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Question 1158083: Finite Mathematics:
A contestant draws a sequence of three cards, one question per card, and tries to answer the three questions. There are three cards with history questions, six cards with literature questions, and eight cards with science questions. Find the probability of each of the following. (Round your answers to four decimal places.)
(a) the questions are history, literature, and science, in that order
(b) all three are literature questions
(c) the first is science, the second is history, and the third is science
Click here to see answer by KMST(5377)

Question 172086: I have been working on this math problem and I cant' figure it out and I was wondering if someone could help me? Please and Thank You!! I deeply appreciate it!!
Complex fractions
Simplify.
1+1/x-1 over 1+1/x^2-1
Click here to see answer by MathTherapy(10839)

Question 1210626: Another logarithm question:
Calculate log 5601 using table.
Not in table.
Closest: 5599 = 363 5611 = 364 Difference of .001
Difference of 5601 - 5999 = 2
Difference of 5611 - 5601 = 10
Not sure how to proceed.

Click here to see answer by ikleyn(53875)

Question 918440: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 36.900 ft. give the area A of the window in square feet when the width is 7.500 ft. Give the answer to two decimal places.
I'm stuck and I need this one to finish my homework! Even my dad can't help me and I got no results from google and my math book only uses rectangular examples!!! PLEASE HELP ME!!!!
Click here to see answer by MathTherapy(10839)

Question 1007049: Mary has $3,500 in a savings account earning 4 1/2% annual interest that is compounded continuously. How much will be in the account at the end of 3 years?
Click here to see answer by ikleyn(53875)

Question 1163381: A. According to the Turkish tax legislation, there are two main types of tax statuses regulated on the basis of residence: resident taxpayers and non-resident taxpayers. Individual income tax rates applicable on resident taxpayers for 2018 - 2019 are as follows:
Income Scales (TRY) Rate (%)
Up to 14,800 15
14,801 - 34,000 20
34,001 - 120,000 27
120,001 and over 35

a) Create a Mathematical Model that represents the aforementioned information to calculate the annual income tax.

b) How much annual income tax you will have to pay if your monthly taxable income is TRY 9,000.

Click here to see answer by CPhill(2264)

Question 1163408: According to the Turkish tax legislation, there are two main types of tax statuses regulated on the basis of residence: resident taxpayers and non-resident taxpayers. Individual income tax rates applicable on resident taxpayers for 2018 - 2019 are as follows:
Income Scales (TRY) Rate (%)
Up to 14,800 15
14,801 - 34,000 20
34,001 - 120,000 27
120,001 and over 35
a) Create a Mathematical Model that represents the aforementioned information to calculate the annual income tax.
b) How much annual income tax you will have to pay if your monthly taxable income is TRY 9,000.

Click here to see answer by CPhill(2264)

Question 1164610: Given the following logical expression, place the operations in the order in which you would apply, from first operation to last.
p → q ∨ ~r

Click here to see answer by Edwin McCravy(20086)

Question 1164606: Write a piecewise function for the given situation.
A parking garage charges $2 an hour for parking in the garage with a maximum amount of money you can be charged is $16 no matter the amount time you parked there.
Click here to see answer by CPhill(2264)

Question 1164608: Translate the following statement to a symbolic representation.
Doc Brown was not killed by the terrorists
Click here to see answer by CPhill(2264)

Question 1164609: Given the following logical expression, place the operations in the order in which you would apply, from first operation to last.
~p ∧ q → r
Click here to see answer by CPhill(2264)

Question 1164611: Translate the following statement to a symbolic representation.
Madeline Kahn played Mrs. White or Coleen Camp played Yvette in the movie Clue

Click here to see answer by CPhill(2264)

Question 1164633: The U.S. currently has seven federal income tax brackets, with rates of 10%, 12%, 22%, 24%, 32%, 35% and 37%. If you fall into the 37% bracket, that doesn’t mean that the entirety of your taxable income will be subject to a 37% tax. Instead, 37% is your top marginal tax rate.
FEDERAL TAX BRACKETS 2018 - 2019 Tax rate (%)
$0 - $9,525 10
$9,526 - $38,700 12
$38,701 - $82,500 22
$82,501 - $157,500 24
$157,501 - $200,000 32
$200,001 - $500,000 35
$500,001+ 37
Table : 1 Federal income tax brackets
Required:
i) Create a Mathematical Model that represents the aforementioned information to calculate the annual income tax.
ii) How much annual income tax you will have to pay if your monthly taxable income is $ 40,000?

Click here to see answer by CPhill(2264)

Question 46425: One day, the temperature at 2:00 A.M. was 43�F, and by 3:00 P.M. the temperature was 56�F. What was the hourly rate of temperature change?

Click here to see answer by ikleyn(53875)

Question 60834: This one has me bogged down.
I am attempting to graph and looking at the table.
Is this the correct way of looking at this equation?
The total profit (�P� in dollars) for sales of �x� machines is given by P(x) = - 0.2 x^2 + 300x � 200. Find the following:
a. The profit if 500 machines are sold.
b. How many machines must be sold for maximum profit?

