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

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Question 212039: You just added a family room to your home. You have budgeted $450 for carpeting. If you need 20 yards of carpeting, how much can you spend peer square yard.
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Question 212295: Kirsten spent 1/5 of her money for gasoline. Then she spent 1/2 of what she had left for a haircut. She bought lunch for $7. When she got home she had $13 left. How much did Kirsten have originally? I tried working this so X was the original, 1/5*x was the gas, 1/5x *1/2 was for haircut and -7 for the lunch subtracting each to equal 13. But I don't think its right. Maybe work it backwards with 13+7=20 then what to do with the haircut and gas?

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Question 212332: eric's grandfather is 57 years older than he is. Five years from now, his grandfather will be four times as old as Eric is at that time. How old is the grandfather?
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Question 212494: At an altitude of h feet above the surface of the earth, the approximate distance in miles that a person can see is given by the expression d2 = 1.5h. How far can a person see if he or she is 1270 feet above the earth's surface? (Round your answer to the nearest tenth of a mile.)
Click here to see answer by checkley77(12844) About Me 

Question 212493: Joe invested a portion of $6000 at 4.5% interest and the balance at 6% interest. How much did he invest at 6% if his total income from both investments is $279?
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Question 212565: Janet invested her savings in two accounts. One of the accounts paid 2% intrest, and the other paid 5%. Janet put twice as much money int eh account that paid 5% as she put in the account that paid 2%. if she earned a total of $84 in intrest from the two accounts in one year, find the amount invested in each fund?
Click here to see answer by stanbon(75887) About Me 

Question 212321: the parking cost at the local airport (in dollars) is C=2+1.75(h-1), where h is the number of hours the car is parked. For what range of hours is the parking cost between $37 and $51?
Click here to see answer by Fombitz(32388) About Me 

Question 212813: Whitney Williamson has $30,000 she would like to invest. She has a choice of two interest paying ponds, one offering 6% annual interest and the other paying 7.5% annual interest. She would like to earn $2,100 in interest in one year. If she earns more than $2,100, she would need to pay a higher income tax. How much money should she invest in each bond?
Click here to see answer by Theo(13342) About Me 

Question 212919: Please help!! Wilma wants to have $2m when she retires in 45 years. Assuming that she can average 4.5% return annually in Treasury Bills, then how much must she invest now in Treasury Bills to achieve her goal?
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Question 212938: If $7000 is deposited in an account paying 8% compounded continuously, then what will it amount to after 4 years?
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Question 212937: If $400 is deposited in an account paying 10% compounded quarterly, then what amount will be in the account after 7 years?
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Question 213051: A city had a budget deficit of $50,000. If revenues were $250,000, how much were expenses?
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Question 212307: an investor has $5000 to invest for a period of 1 year. Find the range of per annum simple interest rates required to generate interest between $200 and $275 inclusive
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Question 213270: 1.Interest rate is critical to the speed at which your investment grows. If $1 is invested at 2%, it takes approximately 34.9 years to double. If $1 is invested at 5% it takes approximately 14.2 years to double. How many years will it take for $1 to double if invsted at 10%; and 12%? It asks to use the future value table or compound amount of $1.00.
-My answer for 10% would be 7.1 years since it is half of 14.2 but more than 5%? I have no idea what formula to use. Have no idea how I would even get these answered? What formula should be used if I have no idea of time?
2. At what interest rate would you need to invest to have your money double in 10 years? same it asks to use the table and use the 10 year row that represents doubling? I'm lost!

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

Question 213489: A dealer wishes to make cashew nuts selling at OR 192 per kilogram and peanuts
selling at OR 168 per kiloram.How much of each nut should be mixed to get 8 kilograms worth OR 174 per kilogram?

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Question 213507: The revenue for selling x units of the product is R=115.95x. The cost of producing x units is
C=95x+750.
To obtain a profit, the revenue must be greater than the cost. For what values of x will this product return a profit.

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Question 213720: I filled in the book and question info above
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Question 212064: If $1,000,000 of 8% bonds are issued at 102 1/2, the amount of cash received from the sale is _______. (Points: 4)
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Question 213916: a radio station pays 10500.00 in salaries a month. The amount spent on announcers was 3/5 that amount spent on all other employees. Find the amount spent on announcers and on all other employees
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Question 213926:
You have deposited 13,500 dollars in a bank account which yields interest at 5% per year. What is the balance in the account after 8 years?

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Question 214058: Suppose you get $1000 as a tax refund this year,and deposit in a retirement account earning 4.8% interest compounded monthly.then in the same retirement account you start to deposit $80.00 a month that you are saving because of some simple cuts that you have made in your budget,how much will you have in 25 years when you want to retire.
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Question 214102: John bought a new car for 18966.00 including sales tax. If the sales tax was 9% did what amount of tax did he pay.
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Question 214111: Solve i = Prt for i, given that P = $500, r = 7%, and t = 3 1/2 years.
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Question 214180: I would appreciate help with the following word problem:
The Arnold Inn offers two plans for wedding parties. Under plan A, the inn charges $30 for each person in attendance. Under plan B, the inn charges $1300 plus $20 for each person in excess of thefirst 25 who attend. For what size parties will plan B cost less? (Assume that more than 25 guests will attend.)
Solve as an inequality. I would appreciate if you show your work so I can understand how it's done.
Thank you very, very much!

