Questions on Algebra in Finance answered by real tutors!

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Question 1159647: Plastic sheets produced by a machine periodically monitored for possible fluctuations in thickness. If the true variance in thicknesses exceeds 2.25 square milli- meters, there is cause for concern about product quality. Thickness measurements for random sample 10 sheets produced in a particular shift were taken, giving the following results (in millimeters): 226 226 232 227 225 228 225 228 229
a. Find the sample variance.

Click here to see answer by ikleyn(52781) About Me 

Question 1160068: Joseph bought a townhouse in North riding for R700 000.he paid a deposit of R100 000 and managed to secure a loan for the outstanding amount. The term of the loan is 20 years and the interest rate is fixed at 7.75% per year, compounded monthly. Calculate Joseph minimum monthly payment to the nearest cent
Click here to see answer by Theo(13342) About Me 
Question 1160068: Joseph bought a townhouse in North riding for R700 000.he paid a deposit of R100 000 and managed to secure a loan for the outstanding amount. The term of the loan is 20 years and the interest rate is fixed at 7.75% per year, compounded monthly. Calculate Joseph minimum monthly payment to the nearest cent
Click here to see answer by MathTherapy(10552) About Me 

Question 1160087: After one hour your hose has filled the pool 1/3
full. How much longer will it take to completely
fill the pool?
It will take another _______ hours to fill pool.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1160085: Big Ben can dig the
entire ditch network in 6
days. John Stud can dig it in
4 days. Paul Bunyan can
dig it in 3 days. How long
would it take if they all work
together?
They would get the job done in ______ days.

Click here to see answer by josgarithmetic(39617) About Me 
Question 1160085: Big Ben can dig the
entire ditch network in 6
days. John Stud can dig it in
4 days. Paul Bunyan can
dig it in 3 days. How long
would it take if they all work
together?
They would get the job done in ______ days.

Click here to see answer by saw(34) About Me 
Question 1160085: Big Ben can dig the
entire ditch network in 6
days. John Stud can dig it in
4 days. Paul Bunyan can
dig it in 3 days. How long
would it take if they all work
together?
They would get the job done in ______ days.

Click here to see answer by greenestamps(13200) About Me 
Question 1160085: Big Ben can dig the
entire ditch network in 6
days. John Stud can dig it in
4 days. Paul Bunyan can
dig it in 3 days. How long
would it take if they all work
together?
They would get the job done in ______ days.

Click here to see answer by ikleyn(52781) About Me 

Question 1160083: If you and your neighbor use your two hoses to
fill the water truck it will take 4 hours. If he does it
all by himself it will take 7 hours. How long would
it take you all by yourself to fill the water truck?

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Question 1160084: If it takes me 3 hours to clean the entire house
and it would take you 2 hours to clean the entire
house. How much of the entire house would we
clean in one hour working together?

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Question 1160084: If it takes me 3 hours to clean the entire house
and it would take you 2 hours to clean the entire
house. How much of the entire house would we
clean in one hour working together?

Click here to see answer by josgarithmetic(39617) About Me 

Question 1160086: Lance can bike at 12 mph. Greg can bike at 10
mph. Bubba can bike at 8 mph. They need to ride a
combined distance of 200 miles. How long will this
take?
They will have biked a combined distance of 200
miles after _________ hours

Click here to see answer by ikleyn(52781) About Me 
Question 1160086: Lance can bike at 12 mph. Greg can bike at 10
mph. Bubba can bike at 8 mph. They need to ride a
combined distance of 200 miles. How long will this
take?
They will have biked a combined distance of 200
miles after _________ hours

Click here to see answer by josgarithmetic(39617) About Me 

Question 1160095: (a) Let f(x)= sqrt(9+6x^2) Find f ' (x)
(b) Let f(x)= e^sqrt(9+6x^2) Find f ' (x)

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Question 1160093: Let f(x)=(x^3+4x+5)^2
f ' (x)=?
f ' (5)=?

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Question 1160094: Find f ' (x) if f(x)=(4x-5)^3 x (5x^2+8)^3
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Question 1160094: Find f ' (x) if f(x)=(4x-5)^3 x (5x^2+8)^3
Click here to see answer by math_helper(2461) About Me 

Question 1160111: You have $300,000 saved for retirement. Your account earns 10% interest. How much will you be able to pull out each month, if you want to be able to take withdrawals for 25 years?

