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Cindy has a savings account with National Bank. She earns 4% interest compounded yearly on $1,250.00. What amount will she receive in interest in three years?

Verified Answer :

Answer:

\(I=\$156.08\)

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

\(A=P(1+\frac{r}{n})^{nt}\)  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

\(t=3\ years\\ P=\$1,250.00\\ r=4\%=4/100=0.04\ =1\)  

substitute in the formula above

\(A=1,250.00(1+\frac{0.04}{1})^{1*3}\)  

\(A=1,250.00(1.04)^{3}\)  

\(A=\$1,406.08\)

Find out the interest

I=A-P

substitute

\(I=\$1,406.08-\$1,250.00\\I=\$156.08\)