SOLUTION: 1. The current pop. of a small city is 9110 people. If the pop. will increase at an annual rate of 2.78%, how many years will it take for the town to reach a pop of 34253?
2. Th
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Question 188851: 1. The current pop. of a small city is 9110 people. If the pop. will increase at an annual rate of 2.78%, how many years will it take for the town to reach a pop of 34253?
2. The half life of a radioactive substance is ninety(90) day. How many days will it take for seventy-five percent (75%) of the substance to decay?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1. The current pop. of a small city is 9110 people. If the pop. will increase at an annual rate of 2.78%, how many years will it take for the town to reach a pop of 34253?
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Equation:
9110(1.0278)^x = 34253
1.0278^x = 3.7599
Take the log of both sides:
x = [log3.7599]/[log1.0278]
x = 48.3 years
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2. The half life of a radioactive substance is ninety(90) day. How many days will it take for seventy-five percent (75%) of the substance to decay?
0.75Ao = Ao(1/2)^(t/90)
(1/2)^(t/90) = 0.75
Take the log and solve for "t":
(t/90) = [log0.75]/[log(1/2)]
t/90 = 0.4150
t = 37.4 minutes
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Cheers,
Stan H.
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