Question

How many years will it take for the area of the glacier to decrease to 15 square kilometers

Answer 1

Answer:

  20ln(3)

Step-by-step explanation:

Put 15 for A and solve for t.

  15 = 45e^(-.05t)

  15/45 = 1/3 = e^(-.05t) . . . . divide by 45

  ln(1/3) = -.05t . . . . . . . . . . . take natural logs

  20ln(3) = t . . . . . . . . . . . . . . multiply by 20, simplify

It will take 20·ln(3) years for the area to decrease to 15 km^2.