Fred wants to invest the $1000 he received for his birthday. He finds an investment opportunity that will earn him 10% compounded monthly. How much money will Fred have after 3 years?

A
$1,002.46

B
$3,597.54

C
$1,348.18

D
$1,919.03

Respuesta :

Answer:

option C . $1,348.18

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=3\ years\\ P=\$1,000\\ r=10\%=10/100=0.10\\n=12[/tex]  

substitute in the formula above

[tex]A=1,000(1+\frac{0.10}{12})^{12*3}[/tex]  

[tex]A=1,000(\frac{12.10}{12})^{36}[/tex]  

[tex]A=\$1,348.18[/tex]