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Question 1160115: Suppose you want to have $300,000 for retirement in 20 years. Your account earns 5% interest. How much would you need to deposit in the account each month?
Click here to see answer by ikleyn(52781) About Me 

Question 1160117: You have $3,500 on a credit card that charges a 21% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)?

Click here to see answer by Theo(13342) About Me 
Question 1160117: You have $3,500 on a credit card that charges a 21% interest rate. If you want to pay off the credit card in 4 years, how much will you need to pay each month (assuming you don't charge anything new to the card)?

Click here to see answer by MathTherapy(10552) About Me 

Question 1160116: You can afford a $300 per month car payment. You've found a 3 year loan at 4% interest. How big of a loan can you afford?
Click here to see answer by Theo(13342) About Me 

Question 1160144: Sixty students were given a history exam. Their scores are shown below, sorted from smallest to largest.
21 31 34 34 35
36 37 38 39 40
41 41 41 44 45
45 53 65 72 72
72 72 73 75 75
75 76 76 76 76
76 77 77 78 78
79 79 80 80 80
81 81 82 82 82
83 83 83 83 83
83 83 84 85 86
86 88 88 93 94

1) Compute the 5-number summary for this data:





2) Create a histogram of the data. You can create it using software on your computer, using online software, or you can draw it by hand and scan it or take a picture of it. If you can't figure out how to include your histogram in the entry area below, you are welcome to email it to me instead. (Here's a video that shows how to upload images or files into the text editor. The video is for forums, but it works the same way in assessments.)
3) Finally, write a couple sentences describing what conclusions you can draw about performance on the exam from the 5-number summary and the histogram.

Click here to see answer by ikleyn(52781) About Me 

Question 1160077: Sophia receives an invoice for $8000 on May 31. The terms of the invoice are 2/10, n/30. The annual simple interest rate is 4% and the day-count convention is ACT/365.
What is the Present Value (at time t = 0) of paying 8000 on June 30?
What is the annual simple discount rate?

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Question 1160075: Thuan borrows $1,000 at an annual simple interest rate of 9% with an ACT/360 daycount convention. He borrrows the money on May 18 (t = 0) and will repay the loan (plus interest) 180 days later (T = 180 days = 0.5 years).
What is A(0)?
What is t (in years) corresponding to June 1?
What is A(t) (using t from part d) (5 decimal places)

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Question 1160176: 10 boys and 12 girls collected donations for a project.the total amount collected by boy=600>than the girls.if average of boys=100.than girls,how much was collected by two groups.

Click here to see answer by ikleyn(52781) About Me 

Question 1160188: Find the present value of an annuity with periodic payments of $2,000, for a period of 10 years at an interest rate of 6%, compounded semiannually.

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Question 1160189: Mr. Khaild will receive $8,500 a year for the next 15 years from his trust. If a 7 percent interest rate compounded annually is applied, what is the present value of the future payments if first receipt occurs today?
Q3. An annuity makes 25 annual payments of Rs. 1,000 with the first payment coming today. What the future value of this as of 25 years is from now if the interest rate is 9% compounded annually?
Q4. If at the end of each quarter a deposit of Rs. 500 is made in an account that pays 8% compounded quarterly, what will the final amount be after five years?
Q5. Your client is 40 years old and wants to begin saving for retirement. You advise the client to put Rs. 5,000 a year into the stock market. You estimate that the market’s return will be on average of 12% a year. Assume the investment will be made at the end of the year. How much money will she have by age 65 ?
Q7. A company purchased a building and has obtained a Rs. 190,000 mortgage loan for 20 years. The loan bears a compound annual interest rate 16 percent and calls for equal annual installment payments at the end of each year. What is the amount of the annual payment?

Click here to see answer by ikleyn(52781) About Me 

Question 1160226: 1. A costumer recently purchased 16 tickets with seats in either the lower level that costs 205 pesos or upper level that costs 95 pesos. He paid a total of 2,620 pesos for the tickets. How many lower level and upper level tickets did he buy?
2. Tickets are sold at $20 for adults and $10 for students. If the revenue from ticket sales was $12000 and 740 people attended the play, how many adult tickets were sold?�
3. Cris has $4.85 in coins. If he has six more nickels than dimes and twice as many quarters as dimes, how many coins of each type does he have?

