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Compound interest: word problems

oard | Rapididentity\newlineIXL ∣ \mid Compound interest | 88th\newlineHome\newlineixl.com/math/grade−8-8/compound-interest\newlineLiberty Hill Isd - Gal_. M Inbox (5757) - jarosz.I.. 4848ł Core Ball! M e S SHEIN Girls Letter G...\newline20652065−20-20 Dark Royal...\newlinea\newlineAmazon\newlineMy IXL\newlineLearning\newlineAssessment\newlineAnalytics\newlineghth grade >≠ >\neq I. 1111 Compound interest LSK\newlineKira has $500 \$ 500 in an account that earns 15% 15 \% interest compounded annually.\newlineTo the nearest cent, how much interest will she earn in 33 years?\newlineUse the formula B=p(1+r)t B=p(1+r)^{t} , where B B is the balance (final amount), p p is the principal (starting amount), r r is the interest rate expressed as a decimal, and t t is the time in years.\newline$ \$ \newlineSubmit
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Fred started studying how the number of branches on his tree grows over time.\newlineThe relationship between the elapsed time t t , in years, since Fred started studying the tree, and the number of its branches, Byear (t) B_{\text {year }}(t) , is modeled by the following function:\newlineByear (t)=20⋅(2.5)t B_{\text {year }}(t)=20 \cdot(2.5)^{t} \newlineComplete the following sentence about the monthly rate of change in the number of branches.\newlineRound your answer to two decimal places.\newlineEvery month, the number of branches increases by a factor of
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Since 20102010, the town of Fall River has been experiencing a growth in population.\newlineThe relationship between the elapsed time, t t , in years, since 20102010 and the town's population, P(t) P(t) , is modeled by the following function.\newlineP(t)=36,800⋅2t25 P(t)=36,800 \cdot 2^{\frac{t}{25}} \newlineAccording to the model, what will the population of Fall River be in 20202020 ?\newlineRound your answer, if necessary, to the nearest whole number.\newlinepeople
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Charlotte opened a savings account and deposited $800.00\$800.00 as principal. The account earns 8%8\% interest, compounded annually. What is the balance after 1010 years?\newlineUse the formula A=P(1+rn)ntA = P(1 + \frac{r}{n})^{nt}, where AA is the balance (final amount), PP is the principal (starting amount), rr is the interest rate expressed as a decimal, nn is the number of times per year that the interest is compounded, and tt is the time in years.\newlineRound your answer to the nearest cent.\newline$\$____\newline
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