Respuesta :

Answer:

It will take 4 years

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

  • P is the investment
  • r is the annual rate in decimal
  • t is the time

∵ The investment is $40000

P = 40000

∵ The simple interest is $8000

I = 8000

∵ The rate of interest is 5%

∴ r = 5%

→ Change it to decimal by divide it by 100

r = 5 ÷ 100 = 0.05

→ Substitute them in the formula above

8000 = 40000 × 0.05 × t

∴ 8000 = 2000t

→ Divide both sides by 2000

4 = t

∵ t is the time of investment

It will take 4 years