find a bank account balance if the account starts with $100, has an annual rate of 4%, and the money left in the account for 12 years.

Mathematics · Middle School · Wed Jan 13 2021

Answered on

If the Account is compounded yearly at the rate of 4%. It will have $160.10 after 12 years.

A = P (1+r/n)^nt ...is the formula for compounded interest.

P = Starting amount (principal)

r = rate

n = number of times compounded yearly

t = amount of years.

P = 100

r = 0.04 (4% as a decimal)

n = 1 (compounded once per year)

t = 12 years

so,

A = 100 (1+0.04/1)^1*12
A = 100(1+0.04)^12

A = 100 (1.6010...)

A = 160.10322...

. $160.10