Click here to see answer by josmiceli(19441) About Me 

Question 214318: i spent half my money plus three dollars on a pair of jeans then took the rest of the money and spent half plus 2 dollars on a shirt. i have 5 dollars left. what was my begginning amount of money? i cannot figure it out... tried alot of stuff...
Click here to see answer by thinkingeye(11) About Me 

Question 214474: If $1,000 is invested at 4% interest, how much money must be invested at 11% interest so that the total return for both investments averages 10%?
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Question 214234: The Gazette's profit is $20 per year for each of its 3,000 subscribers. Management estimates that the profit per subscriber will increase by 1 cent
for each additional subscriber over the current 3,000. How many subscribers will bring a total profit of 120,000?

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Question 214679: Suppose you invest a certain amount of money in an account that earns 4% annual interest and $2000 more than that in an account that pays 5% annual interest. If the total interest brom both accounts at the end of the year is $370, how much is invested in each account?
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Question 214685: The cost of 12 oranges and 7 apples is $5.36. Eight oranges and 5 apples cost $3.68. Find the cost of each orange
Sam invested a total of $10,000, part at 8% and the rest at 3%. How much was invested at 8% if he earned a total of $600 in one year? (Use the formula , Interest = principal * time * rate)
In an office there was a small cash box. One day Jane took half of the money plus $1 more. Then Mike took half of the remaining money plus $1 more. Rob then took the remaining $6. How many dollars were originally in the box?
The sum of two numbers is 8 less than twice the first number. Their difference is 4 less than twice the second number. What is the larger number?

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Question 214700: Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1 1/2 times her salary for the overtime hours worked. One week her gross pay was $352.50. How many overtime hours did she work that week?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 214812: Henry invested $12,000 in a new restaurant. When the restaurant sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(I +r)^2= 27,000.
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Question 214166: At the homecoming football game, the senior class officers sold slices of pizza for $0.75 each and hamburgers for $1.35 each. They sold 40 more slices of pizza than hamburgers, and sales totaled $292.50. How many slices of pizza did they sell?
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Question 214871: I've figured out the answer but don't know the formula to arrive at it. The problem is: Warren has 40 coins (all nickels, dimes and quarters) worth $4.05. He has 7 more nickles than dimes. How many quarters does Warren have?
The answer is 13 dimes, 20 nickles and 7 quarters, I figured from trial and error relatively easily, but I can't come up with the equation. Can you help? Thanks,

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Question 214897: standard form 5x-2y+2=0, how do you graph line this?
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Question 214841: Jim invested in Ford Motors. He gained 10% of his investment, giving him $50. What was his initial investment?
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Question 215046: Natalie has some nickles, Dirk has some dimes, and Quincy has some quarters. Dirk has five more dimes than Quincy has quarters, If Natalie gives Dirk a nickle, Dirk gives Quincy a dime, and Quincy gives Natalie a quarter, they will all have the same amount of money. How many coins did they each have originally?
Click here to see answer by drj(1380) About Me 

Question 215071: I'm having trouble setting up this question, help would be appreciated:
Research has shown that if 100 pear trees are planted, then the annual revenue is $90 per tree. If more trees are planted they have less room to grow and generate fewer pears per tree. As a result, the annual revenue per free is reduced $0.70 for each additional tree planted. No matter how many trees are plated, the cost of maintaining each tree is $7.40 per year. How many pear trees should be planted to maximize the profit from the orchard for one year?
Let 'x' represent the amount of pear trees planted.
Profit = Revenue - Cost
Revenue = (90-0.7x)(100+x)
Cost = 7.40(100+x)
Profit = 9000+90x-70x-0.7x^2-740+7.4x
The function I work out is:
+-0.7x%5E2%2B27.4x%2B8260+
However I can't work it out correctly, can someone help me set this problem up?? Thanks in advance.

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Question 215546: What is Sally’s gross salary on the 2nd year, after a 3.5% raise? Sally's original salary is $45,000 a year.
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Question 215780: CONPUTERWORLD HAS EXPENSES THAT RUN 15/16 OF REVENUE. ONE MONTH'S PROFIT( THE DIFFERENCE BETWEEN REVENUE AND EXPENSES) WAS $9000. fIND THE REVENUE
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Question 215840: Please help!
A collection of 40 dimes and nickels is worth $2.90. How many nickels are there? (hint: In your equation, use 290 cents instead of $2.90.)

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Question 215847: An outdoor furniture manufacturer has fixed costs of $5,000 per month and average variable costs of $7.00 per unit manufactured. The company has $70,000 available to cover the monthly costs. How many units can the company manufacture? (Fixed costs are those that occur regardless of the level of production. Variable costs depend on the level of production.)

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Question 216017: If there are 500 coins in total (consisting of half-dollars, dimes and pennies), and it totals $25.00, what is the combination of coins? How many half-dollars, dimes and pennies? Show the algebra.
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Question 216279: If Ben invests $4000 at 4% interest per year, how much additional money must he invest at 5.5% annual interest to ensure that the interest he receive each year is 4.5 of the total amount invested?
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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