Mr.Underwood uses the function f(x)=12000(1.065)^x to calculate the growth of his savings account. Which of the following is Mr.Underwoods interest rate

Respuesta :

Mr UNderwoods interest rate is:
r=1.065-1
r=0.065
r=0.065*100%
r=6.5%

Answer: Mr. Underwoods interest rate is 6.5%

The formula to find the amount is

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

The given function is

[tex] f(x) = 12000(1.065)^{x} [/tex]

Comparing them we get

[tex] 1 +\frac{r}{100}=1.065 [/tex]

Subtracting 1 from both sides

[tex] \frac{r}{100}=0.065 [/tex]

Multiplying by 100 on both sides

[tex] r=0.065(100) = 6.5 [/tex]

Mr.Underwoods interest rate is 6.5%