Question

you decide to put $175 in a savings account to save on an 3,000 down payment for a car. if the account has an interest rate of 3% per year and is compounded monthly, how long does it take you to earn $3,000 without adding any additional funds

Answer 1

If the account has an interest rate of 3% per year and is compounded monthly, it would take 94.8377 years to earn $3,000 without adding any additional funds.

How? 3% = 0.003 : 12 = 0.0025

175 · (1 + 0.0025)^(12x) = 3,000

175 · (1.0025)^(12x) = 3,000

1.0025^(12x ) = 17.142857

12x = log1.002517.142857

12x = 1138.0524

x = 1138.0524 : 12

x = 94.8377