Nancy has $4,111 in an account that pays 3.07% interest compounded monthly. What is her

ending balance after two years?

M

17

.

Ending balance after 2 years=$4,370.98

Step-by-step explanation:

To calculate her ending balance after two years, we need to get the express the total amount as follows;

A=P (1+r/n) ^nt

where;

A=Total future value of the initial investment

P=Initial value of the investment

r=Annual interest rate

n=number times the interest rate is compounded annually

t=number of years of the investment

In our case;

P=$4,111

r=3.07%=3.07/100=0.0307

n=12

t=2 years

Replacing;

A=4,111 (1+0.0307/12) ^ (12*2)

A=4,111 (1.0026) ^24

A=4,370.98

Ending balance after 2 years=$4,370.98