Math Worksheet With Answer Key - Patterson Page 8

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51) ln x = 5
51)
52) 5 + 3 ln x = 7
52)
53) ln
x + 2 = 7
53)
54) ln 4 + ln (x - 1) = 0
54)
Solve.
55) The value of a particular investment follows a pattern of exponential growth. In the year
55)
2000, you invested money in a money market account. The value of your investment t
years after 2000 is given by the exponential growth model A = 3200e 0.06t . How much did
you initially invest in the account?
56) The value of a particular investment follows a pattern of exponential growth. In the year
56)
2000, you invested money in a money market account. The value of your investment t
years after 2000 is given by the exponential growth model A = 1600e 0.052t . By what
percentage is the account increasing each year?
Solve the problem.
71,000
57) The logistic growth function f(t) =
models the number of people who
57)
1 + 2365.7e -1.2t
have become ill with a particular infection t weeks after its initial outbreak in a particular
community. How many people were ill after 7 weeks?
8

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