Click here to see answer by Boreal(15235) About Me 

Question 1160224: 1. David wants to purchase a new guitar. The cost of a guitar is $299. David has saved $42 for his new purchase. His parents are willing to give him three times what he has saved. On the weekends, David cuts lawns for $20 an hour. How many more hours will David have to work until he has enough money to purchase his guitar?
2. Donna, Chris, and Austin have a total of $93 in their wallets. Donna has $7 more than Chris. Austin has 3 times what Donna has. How much money do they have in their wallets?
3. Ryan has 805 pesos in his pocket consisting of 1-peso coins, 5-peso coins and 20-peso bills. He has
17 more 5-peso coins than 1-peso coins. He also has 6 fewer 5-peso coins than 20-peso bills. How much 1-peso coins, 5-peso coins and 20-peso bill does he have in his pocket?
4. Edgar invests his savings in two ways; some goes into a corporate bond paying 14 % and $12,000 more than three times as much goes into a municipal bond fund paying 3%. If his total annual interest from two investments is $11,860, how much is invested in each?
5. Mark has 300 pesos on his coin purse consisting 5-peso coins and 10-peso coins. The total number
of coins is 39. How many 5-peso coins and 10-peso coins are there in his coin purse?

Click here to see answer by ikleyn(52781) About Me 

Question 1160249: A shop is offering discounts on shirts costing Php 400 each. If Juan Carlos buys 2 shirts, he will be offered a discount of 15% on the first shirt and another 10% discount on the reduced price for the second shirt. How much would one pay for two shirts at this shop?
Click here to see answer by greenestamps(13200) About Me 
Question 1160249: A shop is offering discounts on shirts costing Php 400 each. If Juan Carlos buys 2 shirts, he will be offered a discount of 15% on the first shirt and another 10% discount on the reduced price for the second shirt. How much would one pay for two shirts at this shop?
Click here to see answer by saw(34) About Me 

Question 1160256: Jason has a problem. As a graduation gift, his father offered him either an ₱80,000 cash today or an investment that will give him ₱100,000 two years in the future. Assuming a prevailing interest rate of 12%, which option should Jason choose to maximize the money he can receive?

Click here to see answer by Theo(13342) About Me 

Question 1160257: Nico wants to invest his savings of ₱20,000 today in order to gain more money in the future. Assuming that he invests his money in a time deposit that earns 5% per annum, how much money will he have after 5 years?

Click here to see answer by Theo(13342) About Me 

Question 1160269: Marina had an accident with her car and the repair bill came to $900. She didn’t have any emergency fund money and no
extra money in her monthly budget, so she ended up borrowing from a pay-day loan company. As long as she can pay the
loan back at the end of the 30 day period she won’t be charged any interest, technically. However, she did have to pay an
$18 processing fee per $100 that she borrowed.
The end of the month has arrived and Marina was only able to save up $175 to pay off her pay-day loan of $900. This
means she will have to delay payment on the remaining $725 until next month. Besides the delayed payment fee that she
is charged, she will now have to pay interest on the remaining amount. The APR (annual percentage rate) is 47%, but
the interest is compounded daily.
What is the effective interest rate that Marina will actually be paying?

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Question 1160312: Find dy/dx by implicit differentiation, where 4x^6+3x^4y-4xy^6=6.
dy/dx=?

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Question 1160312: Find dy/dx by implicit differentiation, where 4x^6+3x^4y-4xy^6=6.
dy/dx=?

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Question 1160295: Car brands Toros and Sahin are guaranteed for 1 year. In a random sample of 50 cars of brand Toros, 12 were observed to fail before the guarantee period ended. An independent random sample of 60 brand Sahin cars also revealed 12 failures during the guarantee period.
a) Estimate the true difference (Toros-Sahin) between proportions of failures during the guarantee period, with 98% confidence interval. Explain which brand has a better quality.
b) For car brand Toros, test, at the 5% level, the hypothesis that exactly 25% of all Toros cars population would fail before the guarantee period ended.

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Question 1160313: For the equation given below, find dy/dx.
6x^3y^2-4x^2y=5

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Question 1160315: Let f(x)= (4x-5)^4/(7x+5)^5. