Questions on Word Problems: Money, Business and Interest answered by real tutors!

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Question 840306: I have tried all day and cannot wrap my head around this please help...Orlando Salavarrio, a financial planner, recommended that 20% of a client's investment be placed in a 3% annual simple interest tax-free account, 40% be placed in 7% certificates of deposit, and the remainder be placed in a 9% high-risk investment. The total interest earned from the investments would be $5600. Find the total amount to be invested.
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Question 840310: Mary has 1.25 in dimes and quarters. She has 8 coins. How many dimes and how many quarters does she have?
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Question 840553: A principal of $500 is invested in an account at 7% per year compounded annually. What is the total amount of money in the account after 5 years?
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Question 840557: how much do you need to invest per month into an annuity to save $15,000 at 8% annual interest in 5 years?
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Question 840558: A theater has tickets at $6 for adults, $3.50 for students and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1,300. If the number of adult tickets sold was 10 less than twice the number of student tickets, how many of each type of ticket were sold for showing?
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Question 840586: Question 1- amee gets $4 a week in allowance. She wants to buy a game for $25. She has $5 saved. Write an equation you could use to find how may weeks it will take her to have enough to buy the video game.

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Question 840571: find monthly payment on a 5year loan of 4500 at an annual interest rate of 6.5%
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Question 840569: you are making monthly payments of 300 into an annuity that pays 9% annual interest. how long will it take to accumulate $10,000?
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Question 840868: An executive invests $24,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1,380, how much is invested at each rate?
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Question 840759: Mr. Morton invested $1400, part at 5% and the rest at 8%. His total annual income from these investments was $100. Find the amount he
invested at each rate.

Please help me solve this. I know this much:
X=amount at 5%
Y=amount at 8%
X+Y=100

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Question 840879: Mr. Decker invested a certain amount of money in bonds yielding 3% a year and twice as much in bonds yielding 5% a year. If his total annual income from the two investments was $208, how much did he invest in
each type of bond?
Please explain to me how to sole this!!

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Question 840882: margaret fennell won a prize for her work. she invested part of the money in a certificate of deposit at 4% and $3000 more than that amount in a bond paying 6%. her annual interest income was $780. how much did margaret invest in each rate?
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Question 840930: I have been having trouble with this composite function problem. Suppose the function f(x)= 0.15x represents the number of U.S. dollars equivalent to x Chinese yuan and the function g(y)= 14.07y represents the number of Mexican pesos equivalent to y U.S dollars. Write a composite function that represents the number of Mexican pesos equivalent to x Chinese yuan.
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Question 840928: the national wealth of a country increases by 4% of its value at the beginning of every year. find the national wealth of the country in 1985, if it was estimated at rs 3.125*10^12 in 1983
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Question 840948: Margarite wants to take a trip to japan in 8 years. she knows she will need about $4200.how much should she deposit into an account now that pays 3,5% interest comppound daily,in order to meet her goal?round to the nearest dollar.
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Question 840959: Jackson deposited 5,000$ at a 3.8% interest,compounded continuoulsy, when he was 18 years old. How much will be in the account when he is 40 years old if he made no other deposites or withdrawals?

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Question 841030: the price of a video system increases by 15% to $ 1,127.00. what was the price of the system before the increase?
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Question 841087: If you save $500 in an account that pays 3% annual interest, how many years will it take for your savings to double in value?
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Question 841124: a person bought 4 adult tickets and 2 children tickets and spent $80.00. How much did the tickets cost for adult and children? Please show your work while working towards your solution.
My equation is 4a + 2c = $80.00... then I solve for each one.
4a + 2c = $80.00 so…. Need to get s by itself so subtract 2c
4a = $80.00 – 2c… then divide by 4
a = $80.00/4 – 2c/4… then simplify
a = $20.00 – 1/2c

2c = $80.00 – 4a
C = $80.00/2 – 4a/2
C = $40.00 -2a
I don't know where to go from here. I believe my answers are 15 and 10 but how do I show that

