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Home :: Contents (2267) :: Algebra (377) :: Exponential Equations

Exponential Equations (6 problems)


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Problem #1: Algebra - Exponential Equations - Solving Exponential Equations

Solve the equation

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Problem #2: Compound Interest

Amount of an investment, the amount of an investment of P dollars for t years at simple rate r is given by

a) Rewrite this formula by factoring the common factor on the right hand side

b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%

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Problem #3: Compound Interest

Suppose that an amount is invested in a savings account at interest rate compounded continuously. Then the amount in the account after years is given by

How long does it take $5,000 to grow to $10,000 at 12% compounded continuously?

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Problem #4: Compound Interest

Suppose that an amount is invested in a savings account at interest rate compounded continuously. Then the amount in the account after years is given by

How long does it take $5,000 to grow to $10,000 at 12% compounded continuously?

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Problem #5: Population Problems
Population Growth of Rabbits: Under ideal conditions, a population of rabbits has an exponential growth rate of 11.7% per day. Consider an initial population of 100 rabbits.
  1. Find the exponential growth function
  2. What will the population be after 7 days? After 2 weeks?
  3. Find the doubling time.
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Problem #6: Properties of the exponential function

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