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Question 1127215: A furniture factory manufactures two types of coffee table, A and B. Each coffee table goes through two distinct costing stages, assembly and finishing. The maximum capacity for assembly is 195 hours and for finishing, 165 hours. Each A table requires 4 hours assembly and 3 hours finishing, while a B table requires 1 hour for assembly and 2 hours for finishing. Calculate the number of A and B tables to be produced to ensure that the maximum capacity available is utilised
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Question 1127283: The width of a rectangular box is 4
times its height, and its length is 3ft
more than its height. The volume of the box is 49ft^3
. Use the ALEKS graphing calculator to find the height of the box. Round your answer to two decimal places.

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Question 1127284: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -2, 2-i
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Question 1127284: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. -2, 2-i
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Question 1127211: An invoice clerk receives a bill $37.50 for ten blank ledger books and three special filing trays .on phoning the supplier ( after discovering the order had been written incorrectly), the clerk agrees to return three of the ledger books in return for the supplier sending an extra filing tray . Given that there willl be extra $2.50 to pay and that there is 10% discount for orders of 10 ledger books or more ;
a. Derive a linear equation in x and y to represent the components of the original revised invoices, where x is the price of a single ledger book and y is the price of a filling tray.
b. Solve the two equation simultaneously for x and y

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Question 1127231: A)Write a formula that expresses the radius of a circle in cm, r, in terms of the circumference of the circle in inches, C.
B)Write a formula that expresses the area of the circle in cm2, A, in terms of the radius of the circle in cm, r.
C)Write a formula that expresses the area of the circle in cm2, A, in terms of the circumference of the circle in inches, C.
D)Suppose the function f determines the area of the circle in cm2 given the circumference of the circle in inches, C. Write a function formula for f.

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Question 1127288: You were told that the amount of time lapsed between consecutive trades on a foreign stock exchange market followed a normal distribution with a mean of 15 seconds. You were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. The probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. What is the probability that the time lapsed between two consecutive trades will be between 15 and 16 seconds?
Answer is 30% but not sure how to get it

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Question 1127326: the sum of the ages of Lois and Leonard is 29years. Lois is 3 years than Leonard.
how old are they?

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Question 1127325: The sum of two numbers is 29. their difference is 17. find the two numbers.
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Question 1127327: The cost (C) of making n articles is given by the formula C = p+qn where p and q are constants. the cost of making 7 articles is 29 cedis and the cost of making 5 articles is 21cedis
i. Write down two equations in p and q
ii. solve these equations to find the values of p and q

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Question 1127328: Given that 8 bolts and 6 nuts weigh 138 grams and 3 bolts and 5 nuts weigh 71 grams, find the weight of one bolts and the one nut.
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Question 1127329: The cost of the packet of sugar is x cedis and the cost a tin of milk is y cedis. If 3 packets of sugar and 4 tins of milk cost 635 cedis and 4 packets of sugar and 3 tins of milk cost 695 cedis, write down an equations connecting x and y and hence find x and y
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Question 1127364: Suppose f(x)=(x-5)2 and g(x)=√x+7. Evaluate the following expressions.
A)f(g(5))
B)g(f(−13))

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Question 1127393: Jay and his friends have set up a baseball tournament. He can rent a baseball field for a daily charge of $200 and equipment for $150 per day. If he hires independent umpires, he would need to pay $280 for the day. He would arrange to have caps made for each player at a cost of $4 each. If John can get 90 people to participate, what would they have to charge each of them to recover his costs?
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Question 1127370: A circle has an initial radius of 25 cm when all of a sudden the radius begins shrinking at a constant rate of 3 cm per second.
A)Write a formula that expresses the radius of the circle in cm, r, in terms of the number of seconds t since the circle started shrinking.
B)Write a formula that expresses the area of the circle in cm2, A, in terms of the radius of the circle in cm, r.
C)Write a formula that expresses the area of the circle in cm2, A, in terms of the number of seconds t since the circle started shrinking.
D)Define a function f that determines the area of the circle in cm2 given the number of seconds t since the circle started shrinking
E)Repeat part (c), but assume that the radius of the circle is shrinking at a constant rate of 8 cm per second.

