Solve this system of equations == -11 14 3x - y 3x+4y = I y Question...

  

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Solve this system of equations == -11 14 3x - y 3x+4y = I y Question 4 Solve this system of equations -2x+3y = 13 3x = -15 0/6 pts 499 Details x = y = Question Help: Video Message instructor Submit Question Question 5 0/6 pts 499 Details Solve this system of equations. Give your solution as an ordered pair, using integers or reduced fractions for the coordinates. x+4y = 11 4x+2y = 16 Question Help: Video Message instructor Submit Question Question 6 Solve this system of equations 2x 3y = 9 -4x-3y = -9 Question Help: Video Message instructor Submit Question 0/6 pts 499 Details 0/6 pts 499 Details Question 9 Find the market equilibrium point for the following demand and supply equations. Demand: p = -3q+510 Supply: p 9q 1374 = The market equilibrium point is Question Help: Message instructor Submit Question 0/6 pts 499 Details Question 10 Find the market equilibrium point for the following demand and supply equations. Demand: 3pq+78 - Supply: 2p q = 17 The market equilibrium point is Question Help: Message instructor Question 11 0/6 pts 499 Details A certain retailers will buy 22 cordless phones from a supplier if the price is $48 each but only 24 if the price is $36. The supplier will furnish 62 phones at $57.75 each and 39 at $40.5 each. Assume the supply and demand functions are linear, find the supply and demand functions and the market equilibrium point. Demand: p = Supply: p = Market Equilibrium point: Question Help: Message instructor Submit Question Question 12 0/6 pts 499 Details You just joined the local arboretum for a flat fee of $72. They charge an extra $32 for each special event. The nearby garden conservatory charges a flat fee of $74 plus and extra $28 for each special event. After how many special events will the cost be the same? Your job is to setup two equations to answer this question (we will not solve this system right now). Use y as the total cost and a as the number of special events. Write your two equations below. Your 1st equation: Your 2nd equation: Question Help: Video Message instructor Submit All Parts Question 13 0/6 pts 499 Details Cost, Revenue, and Profit You decide to begin selling ice cream cones at the local fair. Your cost for each ice cream cone is $0.79 plus you have to pay a fee of $120 each week for the booth. Your plan is to sell each ice cream cone for $2.89. Note that in business, costs are any money you pay out. Revenue is any money you receive through sales. Profit is total revenues minus total costs. 1. Write a function, C(n), to represent your total costs for the week if you sell n ice cream cones. C(n) = 2. Revenue is the amount of money you earn from selling ice cream cones. Write a function, R(n), to represent the revenue from the sale of n ice cream cones during the week. R(n) = 3. Write a function, P(n), that represents the profits for selling n ice cream cones in a given week. P(n): 1. What is the minimum number of ice cream cones you must sell in order to not lose money? This number is called the break even point. Write your answer as a whole number. ice cream cones 2. Complete the following sentence to explain the meaning of #1: In order to not loco monov Loood to coll at least ice cream. Question 14 0/6 pts 499 Details You decide to begin selling glow sticks at the local park. Your cost for each glow stick is $1.31 plus you have to pay a fixed weekly fee of $250 for the booth. Your plan is to sell each glow stick for $2.89. a. Write a function, C(n), to represent your total costs for the week if you sell n glow sticks. C(n) = b. Write a function, R(n), to represent the revenue from the sale of n glow sticks during the week. R(n) = c. Write a function, P(n), that represents the profits for selling n glow sticks in a given week. P(n) = d. How many items must you sell to break even? glow sticks Question Help: Video Message instructor Submit Question d. How many items must you sell to break even? glow sticks Question Help: Video Message instructor Submit Question Question 15 0/6 pts 499 Details A Connecticut Community College is opening a five credit hour section of Business Pre-Calculus for the spring semester. An instructor and room for the semester costs $10,600. Additionally it costs $38.00 per student per semester after the matching money from the state is considered. The college charges $72 per credit hour. Being a non-profit they just need to break even on each class. What is the minimum number of students they need to let the section run? Minimum Number of Students= Round your answer UP to the nearest whole number. Hint: Check your answer for reasonability. How many students can a classroom accommodate? What is the minimum number of students you have ever seen