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(i(1+i)n−1)A= the future value of the account after n periodsd= the amount invested at the end of each periodi= the interest rate per periodn= the number of periodsAnswer:
Q. 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(i(1+i)n−1)A= the future value of the account after n periodsd= the amount invested at the end of each periodi= the interest rate per periodn= the number of periodsAnswer:
Identify variables: Identify the variables from the problem to use in the formula.We have:d=$620 (the amount invested at the end of each period)i=3.6% or 0.036 (the interest rate per period)n=9 (the number of periods)
Convert interest rate: Convert the interest rate from a percentage to a decimal. i=3.6%=1003.6=0.036
Substitute values: Substitute the values into the formula to calculate the future value of the account.A=d×(i(1+i)n−1)A=620×(0.036(1+0.036)9−1)
Calculate parentheses: Calculate the value inside the parentheses.(1+i)n=(1+0.036)9
Calculate exponent: Calculate the exponent part of the formula.(1+0.036)9≈1.0369≈1.368569
Subtract one: Subtract 1 from the result of Step 5. 1.368569−1≈0.368569
Divide by i: Divide the result of Step 6 by i.0.368569/0.036≈10.238583
Multiply by d: Multiply the result of Step 7 by d to find the future value A.A=620×10.238583≈6347.9016
Round result: Round the result to the nearest dollar.A≈$(6348)