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

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Question 182788: you have gooten a 5% annual raise during each of the past 2 years. If you now earn $24,806.25, what was your salay two years ago?
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Question 183019: A mass of iodine-131 atoms decays in such a way that half decay every 8 days. What portion of the original mass remains after 32 days?
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Question 183070: 1.6 #84
Consumre Awareness. The suggested trtail price of a new car is p dollars. The dealership advertised a factory rebate of $1200 and an 8% discount.
a. Write a function R in terms of p giving the cost of the car after receiving the rebate from the factory.
b. Write a function S in terms of p giving the cost of the car after receiving the dealership discount.
c. Form the composite functions (R o S)(p) and (S o R)(p) and intercept each.
d. Find (R o S)(18,400) and (S o R)(18,400. Which yields the lower cost for the car? Explain

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Question 182937: Please help me: a candy company is going to test market 1 kg packages each containing 3 kinds of candy the company plans to prepare 10,000 packages each will contain mints that sell for $2.20 per kg caramels that sell for $3.00 per kg and toffee that sells for $3.20 per kg marketing says that they must use twice as many caramels as toffee in each package the cost will be $2.72 per kg to break even how many total kg of mints will they need for the 10,000 packages
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Question 183125: Mr.adams will be serving 20 people at a barbeque. He plans to make two hamburgers for each person. Mr. Adams spent $27.00 at the store on meat, which sells for $2.25 per pound. If Mr.Adams wants to make all the hamburgers the same size, what will be the size, in pounds of each hamburger?
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Question 183150: Please explain the steps solve this problem:

The price of unleaded regular gasoline varies with the price per barrel of oil on the world market. When oil was selling for $30 per barrel I paid $1.25 per gallon for gasoline. When oil was selling for $140 per barrel, I paid $4.00 for a gallon of gasoline.

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Question 183213: Sam found a number of nickels,dimes, and quarters in his room. He found three more dimes than nickels, but twice as many quarters as dimes. The total value of the coins was $5.05. How many coins of each type did Sam find? Please show me the steps you took to get your answer; I am totally lost!
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Question 183213: Sam found a number of nickels,dimes, and quarters in his room. He found three more dimes than nickels, but twice as many quarters as dimes. The total value of the coins was $5.05. How many coins of each type did Sam find? Please show me the steps you took to get your answer; I am totally lost!
Click here to see answer by Edwin McCravy(20054) About Me 

Question 183385: A collection of loonies, toonies, and quarters has a value of $25.50. There is one more looney than there are toonies, and there are twice as many quarters as toonies. How many of each kind of coin are in the collection?
Can you please help me?

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Question 183387: After selling tickets at school, Jeff had $6.00 in dime and quarters. If Jeff had 39 coins in total, how many of each coin did he have?
Can you help me with this?

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Question 183853: A coin bank contains nickels, dimes, and quarters totaling $5.45. If there are twice as many quarters as dimes and 11 more nickels than quarters, how many of each coin are in the bank?
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Question 184253: a collection of dimes and nickels contains 37 coins and has a total value of $2.85.how many of each coin are there in the collection?
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Question 184172: Anne borrows $1000 and agrees to pay $100 plus 1% interest if 1% on the unpaid balance each month. Find the payments for the first 6 months and the remaining debt at the end of this period.
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Question 184260: I have a circular diagramme. I draw the first sector,then the second one which is 2 times bigger than the fist one ,and so on, to finally divide the whole diagramme. If we double the previos sector 6 times, find the value of the angle at the middle of the inital sector. PLEASEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPP
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Question 184424: In quebec, we have to pay 2 taxes.Federale taxe:6%. Qucebec tave:7,5%.Why are these 2 combined taxes give a pecentage of 13,95% and not 13,5%?????????? PLESEEEEEEEEEEEEEEEEEEEEEE EXPLAINNNNNNNNNNN !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 184422: Every ear,we return 12% of a sum of money without an intersest. if after 5 years, we still have 1400 $ to pay,what sum of money did i borrow?? PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPP !!!!!!!!!!
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Question 184515: Find the cost to a retailer of a wide-screen TV listed at $989.99 less a trade discount of 35%.
a) $643.49
b) $989.64
c) $14,025.00
d) None of these

