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

Re: Please Help my teacher is out of town and I am very lost!

Quote:

Originally Posted by

**chosendude** 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) $\displaystyle 1.1^{n} = 2$ -- Solve for n

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

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

You're down to algebra skills. Show us that and we can talk about the others.

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

Re: Please Help my teacher is out of town and I am very lost!

Quote:

Originally Posted by

**chosendude** 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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