question 6 of 10 for the function f(t)=pe^t, if p = 8 and r = 0.08, then what is the value of f(8) to the…

Explanation:

Step1: Substitute values into function

Given $f(t)=Pe^{rt}$, substitute $P = 8$, $r=0.08$ and $t = 8$. So $f(8)=8e^{0.08\times8}$.

Step2: Calculate exponent value

First, calculate $0.08\times8=0.64$. Then $f(8)=8e^{0.64}$.

Step3: Find the value of $e^{0.64}$

Using a calculator, $e^{0.64}\approx1.89648$.

Step4: Calculate $f(8)$

Multiply 8 by $e^{0.64}$, so $f(8)=8\times1.89648 = 15.17184$.

Step5: Round to nearest tenth

Rounding $15.17184$ to the nearest tenth gives $15.2$.

Answer:

B. 15.2