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Zahra deposits 
$620 every year into an account earning an annual interest rate of 
3.6% compounded annually. How much would she have in the account after 9 years, to the nearest dollar? Use the following formula to determine your answer.

A=d(((1+i)^(n)-1)/(i))

A= the future value of the account after 
n periods

d= the amount invested at the end of each period

i= the interest rate per period

n= the number of periods
Answer:

Zahra deposits $620 \$ 620 every year into an account earning an annual interest rate of 3.6% 3.6 \% compounded annually. How much would she have in the account after 99 years, to the nearest dollar? Use the following formula to determine your answer.\newlineA=d((1+i)n1i) A=d\left(\frac{(1+i)^{n}-1}{i}\right) \newlineA= A= the future value of the account after n n periods\newlined= d= the amount invested at the end of each period\newlinei= i= the interest rate per period\newlinen= n= the number of periods\newlineAnswer:

Full solution

Q. Zahra deposits $620 \$ 620 every year into an account earning an annual interest rate of 3.6% 3.6 \% compounded annually. How much would she have in the account after 99 years, to the nearest dollar? Use the following formula to determine your answer.\newlineA=d((1+i)n1i) A=d\left(\frac{(1+i)^{n}-1}{i}\right) \newlineA= A= the future value of the account after n n periods\newlined= d= the amount invested at the end of each period\newlinei= i= the interest rate per period\newlinen= n= the number of periods\newlineAnswer:
  1. Identify variables: Identify the variables from the problem to use in the formula.\newlineWe have:\newlined=$620d = \$620 (the amount invested at the end of each period)\newlinei=3.6%i = 3.6\% or 0.0360.036 (the interest rate per period)\newlinen=9n = 9 (the number of periods)
  2. Convert interest rate: Convert the interest rate from a percentage to a decimal. i=3.6%=3.6100=0.036i = 3.6\% = \frac{3.6}{100} = 0.036
  3. Substitute values: Substitute the values into the formula to calculate the future value of the account.\newlineA=d×((1+i)n1i)A = d \times \left(\frac{(1 + i)^n - 1}{i}\right)\newlineA=620×((1+0.036)910.036)A = 620 \times \left(\frac{(1 + 0.036)^9 - 1}{0.036}\right)
  4. Calculate parentheses: Calculate the value inside the parentheses.\newline(1+i)n=(1+0.036)9(1 + i)^n = (1 + 0.036)^9
  5. Calculate exponent: Calculate the exponent part of the formula.\newline(1+0.036)91.03691.368569(1 + 0.036)^9 \approx 1.036^9 \approx 1.368569
  6. Subtract one: Subtract 11 from the result of Step 55. \newline1.36856910.3685691.368569 - 1 \approx 0.368569
  7. Divide by i: Divide the result of Step 66 by ii.\newline0.368569/0.03610.2385830.368569 / 0.036 \approx 10.238583
  8. Multiply by dd: Multiply the result of Step 77 by dd to find the future value AA.A=620×10.2385836347.9016A = 620 \times 10.238583 \approx 6347.9016
  9. Round result: Round the result to the nearest dollar.\newlineA$(6348)A \approx \$(6348)

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