A new born child receives a $8,000 gift toward a college education from her grandparents. How much will the $8,000 be worth in 17 years if it is invested at 72% compounded quarterly?It will be worth $(Round to the nearest cent)

Respuesta :

Answer:

The money will be worth $618111016.19 at the end of 17 years

Explanation:

Initial amount received, P = $3000

Interest rate, r = 72%

r = 72/100

r = 0.72

Number of times compounded in a year, n = 4

Time, t = 17 years

Amount after 17 years will be calculated as:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Substitute P = 8000, r = 0.72, n = 4, and t = 17 into the formula above

[tex]A=8000(1+\frac{0.72}{4})^{4(17)}[/tex][tex]\begin{gathered} A=8000(1+0.18)^{68} \\ A=8000(1.18)^{68} \end{gathered}[/tex]

A = $618111016.19

The money will be worth $618111016.19 at the end of 17 years