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Question 1201003: A rectangle is inscribed in a circle: x^2 + y^2 = 9.
Find the dimensions of the rectangle with the maximum area.
Click here to see answer by Edwin McCravy(20054)

Question 1201042: Write each rational expression as an equivalent expression with the indicated denominator.
\frac{14}{z^2-3z}=\frac{?}{z\left(z-3\right)\left(z-2\right)}
Click here to see answer by math_tutor2020(3816)

Question 1201074: Given 3x² - mx + 3 = 0, What values of m would the roots not be real ?
Click here to see answer by ikleyn(52776)

Question 1201082: Find the limit using l'Hospital's Rule.
lim(as x approaches to 0+)13(x)e^(1/x)
Click here to see answer by ikleyn(52776)

Question 1200944: QUESTION ONE
a) Elaborate the assumptions underlying linear programming model
b) Explain the steps that are taken during decision making process

QUESTION TWO
A firm is engaged in producing two products A and B, each unit of product A requires 2 kg of row material and 4 labour hours for processing, whereas each unit of product B requires 3 kg of row material and 3 hours of labour of the same type. Every week, the firm has an availability of 60 kg of row material and 96 labour hours. One unit of product A sold yields $ 40 and one unit of product B sold gives $35 as profit.
Required: Formulate this problem as a linear programming problem to determine as to how many units of each of the products should be produd
Click here to see answer by mananth(16946)

Question 1201080: Determine the intervals on which f(x) is concave up or down and find the points of inflection.
f(x) = (x^2-5)e^x
Click here to see answer by Alan3354(69443)

Question 1201186: (x ^ 2 - 8x + 7)/(x ^ 2 - 6x - 7) / ((x ^ 2 + 7x + 6)/(x ^ 2 - x - 42))
Click here to see answer by ikleyn(52776)

Question 1201205: at a football game, a vender sold a combined total of 120 sodas and hot dogs. The number of sodas sold was two times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold
Click here to see answer by josgarithmetic(39616)

Question 1201267: C=23h+71
Click here to see answer by ikleyn(52776)

Question 1201293: When solving an equation with variables in denominators, we must determine the values that cause these denominators to equal 0, so that we can reject these values if they appear as proposed solutions. Find all values for which at least one denominator is equal to 0. Write answers using the symbol Do not solve.
\frac{-1}{\left(x+3\right)\left(x-4\right)}=\frac{1}{2\left(x+1\right)}
Click here to see answer by Alan3354(69443)

Question 1201309: The height of a triangle is 4 cm more than twice the length of the base. The area of the triangle is 24 cm^2. Find the height of the triangle.

Click here to see answer by Alan3354(69443)

Question 1201398: Jennifer, Grace, and Janet played Computer games. Jennifer won 30% of the total games, Grace 25%, and Janet 45%. There were no ties. What is the least possible number of the games that Jennifer won?
Click here to see answer by josgarithmetic(39616)

Question 1201401: Which of the following are true for all integers a,b, and c?
I.(a+b)+c=a+(b+c)
II.(a/b)/c=a/(b/c)
III.(a+b)/c=a+(b/c)
Click here to see answer by josgarithmetic(39616)

Question 1201401: Which of the following are true for all integers a,b, and c?
I.(a+b)+c=a+(b+c)
II.(a/b)/c=a/(b/c)
III.(a+b)/c=a+(b/c)
Click here to see answer by ikleyn(52776)

Question 1201401: Which of the following are true for all integers a,b, and c?
I.(a+b)+c=a+(b+c)
II.(a/b)/c=a/(b/c)
III.(a+b)/c=a+(b/c)
Click here to see answer by math_tutor2020(3816)

Question 1201402: --> represents an operation that includes addition and subtraction. Example: 5-->3=6; 4-->1=2. What is the value of 7-->3?
A)5
B)6
C)7
D)8
E)9

Click here to see answer by Edwin McCravy(20054)

Question 1201509: There were twice as many boys as girls in a Swimming Club. After 40 boys and 15 girls left the club, the number of girls who remained was 3/5 of the number of boys who remained in the club. How many children were there in the club at first?
Click here to see answer by math_tutor2020(3816)

Question 1201507: The ratio of Karen's beads to Sarah's beads is 7:5 . When Sarah gives 48 beads to Karen, she has 1/3 of the number of beads Karen has. During a game, Karen lost some beads to Sarah. As a result, Karen had 1/5 as many beads as Sarah. How many beads did Karen lose?
Click here to see answer by math_tutor2020(3816)

Question 1201506: 1 kg of prawns cost as much as 1.5 kg of fish. Lena paid $56 for 2 kg of fish and 3 kg of prawns . what was the cost of 1 kg of fish?
Click here to see answer by josgarithmetic(39616)

