Respuesta :

Answer:

[tex]\$189.50[/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=2\ years\\ P=\$175\\ r=0.04\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$175(1+\frac{0.04}{4})^{4*2}=\$189.50[/tex]