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Question 184685: Scott invests $1260 more at 8% than he invests at 12%. The interest from the two investments is the same. How much did he invest at 8%?
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Question 184711: What Is The Interest On $38,925.00 For One(1)Year At 5 1/2 Percent Interest?
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Question 184883: Marcus is inventing a new cookie recipe. He'd like the recipe to contain both walnuts and gourmet chocolate chip chunks. Walnuts sell for $2.40 per pound and gourmet chips sell for $3.00 per pound. How many pounds of walnuts should be mixed with 3 pounds of gourmet chips to obtain a mixture selling for $2.58 per pound?
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Question 184940: suppose you can spend $10 dollars every minute,night and day. how much could you spend in a year(assume there are 365 days in a year)
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Question 185098: Sean mows his half of hte yard in 30 minutes. His brother takes 50 minutes. If they each had their own lawn mower and worked together, how long would the job take?
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Question 185098: Sean mows his half of hte yard in 30 minutes. His brother takes 50 minutes. If they each had their own lawn mower and worked together, how long would the job take?
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Question 185107: E-Z-R Loan Agency writes a loan agreement stipulating that $1308 is to be paid for a simple-interest loan for one year at 9%. How much is being borrowed? How much interest is being paid on the loan?
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Question 185096: Betsy has twice as many dimes as nickles and one more penny than nickels. Together she has $1.31. How many of each coin does she have?
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Question 185117: A cashier has 30 bills, all of which are $10 or $20 bills. The total value of the money is $330. How many of each type does the cashier have?
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Question 185198: We are standing on a roof and we throw a ball from a certain height.The height of the bounce of the ball is equal to 70% of the height from where we threw it.
If the height of the third bounce is 10.29m., at what height are we standing>????????????????????????????????? PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPP !!!!!!!!!!!!! I ReALLY NEED HELPPPPPPPPPPPPPPPPPP !!!!!!!!!!

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Question 185198: We are standing on a roof and we throw a ball from a certain height.The height of the bounce of the ball is equal to 70% of the height from where we threw it.
If the height of the third bounce is 10.29m., at what height are we standing>????????????????????????????????? PLZZZZZZZZZZZZZZZ HELPPPPPPPPPPP !!!!!!!!!!!!! I ReALLY NEED HELPPPPPPPPPPPPPPPPPP !!!!!!!!!!

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Question 185214: 1.It is 12pm.2 people are fishing.If Benoit gives 2 of his fishes to Amelie,she will have 2 times more fishes than him. If Amelie gives 4 fishes to Benoit,he will have the same amount of fishes.How many fishes does each have ??

2.It is 4pm.If benoit gives 8 of his fishes to Amelie,she will have 3 times more fishes than him.If Amelie gives the 1/5 of her fishes to Benoit,they willhave the same amount.Howmany fishes do the have?? PLESEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPP WITH THIS ONE !!!!!!!!!!!!!!!!!!!!!!!!! THANK YOU SOOOOOOOOOOOOOOOO MUCHHHHHHHHHHHHHHH !!!!!!!!!!!!!!!! OH GOD !!!!!!!!!!!!

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Question 185215: 1.It is 12pm.2 people are fishing.If Benoit gives 2 of his fishes to Amelie,she will have 2 times more fishes than him. If Amelie gives 4 fishes to Benoit,he will have the same amount of fishes.How many fishes does each have ??

2.It is 4pm.If benoit gives 8 of his fishes to Amelie,she will have 3 times more fishes than him.If Amelie gives the 1/5 of her fishes to Benoit,they willhave the same amount.Howmany fishes do the have?? PLESEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPP WITH THIS ONE !!!!!!!!!!!!!!!!!!!!!!!!! THANK YOU SOOOOOOOOOOOOOOOO MUCHHHHHHHHHHHHHHH !!!!!!!!!!!!!!!! OH GOD !!!!!!!!!!!!

