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Exponential and Logarithm Review

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  • Given the following exponential function, identify the percent growth/decay.
    3% decay
  • Solve the equation and round to the nearest ten-thousandth.
    36
  • For tax purposes, a car rental company assumes each car in their fleet depreciates by 5% per year. If the initial value of a car is $32,200.00, in how many years will the value depreciate to $23,669.96?
    ≈ 6 years
  • A savings account balance is compounded continuously. If the interest rate is 3% per year and the current balance is $1,115.00, what will the balance be 10 years from now?
    $1,505.09
  • A new social media site is increasing its user base by approximately 4% per month. If the site currently has 39,890 users, what will the approximate user base be 8 months from now?
    54,592 users
  • Given the following exponential function, identify the percent growth/decay.
    2% growth
  • Solve the equation and round to the nearest ten-thousandth.
    1.5572
  • Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded monthly. After 10 years, the balance reaches $12,855.94. What was the amount of the initial investment?
    $8361
  • An employee receives a 2% raise once per year. If the employee's initial salary is $63,200.00, in how many years will the employee's salary reach $75,529.85?
    ≈ 9 years
  • Solve the equation and round to the nearest ten-thousandth.
    1.0873
  • Solve the equation and round to the nearest ten-thousandth.
    .005
  • Solve the equation and round to the nearest ten-thousandth.
    9992
  • A savings account balance is compounded annually. If the interest rate is 3% per year and the current balance is $1,459.00, in how many years will the balance reach $1,742.12?
    ≈ 6 years
  • Solve the equation and round to the nearest ten-thousandth.
    185.1429
  • Your investment of $1,200 gets 5.1% and is compounded semi annually for 7 1/2 years. What will your investment be worth at the end of the term?
    $1,750.72
  • Solve the equation and round to the nearest ten-thousandth.
    5.152
  • Solve the equation and round to the nearest ten-thousandth.
    -0.8856
  • Given the following exponential function, identify the percent growth/decay.
    36% growth
  • Solve the equation and round to the nearest ten-thousandth.
    1
  • Given the following exponential function, identify the percent growth/decay.
    9.1% decay
  • Given the following exponential function, identify the percent growth/decay.
    95% decay
  • Solve the equation and round to the nearest ten-thousandth.
    93
  • A thousand dollars is left in a credit union drawing 7% interest compounded monthly. What is the balance at the end of 10 years?
    $2009.66
  • Solve the equation and round to the nearest ten-thousandth.
    -0.4658
  • A savings account balance is compounded annually. If the interest rate is 2% per year and the current balance is $1,098.00, what will the balance be 9 years from now?
    $1,312.21
  • Solve the equation and round to the nearest ten-thousandth.
    1.3024
  • A thousand dollars is left in a bank savings account drawing 7% interest, compounded quarterly for 10 years. What is the balance at the end of that time?
    $2001.60
  • For tax purposes, a car rental company assumes each car in their fleet depreciates by 5% per year. If the initial value of a car is $27,300.00, what will the value be when the car is 10 years old?
    $16,345.52
  • Given the following exponential function, identify the percent growth/decay.
    98% growth
  • Solve the equation and round to the nearest ten-thousandth.
    1.4882
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