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Algebra Exponent Test Review

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  • 2/3a^4
  • Graph each function and identify its characteristics.
    -8.75, -8.5, -8, -7, -5, Growth, all reals, y > -9, (0, -8), y = -9
  • State whether the following functions represent exponential growth or decay.
    growth, decay, decay
  • 9.5 x 10^6
  • Does the data represent exponential behavior? Explain how you know. If so, write an equation.
    yes, y=-4(-2)^x
  • b^2/a^8
  • Neo invested $7,500 at an interest rate of 4.5% compounded quarterly. Determine the value of his investment in 6 years.
    $9,809.93
  • Create a rule to find the nth term. Then find a11.
    an=4096(.5)^n-1, a 11 = 4
  • -288p^51q^18
  • Create a rule to find the nth term. Then find a11.
    an=-8(-3)^n-1, a11=-472392
  • -5/2p^10q^5
  • -9bc^2
  • b^8/9a^2
  • In 1995, there were 85 rabbits in Central Park. The population increased by 8.5% each year. How many rabbits were in Central Park in 2005?
    192 rabbits
  • Mr. Sherman bought a new car for $20,000. If the car depreciates at a rate of 16% each year, what will be the value of the car after 3 years?
    $11,854.08
  • about 198 fruit flies
  • Does the data represent exponential behavior? Explain how you know. If so, write an equation.
    No, no common ratio.
  • Find the area of the triangle.
    10r^3s
  • 3t^5/r
  • 4.176 x 10^-2