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

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Question 1126544: Cardo invests $6,000 at the end of each month for 10 months. The annual interest rate Cardo gets is 12% compounded monthly. What is the final value of Cardo's investment at the end of the 10th month on this annuity?
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Question 1126389: The monthly payment p on a mortgage varies directly with the amount borrowed B. If the monthly payment on a 30 year mortgage is $5.75 for every $1000 borrowed, find a function p=p(B) that relates the monthly payment p to the amount borrowed B for a mortgage with the same terms. Then find the monthly payment p when the amount borrowed B is $225,000.
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Question 1126633: Bennett purchased some beef and some chicken for a family barbecue. The beef cost $5.70 per pound and the chicken cost $3.20 per pound. He brought a total of 11 lb of meat and spent $47.70. How much of each type of meat did he purchase?
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Question 1126632: Two video games and one DVD can be rented for $14.40. Five video games and three DVDs can be rented for $37.35. Find the cost to rent one video game and the cost to rent one DVD.
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Question 1126631: Tanya brought five adult tickets and one child's ticket to a movie for $31.80. Li brought two adult tickets and five children's tickets for $23.30. Find the cost of one adult ticket and the cost of one children's ticket.
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Question 1126625: In finance the notion of expected value is used to analyze investments for which the investor has an estimate of the chances associated with various returns (and losses). For example, suppose you have the following information about one of your investments: With a probability of 0.8, the investment will return 20 cents for every dollar you invest, and with a probability of 0.2, the investment will lose 10 cents for every dollar you invest. The expected rate of return for this investment is calculated the way we calculate the expected value of a game: Multiply the probability of each outcome by the amount you earn (or by minus the amount if you lose) and add up these numbers.
Calculate the expected rate of return for the investment described above.

%

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Question 1126706: A child is collecting state quarters and new $1 coins. If she has a total of 24 coins, and the number of quarters is 8 more than the number of dollar coins, how many of each type of coin does she have?
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Question 1126786: Jacques borrows a total of $13,500. Part of the money is borrowed from a bank that charges 12% simple interest per year. Jacques borrows the remaining part of the money from his sister and promises to pay her 5% simple interest per year. If Jacques' total interest for the year is $1165, find the amount he borrowed from each source.
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Question 1126876: Jane decides she needs $400000 on her 50th birthday so she starts so she starts saving the month after her 20th birthday. She decides to invest the same amount at the beginning of each month returning 9% p.a. compounded monthly. How much will she need to invest each month?
Click here to see answer by Theo(13342) About Me 

Question 1126997: Bennett purchased some beef and some chicken for a family barbecue. The beef cost $5.90 per pound and the chicken cost $4.30 per pound. He brought a total of 19 lb of meat and spent $96.10. How much of each type of meat did he purchase?
He brought _____ lb of beef.

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Question 1127000: A child is collecting state quarters and new $1 coins. If she has a total of 24 coins, and the number of quarters is 8 more than the number of dollar coins, how many of each type of coin does she have?
She has____quarters

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Question 1127000: A child is collecting state quarters and new $1 coins. If she has a total of 24 coins, and the number of quarters is 8 more than the number of dollar coins, how many of each type of coin does she have?
She has____quarters

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Question 1126948: The local clothing store marks up the price that
it pays to the clothing manufacturer by 50%. If
the selling price of a pair of jeans is $101, how
much did the clothing store pay for the jeans?

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Question 1126998: How many gallons of a 20% antifreeze solution and a 15% antifreeze solution must be mixed to obtain 25 gal of 17% antifreeze solution? Round to the nearest gallon, if necessary.
____gal of the 20% solution is needed.

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Question 1127044: Hi!
I have a college algebra problem and I don't know how to set it up. The problem says:
A shopper spends half her money in the first shop she visits. In the second shop she spends 1/3 of what remains. In the third shop she spends $25. She then has $15 left. How much had she at the start?
Thank you!
-Maddie

Click here to see answer by josgarithmetic(39614) About Me 
Question 1127044: Hi!
I have a college algebra problem and I don't know how to set it up. The problem says:
A shopper spends half her money in the first shop she visits. In the second shop she spends 1/3 of what remains. In the third shop she spends $25. She then has $15 left. How much had she at the start?
Thank you!
-Maddie

Click here to see answer by MathLover1(20849) About Me 
Question 1127044: Hi!
I have a college algebra problem and I don't know how to set it up. The problem says:
A shopper spends half her money in the first shop she visits. In the second shop she spends 1/3 of what remains. In the third shop she spends $25. She then has $15 left. How much had she at the start?
Thank you!
-Maddie

Click here to see answer by greenestamps(13196) About Me 

Question 1127175: A new television depreciates
;$130 per year, and it is worth $290 after four years. Find a function that describes the value of this television, if x is the age of the television in years.

