Question

For the function f(t) = Pet, if P = 5 and r = 0.05, then what is the value of f(5) to the nearest tenth?

a) 12.2
b) 60.9
c) 1.3
d) 6.4

Answer 1

To find the value of f(5) for f(t) = Pet with P = 5 and r = 0.05, you raise e to the power of 0.25, multiply it by 5, and round to the nearest tenth, giving you an answer of 6.4.

Step-by-step explanation:

To compute the value of f(5) for the function f(t) = Pet where P = 5 and r = 0.05, you substitute these values into the function:

f(5) = 5 * e^(0.05*5)

First, multiply 0.05 by 5 to get the exponent:

0.05 * 5 = 0.25

Now, raise Euler's number e to the power of 0.25 and then multiply by 5:

f(5) = 5 * e^0.25

Using a calculator, you'll find that e^0.25 is approximately 1.284025 and when multiplied by 5:

f(5) = 5 * 1.284025 ≈ 6.420125

Rounding to the nearest tenth gives us:

f(5) ≈ 6.4

Therefore, the correct answer is d) 6.4.