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
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