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Question 185426: Wilma wants to have $2,000,000 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 185848: Dave Salcedo has $40,000 to invest. He invests part of it at 5%, one-fourth of this amount at 6%, and the rest of the money at 7%. His total annual interest income is $2530. Find the amount invested at each rate.
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Question 186222: the material cost of a medical gadget is $4 less than twice the cost of the direct labour and the overhead is 5/6 of the direct labour cost. the total cost of the gadget is 157$ what is the amount of each of the three elements of cost?? "i had a hard time figuring this out and i have a lot of questions like this in college. Can you please show me all the steps thank you
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Question 186609: a company makes both LCD and CRT color monitors. the cost of materials for a CRT monitor is $50, whereas the cost of materials for a LCD monitor is $150. cost of labor to make a CRT monitor is $80, whereas the cost of labor to make an LCD monitor is $130. during a week when the company has budgeted $9600 for materials and $8760 for labor, how many LCD monitors does the company plan to make?
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Question 186610: i need help with the following word problem:
a museum charges $10 for a regular admission ticket, but members recieve a discount of $3 and students are admitted for $5. Last saturday, 750 tickets were sold for a total of $5400. if more 20 student tickets than regular tickets were sold, how many of each type of ticket were sold?
thanks!

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Question 187174: a business invests $8,000 in a savings account for 2 years. at the beginning of teh second year, an additional $2500 is invested. At the end of the second year, the account balance is $ 11445. What was the annual interest rate?
So far I used the compounding interest formula where I = P(1 + r)^t
for the 1 st year's interest = (8000 + 8000r)
and for the second year's interest was (1st year's interest + [(8000+2500) + (8000r)(1 + r)^1] = total income after two years of 11445.
to set up my quadratic equation I combined like terms
8000 + 8000r + [(10500 + 8000r)(1 + r)] = 11445
8000 + 8000r + [10500 + 8000r + 10500r + 8000r^2] = 11445
combining terms 18500 + 26500r + 8000r^2 = 11445
or 8000r^2 + 26500r = 11445 - 18500 or -7055
8000r^2 + 26500r + 7055 = 0
at this point I get stuck because the numbers are too high in order to effectively use the quadratic formula to solve for r
I believe the answer is .05 or 5% annual interest rate..can you show me how you worked through the quadratic formula...
Thank you very much!
Kerry

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Question 187406: A salesperson has two job offers. Company A offers a weekly salary of $200 plus commission of 10% of sales. Company B offers a weekly salary of $400 plus commission of 5% of sales. What is the amount of sales at which company A's offer is the same as company B's?
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Question 187539: The principal is borrowed and the loans future value, A, at the time t is given. Determine the loans simple interest rate, to the nearest tenth of a percent.
P=$2000,A=$2150,t=1year

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Question 187540: A=$6000,r=8,t=2years
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Question 187540: A=$6000,r=8,t=2years
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Question 187524: Solve the problem: Joe has a collection of nickels and dimes that is worth $6.00. If the number of dimes was doubled and the number of nickels was increased by 6, the value of the coins would be $9.90.
How many dimes does he have?

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Question 187625: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
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Question 187625: Car rental agency A will rent a compact car for $35 per day and an additional charge of $0.24 per mile. Car rental agency B will charge only $0.16 per mile but charges $41 per day. If Adam wanted to rent a car for three days, how many miles would Adam have to drive to make car rental agency B a better bargain?
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Question 187672: To predict averge salary for 2005? 1991 $ 275000 and 2001 $1470,000
I also need to know the average salary for 2010? by using 2001 and 1991 amounts

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Question 187643: I'm not sure how to do this problem. Thanks for your help.
#74. Production
An electronics company has fixed costs of $25,000 per month and a variable cost of $18.65 per 13 inch tv/vcr combination manufactured. (Fised costs are those that occur regardless of the level of production)
a) Write the total monthly costs C as a funciton of the number of units x produced.
b) Use a graphing utility to graph the cost funciton.
c) Use the graph from part b to approximate the number of units that can be produced per;month if total costs cannot exceed $200,000. Verify algebraically. Is this problem better solved algebraically or graphically? Explain.

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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, 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