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Question 1120754: The table lists the average annual cost of tuition and fees at private 4-year colleges for selected years.
Year Tuition and Fees (in dollars)
1994 11,719
1996 13,994
1998 17,709
2000 16,233
2002 21,116
2004 24,101
2006 32,218
2. Determine a linear function that models the data, where 0 x= represents 1994, and 1 x= represents 1995, and so on. Use the points ( ) 0,11719 and( ) 12,32218 . Choose two more combinations of points and use them to create two additional linear functions that model the data. Record the three linear functions below.
Function 1:
Function 2:
Function 3:
Click here to see answer by greenestamps(13200)

Question 1120755: The table lists the average annual cost of tuition and fees at private 4-year colleges for selected years.
Year Tuition and Fees (in dollars)
1994 11,719
1996 13,994
1998 17,709
2000 16,233
2002 21,116
2004 24,101
2006 32,218
3. How would you go about using these functions to predict the average annual cost of tuition and fees for a future year? Suppose you are in the marketing department for a college and you are trying to determine which function to use to encourage future students attend your college. Explore and state the messages that can be sent to prospective students by each function.
Click here to see answer by greenestamps(13200)

Question 1120807: Ashwin has 500 mL of a 60% solution of silver nitrate. How many milliliters of 30% silver nitrate solution should be added to obtain a 50% solution?
Click here to see answer by josgarithmetic(39617)

Question 1120951: state the number of solutions for the linear system of equations 27x=3y+78 3y=90-6x
Click here to see answer by Theo(13342)

Question 1120951: state the number of solutions for the linear system of equations 27x=3y+78 3y=90-6x
Click here to see answer by Alan3354(69443)

Question 1120959: A piece of coral is growing in the pacific Ocean at a rate of 3 pounds per year.
How long will it take for the coral to gain 24 ounces?

Click here to see answer by josgarithmetic(39617)

Question 1120806: Rodrigo invests $4000, part of it at 10% annual interest and the rest at 12% annual interest. If he receives $460 in interest at the end of one year, how much did he invest at each rate?
Click here to see answer by greenestamps(13200)

Question 1121141: how do I solve problems like -8 + 11b = -140

Click here to see answer by Alan3354(69443)

Question 1121141: how do I solve problems like -8 + 11b = -140

Click here to see answer by ikleyn(52786)

Question 1121330: Please help me solve this question.
Find the value(s) of the constant k such that the system of linear equations:
9x + ky = 3,
kx + y = 1
has
(i) No solution.
(ii) An infinite number of solutions.
(iii) Exactly one solution
Click here to see answer by Boreal(15235)

Question 1121327: Find the value(s) of the constant k such that the system of linear equations:
9x + ky = 3,
kx + y = 1
has
(i) No solution.
(ii) An infinite number of solutions.
(iii) Exactly one solution.

Click here to see answer by htmentor(1343)

Question 1121328: Consider the following system of linear equations:
x + 2y + 3z = 3
3x − 5y + 6z = −1
2x + 4y + 5z = 5
(i) Write the augmented matrix for the system above.
(ii) Find the inverse of the above system of linear equations.
(iii) Solve the system using the inverse matrix found in part (ii).
Click here to see answer by solver91311(24713)

Question 1121329: Consider the following system of linear equations:
x + 2y + 3z = 3
3x − 5y + 6z = −1
2x + 4y + 5z = 5
(i) Write the augmented matrix for the system above.
(ii) Find the inverse of the above system of linear equations.
(iii) Solve the system using the inverse matrix found in part (ii).
Click here to see answer by solver91311(24713)

Question 1121369: solve the following system of linear equations for x,y and z.
x-2y+3z=-11
2x-z=8
3y+z=10

Click here to see answer by MathLover1(20850)

Question 1121369: solve the following system of linear equations for x,y and z.
x-2y+3z=-11
2x-z=8
3y+z=10

Click here to see answer by solver91311(24713)

Question 1121408: The supply function of a certain product is P=50+2Q
Where P is the price and Q is the number of units produced. Find the producer surplus at market equilibrium if the market price is P=90
Click here to see answer by solver91311(24713)

Question 1121407: if the demand function of a commodity is P=70-0.5Q
Where P and Q are price and quantity respectively, determine the price elasticity of demand when the price decreases from R7 to R5. Indicate whether the demand is elastic or not.
Click here to see answer by solver91311(24713)

Question 1120789: The table lists the average annual cost of tuition and fees at private 4-year colleges for selected years.
Year Tuition and Fees (in dollars)
1994 11,719
1996 13,994
1998 17,709
2000 16,233
2002 21,116
2004 24,101
2006 32,218
1. Given any two data points with each consisting of the year and its corresponding tuition and fees, describe in detail how you would find a linear function that models the data shown in the table. Be sure to clearly define and interpret all components involved in your model.
2. Determine a linear function that models the data, where 0 x= represents 1994, and 1 x= represents 1995, and so on. Use the points ( ) 0,11719 and( ) 12,32218 . Choose two more combinations of points and use them to create two additional linear functions that model the data. Record the three linear functions below.
Function 1:
Function 2:
Function 3:
3. How would you go about using these functions to predict the average annual cost of tuition and fees for a future year? Suppose you are in the marketing department for a college and you are trying to determine which function to use to encourage future students attend your college. Explore and state the messages that can be sent to prospective students by each function.
4. Use all three functions to approximate tuition and fees in 2035. State your results below. Next, choose the function you would use to encourage prospective students and explain the reasoning behind your choice.
Function 1:
Function 2:
Function 3:
Function of choice:

