After 7 years, what is the total amount of a compound interest investment of an initial
principal of $1685 at a rate of 4.3% compounded quarterly?

A. 1942.18
B.373,709.25
C.2461.55
D.2273.13

Respuesta :

Answer:

Option D. $2273.13

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=7\ years\\ P=\$1,685\\ r=0.043\\n=4[/tex]  

substitute in the formula above  

[tex]A=\$1,685 (1+\frac{0.043}{4})^{4*7}=\$2,273.13[/tex]