Respuesta :

A=7,500×(1+0.06÷4)^(4×2)
A=8,448.69

Interest earned=8,448.69−7,500
Interest earned=948.69

Answer:

The answer is $948.75.

Step-by-step explanation:

P = 7500

t = 2

r = 6% or 0.06

n = 4 (quarterly means 4 times in a year)

Now, compound interest formula is given as :

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

Now putting these values in the formula, we get

[tex]A=7500(1+\frac{0.06}{4})^{4*2}[/tex]

=> [tex]A=7500(1.015)^{8}[/tex]

A = $8448.75

So, interest earned will be = [tex]8448.75-7500=948.75[/tex] dollars

The answer is $948.75.