Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Chapter 8.III, Problem 16TIE
To determine
To calculate: The selling price per pound of roses to achieve
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A communications tower is located at the top
of a steep hill, as shown. The angle of
inclination of the hill is 77°. A guy wire is to be
attached to the top of the tower and to the
ground, 102 ft downhill from the base of the
tower. The angle formed by the guy wire is 9°.
Find the length of the cable required for the
guy wire.
9°
102 ft
77°
NOTE: The picture is NOT drawn to scale.
length of guy-wire =
ft
Enter your answer as a number; your answer
should be accurate to 2 decimal places.
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Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N'(t) = Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant.
(a) Suppose A = 60, and at 3 days, the cells are growing at a rate of 180 per day. Find a formula for the number of cells after t days, given that 200 cells are present at t = 0.
(b) Use your answer from part (a) to find the number of cells present after 8 days.
(a) Find a formula for the number of cells, N(t), after t days.
N(t) =
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
Chapter 8 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 8.I - For the following, use the basic retailing...Ch. 8.I - For the following, use the basic retailing...Ch. 8.I - Prob. 3TIECh. 8.I - Prob. 4TIECh. 8.I - Prob. 5TIECh. 8.I - Prob. 6TIECh. 8.I - Prob. 1RECh. 8.I - For the following items, calculate the missing...Ch. 8.I - Prob. 3RECh. 8.I - For the following items, calculate the missing...
Ch. 8.I - Prob. 5RECh. 8.I - Item Cost Amount of Markup Selling Price Percent...Ch. 8.I - Prob. 7RECh. 8.I - Amount of Percent...Ch. 8.I - Amount of Percent Markup Item Cost Markup Selling...Ch. 8.I - Amount of Percent Markup Item Cost Markup Selling...Ch. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Prob. 14RECh. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Prob. 16RECh. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Prob. 21RECh. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Solve the following word problems. Round dollars...Ch. 8.I - Prob. 24RECh. 8.I - Solve the following word problems. Round dollars...Ch. 8.II - Deals on Wheels buys bicycles from the distributor...Ch. 8.II - Prob. 8TIECh. 8.II - At Video Outlet, a PlayStation 4 game is marked up...Ch. 8.II - For the following items, calculate the missing...Ch. 8.II - Prob. 2RECh. 8.II - Prob. 3RECh. 8.II - Prob. 4RECh. 8.II - For the following items, calculate the missing...Ch. 8.II - For the following items, calculate the missing...Ch. 8.II - Prob. 7RECh. 8.II - For the following items, calculate the missing...Ch. 8.II - For the following items, calculate the missing...Ch. 8.II - For the following items, calculate the missing...Ch. 8.II - For the following items, calculate the missing...Ch. 8.II - For the following items, calculate the missing...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Prob. 14RECh. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - Solve the following word problems. Round dollars...Ch. 8.II - 23. If Costco pays $37.50 for the vacuum cleaner...Ch. 8.III - A tennis racquet that originally sold for $75 was...Ch. 8.III - Craftsman’s Village originally sold paneling for...Ch. 8.III - Prob. 14TIECh. 8.III - In September, Tire Depot in Chicago purchased snow...Ch. 8.III - Prob. 16TIECh. 8.III - Prob. 1RECh. 8.III - Prob. 2RECh. 8.III - Prob. 3RECh. 8.III - For the following items, calculate the missing...Ch. 8.III - Prob. 5RECh. 8.III - Prob. 6RECh. 8.III - Prob. 7RECh. 8.III - Prob. 8RECh. 8.III - For the following items, calculate the missing...Ch. 8.III - Prob. 10RECh. 8.III - Prob. 11RECh. 8.III - Prob. 12RECh. 8.III - Prob. 13RECh. 8.III - Solve the following word problems. Round dollars...Ch. 8.III - Prob. 15RECh. 8.III - Solve the following word problems. Round dollars...Ch. 8.III - Prob. 17RECh. 8.III - Prob. 18RECh. 8.III - Solve the following word problems. Round dollars...Ch. 8.III - Solve the following word problems, rounding...Ch. 8.III - Solve the following word problems, rounding...Ch. 8.III - Solve the following word problems. Round dollars...Ch. 8.III - Solve the following word problems. Round dollars...Ch. 8 - The retailing equation states that the selling...Ch. 8 - 2. In business, expenses are separated into two...Ch. 8 - There are two ways of expressing markup as a...Ch. 8 - Write the formula for calculating the selling...Ch. 8 - Prob. 5CRCh. 8 - The percent markup based on selling price is equal...Ch. 8 - Prob. 7CRCh. 8 - Prob. 8CRCh. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - A price reduction from the original selling price...Ch. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - 14. Products that have a certain shelf life and...Ch. 8 - Solve the following word problems. Round dollars...Ch. 8 - Prob. 2ATCh. 8 - Prob. 3ATCh. 8 - Solve the following word problems. Round dollars...Ch. 8 - Solve the following word problems. Round dollars...Ch. 8 - Prob. 6ATCh. 8 - Solve the following word problems. Round dollars...Ch. 8 - Solve the following word problems. Round dollars...Ch. 8 - Solve the following word problems. Round dollars...Ch. 8 - Solve the following word problems. Round dollars...Ch. 8 - Prob. 11ATCh. 8 - Prob. 12ATCh. 8 - Solve the following word problems. Round dollars...Ch. 8 - Solve the following word problems. Round dollars...Ch. 8 - Solve the following word problems. Round dollars...
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- The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given by the following function. R'(x) = 4x (x² +26,000) 2 3 (a) Find the total revenue function if the revenue from 125 devices is $17,939. (b) How many devices must be sold for a revenue of at least $50,000? (a) The total revenue function is R(x) = (Round to the nearest integer as needed.) given that the revenue from 125 devices is $17,939.arrow_forwardUse substitution to find the indefinite integral. S 2u √u-4 -du Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. A. Substitute u for the quantity in the numerator. Let v = , so that dv = ( ) du. B. Substitute u for the quantity under the root. Let v = u-4, so that dv = (1) du. C. Substitute u for the quantity in the denominator. Let v = Use the substitution to evaluate the integral. so that dv= ' ( du. 2u -du= √√u-4arrow_forwardConsider the state space model X₁ = §Xt−1 + Wt, Yt = AX+Vt, where Xt Є R4 and Y E R². Suppose we know the covariance matrices for Wt and Vt. How many unknown parameters are there in the model?arrow_forward
- Use substitution to find the indefinite integral. Зи u-8 du Describe the most appropriate substitution case and the values of u and du. Select the correct choice below and fill in the answer boxes within your choice. A. Substitute u for the quantity in the numerator. Let v = , so that dv = ( ( ) du. B. Substitute u for the quantity under the root. Let v = u-8, so that dv = (1) du. C. Substitute u for the quantity in the denominator. Let v = so that dv= ( ) du. Use the substitution to evaluate the integral. S Зи -du= u-8arrow_forwardAloha Airlines Flight 007 is flying due east but finds it necessary to detour around a group of thundershowers. The plane 1st turns at a bearing of N 73° E, flies for a while, then 2nd turns to intercept the original path and travels for 50 km at a bearing of S 41° E, back to the original path. As stated the plane traveled 50 km in the 2nd leg of the journey getting back to the path. How far did the plane travel in the 1st leg of the journey?arrow_forwardQuestion 6 Aloha Airlines Flight 007 is flying due east but finds it necessary to detour around a group of thundershowers. The plane 1st turns at a bearing of N 73° E, flies for a while, then 2nd turns to intercept the original path and travels for 50 km at a bearing of S 41° E, back to the original path. As stated the plane traveled 50 km in the 2nd leg of the journey getting back to the path. How far did the plane travel in the 1st leg of the journey? Question Help: Video Submit Question Jump to Answer P3 E E T Q Search L W F1 % R R FS F € t X C V 08 7 47 * B FB Y I E 7 コ コ I Barrow_forward
- Find the cost function if the marginal cost function is given by C'(x) = x C(x) = 2/5 + 5 and 32 units cost $261.arrow_forwardFind the cost function if the marginal cost function is C'(x) = 3x-4 and the fixed cost is $9. C(x) = ☐arrow_forwardFor the power series ∞ (−1)" (2n+1)(x+4)” calculate Z, defined as follows: n=0 (5 - 1)√n if the interval of convergence is (a, b), then Z = sin a + sin b if the interval of convergence is (a, b), then Z = cos asin b if the interval of convergence is (a, b], then Z = sin a + cos b if the interval of convergence is [a, b], then Z = cos a + cos b Then the value of Z is -0.502 0.117 -0.144 -0.405 0.604 0.721 -0.950 -0.588arrow_forward
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