.675
%
0.675 \%
0.675%
. How much would he have in the account after
6
6
6
months, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Joseph is saving money and plans on making monthly contributions into an account earning a monthly interest rate of
0.75
%
0.75 \%
0.75%
. If Joseph would like to end up with
$
259
,
000
\$ 259,000
$259
,
000
after
13
13
13
years, how much does he need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Josue is saving money and plans on making quarterly contributions into an account earning a quarterly interest rate of
1.875
%
1.875 \%
1.875%
. If Josue would like to end up with
$
95
,
000
\$ 95,000
$95
,
000
after
15
15
15
years, how much does he need to contribute to the account every quarter, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Jason deposits
$
830
\$ 830
$830
every month into an account earning an annual interest rate of
3.9
%
3.9 \%
3.9%
compounded monthly. How much would he have in the account after
9
9
9
months, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Miguel deposits
$
470
\$ 470
$470
every month into an account earning an annual interest rate of
8.1
%
8.1 \%
8.1%
compounded monthly. How much would he have in the account after
30
30
30
months, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Natalie deposits
$
320
\$ 320
$320
every month into an account earning an annual interest rate of
9
%
9 \%
9%
compounded monthly. How much would she have in the account after
4
4
4
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Ayden deposits
$
290
\$ 290
$290
every month into an account earning a monthly interest rate of
0.7
%
0.7 \%
0.7%
. How much would he have in the account after
13
13
13
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Brody deposits
$
8
,
700
\$ 8,700
$8
,
700
every year into an account earning an annual interest rate of
7.9
%
7.9 \%
7.9%
compounded annually. How much would he have in the account after
14
14
14
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Mackenzie deposits
$
690
\$ 690
$690
every month into an account earning a monthly interest rate of
0.25
%
0.25 \%
0.25%
. How much would she have in the account after
13
13
13
months, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Savannah deposits
$
360
\$ 360
$360
every month into an account earning a monthly interest rate of
0.65
%
0.65 \%
0.65%
. How much would she have in the account after
8
8
8
months, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Tanisha is saving money and plans on making quarterly contributions into an account earning an annual interest rate of
6.7
%
6.7 \%
6.7%
compounded quarterly. If Tanisha would like to end up with
$
96
,
000
\$ 96,000
$96
,
000
after
11
11
11
years, how much does she need to contribute to the account every quarter, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Zachary is saving money and plans on making monthly contributions into an account earning an annual interest rate of
4.2
%
4.2 \%
4.2%
compounded monthly. If Zachary would like to end up with
$
8
,
000
\$ 8,000
$8
,
000
after
21
21
21
months, how much does he need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Audrey is saving money and plans on making quarterly contributions into an account earning an annual interest rate of
3.8
%
3.8 \%
3.8%
compounded quarterly. If Audrey would like to end up with
$
6
,
000
\$ 6,000
$6
,
000
after
8
8
8
years, how much does she need to contribute to the account every quarter, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Mohal is saving money and plans on making monthly contributions into an account earning a monthly interest rate of
0.45
%
0.45 \%
0.45%
. If Mohal would like to end up with
$
19
,
000
\$ 19,000
$19
,
000
after
30
30
30
months, how much does he need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Aubree is saving money and plans on making monthly contributions into an account earning a monthly interest rate of
0.675
%
0.675 \%
0.675%
. If Aubree would like to end up with
$
7
,
000
\$ 7,000
$7
,
000
after
2
2
2
years, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Josiah is saving money and plans on making monthly contributions into an account earning a monthly interest rate of
0.35
%
0.35 \%
0.35%
. If Josiah would like to end up with
$
12
,
000
\$ 12,000
$12
,
000
after
5
5
5
years, how much does he need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Emma is saving money and plans on making monthly contributions into an account earning a monthly interest rate of
0.475
%
0.475 \%
0.475%
. If Emma would like to end up with
$
14
,
000
\$ 14,000
$14
,
000
after
14
14
14
months, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Emily is saving money and plans on making monthly contributions into an account earning a monthly interest rate of
0.375
%
0.375 \%
0.375%
. If Emily would like to end up with
$
4
,
000
\$ 4,000
$4
,
000
after
13
13
13
months, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Julian is saving money and plans on making quarterly contributions into an account earning a quarterly interest rate of
1.875
%
1.875 \%
1.875%
. If Julian would like to end up with
$
17
,
000
\$ 17,000
$17
,
000
after
10
10
10
years, how much does he need to contribute to the account every quarter, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Christopher deposits
$
420
\$ 420
$420
every month into an account earning an annual interest rate of
3.9
%
3.9 \%
3.9%
compounded monthly. How much would he have in the account after
19
19
19
months, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Adam deposits
$
200
\$ 200
$200
every month into an account earning a monthly interest rate of
0.675
%
0.675 \%
0.675%
. How much would he have in the account after
2
2
2
years, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
Charlotte is saving money and plans on making monthly contributions into an account earning an annual interest rate of
3
%
3 \%
3%
compounded monthly. If Charlotte would like to end up with
$
61
,
000
\$ 61,000
$61
,
000
after
9
9
9
years, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer.
\newline
A
=
d
(
(
1
+
i
)
n
−
1
i
)
A=d\left(\frac{(1+i)^{n}-1}{i}\right)
A
=
d
(
i
(
1
+
i
)
n
−
1
)
\newline
A
=
A=
A
=
the future value of the account after
n
n
n
periods
\newline
d
=
d=
d
=
the amount invested at the end of each period
\newline
i
=
i=
i
=
the interest rate per period
\newline
n
=
n=
n
=
the number of periods
\newline
Answer:
Get tutor help
1
2
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