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Question 1127414: After a careful demographic analysis, a university forecasts that student enrollments will drop by 3% per year for the the next 12 years. If the university currently has 14000 students, how many students will it have 12 years from now?
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Question 1127425: A vehicle accessory shop is considering buying a new style of wheels for $168 and selling them at $369.60 for each wheel.Fixed cost related to this new style of wheels amount of $2465.It is estimated that 16 wheels per month could be solved.How much profit will the accessory shop make each month.
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Question 1127443: At Town Lighting, a light fixture is sold at a price of $382.20, including a markup of 40% of cost.
(a) What is the cost of the item?
(b) What is the rate of markup based on the selling price?

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Question 1127566: Pinky has half as much money as Richie. If Richie gives Pinky 5 pesos, pinky will have 5 pesos less than Richie has then. How much money did Pinky and Richie have together originally?
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Question 1127567: How much salt must be added to 800g of a solution that is 15% to obtain a solution that is 20% salt?
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Question 1127583: This is all retirement questions
1. In the short term, which investment carries the most risk?

A. Stock in a small company

B. Stock in a large company

C. Government bond
2. When saving money for retirement, which of the following should you do with your funds?

A. Collect them in a shoe box

B. Deposit them in a checking account

C. Invest them in a variety of securities
3. Suppose Ray started saving for retirement at age 33 with plans to retire at age 68. He invested an average of $1,000 a month, with an average annual return of 5% adjusted for inflation. Assuming monthly compounding, estimate Ray's savings at the start of retirement using the future value formula: FVOA = C + (1+i)^(nt)-1)/i
A. $607,547.80
B. $1,005,398.63

C. $1,136,092.43
4. Which of the following is the name of the federally managed pension system in the United States?

A. FICA

B. Individual Retirement Account

C. Social Security
5. Which investment vehicle usually has the highest rate of return?

A. Stock in a small company

B. Stock in a large company

C. Government bond
6. When setting goals for retirement, which of the following should be considered?

A. Activities during retirement

B. Age at start of retirement

D. All of the above
7. Which of the following groups of people best describes who funds the Social Security retirement benefits of today's retirees?

A. Today's workers

B. Today's retirees

C. U.S. government
8. When should people start thinking about retirement plans?

A. As soon as possible

B. By age 30

C. By age 50
9. Suppose Ray didn't start saving for retirement until age 43. With all other factors being the same ($1,000 annual deposit with an average annual return of 5% adjusted for inflation and compounded monthly until retiring at age 68), which of the following is the new estimate of his funds upon retirement?

A. $155,282.28

B. $595,509.71

C. $980,810.15
10.Which breakdown of investments for retirement savings would a financial advisor most likely suggest for someone who is 30 years old?

A. 0% high-risk; 20% medium-risk; 80% low-risk

B. 20% high-risk; 10% medium-risk; 70% low-risk

D. 45% high-risk; 35% medium-risk; 20% low-risk
If you can help please, I would greatly be pleased with it.

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Question 1127570: A clothing manufacturer has some pure silk thread and some thread that is 85% silk. How many kilograms of each must be woven together to make kg of cloth that is 96 % of silk?
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Question 1127615: .The outdoor shop buys tents for $264 less 25% for buying more than 20 tents. The store operates on a markup of 33 1/3 % of the sale price and advertises at all merchandise is sold at a discount of 20% of the regular selling price. What is the regular selling price of the tents?
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Question 1127623: What can be the last digit of the fourth power of a natural number
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Question 1127600: (27X^3n + 8Y^3n)/(3X^n +2Y^n)
Solve this exponential question

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Question 1127645: Use the compound interest formula P = A(1 + i)^n, where A is the original value of an investment, i is the interest rate per compounding period, n is the total number of compounding periods, and P is the value of the investment after n periods.
A financial advisor recommends that a client deposit $2600 into a fund that earns 7.5% annual interest compounded monthly. What will be the value of the investment after 3 years? Round to the nearest cent.

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Question 1127646: Use the exponential decay equation given below, where A is the amount of a radioactive material present after time t, k is the half-life of the radioactive material, and A0 is the original amount of radioactive substance.
A=A0(1/2)^t/k
Iodine-131 is an isotope that is used to study the functioning of the thyroid gland. This isotope has a half-life of approximately 8 days. A patient is given an injection that contains 8 micrograms of iodine-131. (Round your answers to one decimal place.)
(a) What will be the amount of iodine in the patient after 11 days?
(b) How long (in days) will it take for the amount of iodine in the patient to reach 5 micrograms?