Click here to see answer by ikleyn(53875)

Question 298712: A cat, a fox and a dog share a portion of 450 grams of meat. If two foxes eat as much as three cats and two cats eat as much as a dog, how many grams of meat does the fox eat?

Click here to see answer by MathTherapy(10839)

Question 53086: My daughter got this word problem for school and it sounds pretty simple to me
but I have tried everything and I am horrible at math so I need a little help
before I throw my calculator out the window! Here is it
Linae went shopping for Kou-jong tiles at the local toy shop the other day. The kou-jong tiles were on sale for only 28 cents each.
However, she got it in her head that, for good luck, the total amount of money she must spend must be a number where all of the digits are the same.
With that in mind, what is the minimum number of tiles she must buy?

Click here to see answer by ikleyn(53875)

Question 1210603: I came across this in an old book:
Determine logarithm of 6253.
In table, the mantissa is .7959 (The same mantissa of 6250). The next larger is .7966, mantissa of 6260.
6260 - 6250 = 10 (difference of 10).
.7966 - .7959 = 0.0007
This is part I don't understand:
Each increase of 1 unit (6250 increase of 10 to 6260), mantissas of their logs increase by 0.0007, an increase of .1 of 0.0007. 3 added to 0250 will add .3 of 0.0007 or 0.0002 to the mantissa of 6253.
Why is .1 and .3 added ?
Click here to see answer by greenestamps(13355)

Question 296183: Alphonse has three times as many marbles as Beatrice. If Alphonse would give 15 of his marbles to Beatrice then he would have twice as many marbles as she does. How many marbles must Alphonse give to Beatrice so that they each have the same number?
(A) 30 (B) 45 (C) 60 (D) 90 (E) Not enough Information
Click here to see answer by ikleyn(53875)

Question 1164612: Translate the following statement to a symbolic representation.
If Mouth finds One-Eyed Willy's treasure then his family can save their home

Click here to see answer by Edwin McCravy(20086)

Question 288541: A motorboat takes 4 hours to travel 256 mi going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Click here to see answer by n2(88)

Question 280019: Please solve this word problem: How much money should parents deposit today in a college fund earning 5% compound quarterly, so that it will accumulate to $150,000.00 in 15 years?
Click here to see answer by josgarithmetic(39823)

Question 1210587: Reposted Question :
"A pint a pound the world round" is an old saying. A pint of water weighs slightly more than a pound. Determine weight of a milliliter of water.

Click here to see answer by josgarithmetic(39823)

Question 1210586: Reposted Question :
"A pint a pound the world round" is an old saying. A pint of water weighs slightly more than a pound. Determine weight of a milliliter of water.

Click here to see answer by josgarithmetic(39823)

Question 1210585: Reposted Question :
"A pint a pound the world round" is an old saying. A pint of water weighs slightly more than a pound. Determine weight of a milliliter of water.

Click here to see answer by josgarithmetic(39823)

Question 1210584: "A pint a pound the world round" is a old saying. If a pint weighs a pound, determine weight of a milliliter.
Pint = pound.
Milliliter = .001 liter.
Not sure how to solve.

Click here to see answer by greenestamps(13355)

Question 269651: At a point on the ground 80ft from the base of a tree, the distance to the top of the tree is 11ft more than 2 times the height of the tree. Find the height of the tree. (Simplify your answer. Round to the nearest foot as needed.)

Click here to see answer by n2(88)

Question 261181: Mary walked 4 laps around the park track. It took Mary 4 minutes to walk the first
lap. The second lap took 25% longer than the first lap. The third lap took 20%
longer than the second lap. The final lap took 50% longer than the third. What was
Mary�s total walking time for the 4 laps?
Click here to see answer by josgarithmetic(39823)

Question 262970: Perimeter of front wheel = 30, back wheel = 20. If front wheel revolves 240 times. How many revolutions will the back wheel take?
Click here to see answer by ikleyn(53875)

Question 1031819: The length of a particular rectangle is 8 inches more than 2 times its width. A new rectangle is formed by tripling the width. The area is 30 square inches more than the area of original rectangle. Find the dimensions of the original rectangle.
Click here to see answer by josgarithmetic(39823)

Question 1154151: Find three consecutive positive odd integers such that the sum of their squares is 371.
Click here to see answer by greenestamps(13355)

Question 1210578: A standard 55 gallon drum is holding oil. A portion of the oil is removed. A stick with inch measurements is placed in the drum. The remaining level is 2 7/8 inches. Determine amount (gallons) remaining in drum.
Check my calculations, please.
Dimensions:
Diameter; 22.5"
Height; 33.5"
Drum is cylindrical, and standing vertical.
Volume formula; pi * r^2 * h.
3.1416 * 16.75 * 16.75 * 2 7/8 (2.875) = 2534.06 cu. in.
2534.06 / 231 = 10.969 = 11 gal.
Where am I correct ? Answer given is less.
Click here to see answer by ikleyn(53875)

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, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780