Question

PLEASE HELP ASAP

Answer 1

Answer:

Step-by-step explanation:

Given the exponential function:

P(t) = 500,000 * e^(-0.099t)

P(t) = population t years later

When population will be one-half the initial amount

Half the initial amount = 500000/2 = 250,000

250000 = 500000 * e^(-0.099t)

250000/50000 = e^(-0.099t)

0.5 = e^(-0.099t)

Take the In of both sides

In(0.5) = - 0.099t

−0.693147 = - 0.099t

0.693147 / 0.099 = t

t =