Enrollment in a school district is currently 1250 students and is decreasing at approximately 3% per year. Enter the number of years it will

Question

Enrollment in a school district is currently 1250 students and is decreasing at approximately 3% per year. Enter the number of years it will take the school district enrollment to reach 1000 students. Round your answer to the nearest tenth. Years

in progress 0
Rylee 1 week 2021-09-11T06:31:10+00:00 1 Answer 0

Answers ( )

    0
    2021-09-11T06:33:05+00:00

    Answer: the number of years is 7.3 years

    Step-by-step explanation:

    We would apply the formula for exponential decay which is expressed as

    A = P(1 – r)^ t

    Where

    A represents the population after t years.

    t represents the number of years.

    P represents the initial population.

    r represents rate of growth.

    From the information given,

    P = 1250

    A = 1000

    r = 3% = 3/100 = 0.03,

    Therefore

    1000 = 1250(1 – 0.03)^t

    1000/1250 = (0.97)^t

    0.8 = 0.97^t

    Taking log of both sides, it becomes

    Log 0.8 = tLog 0.97

    – 0.0969 = – 0.0132t

    t = – 0.0969/- 0.0132t

    t = 7.3 years

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )