Solve the problem.A box has a base whose length is twice its width. The volume of the box is 7000 cubic inches.a) Find a function for the surface area of the box.b) What are the dimensions of the box that minimizes surface area?

What will be an ideal response?


a)Surface area equals A(x) = 4x2 + , x > 0, where x equals the width of the box.
b) width ? 13.8 in, length ? 27.6 in, height ? 18.4 in

Mathematics

You might also like to view...

Solve the problem.Cathy May deposits $15,000 at the end of each year for 13 years in an account paying 4% compounded annually. She then puts the total amount on deposit in another account paying 5% compounded semiannually for another . Find the final amount on deposit after the entire  period. Round your answer to the nearest cent.

A. $319,256.37 B. $661,739.25 C. $408,675.14 D. $370,599.09

Mathematics

Provide an appropriate response.An adjustable rate mortgage means:

A. payments will be larger than on a fixed rate mortgage B. the interest rate cannot change C. the interest rate is fixed for the first five years D. the interest rate can change

Mathematics

Solve and graph the inequality. Give answer in interval notation.12x + 20 > 4(2x + 2)

A. (-?, 12)

B. (-?, -3)

C. (-3, ?)

D. (12, ?)

Mathematics

Perform the indicated operation. Write your result in a + bi form.4i ? 10i

A. -40i B. 40i2 C. -40 D. 40

Mathematics