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

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Question 898610: A consumer electronics sales person earns a base salary of $1500 per month and a commission of 8% on the amount of sales he makes. one month he received a $2060 paycheck. find the amount of his sales for the month

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Question 898674: Hello everyone, I really just need some help in determining the formula for this problem- Suppose that $3500 is placed in an account that pays 11% interest compounded each year.Assume that no withdrawals are made from the account. 1) find the amount in the account at the end of 1 year. 2)find the amount in the account at the end of 2 years.
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Question 898789: larry has an annual return of $213 from $3000 invested at simple interest, some at 5% the rest at 8%. how much was invested at each rate?
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Question 898789: larry has an annual return of $213 from $3000 invested at simple interest, some at 5% the rest at 8%. how much was invested at each rate?
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Question 898953: A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute
for all calls. If Joe's phone bill was $66 under this promotional deal, how many minutes of phone calls did he make? Round to the nearest integer, if necessary.

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Question 898956: Suppose you invest money in two accounts. One of the accounts pay 8% annual interest, whereas the other pays 9% annual interest. If you have $8,000 more invested at 9% than you invested at 8%, how much do you have invested in each account if the total amount of interest you earn in a year is $1,060?

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Question 899072: Investment: Suppose that you and 5 friends bought equal shares of an investment for a total of $12,000 and then sold it later for only $11,160. How much did each person lose?

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Question 899072: Investment: Suppose that you and 5 friends bought equal shares of an investment for a total of $12,000 and then sold it later for only $11,160. How much did each person lose?

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Question 899168: A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18. If s represents the cost of 1 shirt, which equation could you use to find the cost of 1 shirt?
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Question 899153: you invested $18,000 in two accounts paying 5% and 9% annual interest. if the total interest earned for the year was $1380, how much was invested at each rate?

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Question 899152: A professor wants to supplement her pension with investment interest. If she invests $27,000 at 5% interest, how much more would she have to invest at 9% to achieve a goal of $2,250 per year in supplemental income?
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Question 899235: You invested $27,000 into two accounts. One paying 3% annual interest, the other paying 4% annual interest. If the total interest earned for the year was $870, how much was invested into each account at each rate?
Explain, and please show work?

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Question 898318: (1 pt) You wish to invest $1300 over one year in two accounts paying 5% and 6% annually. How much should you invest in each to earn $70?
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Question 899353: The annual interest on a $15,000 investment exceeds the amount of interest earned by a $1000 investment by $410. The $15,000 is invested at a .4% higher rate of interest than the $1000 investment. What is the rate of interest for each investment?
Your help is appreciated! I can't seem to figure it out!

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Question 899353: The annual interest on a $15,000 investment exceeds the amount of interest earned by a $1000 investment by $410. The $15,000 is invested at a .4% higher rate of interest than the $1000 investment. What is the rate of interest for each investment?
Your help is appreciated! I can't seem to figure it out!

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Question 899336: invested 10000$ for 1 year party at 7% and part 6.25% if she earned a total interest of 656.50$ how much was invested at each rate?
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Question 899334: Derek sold walking sticks. Had he charged $10 extra for each stick he would have made $1,800. However, had he sold 10 more sticks at the original price he would have made $2,000.
a) How many sticks did he sell?
b) How much was each stick?

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Question 899334: Derek sold walking sticks. Had he charged $10 extra for each stick he would have made $1,800. However, had he sold 10 more sticks at the original price he would have made $2,000.
a) How many sticks did he sell?
b) How much was each stick?

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Question 899358: Juanita has 22000 to invest in two accounts that pay simple interest on an annual basis. one account pays 3% in simple interest, and other pays 6% simple interest how much would she have to invest in each account to earn a total interest of $810 after one year?
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Question 899371: If you invest R10 000 at 10% interest now, how mush will it be worth after 20 years?
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Question 899459: Ashley has $120,000 to invest and decides to put some in a CD that earns 5% interest per year and the rest in a low-risk stock that earns 1%. How much did she invest in each to earn $4,400 interest in the first year?
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Question 899471: Determine whether the discriminate is positive, negative, or zero, and indicate the number and type of root to expect. Do not solve.
x^2-8x+16=0

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Question 899463: Olive wants to invest $15,000 with the goal of earning 10% interest. She wants to put some of the money in an investment that has been earning 7% a year and the rest of the money in an investment that typically earns 11% a year. How much money should be invested at 11% interest for Olive to obtain her goal of an overall 10% interest?
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Question 899473: Determine whether the discriminate is positive, negative, or zero, and indicate the number and type of root to expect. Do not solve.
-3x^2+5x-9=0

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Question 899467: Solve using the quadratic formula:
t^2+8t=16

