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A $2000 principal earns 4% interest, compounded monthly. After 3 years, what is the balance in the account?

Respuesta :

2000 X 0.4 = 800
monthly=month   12 months in 1 year
12 X 3 = 36
800 X 36= 28800

The balance in the account is $28800

Principal, P = $2000

Rate , r= 4% = 0.04

Compounded monthly , So , n=12

Time , t=3 years

The formula we use here is

[tex] A= P(1+\frac{r}{n} )^{nt} [/tex]

Lets plug the given values

[tex] A= 2000(1+\frac{0.04}{12} )^{12(3)} [/tex]

[tex] A= 2000(\frac{301}{300} )^{36} [/tex]

Plug in calculator for final answer

A= $2254.54

After 3 years the balance in account should be approx $2254.54