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Question 1127654: A projectile is fired at 861 mi/hr. How fast is that in meters per second? Use the conversion factor 1 mile = 1610 m.
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Question 1127654: A projectile is fired at 861 mi/hr. How fast is that in meters per second? Use the conversion factor 1 mile = 1610 m.
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Question 1127676: In the year 1989, a house was valued at $100,000.00. By the year 2001, the value had appreciated to $170,000.00
a) what was the annual growth rate between 1989 and 2001?
b) Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2013?

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Question 1127614: Aldo shoes bought a shipment of 200 pairs of women s shoes for $42 per pair. The store sold 120 pairs at the regular selling price of $125 per pair, 60 pairs at a clearance sale at a discount of 40% and the remaining pairs during an inventory sale at price that equals cost plus overead. The sores overhead is 50% of cost.
a. what was the price at which the shoes were sold during the clearance sale?
b. what was the selling price during the inventory sale?
c. what was the total profit realized on the shipment?
d. What was the average rate of markup based on cost that was realized on the shipment.

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Question 1127717: Laura wants to hire a lawyer to file deeds for some properties she owns. The graph illustrates costs for her two choices of lawyers. Using the points on the graph, construct a table of results and two equations. Which lawyer is a better choice for her if she has 8 deeds? Which lawyer is a better choice if she has 2 deeds? Why? Over the long run, which lawyer is more cost-effective
Click here to see answer by ikleyn(52781) About Me 

Question 1127718: The sum of the ages of Lois and Leonard is 29years. Lois is 3 years older than Leonard. How old are they?
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Question 1127730: the area of the rectangular field is 321 5/8 cm square. If its length is 20 3/4 cm, find its breadth.
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Question 1127729: a company can repair 11/5 km of road in a day. How many days will it take to repair a road of 123/5 km?
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Question 1127731: the area of the rectangular field is 321 5/8 cm square. If its length is 20 3/4 cm, find its breadth.
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Question 1127732: the area of the rectangular field is 321 5/8 cm square. If its length is 20 3/4 cm, find its breadth.
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Question 1127742: calculate the simple interest on N14600 from 6th march 2012 to 19th may 2012(inclusive) at 7% p.a
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Question 1127741: calculate the simple interest on N146000 from 6th march 2012 to 19th may 2012(inlcusive) at 7% p.a
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Question 1127724: Laura wants to hire a lawyer to file deeds for some properties she owns. The graph illustrates costs for her two choices of lawyers. Using the points on the graph, construct a table of results and two equations. Which lawyer is a better choice for her if she has 8 deeds? Which lawyer is a better choice if she has 2 deeds? Why? Over the long run, which lawyer is more cost-effective?..

Graph line for lawyer A- (0,75) (2,100) (4,125) (6,150)
Graph line for lawyer B- (0,90) (2,110) (4,130) (6,150)

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Question 1127788: What are the possible outcomes for a roll of two “funny dice” that have faces with the number 1,1,3,5,6, and 7?
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Question 1127866: Michelle has a drawer filled with 10 white socks and 15 brown socks. She selects one sock at random from the drawer and puts it back. She then selects another sock at random from the drawer. What is the probability that both socks are white?
Thank you,
Jessica

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Question 1127865: A sum of Rs. 24 is to be divided between Ayesha and Ali such that Ayesha will receive
twice as much as Ali. How much money will Ali receive?

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Question 1127831: calculate the simple interest on N146000 from 6 march 2012 to 19 may 2012(inlcusive) at 7% per annum
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Question 1127760: ***Corrected from previous request ***
In need of assistance please, as I am completely lost.
I was hoping to receive help understanding the following question:
A regression was run to determine whether there is a relationship between hours of TV watched per day(x)and number of sit-ups a person can do (y). The results of the regression are given below. Use this to predict the number of sit-ups a person who watches 11 hours of TV can do.
y=ax+b
a=-1.341
b=32.234
r=-0.896
What is really throwing me off is where "r" comes into play.
I am not simply seeking an answer, instead I am asking for your knowledge on how to understand this type of equation, and how to solve something such as this.
Thank you for your time!

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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, 16516..16560