Bank of America offers a 5-year 8% continuously compounded investment option.
Find the amount accrued if $1450 is invested.

Respuesta :

Lanuel

Answer:

A = $2130.49

Step-by-step explanation:

Given the following data;

Time, t = 5 years

Interest rate, r = 8%

Principal = $1450

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 1450(1 + \frac{8}{100})^{5}[/tex]

[tex] A = 1450(1 + 0.08)^{5}[/tex]

[tex] A = 1450(1.08)^{5}[/tex]

[tex] A = 1450 * 1.4693 [/tex]

A = $2130.49