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Math Help - exponential function2 and simplify 2

  1. #1
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    exponential function2 and simplify 2

    1. simplify (27)^\frac{-2}{3}

    2.
    The University of McMaster undergraduate program is growing at a rate of 3% each year. The current enrollment is 12400. Determine when the population will reach 13250.

    3.The deer population on the Bruce trail in 2005, 2006, and 2007 was recorded as 225, 270, and 324 respectively. Using exponential functions, when will the number of deer exceed 500?
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  2. #2
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    Quote Originally Posted by william View Post
    1. simplify (27)^\frac{-2}{3}
    What is the meaning of "the one-third power"? Apply this definition to "27".

    What is the meaning of a negative exponent? Apply this to the result of the previous step.

    What is the meaning of squaring? Apply this to the result of the previous step.

    And then you're done!

    Quote Originally Posted by william View Post
    2. The University of McMaster undergraduate program is growing at a rate of 3% each year. The current enrollment is 12400. Determine when the population will reach 13250.
    Plug the values they gave you (for A, P, r, and n) into the compound-interest (that is, the compounded growth) formula you've memorized. Solve for the time "t".

    Quote Originally Posted by william View Post
    3.The deer population on the Bruce trail in 2005, 2006, and 2007 was recorded as 225, 270, and 324 respectively. Using exponential functions, when will the number of deer exceed 500?
    You can copy the answer from here
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  3. #3
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    Quote Originally Posted by stapel View Post
    What is the meaning of "the one-third power"? Apply this definition to "27".

    What is the meaning of a negative exponent? Apply this to the result of the previous step.

    What is the meaning of squaring? Apply this to the result of the previous step.

    And then you're done!


    Plug the values they gave you (for A, P, r, and n) into the compound-interest (that is, the compounded growth) formula you've memorized. Solve for the time "t".


    You can copy the answer from here
    Thanks..

    1. this is from the exponential function unit so i don't think that formula is involved

    2. i understand i just must change the exponent n right to see when it exceeds that number but it is hard since i forgot my scientific calculator at school.

    3. would you mind computing this for me h(n) \:=\:60\left(\frac{4}{5}\right)^{10}
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  4. #4
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    Quote Originally Posted by william View Post
    Thanks..

    1. this is from the exponential function unit so i don't think that formula is involved

    2. i understand i just must change the exponent n right to see when it exceeds that number but it is hard since i forgot my scientific calculator at school.

    3. would you mind computing this for me h(n) \:=\:60\left(\frac{4}{5}\right)^{10}
    If you are running Windows on your computer, there is a very nice calculator built in. 4/5= 0.8. 0.8^{10}= 0.1073741824 and 60 times that is 6.442450944.
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