Respuesta :

Answer:

The present value is [tex]\$13,764.38[/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=5\ years\\ P=\$8,400\\ r=0.10\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$8,400(1+\frac{0.10}{4})^{4*5}=\$13,764.38[/tex]