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Question 292674: Michelle was working as a clerk in a clothing store. She made a mistake and charged the wrong sales tax. She should have charged 5%, but she charged 6%. The total amount of money she collected for the day, including sales tax, was $620.10. How much money would she have collected if she charged the correct sales tax?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 293048: Please help! Thank u!
*Three individuals form a partnership and agree to divide the profits equally. X invests $9,000, Y invests $7,000, Z invests $4,000. If the profits are $4,800, how much less does x receive compared to having the profits divided in proportion to the amounts invested by X, Y, and Z?

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Question 293027: Use the formula P = 2L + 2W to find the length L of a rectangular lot if the width W is 40 feet and the perimeter P is 250 feet.
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Question 293124: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
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Question 293119: Five times the difference of twice a number and eleven is negative fifteen. Find the number.
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Question 293350: I am having difficulty factoring (x^16 - 1). The following is my attempt, will someone please help me with this? My previous post was incorrect regarding initial problem, sorry for any possible confusion. Thanks,
x16 – 1
(x4)4 – 1
(x4 – 1)(x4 + 1)
(x2 – 1)(x4 + 1)(x4 – 1)
(x2 – 1)(x2 + 1)(x4 – 1)
(x+1)(x-1)(x2 + 1)(x4 + 1)

Click here to see answer by Earlsdon(6294) About Me 

Question 293349: I am having difficulty factoring (x^4 - 1). The following is my attempt, will someone please help me with this? Thanks,
x16 – 1
(x4)4 – 1
(x4 – 1)(x4 + 1)
(x2 – 1)(x4 + 1)(x4 – 1)
(x2 – 1)(x2 + 1)(x4 – 1)
(x+1)(x-1)(x2 + 1)(x4 + 1)

Click here to see answer by helpnalgebra(91) About Me 
Question 293349: I am having difficulty factoring (x^4 - 1). The following is my attempt, will someone please help me with this? Thanks,
x16 – 1
(x4)4 – 1
(x4 – 1)(x4 + 1)
(x2 – 1)(x4 + 1)(x4 – 1)
(x2 – 1)(x2 + 1)(x4 – 1)
(x+1)(x-1)(x2 + 1)(x4 + 1)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 293345: find the exact interst. use 365 days in a year, and use the exact number of days in a month. round to the nearest cent.
7940 at 14 1/2 percent for 66 days

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Question 293835: A man walks a certain distance at a certain speed. Had he walked 1/2 km / hr faster, he would have taken one hour less. But if he had walked 1 km /hour slower, he would have taken 3 hours longer. the distance travelled by him is ?
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Question 294005: you drive along the hughway at a constant speed of 66 miles per hour. how far do you travel in 3.7 hours?
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Question 294117: a 63 feet wire was cut into three pieces. the second piece is five times as long as the first piece. the thired piece is three times as long as the second piece. how long is the first piece?
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Question 294478: The capacity of an automobile cooling system is 16 quarts. If it is full of a 15% antifreeze solution,how many quarts must be replaced by a 90% solution to give 16 quarts of a 65% solution
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Question 294472: Brine is a solution of salt water. If a tub contains 50 pounds of a 5% solution of brine, how much water must evaporate to change it to an 8% solution?
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Question 294690: Find three consecutive odd numbers such that four times the first number decreased by 28 is the same as the sum of the last two numbers.
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Question 294678: I have six more than four times as many sandwiches as you? I have never had algebra was wonder what this answer is
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Question 294679: So if I have a $1000 expense and my Houston, Texas office should pay for 35% of it, what is the algebraic translation?

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Question 294619: The speed of the current in a river is 2 mph. Jay travels 20 miles upstream and 2o miles downstream in 5 1/3 hours. What is the speed of the boat?
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Question 294586: One number is four more than twice the second number. Their total is 25. What are the two numbers
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Question 294748: In circle C, m = 25°, m = 40°, m = 25 ° and WY = 24 centimeters. What is the length of XZ
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Question 294878: Twice a certain number decrease by 3 is 37 what is a number
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Question 294957: The ratio of the weights of two spherical steel balls is 8:27. What is the ratio of the diameters of the two steel balls?
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Question 295095: Jerry's shirt is made of 60% cotton and 40% polyester. What is the ratio of polyester to cotton.
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Question 295208: tRYING TO FIGURE THESE PROBLEMS OUT FOR SCHOOL ANY HELP WOULD BE APPRECIATED

JOHN

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Question 295276: (Cash budget) The Sharpe Corporation’s projected sales for the first eight months of 2004 are as follows:
January $ 90,000 May $300,000
February 120,000 June 270,000
March 135,000 July 225,000
April 240,000 August 150,000
Of Sharpe’s sales, 10 percent is for cash, another 60 percent is collected in the month following sale, and 30 percent is collected in the second month following sale.
November and December sales for 2003 were $220,000 and $175,000, respectively. Sharpe purchases its raw materials two months in advance of its sales equal to 60 percent of their final sales price. The supplier is paid one month after it makes delivery. For example, purchases
for April sales are made in February and payment is made in March.
In addition, Sharpe pays $10,000 per month for rent and $20,000 each month for other expenditures.
Tax prepayments of $22,500 are made each quarter, beginning in March.
The company’s cash balance at December 31, 2003, was $22,000; a minimum balance of $15,000 must be maintained at all times. Assume that any short-term financing needed to maintain the cash balance is paid off in the month following the month of financing if sufficient funds are available.
Interest on short-term loans (12 percent) is paid monthly. Borrowing to meet estimated monthly cash needs takes place at the beginning of the month. Thus, if in the month of April the firm expects to have a need for an additional $60,500, these funds would be borrowed at the beginning of April with interest of $605 (.12 × 1/12 × $60,500) owed for April and paid at the beginning of May.
a. Prepare a cash budget for Sharpe covering the first seven months of 2004.

