1. You rent a wedding venue for a cost of $3200. The cost includes a catered lunch for 50 guests.For each additional guest, though, the catered lunch costs $31.a. What is the cost of the venue and lunch if you invite 100 guests?b. Find a formula showing the cost of the venue and lunch as a function of n, the number of50.guests. Assume that n is at leastC. The amount you have budgeted forguests can you invite?How manythe venue and catered lunch is $5500.

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Answered: 1. You rent a wedding venue for a cost…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 3x² - 4x + 10. Complete parts a through d below. a. Find the average rate of change of profit as x changes from 4 to 6. $ per item b. Find the average rate of change of profit as x changes from 4 to 5. per item c. Find and interpret the instantaneous rate of change of profit with respect to the number of items produced when x=4. (This number is called the marginal profit at x=4.) $ per item
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A,b,c
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Cyril plans to invest $5500 in a money market account that pays interest compounded annually. a. Write a formula for the balance, B in Cyril's account after two years as a function of the interest rate, r. B = 5500(1+1/100)^2 b. If Cyril would like to have $6000 in two years, what interest rate must the account pay? r = 4.6 c. Use your calculator to graph the formula for Cyril's account balance. Locate the point on the graph that corresponds to the amount in part (b).
For each $1 increase in the price of a $300 plane ticket, an airline will lose 60 passengers, so if the ticket price is increased to $x, the decrease in passengers is modeled by 60(300 – x).Determine whether the statement makes sense or does not make sense, and explain your reasoning.
You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in groups. One room rents for $75.00, two for $73.00 each, and in general the group rate per room is found by taking $2 off the base of $75 for each extra room rented. (b) Use a formula to give the rate you charge for each room if you rent n rooms to an organization. (c) Find a formula for a function R = R(n) that gives the total revenue from renting n rooms to a convention host. (d) Use functional notation to show the total revenue from renting a block of 7 rooms to a group. Calculate the value.
Ellis is filling a container with water at a constant rate. The graph shows how the volume of water in the container varies with the amount of tìme since the container began filling. We see that there are 6 liters of water in the container when the container has been filling for 3 minutes. -1 4 Time -1+ a. Define a formula to determines the volume (in liters) of water in the container, v, in terms of the number of number of minutes, t, since the container began to fill. Preview b. Define a formula to determine the number of minutes the container has been filling, t, in terms of the number of liters that have been added to the tank, v. Preview Box 1: Enter your answer as an equation. Example: y=3x^2+1, 2+x+y=3 Be sure your variables match those in the question Box 2: Enter your answer as an equation. Example: y=3x^2+1, 2+x+y33 Be sure your variables match those in the question bunjon

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