1. A bacteria culture starts with 1000 bacteria, and after 2 hours the population is 2500 bacteria. Assuming that the culture grows at a rate proportional to its size, find the population after 6 hours. 2. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. A roast turkey is taken from the oven when its temperature has reached 185 °F and is placed on a table in a room where the temperature is 75 °F. (a) If the temperature of the turkey is 150 °F after half an hour, what is the temperature after 45 minutes?

Q: A fund earns interest at a force of interest δt = 0.008t. Sam invests $7,000 at time t = 0. After T…

A: Invested money is P = $ 7000 at time t = 0   After t years the money will be A = $8666.26   The…

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A:

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Q: Please don't provide handwritten solution .....

A: 16678.62395Explanation:=16678.62395

Q: It is known that A40 = 0.3 and A60 =0.5. The force of mortality is constant between ages 40 and 60,…

A: A40=0.3A60=0.5μx=μ=0.007i = 0.04 Force of mortality is constant between 40 and 60 Computing a¯*40:20

Q: #13A and #13B

A:

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A: To find current rate of change of wheat production.

Q: 3. Continuous growth or decay follows the formula A(t) = cekt, where c is the initial amount, and k…

A: 1.Given A(t)=cekt At t=0, A(0)=1000 ⇒1000=cek(0)⇒1000=c At t=100, A (100)=100…

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A: To solve the question, first, determine the value of k by using the half-life years. The half-life…

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A: (a) Let pn be the size of the population after n hours.      Then, at time t = n+1 hours, each cell…

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A: Given rt=6001+10t5+t2 where 0≤t≤5 Let Pt be the population at year t, then Pt=∫6001+10t5+t2dt Now,…

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