Tutors Answer Your Questions about Systems-of-equations (FREE)
Question 1164543: Lewis is offered 20,000.00 as starting salary for a job, with a raise of 2,000.00 at the end of each year of outstanding performance. If he maintain continues outstanding performance, what will his salary be at the end of school year?
Click here to see answer by ikleyn(52754)   |
Question 1165272: Majjor Oil Co. Allocates its maintenance budget to three of its branch offices on the basis(i.e., proportion to) of total floor space. Branch 1 has 9,000 sq.ft., Branch 2 has 20,000 sq.ft., and Branch 3 has 15,000 sq.ft. If $880,000 is to be allocated, how much should each branch receive?
Click here to see answer by josgarithmetic(39613) |
Question 1165272: Majjor Oil Co. Allocates its maintenance budget to three of its branch offices on the basis(i.e., proportion to) of total floor space. Branch 1 has 9,000 sq.ft., Branch 2 has 20,000 sq.ft., and Branch 3 has 15,000 sq.ft. If $880,000 is to be allocated, how much should each branch receive?
Click here to see answer by ikleyn(52754) |
Question 1165271: Last year, Reliable securities established a sales achievement bonus fund of $10,000 to be distributed at the year's end among it's four-person mutual fund sales force. The distribution is to be made in the same proportion as the amounts by which each person's sales exceed the basic quota of $500,000. How much bonus will each salesperson receive from the fund if the sales figures for the year were $910,000 for Alicia; $760,000 for Bob; $460,000 for Charles; $630,000 for Diana?
Click here to see answer by ikleyn(52754) |
Question 1165269: An engineering film is owned by three partners (Alan, Barbarra and Chuck) with 4,000, 3,000 and 1,000 shares respectively. The company's net income for the year is $4,500,000 and 10% of it is a performance bonus. The bonus will be allocated in the following way:
-$70,000 to be distributed amongst all staff excluding the partners.
- Each partner will get $80,000
- The remainder is to be divided among the partners in proportion to the number of shares held.
What was the total amount of bonus received by each partner?
Click here to see answer by Seutip(231)  |
Question 1165336: 1. Will's coffee shops expect to earn a percent net margin of 14% of sales.
2. Find the expected profit and expensee of a shop that will have sales of $ 29,000 a month.
3. If a shop hopes to earn a net profit of $5,000 a month, what should be its sales target?
4. As a guide to restaurant pricing, it if often assumed that the price of a meal should be proportional to the cost of the food in the meal. Suppose that a restaurant decided to make that ratio 2.8.
That is:
Meal price/food price=2.8
Use this guide to estimate the price of meals for which the food cost is (a) $3.50;(b) $8.00;(c)$14.00.
Click here to see answer by ikleyn(52754) |
Question 1165323: Finicky-Cat Gourmet Pet Food makes organic cat food and sells them in 2 kg bags. The company has annual fixed costs of $150,000 and variable costs of $4 per bag. Finicky-Cat sells each bag for $10. Production capacity is 50,000 bags per year.
A.) Find the revenue and cost equation.
Click here to see answer by solver91311(24713)  |
Question 1165458: Mac's wholesale buys from a distributor which allows discounts of 25%, 20%, 5%.
A. What single discount ( called the single equivalent discount) would be equivalent to the above discounts?
B. Compare the above discounts to discounts of 30%, 20%.
Click here to see answer by ikleyn(52754) |
Question 1165461: CHMCO sells a product with discounts of 25%, 15% to its distributors. It plans to allow a seasonal discount to make the overall discount equal to 45%. What additional (chained) discount should CHMCO allow?
Click here to see answer by ikleyn(52754) |
Question 1165472: Three companies, Alpha, Beta, Gamma, are the only suppliers to a specialized market. Last Alpha's sales were $700,000, Beta's $1,200,000 and Gamma's $1,600,000.
A. What was the market share (percent of market) of each company? Note: retain all decimal places calculated in (a) to solve (b) and (c).
B. If next year's total market is expected to be $5,000,000 and each company's share remains the same, what would be the sales of each company?
C. Alpha has an aim of making its sales 75% of Beta's. With total sales as in (b) and Gamma's as in (b) what would have to be the sales of Alpha and Beta if Alpha were to make its aim?
Click here to see answer by Theo(13342)  |
Question 1165663: An agent is to purchase two products, G and H, and send them to the company's warehouse. He has a budget of $70,000 and truck space of 9,000 cubic meters. The product costs and sizes are as follows:
Cost per case for G is $10 while H is $20.
Volume per Case for G is 3m^3 while for H is 2m^3.
How much of each product should be purchased if both the budget and space are to be used up?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1165964: Dick, Ed and Fran formed a partnership. The partnership agreement requires
them to provide capital when and as required by the partnership in the ratio
of 7:9:8, respectively.
A. If the total required initial investment was $96,000, how much did each
contribute?
B. One year later, Dick's share of another injection of capital was $10,500.
What is the total investment made by the partnership including the initial
investment? What is Ed's share of the entire investment?
Click here to see answer by Edwin McCravy(20054)  |
Question 1165918: A company has a choice between two copiers, A and B. A costs $120 a month plus $0.05 per page; B costs $250 a month plus $ 0.03 per page.
A. Find the cost equations for each copier.
B. Which copier would be best for 5,000 pages a month? For 10,000 copies?
C. Graph the equations on the same axes and show clearly where each copier is cheapest.
D. Find the volumes at which the costs are equal and mark the point on your graph.
Click here to see answer by Theo(13342) |
Question 1165920: Jones Stereo company sells stereo sets for $150 each. The parts for each stereo cost $39.50 and the labor costs $53 per set. Fixed costs are $16,000 a month.
A. Find Jones' cost and revenue functions.
B. How many must Jones produce and sell every month in order to (I) break even? (II) make a $6,000 profit?
Click here to see answer by Boreal(15235)  |
Question 1167518: Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
The Arlington Tigers are having team shirts made. One option is to pay Justin's Tees a $35 setup fee and then buy the shirts for $10 each. Another option is to go to City Printing, paying $25 for a setup fee and an additional $12 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. How many shirts is that? What is the cost?
Click here to see answer by Theo(13342) |
Question 1167782: The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $59, balcony tickets are $49, and mezzanine tickets are $34. One particular night, sales totaled $106,306. There were 254 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 444 more than 3 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
Click here to see answer by josgarithmetic(39613) |
Question 1167782: The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $59, balcony tickets are $49, and mezzanine tickets are $34. One particular night, sales totaled $106,306. There were 254 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 444 more than 3 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
Click here to see answer by ikleyn(52754) |
Question 1169814: A circle is centered at the origin and has a radius of √5 units. A line with a slope of 2 passes
through the origin and intersects the circle in two places. Where does the line intersect the
circle?
This is the last question that Im struggling please help me
Click here to see answer by josgarithmetic(39613) |
Question 1169814: A circle is centered at the origin and has a radius of √5 units. A line with a slope of 2 passes
through the origin and intersects the circle in two places. Where does the line intersect the
circle?
This is the last question that Im struggling please help me
Click here to see answer by MathTherapy(10549)  |
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