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Question 295322: A mixture of 8% disinfectant solution is to be made from 10% and 7% disinfectant solutions. How much of each solution should be used if gallons of 8% solution are needed?
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Question 295310: What 5 consecutive odd integers is -5275?
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Question 295460: Hi I am just learning algebra and having hard trying to translate these into algebraic symbols. These are a little more difficult than what I am used to working with. Can you please assist me with these two.
Eight less than π times a number equals the number’s reciprocal
The quotient of a number and ten is greater than the sum of that number and thirteen
Thx
Lauren

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Question 295468: I have one more that I don't get at all either. thx lauren
Solving for the specified variable
PV = nRT; T

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Question 295465: I don't understand this problem at all, can I please get some help. txk Lauren
Solving for the specified variable
x = vt -1/2at^2; t

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Question 295564: Two cars leave the airport at the same time and travel in opposite directions. If one car travels at 35 mph and the other at 25 mph,how long will it take for them to be 300 miles apart?
Click here to see answer by mananth(16946) About Me 

Question 295562: The length of the rectangular garden is 5 meters longer than its width. The area of the garden is 50 square meters. Find the length and with of the garden.
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Question 295827: Math obviously is not my strong point especially when it comes to compound interest.
If I invest $1000 on May 18th in a savings account that pays 10% interest compounded every month, and I invest $1000 (on the same day) in an account which pays 10% interest that is compounded continuously:
(a) Which will be worth more in one year?

(b) By how much?

Eric

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Question 296041: a postal clerk sold 75 stamps for $4.80. Some were 5-cent and some were 8-cent stamps. How many of each kind did he sell?
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Question 296072: 1. The sum of two numbers is 24. The second number is 3 times the first number.

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Question 296075: I am having difficulties simplifying this problem:
2 sqrt(x) + 3(x+1)^2 - sqrt(4x) + x^2

Jen

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Question 296077: Ok, I found one more that I need help rationalizing. Thanks for your help.
sqrt (x) / 14- sqrt (x)
Jen

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Question 296092: Ok, one last one that I need help on. I get really stuck and frustrated on word problems and this one is overwhelming me. thxs Lauren
A new farm pond was stocked with 2500 crappies in 2003. The crappie population in 2006 was found to be 4320.
a) Let t be the number of years after 2003 (in other words t = 0 corresponds to 2003). Write down the initial crappie population at t = 3.
b) Find the growth function of the form f(t) = y0 bt that gives the crappie population t years after 2003. The function you have found models _________________________.
c) Predict the crappie population in 2010.
d) In what year will the crappie population reach 13,000? Give the exact value for t and then use your calculator to approximate t to get the year.
e) Are your answers for (c) and (d) consistent with the given population data in your answer to (b)?

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Question 296088: I am confused on how to solve this problem as it is squaring and them cubing. thxs lauren
Find the values of the following expression for x = 1/2 , y = -1 and z = 2:
(xyz^2)^3 / xyz


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Question 296097: I worked these two problema and wanted someone to check to see if I have the right answer for simplifying these equations.
(1-2)^3 + (-3)^2 / (2+10/2) -5 For this I got and answer of -10
10 + sqrt(16-9) / (4/2)^3 For this I got 1.5807
Do these seem correct?
Holly

Click here to see answer by stanbon(75887) About Me 
Question 296097: I worked these two problema and wanted someone to check to see if I have the right answer for simplifying these equations.
(1-2)^3 + (-3)^2 / (2+10/2) -5 For this I got and answer of -10
10 + sqrt(16-9) / (4/2)^3 For this I got 1.5807
Do these seem correct?
Holly

Click here to see answer by rfer(16322) About Me 

Question 296103: Hi I was wondering if someone can check to make sure I got the right answers on these two for inequalities
x - (-4)^3x + 1 > 12 I got x >5.909
4 - 3x < 6 - x I got x <0
Are these correct? Any help would be appricated.
Holly

Click here to see answer by Alan3354(69443) About Me 

Question 296106: Ok one last one that I would like someone to see if I have the correct answer. Also I have to graph this and not sure how to do that part.
Parallel to 6x - 4y + 12 =0, and passing through the line x = 3
I got y =7.5 when you put 3 in for x
Thanks,
Holly

Click here to see answer by Alan3354(69443) About Me 

Question 296076: I am also needing help rationalizing this problem, these are tricky for me.
14 – sqrt (x) / sqrt (x)

jen

Click here to see answer by Alan3354(69443) About Me 

Question 296108: I was wanting to know if I could get some assistance on solving the variable:
2(y-1)^2 = 4(y+1)^2
joe

Click here to see answer by Alan3354(69443) About Me 

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