Nora's savings account has a balance of $3979. After 4 years, what will the amount of interest be at 12% compounded semiannually? a. $2367.92 c. $2362.92 b. $4774.80 d. $2353.92

Respuesta :

The correct answer is C.$2362.92

Answer:

Option C  [tex]I=\$2,362.92[/tex]

Step-by-step explanation:

we know that

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

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  

[tex]t=4\ years\\ P=\$3,979\\ r=0.12\\n=2[/tex]  

substitute in the formula above  

[tex]A=\$3,979(1+\frac{0.12}{2})^{2*4}[/tex]  

[tex]A=\$6,341.92[/tex]  

Find the amount of interest

[tex]I=\$6,341.92-\$3,979=\$2,362.92[/tex]

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