Question

# You decide to start a savings account in 2020 and you begin by putting \$300 into...

You decide to start a savings account in 2020 and you begin by putting \$300 into the account every month. If the APR on the account is 3%, how much money will you have in the account by 2055? Round to the nearest whole dollar. (no commas)

Total in Account: \$

Of your calculated Total deposit amount, how much money total would you have put into the account by 2055? Round to the nearest whole dollar. (no commas)

Total money deposited: \$

How much money in the account would have been earned from interest? Round to the nearest whole dollar. (no commas)

Interest: \$

Given,

APR = 3% = 0.03

Monthly amount deposit = \$300

Effective monthly interest rate i = 0.03/12 = 0.0025

Time = 2055 - 2020 = 35 years

Number of deposits n = 35*12 = 420

Amount in account at the end of 2055 = 120(((i+1)^n - 1)/i)

substitute values

= 300[((1+0.0025)^420 -1)/0.0025]

Total amount in account = 222469.0971

Total amount deposited in account = 300*n

= 300*420

= 126000

Interest earned = Total amount in account - Total amount deposited in account

= 222469.0971 - 126000

= \$96469.0971

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