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Question 841130: Find new ammount.
Original Price- $14.57
Markup Percent- 105%

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Question 841291: Andrea requires $1150 per year in extra income. She has $20000 to invest. She can invest in stocks paying 8% per year or in bonds paying 4% per year. How much money should she invest in stocks to realize her goal?
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Question 841339: A drama club sold 500 student and adult tickets to their play. Adult tickets cost $5 and student tickets cost $2.50. The total income was $1362.50. Set up two variables and 2 equations to determine the number of adult and student tickets sold.
My first thought was to set it up as
x= adult tickets
500-x= student tickets

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Question 841351: A sum of money that was invested at a fixed rate of interest doubled in value in 15 years. The interest was compounded yearly. Find the rate of interest to the nearest tenth of a percent.
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Question 841349: A sum of money that was invested at a fixed rate of interest doubled in value in 15 years. The interest was compounded yearly. find the rate of interest to the nearest tenth of a percent
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Question 841354: If your monthly base rate is $1700 and your commission percentage is 35%, what is your quota?
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Question 841436: if an item's total cost is $5.00 after a 6.35% sales tax what is the initial cost of the item before tax?
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Question 841433: how long it take an investment to quadruple in value if it earns 4% simple interest per year?
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Question 841507: What percentage would I be making off of an order that costs $54.00 and my profit is $28.50
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Question 841644: Wendy, a loan officer at a bank, has $1,000,000 to lend and is required to obtain an avg return of 18% per yr. If she can lend at the rate of 19% or at the rate of 16%, how much can she lend at the 16% rate and still meet her requirement?
I don't quite know what I'm solving for, or really where to start.

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Question 841653: How much money must be deposited today to become $1700 in 10 years at 8.5% compound continuously?
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Question 841638: A store makes a profit of $24 on a pair of shoes after a markup of 30%. What is the selling price of the shoes? Show two methods for determining your answer

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Question 841907: An exponential decay function y(t)=y(0)e^(-kt) models the amount of drug in the blood t hours after and initial dose of y(0)=100mg is administered. Assume that the half life of the particular drug is 16 hours. Find the exponential decay function that governs the amount of drug in the blood.
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Question 842175: in how many years will money double at 5.4% compounded monthly
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Question 842183: Mr. Ray handed the bank teller a check for $260 and said,"I wish three times as many one-dollars bills as fives, and half as many tens as fives," What should the teller have given him
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Question 842205: How much, to the nearest dollar, must a company earn in order to have 95000 left after paying 27% in taxes?
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Question 842470: how do you do a 4.5% raise on $18.50
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Question 842505: rowena can paint a car in 5 hours. Rudolf can paint the same car in 8 hours. they painted the car together for two hours and then rudolf quit to paint another car. how long will it take rowena to finish the job?
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Question 842508: Rowena can paint a car in 5 hours. Rudolf can paint the same car in 8 hours. they painted the car together for two hours and then rudolf quit to paint another car. how long will it take rowena to finish the job?
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Question 842537: Dr. Palma prescribes 10 ml of a 10%-solution of medicine. The pharmacist has a 25%solution and 5%-solution of this medicine. How many milliliters of the 25%-solution should be mixed to fill the description?
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Question 842516: beth C. Day lived 63 years from 18tu to 18ut. The sum of tu and ut is 11. In what year was Beth C. Day born?
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Question 842593: Jennifer invested $500 part at 7% per annum and the rest at 10% per annum. after one year total interest earned was $44. how much did she invest at each rate
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Question 842603: Help me solve this problem. Jessie's Juice Bar prices its bottled juices by raising the wholesale price 50% and adding 25 cents. What is the wholesale price of a bottle of juice that sells for $2.95?
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Question 843043: Mang Lorenzo, a gardener, can mow a lawn in 3hours. After 2 hours it rained and he stopped moving the lawn. In the afternoon. Aling Tina, completed the rest of the work in one hour and 30 minutes. How long would it take aling Tina to mow the lawn by herself?
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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, 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