Click here to see answer by Boreal(15235)

Question 1121799: Determine the x-coordinate of the solution to the system of equations:
x + 8y = - 29
- 7x + 7y = - 37
Click here to see answer by ikleyn(52786)

Question 1122186: Determine the values of k such that the system of linear equations does not have a unique solution.
x + y + kz = 4
x + ky + z = 8
kx + y + z = 3

Click here to see answer by ikleyn(52786)

Question 1122192: Use a software program or a graphing utility to solve the system of linear
equations. (Round your values to three decimal places. If there is no
solution, enter NO SOLUTION. If the system has an infinite number of
solutions, set x4 = t and solve for x1, x2, and x3 in terms of t.)
x1 − 2x2 + 5x3 − 3x4 = 23.2
x1 + 4x2 − 7x3 − 2x4 = 45.6
3x1 − 5x2 + 7x3 + 4x4 = 29.8

Click here to see answer by Edwin McCravy(20056)

Question 1122286: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
The sum of the digits of a two digit number is 14. When the digit are reversed, the resulting number is 23 less than two times the original number. What is the number?
Click here to see answer by rothauserc(4718)

Question 1122276: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS.
twice the larger of two number plus the smaller is -25. The larger minus three times the smaller is 138. find the smaller number
Click here to see answer by ankor@dixie-net.com(22740)

Question 1122285: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
A jogger runs a given distance and then catches a ride back to his home by car. if the round trip of 10 miles takes one hour, the car travels at 40 miles per hour, and he jogs at 5 miles per hour. How long did the jugger run?
Click here to see answer by josgarithmetic(39617)

Question 1122278: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
A two digit number is 6 more than the product of 7 and the sum of its digits. The number with the digits reversed is 2 more than the product of 3 and the sum of its digit. Find the number
Click here to see answer by josgarithmetic(39617)

Question 1122277: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
in 5 years, jose would be twice the age of Ana. Five years ago, jose was 4 times as old as ana. How old is Jose now?
Click here to see answer by josgarithmetic(39617)

Question 1122284: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
Engineer has decided to fence off a garden plot behind his house, using his house as the fence along one side of the garden. The length (which runs parallel to the house) is 3 feet less than twice than the width. Find the dimension if 33 feet of fencing is used along the three sides requiring it.
Click here to see answer by josgarithmetic(39617)

Question 1122282: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
if twice the length of a rectangle is increased by three times the width, the sum is 48 feet. The perimeter is 40 feet what are the dimensions of the rectangle?
Click here to see answer by greenestamps(13200)

Question 1122280: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
a swimmer going downstream takes 1 hour and 20 minutes to travel a certain distance. it takes the swimmer 4 hours to make the return trip against the current. if the river flows at the rate of 1.5 miles per hour, find the rate of the swimmer in still water and the distance traveled one way.
Click here to see answer by josgarithmetic(39617)

Question 1122281: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
the annual return on two investment totals P464. one investment gives 8% interest and the other 7.5%. how much money is invested at each rate if the total investment is P6000
Click here to see answer by ikleyn(52786)

Question 1122283: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UNKNOWNS
Jaymerson's Peanut place has two types of peanut butter. Mr.Peanut, which sells for P2 per gram and King Peanut, which sells for P7 per gram. How many grams of each type of peanut butter must Jaymerson mix to create 20 grams of sir Peanut that will sell for P4 per gram?
Click here to see answer by Theo(13342)

Question 1122350: I prefer to work by text, can you send me phone #?
Click here to see answer by josgarithmetic(39617)

Question 1122379: A child has a piggy bank that contains only quarters and dimes. All together there are 27 coins in the bank and the total value of the coins is $4.50. How many quarters and how many dimes are in the piggy bank?
Click here to see answer by Alan3354(69443)

Question 1122545: solve the linear system by Gauss�Jordan
elimination.
− 2b + 3c = 1
3a + 6b − 3c = −2
6a + 6b + 3c = 5
Click here to see answer by Alan3354(69443)

Question 1122545: solve the linear system by Gauss�Jordan
elimination.
− 2b + 3c = 1
3a + 6b − 3c = −2
6a + 6b + 3c = 5
Click here to see answer by ikleyn(52786)

Question 1122615: . x + 3y − z = a
x + y + 2z = b
2y − 3z = c
solve the following systems, where a, b,
and c are constants.
Click here to see answer by josgarithmetic(39617)

Question 1122646: Javier invests money in two simple interest accounts. He invests three times as much in an account paying 10 % as he does in an account paying 4 %. If he earns $102.00 in interest in one year from both accounts combined, how much did he invest altogether?
Total Principal in Both Accounts = $
Click here to see answer by Boreal(15235)

Question 1122904: A motorboat can travel 15 miles per hour downstream and 9 moles per hour upstream on a certain river. Find the rate of its current and the rate at which the boat can travel in still water
Click here to see answer by Boreal(15235)

Question 1122927: How do your detrmine the solution of quadratic equation?

Click here to see answer by josgarithmetic(39617)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515