7. According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate is continues, the model P(t)=304⋅(1.011)t−2008P(t)=304⋅(1.011)t-2008 represents the population PP (in millions of people) in year tt.
7. According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate is continues, the model
P(t)=304⋅(1.011)t−2008P(t)=304⋅(1.011)t-2008
represents the population PP (in millions of people) in year tt.
According to the model, when will the population be 500 million people? Be sure to round your answer to the nearest whole year.
8. The rabbit population at the city park increases by 15% per year. If there are intially 175 rabbits in the city park.
a) Write a model for the population (y) in terms of years (t). y=y=
b) Find the rabbit population in 14 years. (Round to the nearest whole rabbit)
c) How long will it take for the rabbit population to reach 12456. Round your answer to 3 decimal places.
9. An investment has been losing money. Its value has been decreasing at the rate of 10.6% per year. After 12 years of decrease, the investment's current value is $53,330. What was the initial value of the investment?
10. A fine antique has been appreciating in value since its purchase. Its value has been increasing at the rate of 6% per year. After 9 years of increase, the antique's current value is $66,410. What was the initial value of the antique?
11. 100 mg of a medication is administered to a patient. After 7 hours, only 22 mg remains in the bloodstream. If the decay is continuous, what is the continuous decay rate (as a percentage)?
13. Convert the equation f(t)=362(0.67)tf(t)=362(0.67)t to the form f(t)=aektf(t)=aekt. Write your answer using function notation. Round all values to three decimal places
14 Convert the formulaf(t)=280e0.19tf(t)=280e0.19t to the form f(t)=abtf(t)=abt. Write your answer using function notation. Give answers accurate to three decimal places
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