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Q Math 30 Homework Quiz 8 Answers E. x = -8 + ln?4/ln?5 Solve the exponential equation 5x + 8 = 4. 2. A. ln 5 – 7 Solve the exponential equation ex + 7 = 5. 3. D. 0.4865 Solve the exponential equation e4x = 7. Use your calculator to obtain a decimal approximation, correct to four decimal places, for the solution. 4. C. $111,000 You deposit $50,000. in an account paying 8% annual interest, compounded monthly. How much money is in the account after 10 years? Round off to the nearest $1000. 5. A. 46 years A country’s population is described by the model A = 1050e0.015t, where t is years. How long will it take the population to double? Round off to the nearest year.

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1.ln 5x + 8 = ln 4 (x + 8) ln 5 = ln 4 x + 8 = ln?4/ln?5 x = -8 + ln?4/ln?5 2.ln ex + 7 = ln 5 x + 7 = ln 5 x = ln 5 – 7 3.e4x = 7 ln e4x = ln 7 4x = ln 7 x = (ln 7)/4 x = 0.4865 4.A = P (1 + r/n)nt A = 50,000 (1 + 0.08/12)12(10) A = 50,000 (1 + 0.0067)120 A = 50,000 (1.0067)120 A = 50,000 (2.2196) A = $110,982.01 or $111,000

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