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Question 1127190: A cost function is defined as c (x )= (2/3 ×^3)-(5/2 x^2)-3x +32 where x is the number of units sold. Find the number of units to be sold to minimize cost
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Question 1127195: an $8000 pension fund is invested in two parts yielding 5% and 8% interest per year, respectively. if the total annual interest is $520 how much is invested in each part
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Question 1127195: an $8000 pension fund is invested in two parts yielding 5% and 8% interest per year, respectively. if the total annual interest is $520 how much is invested in each part
Click here to see answer by ikleyn(52756) About Me 

Question 1127199: You need $15,000 in 2.5 years. How much should you invest today if you get 8% compounded semiannually? (solve using compound interest formula)
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Question 1127198: A bank pays 5.75% compounded monthly. What’s the effective interest rate? (solve using compound interest formula)
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Question 1127205: When Jose was born, his grandmother deposited $8000 into an account paying 6% interest,
compounded quarterly. How much money will be available to use for college tuition 18 years
later?

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Question 1127265: Jean invested a sum of money, compounded quarterly. After 3 years, her investments grew by 60%. Find the interest rate per annum correct to 3 significant figures.
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Question 1127286: A jar contains half dollars and quarters there are 30 coins in all the total value of coins is $8.75 how many quarters are in the jar
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Question 1127300: At a Performing Arts Center, seats in the orchestra section cost $18 and seats in the balcony cost $12.If they were 120 seats sold for one performance, for a total revenue of $1920, how many balcony seats were sold?
Click here to see answer by math_helper(2461) About Me 

Question 1127391: Say that a business determines its profit function is: P ( x ) = x^2 - 6 x + 1 where X is the number of units produced in thousands and P ( x ) is the profit made in thousands of dollars.
Does this mean that the business should produce 3,000 units to maximize its profit

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Question 1127391: Say that a business determines its profit function is: P ( x ) = x^2 - 6 x + 1 where X is the number of units produced in thousands and P ( x ) is the profit made in thousands of dollars.
Does this mean that the business should produce 3,000 units to maximize its profit

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Question 1127391: Say that a business determines its profit function is: P ( x ) = x^2 - 6 x + 1 where X is the number of units produced in thousands and P ( x ) is the profit made in thousands of dollars.
Does this mean that the business should produce 3,000 units to maximize its profit

Click here to see answer by ikleyn(52756) About Me 

Question 1127419: If a salesperson gets a commission of 7.2%, how much will he receive on sales of $18,500?
Click here to see answer by Boreal(15235) About Me 

Question 1127430: At one store, 5 pairs of jeans and 2 sweatshirts costs $213, while 3 pairs of jeans and 4 sweatshirts costs $195. Find the cost of one sweatshirt.
A. $21
B. $35
C. $33
D. $24

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Question 1127461: A manufacturer produces a product at a cost of $23.80 per unit. The manufacturer has a fixed cost of $900.00 per day. Each unit retails for $36.00. Let x represent the number of units produced in a 5-day period.
(a) Write the total cost C as a function of x.
C(x) =
(b) Write the revenue R as a function of x.
R(x) =
(c) Write the profit P as a function of x. (Hint: The profit function is given by
P(x) = R(x) − C(x).)
P(x) =

Click here to see answer by stanbon(75887) About Me 

Question 1127473: Given f(x) = 3x − 1,find the following.
f(9)=
f(-1)=
f(0)=
f(2/3)=
f(k)=
f(k+9)=

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Question 1127474: Given f(x) = 3x − 1,find the following.
f(9)
f(-1)
f(0)
f(2/3)
f(k)
f(k+9)

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Question 1127474: Given f(x) = 3x − 1,find the following.
f(9)
f(-1)
f(0)
f(2/3)
f(k)
f(k+9)

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Question 1127459: After five years of earning interest at an annual rate of 3%, an investment has earned $950 in interest. To the nearest whole dollar, determine the amount of the initial investment. Show all work for full credit.

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Question 1127476: Four out of five college students work while studying for their degrees. There are about 16,000 college students in Brevard County, Florida. At this rate, how many of these 16,000 students would you expect work? Use a proportion to set up and solve this problem.

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Question 1127476: Four out of five college students work while studying for their degrees. There are about 16,000 college students in Brevard County, Florida. At this rate, how many of these 16,000 students would you expect work? Use a proportion to set up and solve this problem.

Click here to see answer by ikleyn(52756) About Me 

Question 1127515: Ace Hardware sells boxes of wrenches ($100) and hammers ($300). Howard ordered 40 boxes of wrenches and hammers for $8,400. How many boxes of hammers are in the order?
Click here to see answer by ikleyn(52756) About Me 

Question 1127514: Best Co. sells four times as many dishwashers as Ace Company. The difference between their sales is 96 dishwashers. How many dishwashers did Best Co sell?
Click here to see answer by ikleyn(52756) About Me 

Question 1127516: Styline Menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the total order amounted to $9,862.50 for 375 shirts, how many short-sleeve were ordered?
Click here to see answer by addingup(3677) About Me 
Question 1127516: Styline Menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the total order amounted to $9,862.50 for 375 shirts, how many short-sleeve were ordered?
Click here to see answer by greenestamps(13196) About Me 

Question 1127513: Styline Menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the total order amounted to $9,862.50 for 375 shirts, how many short-sleeve were ordered?
Click here to see answer by addingup(3677) About Me 

Question 1127512: A local Dominos sold a total of 1,600 small pizzas ($9) and pasta dinners ($13) during the Super Bowl. How many pizzas did Dominos sell if total sales were $15,600?
Click here to see answer by josgarithmetic(39614) About Me 

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, 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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, 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