Tutors Answer Your Questions about Equations (FREE)
Question 1160294: First-order sysytem ff linear differential equations
1. x'=-x, y' =x-y, z' =y-z, x(0) = 2, y(0) = 1, z(0)= 0
2. x'=y-z, y' =z-x, z' =x-y, x(0) = 2, y(0) = -1, z(0)= -1
Click here to see answer by solver91311(24713)   |
Question 1160456: The domain of the function they have described (use interval notation if possible).
The range of the function they have described (use interval notation if possible).
Lyft is offering a deal of 0.09 cents per minute if you are driving to anywhere under 15 minutes. If the location is over 15 minutes, it doubles to 0.18 cents per minute.
Click here to see answer by ikleyn(52776)  |
Question 1160495: Scouting Troop A is going on a hike. There are 8 scouts and 2 adults on the trip, each with a backpack.
Each adult weighs about 160 lbs.
Each scout weighs about 100 lbs.
Each backpack weighs about 20 lbs.
The troop will use small boats to cross a river. Each boat can hold up to 360 lbs. How many boats will it take for Scouting Troop A to cross the river?
Click here to see answer by PeanutTheCat(5)  |
Question 1160520: Miguel just retired, and has $590,000 to invest. A very safe Certificate of Deposit (CD) account pays 2%, while a riskier bond fund pays 5% in interest. Miguel figures he needs $21,000 a year in interest to live on. How much should he invest in each account to make enough interest while minimizing his risk?
$
at 2%
$
at 5%
Click here to see answer by Boreal(15235)  |
Question 1160518: The median home value in Pennsylvania and New Jersey (adjusted for inflation) are shown below.
Year Pennsylvania New Jersey
1950 42400 63100
2000 97000 170800
If we assume that the house values are changing linearly,
a) In which state have home values increased at a higher rate?
Select an answer
b) If these trends were to continue, what would be the median home value in Pennsylvania in 2010?
$
c) If we assume the linear trend existed before 1950 and continues after 2000, the two states' median house values will be (or were) equal in what year? (The answer might be absurd)
The year
Click here to see answer by Boreal(15235) |
Question 1160517: You need a to get a grade of C (70%) in this course. At this point in the course, there have been 1000 points and you have 65% of these 1000 points.
The only thing left in the course is the final, and you feel very confident
that you will do well. In fact, you think that you can get at least a 90% on
the final. How many points do you need the final to be worth to bring your
grade up to a C?
Click here to see answer by Boreal(15235) |
Question 1160517: You need a to get a grade of C (70%) in this course. At this point in the course, there have been 1000 points and you have 65% of these 1000 points.
The only thing left in the course is the final, and you feel very confident
that you will do well. In fact, you think that you can get at least a 90% on
the final. How many points do you need the final to be worth to bring your
grade up to a C?
Click here to see answer by solver91311(24713) |
Question 1160519: You want to get the temperature of your pool up to 80 degrees. There are 30 thousand gallons of water in your pool, but it can hold more water. At this point the temperature of the pool water is 78 degrees. You will be adding
water that is at a temperature of 90 degrees. How many gallons of 90 degree water do you need to add to bring the pool temperature up to 80 degrees?
Give your answer to the nearest gallon.
Click here to see answer by solver91311(24713) |
Question 1160519: You want to get the temperature of your pool up to 80 degrees. There are 30 thousand gallons of water in your pool, but it can hold more water. At this point the temperature of the pool water is 78 degrees. You will be adding
water that is at a temperature of 90 degrees. How many gallons of 90 degree water do you need to add to bring the pool temperature up to 80 degrees?
Give your answer to the nearest gallon.
Click here to see answer by Boreal(15235) |
Question 1160519: You want to get the temperature of your pool up to 80 degrees. There are 30 thousand gallons of water in your pool, but it can hold more water. At this point the temperature of the pool water is 78 degrees. You will be adding
water that is at a temperature of 90 degrees. How many gallons of 90 degree water do you need to add to bring the pool temperature up to 80 degrees?
Give your answer to the nearest gallon.
Click here to see answer by greenestamps(13198)  |
Question 1160712: Hello
I need an explanation on this problem, not a solve.
Kira drove 200 miles from San Diego to Santa Barbara. On the return trip, she decreased her speed by 10 mph, and the trip took an extra hour. What was her speed on the way back?
Going: 200/x
Return: 200/x-10
200/x + 1 = Return: 200/x-10
I’m confused as to why we add one to going and not on return since that statement comes after she decreased her speed.
Thanks in advance.
Click here to see answer by ikleyn(52776) |
Question 1160712: Hello
I need an explanation on this problem, not a solve.
Kira drove 200 miles from San Diego to Santa Barbara. On the return trip, she decreased her speed by 10 mph, and the trip took an extra hour. What was her speed on the way back?
Going: 200/x
Return: 200/x-10
200/x + 1 = Return: 200/x-10
I’m confused as to why we add one to going and not on return since that statement comes after she decreased her speed.
Thanks in advance.
Click here to see answer by MathTherapy(10551)  |
Question 1160899: In solving this equation, (x-3)/(x+2)=(x+2)/(x-3) you could cross multiply and get (x-3)^2=(x+2)^2 but you can't simply take the square root of each side because then you get x-3=x+2 and hence 0=5 which is wrong. If you multiply (x-3)(x-3) and (x+2)(x+2) and get x^2-6x+9=x^2+4x+4 then it is solved, x=1/2. My question is, WHY can't you take the square root of both sides, as mentioned earlier? Thank you so much for your help.
Click here to see answer by Boreal(15235) |
Question 1160899: In solving this equation, (x-3)/(x+2)=(x+2)/(x-3) you could cross multiply and get (x-3)^2=(x+2)^2 but you can't simply take the square root of each side because then you get x-3=x+2 and hence 0=5 which is wrong. If you multiply (x-3)(x-3) and (x+2)(x+2) and get x^2-6x+9=x^2+4x+4 then it is solved, x=1/2. My question is, WHY can't you take the square root of both sides, as mentioned earlier? Thank you so much for your help.
Click here to see answer by MathTherapy(10551) |
Question 1160899: In solving this equation, (x-3)/(x+2)=(x+2)/(x-3) you could cross multiply and get (x-3)^2=(x+2)^2 but you can't simply take the square root of each side because then you get x-3=x+2 and hence 0=5 which is wrong. If you multiply (x-3)(x-3) and (x+2)(x+2) and get x^2-6x+9=x^2+4x+4 then it is solved, x=1/2. My question is, WHY can't you take the square root of both sides, as mentioned earlier? Thank you so much for your help.
Click here to see answer by ikleyn(52776) |
Question 1161154: 1)Find the time required for an investment of 7,000 dollars to grow to 11,000 dollars at an interest rate of 6% per year, compounded monthly. Give your answer accurate to 2 decimal places.
2) Joy invests $19,000 at 14% simple interest for 1 year. How much is in the account at the end of the 1 year period?
Click here to see answer by Theo(13342)  |
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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
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