Jayce and Savannah deposit $10,000.00 into a savings account which earns 4% interest compounded annually. They want to use the money in the account to go on a trip in 2 years. How much will they be able to spend? Use the formula A=P(1+nr)nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.
Q. Jayce and Savannah deposit $10,000.00 into a savings account which earns 4% interest compounded annually. They want to use the money in the account to go on a trip in 2 years. How much will they be able to spend? Use the formula A=P(1+nr)nt, where A is the balance (final amount), P is the principal (starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.
Identify Values: First, let's identify the values we need to plug into the formula A=P(1+nr)nt.P=$10,000.00, r=4% or 0.04 as a decimal, n=1 (since it's compounded annually), and t=2 years.
Plug into Formula: Now, let's plug these values into the formula. A=10000(1+10.04)(1⋅2)
Simplify Equation: Simplify the equation inside the parentheses.A=10000(1+0.04)2
Add Numbers: Add the numbers inside the parentheses.A=10000(1.04)2
Calculate Power: Calculate the power of 1.04 squared.A=10000×1.0816
Multiply Amounts: Multiply the principal amount by the result.A=10000×1.0816=10816
Round Answer: Round the answer to the nearest cent.A=$10,816.00
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