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Exponential Equations Using Logarithms

Exponential Equations Using Logarithms. Section 8-5. Write an exponential model for each situation. Then, answer the question. The price of a new home is $210,000. The value of the home appreciates 2% each year. How long will it take the home to be worth $300,000?.

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Exponential Equations Using Logarithms

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  1. Exponential Equations Using Logarithms Section 8-5

  2. Write an exponential model for each situation. Then, answer the question. • The price of a new home is $210,000. The value of the home appreciates 2% each year. How long will it take the home to be worth $300,000? • A new car that sells for $25,000 depreciates 22% each year. How long will it take for the car to be worth $15,000?

  3. In Lake Derf, there are currently 32 alligators. The gator population is increasing at an annual rate of 17%. How long will it take for the lake to have 50 gators?

  4. Sr-85 is used in bone scans. It has a half-life of 64.9 days. Write the exponential function for an 8-mg sample. How long will it take for there to be 5 mg left?

  5. 5. Suppose you invest $5000 at an annual interest rate of 3%. How long will it take your investment to double if it is compounded quarterly?

  6. Solutions to page 456 • 0.05 • 0.3162 • 33 • 10,000 • 1/60 • 12 • 315.2 • 2 • 1.5850 • 2.1240 • 2.7320 • 3.0101 • 3 • 3.4650 • 0.9534 • 0.3579 • 3.2056 • 0.2720 • 300,000,000 • 223,606.8 • 5 • ¼ • 1357.2 • 7 • 79. 2.9315 • 81. 0.6225 • 2.3094 • 85. 0.8505 • 87. 7.4168 • 89. 2.9615 • 91. 1 • 93. 1.0451 • 95. 1.3063

  7. Homework Page 456 #31, 32, 50-52, 80-104 even, 99

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