The equation for future value F of principal P over t years at r% interest compounded continuously is

F=Pe^(rt) =>
8000 = 4000*e^(0.04*t)
Solve for t:
e^(0.04t)=8000/4000=2
0.04t=log(2)
t=log(2)/0.04=17.33 (years)

3 0

3 years ago

Michael drives to work and home from work each workday. He travels a total of 160 miles at the end of the workweek. How far is M

sdas [7]

Answer:

Michael's house is 16 miles away from work.

Step-by-step explanation:

We are given the following in the question:

Total distance traveled by Michael at the end of the workweek = 160 miles.

Let $x$ miles be the distance between Michael's house from work.

Thus, total distance covered in one day =

$2x\text{ miles}$

Total distance covered in one weekday(5 days) =

$2x\times 5 = 10x\text{ miles}$

Equating,

$10x = 160\\\Rightarrow x = 16$

Thus, Michael's house is 16 miles away from work.

6 0

3 years ago