Question 1201510: Roslinda's monthly pocket money was 3/5 of Sheela's monthly pocket money. Roslinda's expenditure was 7/12 of Sheela's expenditure. Roslinda's monthly pocket money was 3/4 of Sheela's expenditure.(a)Find the ratio of Roslinda's savings to Sheela's savings. (b) If Roslinda saved $11.20, how much more pocket money did Sheela have that Roslinda?
Click here to see answer by mananth(16946)

Question 1201575: AutoZone sells a regular car battery for $700 and heavy-duty model for $1100. If it sold 40 batteries yesterday for a total of $34000. Indicate how many of each of the type of batteries and indicate the dollar value sales of each type.
Click here to see answer by Theo(13342)

Question 1201574: The average speed of a car over a certain distance is calculated by dividing the total distance travelled by the total time taken. Two towns A and B are 10km apart, a motorist travels from A to B at an average speed of 20km per hour and travels from B to A at an average 40km per hour.
(a) Determine the average speed to the motorist for the two trips combined. (I.e. from A to B and back to B and back to A)
(b) Determine the speed would the motorist have to average on the return trip from B to A to yield an overall speed of 30km per hour? Assume the motorist has averaged 20km per hour from A to B

Click here to see answer by mananth(16946)

Question 1201573: an online store sells two types of speaker docks for smartphones. the higher-priced speaker dock sells for $1900, and the lower-priced speaker dock sells for $800. last week the store sold three times as many lower-priced speaker docks as higher-priced speaker docks. combined sales totaled $34400. indicate how man lower-priced speaker docks did it sell?
Click here to see answer by Theo(13342)

Question 1201586: Write the following statements in the form of equation or expression , you are not required to solve the equation:
a). 4 more than 5 times a number , plus 2 times that number increased by 40
b). 21 less than twice c gives 9
c). 5 more than 6 times a number, plus 3 times that number, is 25.
d). A number less than 24 is the average of 15, 5 , 32 ?

Click here to see answer by mananth(16946)

Question 1201585: You are the manager of Motown Hardware. You are currently selling Energy Max batteries for $49.90. The cost of the batteries is $32.50.
1. Indicate the amount of the markup on these batteries
2. Explain what you percent markup is based on selling price
3. If the supplier reduces the cost to $29.00 as a promotional trade discount this week, what is your new amount of markup and what is the percent markup based on selling price?.

Click here to see answer by mananth(16946)

Question 1201589: Suppose that $25000 amounts to $37500 in 6 years with interest compounded monthly. Indicate what annual rate of compound interest has been used.
Click here to see answer by Glaviolette(140)

Question 1201584: Craftsman’s Village originally sold paneling for $275 per sheet. When the stock was almost depleted, the price was marked down 60% to make room for incoming merchandise. What was the sale price for paneling?
Click here to see answer by Glaviolette(140)

Question 1201583: A microwave oven cost the appliance warehouse $1413.00 and was initially marked up by 55% based on selling price. In the next few months, the item was marked down 20%, marked up 15%, marked down10%.
Indicate with an explanation the final selling price of the microwave oven?

Click here to see answer by Glaviolette(140)

Question 1201582: You are an owner of the shoe outlet. You are looking for a line of men’s shoes to retail for $799.95. If your objective is a 55% make-up based on selling price. Indicate and explain what is the most that your company should charge for the shoes to still get the desired mark-up.
Click here to see answer by Glaviolette(140)

Question 1201581: Your work in the tool department of Spark. A customer comes to you with a special coupon for a 10% discount the store is already running as 30% off sale. The item the customer has in hand is priced at $200. She claims that she is entitled to 40% discount. Your manager says that the 10% discount is taken off the final price after the initial 30% is deducted. Are the final prices the same? Use calculations to support your answer.
Click here to see answer by Glaviolette(140)

Question 1201578: Simeon wants to invest an amount now that will have a total value of $10 000 after 5 years. The compounded interest rate of the investment is 12% per annum. Calculate the amount that Simeon will have to invest today to receive $10 000 at the end of year five
Click here to see answer by Glaviolette(140)

Question 1201580: Every year after Mary had paid all her additional expenses and treated herself to some luxuries, she still had $4200 from her annual bonus available in her bank account. She wants to save this amount and decided to deposit this amount, on an annual basis, for the next 3 years. The special savings account she decided on earns interest at 12%, compounded annually. Calculate the total value of Mary’s special savings aco9unt at the end of year three.
Click here to see answer by Glaviolette(140)

Question 1201577: Today is Michaela’s birthday. She received a total of $2000 cash as presents from her friends and family. She wants to invest this money and decided on a fixed term bank deposit for six years at an annual compounded interest rate of 16%. Calculate the value of her investment at the end of year six.
Click here to see answer by Glaviolette(140)

Question 1201579: Helen will be investing an amount of $3900 annually at the end of each of the following four years. She will earn compounded interest of 14% per annum. Calculate the present value of Helen’s investment.
Click here to see answer by ikleyn(52776)

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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, 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30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580