Imagine you have invested $800 into a savings account that earns 3.5% interest compounded annually. What is the balance of your account after 5 years without more deposits or withdrawals?

Respuesta :

Answer:

The balance of your account after 5 years without more deposits or withdrawals will be $950.15.

Step-by-step explanation:

The compound interest formula is given by:

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

Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

[tex]P = 800, r = 0.035, t = 5, n = 1[/tex]

So

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

[tex]A = 800(1 + \frac{0.035}{1})^{1*5}[/tex]

[tex]A = 950.15[/tex]

The balance of your account after 5 years without more deposits or withdrawals will be $950.15.

ACCESS MORE