A box with an open lop a to be constructed from a rectangular piece of cardboard
ID: 2875771 • Letter: A
Question
A box with an open lop a to be constructed from a rectangular piece of cardboard with dimensions 13 inches by 28 inches by cutting ou t equal squares of side x at each corner and then folding up the sides as in the figure Express the volume V of the box as a function of x. Suppose that the number of OVR's manufactured at a factory is given by N(t) = 7t where t is the number of hours that the factory has been In operation. Suppose that the cost. In dollars, of producing n units is given by C(n) = 248 + 44n. Find and interpret (C N)(t) Rajan invests $10.000 in a savings account Interest is compounded annually at an annual rate of r. A formula for the amount A in the account after two years as a function of the interest rate r it A(r) = 10.000(1 + r)^2. Write r as a function of A. Suppose that the population of a certain town, in thousands, was 106 in 1990 and 141 in 2002 Assume that the population growth can be approximated by a straight line. Find the equation of a line which will estimate the population of the town, in thousands, in any given year since 1990. The numerator of a fraction is 4 times the denominator. If 1 is subtracted from the 19 numerator, and added to the denominator, the resulting fraction is equal to 19/6. Find the original fraction The length and width of a rectangle have a sum of 176 What dimensions will give the maximum area? An omelette costs $1 50 more than Mario's order of pancakes Alter treating his family to breakfast. Mario is sure that 5 omelettes and 3 orders of pancakes cost more than $25 but not more than $40, including tax of 7% and a tip of $350. In what price range is an order of pancakes? A rectangular enclosure must have an area of at least 1800 yd^2. If 220 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie? Suppose the consumption of electricity grows at 6-8% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundredth.Explanation / Answer
31)
Length of box = 28-2x
breadth of box = 13-2x
height of box = x
volume = length *breadth * height
= (28-2x)*(13-2x)*x
32)
C(n) = 248 + 44 n
in place of n write 7t
(C o N)(t) = 248 + 44*7t
= 248 + 308*t
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