I am needing help with the following:
1) An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
b) Graph this function and show the graph over the valid range of the variable x.
2) The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by A = P(1 + r/n)^(nt), where:
A is the amount of returned,
P is the principal amount initially deposited,
r is the annual interest rate (expressed as a decimal),
n is the compound period, and
t is the number of years.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
1) An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out.
a) Find the function V that represents the volume of the box in terms of x.
b) Graph this function and show the graph over the valid range of the variable x.
2) The formula for calculating the amount of money returned for an initial deposit money into a bank account or CD (Certificate of Deposit) is given by A = P(1 + r/n)^(nt), where:
A is the amount of returned,
P is the principal amount initially deposited,
r is the annual interest rate (expressed as a decimal),
n is the compound period, and
t is the number of years.
Suppose you deposit $10,000 for 2 years at a rate of 10%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
