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(b) How long will it take to triple at this rate? 3. The size P of a certain insect population at time t (in days) obeys the law of uninhibited growth. Given the function, P(t) = 500e$^{0.2t}$: (a) Determine the initial amount of insects. (b) What is the growth rate of the the insect population? (c) What is the population after 10 days? (d) How long will it take for the population to reach 800 insects? (e) When will the insect population double? 4. Strontium 90 is a radioactive material that decays according to the function A(t) = A$_0$e$^{-0.0244t}$, where A$_0$ is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 500 grams of strontium 90. (a) What is the decay rate of strontium 90? (b) When will 400 grams of strontium 90 be left? (c) What is the half-life of strontium 90?

          (b) How long will it take to triple at this rate?
3. The size P of a certain insect population at time t (in days) obeys the law of uninhibited growth.
Given the function, P(t) = 500e$^{0.2t}$:
(a) Determine the initial amount of insects.
(b) What is the growth rate of the the insect population?
(c) What is the population after 10 days?
(d) How long will it take for the population to reach 800 insects?
(e) When will the insect population double?
4. Strontium 90 is a radioactive material that decays according to the function A(t) = A$_0$e$^{-0.0244t}$,
where A$_0$ is the initial amount present and A is the amount present at time t (in years).
Assume that a scientist has a sample of 500 grams of strontium 90.
(a) What is the decay rate of strontium 90?
(b) When will 400 grams of strontium 90 be left?
(c) What is the half-life of strontium 90?

(b) How long will it take to triple at this rate?
3. The size P of a certain insect population at time t (in days) obeys the law of uninhibited growth.
Given the function, P(t) = 500e^0.2t:
(a) Determine the initial amount of insects.
(b) What is the growth rate of the the insect population?
(c) What is the population after 10 days?
(d) How long will it take for the population to reach 800 insects?
(e) When will the insect population double?
4. Strontium 90 is a radioactive material that decays according to the function A(t) = A0e^-0.0244t,
where A0 is the initial amount present and A is the amount present at time t (in years).
Assume that a scientist has a sample of 500 grams of strontium 90.
(a) What is the decay rate of strontium 90?
(b) When will 400 grams of strontium 90 be left?
(c) What is the half-life of strontium 90?

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