1.4 Practice Problems

J. Zachary Klingensmith

Problem 1.4.1: The number of fish in a pond is measured by the following exponential equation:

P(t)=300\times 1.04^t.

How many fish will be in the pond after 1 year? 5 years? 10 years? 50 years? Is this reasonable?

Answer: 312; 365; 444; 2,132

Problem 1.4.2: Evaluate the following logarithms. Round to two decimal places.

\log_{2}64

\log_{5}125

\log_{6}100

\log_{4}70

\log_{8}200

Answers: 6; 3; 2.57; 3.07; 2.55

Problem 1.4.3: Solve for t when y=50:

y=10\times 1.04^t

Answer: 41.035

Problem 1.4.4: Solve for t when y=200:

y=20\times 1.08^t

Answer: 29.919

Problem 1.4.5: Solve for t when y=80:

y=5\times 1.1^t

Answer: 29.090

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The Math of Money - Archived Copyright © by J. Zachary Klingensmith is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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