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Question 899568: Maria bought 80 stamps at the post office in 33¢ and 25¢ denominations. If she paid $24 for the stamps, how many of each denomination did she buy?
Here is what I tried:
x=33¢ denomination
y=25¢ denomination
x+y=80
x=-y+80
33(x)+25(y)=24
33(-y+80)+25y=2400
-33y+(-2640)+25y=2400
Added 2640 to both sides
8y=50.4
Divide both sides by 8
y=6.30
x=-6.30+80
x=50.4
which Ido not think is right but I can not figure what I am doing wrong :(

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Question 899568: Maria bought 80 stamps at the post office in 33¢ and 25¢ denominations. If she paid $24 for the stamps, how many of each denomination did she buy?
Here is what I tried:
x=33¢ denomination
y=25¢ denomination
x+y=80
x=-y+80
33(x)+25(y)=24
33(-y+80)+25y=2400
-33y+(-2640)+25y=2400
Added 2640 to both sides
8y=50.4
Divide both sides by 8
y=6.30
x=-6.30+80
x=50.4
which Ido not think is right but I can not figure what I am doing wrong :(

Click here to see answer by richwmiller(17219) About Me 

Question 899515: You invested a total of $25,000 at 3% and 4 1/2% simple interest. During one year, the two accounts earned $900. How much did you invest in each account?
"thank you so much. i really want to understand this investments."

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Question 898954: You invested a total of $35,000 at 3% and
4.5%
simple interest. During one year, the two accounts earned $1350. How much did you invest in each account?

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Question 898723: At the city museum, child admission is $5.40 and adult admission is $9.20. On Friday,172 tickets were sold for a total sales of $1221.40. How many child tickets were sold that day?
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Question 899731: Joe received a bonus of $20000 at the end of the year for exceptional performance on the job. He decides to invest the money into two different investment vehickles, one paying 5% interest, the other 6.5% interest. At the end of the year, the total interest earned from both accounts, together, was $1240. Find the amount invested in each account.
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Question 899766: pam earns $468 per year in simpler interest by investing part of her money at 8% and the rest at 6%. if she invests $2000 more of her money at 8% than she invests at 6%, how much money did she invest at 8%?
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Question 899881: The annual interest on a $9000 investment exceeds the interest earned on a $6000 investment by $135. The $9000 is invested at a 0.5% higher rate of interest than the $6000. What is the interest rate of each investment?
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Question 899902: f the annual interest rate on a credit card statement is 16.8%, what is the monthly interest rate? Round your solution to two decimal places.
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Question 899973: Wendy was awarded a volleyball scholarship to the University of Michigan, so on graduation her parents gave her the $20,000 they had saved for her college tuition. She opted to invest some money in a privately held company that pays 10 % per year and evenly split the remaining money between a money market account yielding 2 % and a high-risk stock that yielded 40 %. At the end of the first year she had $23,320 total. How much did she invest in each of the three?
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Question 900059: Juanita has 28,000 to invest in two accounts that pay simple interest on an annual basis. One account pays 5% in simple interest and the other account pays 2%. How much would she have to invest in each account to earn a total interest of $830.00 after one year?
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Question 899630: Two investments totaling $56,500 produce an annual income of $2480. One investment yields 8% per year, while the other yields 2% per year. How much is invested at each rate?
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Question 900219: You invested $7000 in two accounts paying 7% and 6% annual interest, respectively. If the total interest earned for the year was $433, Let x denote the amount of money invested at 7%. Find an expression in terms of x for the amount invested at 6%.
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Question 900237: the financial manager of a college newsletter determine that 1000 copies of the newsletter will be sold if the price is 50 cents and that the number of copies sold decrease by 10 for each 1 cent added to the price. What price will yield the largest gross income from sales and what is the largest gross income?
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Question 900288: following an investigation into finance fraud ,a daycare centers enrolment decreased by 24% to 49 students.what was the daycare centers enrolment before the investigation
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Question 900292: trevor bought a diamond pendant with a purchase price of 363.when sales tax was added ,he paid an overall price of 392.04.what was the tax rate
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Question 900416: "A taxi driver would like to earn $5,000 per year in supplemental income from an inheritance of $80,000. If the driver invests $20,000 in a mutual fund paying 8%, what rate must he earn on the remainder to achieve his goal?"
I'm just having trouble putting the information given into an equation to be solved.

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Question 900272: a teacher purchased 69 tickets cost 9 $ for children 12 for adults she paid 678$ how many of each were sold
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Question 900538: Marion receives a monthly base salary of $1000. On the first $10,000 of sales above her monthly quota of $20,000, she is paid a commission of 8%. On any additional sales, the commission rate is 10%. What were her gross earnings for the month of August, in which she had sales amounting to $38,670?
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Question 900538: Marion receives a monthly base salary of $1000. On the first $10,000 of sales above her monthly quota of $20,000, she is paid a commission of 8%. On any additional sales, the commission rate is 10%. What were her gross earnings for the month of August, in which she had sales amounting to $38,670?
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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