Autumn invested $2,800 in an account paying an interest rate of 6.2% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 8 years?

Respuesta :

Answer: There would be $4590 (approx.) in the account after 8 years.

Step-by-step explanation:

Formula to calculate accumulated amount if compounded monthly :

[tex]A= P(1+\dfrac{r}{12\times100})^{12t}[/tex], where P+ principal value, r = rate of interest , t = time.

Given: P=$2,800 , r = 6.2%

t= 8 years

Substitute all values in the formula , we get

[tex]A=2800(1+\dfrac{6.2}{1200})^{12\times8}\\\\=2800(1+0.005167)^{96}\\\\=2800(1.005167)^{96}\\\\=2800(1.64009619996)=4592.2693\approx4590\text{ [Rounded to the nearest ten dollars] }[/tex]

Hence, There would be $4590 (approx.) in the account after 8 years.

Answer:

4590Step-by-step explanation: