If $240 is invested at an interest rate of 9% per year and is compounded monthly, how much will the investment be worth in 14 years?

$68.39
$704.28
$842.13
$846.10

Respuesta :

it is 842.13.............................

Answer:

Option [tex]\$842.13[/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=14\ years\\ P=\$240\\ r=0.09\\n=12[/tex]  

substitute in the formula above  

[tex]A=\$240(1+\frac{0.09}{12})^{12*14}=\$842.13[/tex]