Questions on Algebra: Linear Algebra (NOT Linear Equations) answered by real tutors!

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Question 241173: the annual social security benefit of a retiree depends on the age at the time of retirement. the accompanying graph gives the annual benefit for persons retiring at ages 62 through 70 in the year 2005 or later. What is the annual benefit for a person who retires at age 64? at what retirement age does a person recieve an annual benefit of $11,600? find the slope of each line segment on the graph and interpret your results.Why do people who postpone retirement until 70 years of age get get the highest benefit?
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Question 241076: 3x-y+2z=-7
x+2y+3z=0
-2x+y-3z=-1
Click here to see answer by Edwin McCravy(2920)

Question 240527: caramels costing 1.75 per pound are mixed with cream chicolate costing 2 per pound to make a 5 pound mnixture that will be sold at 1.90 per pound..how many pounds of each are needed?
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Question 240507: how to solve inequalities?
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Question 240187: A company designs and sells two types of rings: the VIP and the SST. The company can produce up to 24 rings each day using up to 60 total hours of labor. It takes 3 hours to make one VIP ring, and 2 hours to make one SST ring. How many of each type of ring should be made daily in order to maximize profit, if profit on a VIP ring is $30 and profit on an SST ring is $40? What is the profit?
So far I have come up with this not sure if its correct?
x=# of rings to VIP
y=# of rings to SST
3x+2y< or equal to 60
x+y< or equal to 2

Click here to see answer by stanbon(26255)

Question 239703: When 0.5 cm was planed off each of the six faces of a wooden cube, its volume decreased by 169 cm^3. Find its new volume.
Click here to see answer by Alan3354(6059)

Question 239585: h(x)=23
and i have to state whether the equation or function is linear and if no i have to explain
but i have no clue how to figure out if a equation is linear i can tell if it is graphed and etc.
please help me!!!!!
Click here to see answer by Alan3354(6059)

Question 238271: Planning a fundraiser your club plans to raise money by selling two sizes of fruit baskets. The plan is to buy small baskets for $10, and sell them for $16 and to buy large baskets for $15 and sell them for $25. The club president estimates that you will not sell more than 100 baskets. Your club can afford to spend up to 1200 dollars to buy the baskets. Find the number of small and large fruit baskets you should buy in order to maximize profit. Let x be small baskets and y be large.
Objective function: P= _x+_y
Constraints: (really need help with)
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Question 238098: The length of Jim's leader is always 2 feet shorter than the length of his fishing rod. If the product of the length of the leader and the length of the rod equals the strength of his line in pounds and he uses a 16-lb line, what is the length of his leader?

Click here to see answer by Stitch(43)

Question 238099: Kay wants a rectangular area in the greenhouse reserved for African Violets. She says the width of the area must be one foot less than the length. She also tells me the area must be at least 12 square feet. What widths would satisfy Kay's requirements?
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Question 238100: Help, how and what does this mean mean?
f(x) = 8 + x
g(x) = x - 5
If d(x) = f(x) - g(x), find d(x)

Click here to see answer by Stitch(43)

Question 237908: Write a linear system as a model of the following situation, then solve.
Your school's star basketball player was excited about his play during the last game. He remembered that he scored 3-point shots, but couldn't recall how many free throws (worth 1 point each) and field goals (worth 2 points each) he scored. The scorekeeper said he had scored 20 times for 34 points.
How many field goals did he make? How many free throws did he make?
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Question 237373: I need to find the possible values of a, if the distance between the points is 5, and the coordinates are (1,1) and (4,a).
Click here to see answer by College Student(203)

Question 237055: If i'm given y=x^2+x-12, How do I write this function into a vertex form?
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Question 236963: What is the point slope form with the table (X) 3,5, 7, 9 (Y)-6,2,10,18

Click here to see answer by Edwin McCravy(2920)

Question 236963: What is the point slope form with the table (X) 3,5, 7, 9 (Y)-6,2,10,18

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Question 236963: What is the point slope form with the table (X) 3,5, 7, 9 (Y)-6,2,10,18

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Question 236771: One day the temperature drop from 2 degrees to -17 degrees. How many degrees did it drop.
Click here to see answer by nyc_function(260)

Question 236560: To produce a 16% alcohol solution, a chemist mixes a 20% alcohol solution and a 14% alcohol solution. How much 20% solution and how much 14% solution must be used to product 15 L of a 16% alcohol solution?
Would really appreciate any help. I am studying for an exam tomorrow. Thanks.
Click here to see answer by checkley77(7035)