in a class? Question Help: Message instructor Submit Question Solve this system of equations == -11 14 3x - y 3x+4y = I y Question 4 Solve this system of equations -2x+3y = 13 3x = -15 0/6 pts 499 Details x = y = Question Help: Video Message instructor Submit Question Question 5 0/6 pts 499 Details Solve this system of equations. Give your solution as an ordered pair, using integers or reduced fractions for the coordinates. x+4y = 11 4x+2y = 16 Question Help: Video Message instructor Submit Question Question 6 Solve this system of equations 2x 3y = 9 -4x-3y = -9 Question Help: Video Message instructor Submit Question 0/6 pts 499 Details 0/6 pts 499 Details Question 9 Find the market equilibrium point for the following demand and supply equations. Demand: p = -3q+510 Supply: p 9q 1374 = The market equilibrium point is Question Help: Message instructor Submit Question 0/6 pts 499 Details Question 10 Find the market equilibrium point for the following demand and supply equations. Demand: 3pq+78 - Supply: 2p q = 17 The market equilibrium point is Question Help: Message instructor Question 11 0/6 pts 499 Details A certain retailers will buy 22 cordless phones from a supplier if the price is $48 each but only 24 if the price is $36. The supplier will furnish 62 phones at $57.75 each and 39 at $40.5 each. Assume the supply and demand functions are linear, find the supply and demand functions and the market equilibrium point. Demand: p = Supply: p = Market Equilibrium point: Question Help: Message instructor Submit Question Question 12 0/6 pts 499 Details You just joined the local arboretum for a flat fee of $72. They charge an extra $32 for each special event. The nearby garden conservatory charges a flat fee of $74 plus and extra $28 for each special event. After how many special events will the cost be the same? Your job is to setup two equations to answer this question (we will not solve this system right now). Use y as the total cost and a as the number of special events. Write your two equations below. Your 1st equation: Your 2nd equation: Question Help: Video Message instructor Submit All Parts Question 13 0/6 pts 499 Details Cost, Revenue, and Profit You decide to begin selling ice cream cones at the local fair. Your cost for each ice cream cone is $0.79 plus you have to pay a fee of $120 each week for the booth. Your plan is to sell each ice cream cone for $2.89. Note that in business, costs are any money you pay out. Revenue is any money you receive through sales. Profit is total revenues minus total costs. 1. Write a function, C(n), to represent your total costs for the week if you sell n ice cream cones. C(n) = 2. Revenue is the amount of money you earn from selling ice cream cones. Write a function, R(n), to represent the revenue from the sale of n ice cream cones during the week. R(n) = 3. Write a function, P(n), that represents the profits for selling n ice cream cones in a given week. P(n): 1. What is the minimum number of ice cream cones you must sell in order to not lose money? This number is called the break even point. Write your answer as a whole number. ice cream cones 2. Complete the following sentence to explain the meaning of #1: In order to not loco monov Loood to coll at least ice cream. Question 14 0/6 pts 499 Details You decide to begin selling glow sticks at the local park. Your cost for each glow stick is $1.31 plus you have to pay a fixed weekly fee of $250 for the booth. Your plan is to sell each glow stick for $2.89. a. Write a function, C(n), to represent your total costs for the week if you sell n glow sticks. C(n) = b. Write a function, R(n), to represent the revenue from the sale of n glow sticks during the week. R(n) = c. Write a function, P(n), that represents the profits for selling n glow sticks in a given week. P(n) = d. How many items must you sell to break even? glow sticks Question Help: Video Message instructor Submit Question d. How many items must you sell to break even? glow sticks Question Help: Video Message instructor Submit Question Question 15 0/6 pts 499 Details A Connecticut Community College is opening a five credit hour section of Business Pre-Calculus for the spring semester. An instructor and room for the semester costs $10,600. Additionally it costs $38.00 per student per semester after the matching money from the state is considered. The college charges $72 per credit hour. Being a non-profit they just need to break even on each class. What is the minimum number of students they need to let the section run? Minimum Number of Students= Round your answer UP to the nearest whole number. Hint: Check your answer for reasonability. How many students can a classroom accommodate? What is the minimum number of students you have ever seen in a class? 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