y Suppose customers in a hardware store are vwilling to buy N(p) boxes of nails at...
Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, as given by the following function. N(p) = 100 - 3p? 15ps4 ho a. Find the average rate of change of demand for a change in price from $2 to $3. The average rate of change of demand for a change in price from $2 to $3 is boxes per dollar (Type an integer or a decimal.) b. Find the instantaneous...
B. find the instantaneous rate of change for the demand for boxes of nails C. at a price of $3 per box, at what rate does demand change 3. Customer demand for N boxes of nails at p dollars per box, as given by N(p) = 80 - 3 p? 15 p 5 5 Find the average rate of change of demand for a change in price from $2 to $4. (3 pts.)
1. A random sample of 30 boxes of bolts was purchased at a local hardware store and the average number of bolts per box was 52. It is known that the population standard deviation of bolts per box is 6 bolts. a Is this a z or t-distribution? Why? b. Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Round to 3 decimal places. C What would...
Score: U 2.5.95-LS A person x inches tall has a pulse rate of y beats per minute, as given approximately by - 1/3 y = 576x for 30 sxs 75. What is the instantaneous rate of change of pulse rate for the following heights ? (A) 33-inches ig (B) 70-inches What is the instantaneous rate of change of pulse rate for a 33 inch tall person? ady beats per minute per inch (Round to the nearest hundredth as needed.) -ad...
Consider the following function. f(t)4t5 Find its average rate of change over the interval [1, 4] At Compare this rate with the instantaneous rates of change at the endpoints of the interval f(4) Need Help? Read It Watch It Talk to a Tutor Consider the following function f(x)x18x 2 Find its average rate of change over the interval [-9, 1]. Ay Ax Compare this rate with the instantaneous rates of change at the endpoints of the interval f-9) f(1) Need...
Acompany has agreed to pay $4.6 million in 6 years to setle a lawsuit. How much must it invest in an account paying 6% annual interest compounded monthly to have that amount when it is due? What is the interest rate per period? (Type an integer or decimal rounded to four decimal places as needed) of inflation has been running at 2.57% per year and a new car costs $34,200 today, what would it have cost 2 years ago? A...
3) Suppose that the price p (in dollars) and weekly sales x (in 1000s) of light bulbs satisfy the demand equation 2p, + x2-275. Determine the rate at which sales are changing per week at a time when x-4, p-6, and price is falling at the rate of $0.30/week 4) If a cost function is Cx) ma find the marginal cost when x 3. Round you answer to 2 decimal places 5) Find the derivative: y = eB- 6) Show...
A candy box is made from a piece of cardboard that measures 25 by 14 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. Find the length of the side of the square that must be cut out if the volume of the box is to be maximized. What is the maximum volume? 14 in. A square with a side of length of 2.88 inches...
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...
c) The demand function for books in Pick n Pay is given by P quantity demanded and P is the price per book. 50-0.3Q, where Q is the i. Find the number of books that will be bought when the price is K2. ii. iii. Find the price elasticity of the demand when the number of books bought is 30. ] Calculate the percentage change in quantity demanded when the price increases by 10% (use the coefficient price elasticity of...