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Math Help - Please Help my teacher is out of town and I am very lost!

  1. #1
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    Please Help my teacher is out of town and I am very lost!

    1. How many years would it take your money to double:
    (a) At 10% interest compounded yearly.
    (b) At 10% interest compounded weekly. ___ years and ____ weeks
    (c) At 10% interest compounded continuously. ____ years

    2. The cost of producing x units of a product is given by
    C(x)=800+90x−90ln(x),x≥1.
    Find the minimum average cost.

    3. The demand function for a certain children bicycle is given by x=10((50−p)/p)^(1/2)
    where x is the quantity demanded per week and p (0 < p < 50) is the unit price in dollars.
    (a) Evaluate the elasticity at 40. E(40)=
    (b) When is the demand unitary.
    (d) What is the maximum revenue?

    4. A bacteria culture starts with 760 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1520 bacteria.
    (a) Express the population after t hours as a function of t.
    (b) What will be the population after 3 hours?
    (c) How long will it take for the population to reach 1510 ?

    THANK YOU SO MUCH IN ADVANCE
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  2. #2
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    Re: Please Help my teacher is out of town and I am very lost!

    Quote Originally Posted by chosendude View Post
    1. How many years would it take your money to double:
    (a) At 10% interest compounded yearly.
    (b) At 10% interest compounded weekly. ___ years and ____ weeks
    (c) At 10% interest compounded continuously. ____ years
    You were left with an assignment and NO instructions?

    (a) 1.1^{n} = 2 -- Solve for n

    (b) \left(1+\frac{0.1}{52}\right)^{n} = 2 -- Solve for n

    (c) e^{0.1\cdot n} = 2 -- Solve for n.

    You're down to algebra skills. Show us that and we can talk about the others.
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  3. #3
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    Re: Please Help my teacher is out of town and I am very lost!

    I took the natural log of both sides to bring down the exponent. then divided to separate it to x, ( for example for the first answer i get 7.272540897) however according to the website this is not the correct answer
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  4. #4
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    Re: Please Help my teacher is out of town and I am very lost!

    Quote Originally Posted by chosendude View Post
    1. How many years would it take your money to double:
    (a) At 10% interest compounded yearly.
    (b) At 10% interest compounded weekly. ___ years and ____ weeks
    (c) At 10% interest compounded continuously. ____ years

    2. The cost of producing x units of a product is given by
    C(x)=800+90x−90ln(x),x≥1.
    Find the minimum average cost.

    3. The demand function for a certain children bicycle is given by x=10((50−p)/p)^(1/2)
    where x is the quantity demanded per week and p (0 < p < 50) is the unit price in dollars.
    (a) Evaluate the elasticity at 40. E(40)=
    (b) When is the demand unitary.
    (d) What is the maximum revenue?

    4. A bacteria culture starts with 760 bacteria and grows at a rate proportional to its size. After 2 hours there will be 1520 bacteria.
    (a) Express the population after t hours as a function of t.
    (b) What will be the population after 3 hours?
    (c) How long will it take for the population to reach 1510 ?

    THANK YOU SO MUCH IN ADVANCE
    This looks like work that counts towards your grade. MHF policy is to not knowingly help with such work. It's meant to be your own work. See rule #6: http://www.mathhelpforum.com/math-he...hp?do=vsarules.

    Thread closed.
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