Comparison Function Problem - Advanced Algebra - Practice Problems, Exercises of Calculus

This lecture is from Advanced Algebra. Key important points are: Comparison Function Problem, Linear Equations, Algebraic Solutions, Multiple Variable Polynomial

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

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Advanced Algebra Ch. 8 Name___________________
8.8 Worksheet
Solve each problem.
1. For a certain strain of bacteria, k is 0.775 when t is measured in hours. How long will it take 2
bacteria to increase to 1000 bacteria?
2. Jackson deposited $100 in a savings account that pays 6% interest compounded continuously. He
just withdrew the entire balance of $200. How long ago did he open the account?
3. The constant k for a radioactive substance is -0.08042 when t is measured in years. In how many
years will a 250-gram sample reduce to 50 grams?
4. A culture of a certain bacteria will grow from 500 to 4000 bacteria in 90 minutes. Find the constant k
for this bacteria if k is in hours.
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Advanced Algebra Ch. 8 Name___________________ 8.8 Worksheet

Solve each problem.

  1. For a certain strain of bacteria, k is 0.775 when t is measured in hours. How long will it take 2 bacteria to increase to 1000 bacteria?
  2. Jackson deposited $100 in a savings account that pays 6% interest compounded continuously. He just withdrew the entire balance of $200. How long ago did he open the account?
  3. The constant k for a radioactive substance is -0.08042 when t is measured in years. In how many years will a 250-gram sample reduce to 50 grams?
  4. A culture of a certain bacteria will grow from 500 to 4000 bacteria in 90 minutes. Find the constant k for this bacteria if k is in hours.
  1. Charlotte invested $1000 in a certificate of deposit three years ago. The CD is now worth $1276. Assuming that the interest was compounded continuously, what was the interest rate?
  2. Keith has saved $2000 to buy a synthesizer that will cost about $2500. If he has the money in an account paying 7.25% compounded continuously, when will Keith be able to buy the synthesizer?
  3. Suppose you deposited $10 in a savings account that pays 8% interest compounded continuously. a. In how many years will the account have a balance of $100?

b. In how many years will the balance be $1000?

Answers: 1. 8.02 hours 2. 11.55 years 3. 20.01 years 4. 1.

  1. 8.12% 6. 3.08 years 7. a. 28.78 years b. 57.56 years