Question 236240: y=-3x-2
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Question 236000: linear Systems-Mixed Methods
4x+y=3.4
x=4y
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Question 235805: solve -6+4y-8
Click here to see answer by rfer(2683)

Question 234341: You save money from a job. You invest some of it in a cd account that yields 8% interest yearly and the rest in a bond that yields 6% interest yearly
C=the amount of money invested in the cd and B=the amount invested on the bond. You earn $84 interest in a year
Write an equation relating C,B and the amount of money earned
Click here to see answer by checkley77(7035)

Question 234205: A motorboat can go 14 miles downstream on a river in 20 minutes. It takes 30 minutes for this boat to go back upstream the same 14 miles. Find the speed of the current.
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Question 233920: what is 2x+4=4x-6
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Question 233625: Hello, i am having trouble figuring out how to solve for (h) in the problem A=1/2h(a+b)!!! Thanks

Click here to see answer by stanbon(26255)

Question 233554: y= x2 + 4x - 7
what is the :
y - intercept
x - intercept
turning point
please write down the solution as well, thanks
Click here to see answer by edjones(3291)

Question 233393: Using long division of polynomials can you please solve this equation, and also explain the process(11x^4-12x^3+15x^2+13x+14)/ x^2-6. Thanks
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Question 232262: the computer club invested $2200, part at 4.5% interest and the rest at 7%. the total annual interest earned was $144. how much was invested at each rate?
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Question 232149: can somebody help me on four questions please
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Question 231939: Solve by substitution.

x-y=6
x=y+2

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Question 231844: Find the slope (-5,-18)(-9,-19)
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Question 230443: one number is 10 times larger as another, and their difference is 81. find the numbers.
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Question 230349: C=5/9(F-32)for F. Solve the formula for the given variable
Click here to see answer by rfer(2683)

Question 230248: My question is calculating D=sqrt(2h). D representing how many miles a person can see the horizon from a height, h in feet. Find the corresponding distance you should be able to see the horizon. Include height and the calculations.
D=sqrt (2h)
D= sqrt2(800)
[D=sqrt1600]^2
D=40 miles a person can see the horizon.
I was just wondering if I did this correctly? Thank you
Click here to see answer by solver91311(5072)

Question 230253: Just wondering if I did this problem right? Thank you for checking.
The city mileage is 17 mpg and the highway is 26 mpg (“kbb“, 2009). Taking this in mind, we are going to find out how many miles we can go with 50 gallons of gas, where x equals the number of miles driven.
17=x/50
17*50=x
x=850 city miles on a tank of gas equaling 50 gallons.
Check: 850÷50=17
26=x/50
26*50=x
x=1300 highway miles on a tank of gas equaling 50 gallons.
Check: 1300÷50=26
Click here to see answer by solver91311(5072)

Question 230022: what is the question find f(x) + g(x)and f(x) - g(x). Simplfy your answer asking you to do ?
Click here to see answer by stanbon(26255)

Question 229422: In my year 5 class of 30 children some students play tennis, some play basketball, some play both sports and some do not play either sports. How many students play both sports if 18 play tennis, 15 play basketball and 4 do not play either sport?
Click here to see answer by edjones(3291)

Question 228940: how do i do this x-14=-y
x- y= 2
Click here to see answer by stanbon(26255)

Question 228736: What is 2x-y+z=14
-x+2y-4z=5
x+4y-6z=-1
This is solve the system using the elimination method get the x,y, and z please help this is hard.
Click here to see answer by ankor@dixie-net.com(6691)

Question 228718: x-intercept= 1/3,y intercept= 1/4
slope= -3/4
Click here to see answer by user_dude2008(715)

Question 227928: Suppose the length of a rectanle is 3cm longer than twice the width and that the peimeter is 90cm. Setup an equation for the perimeter involving only W the width. solve this equation algebraically to find length and find the width as well?
Click here to see answer by checkley77(7035)

Question 227588: Using the formula A=LP/2-L^2 the question is how do you determine what numbers to choose for two different problems when trying to fence 600 feet?
Click here to see answer by rapaljer(3610)

Question 227586: 9x-y, for x=10 and y=3
9x-y=? when x=10 and y=3
Click here to see answer by Alan3354(6059)

Question 227117: Solve algebraically.
x-3y-3z=0
2x+5y-5z=1
-x+5y-6z=-9
I got z=1 x=3 and y=0. But I'm not sure if this is correct. Can someone please check?
Click here to see answer by Theo(667)

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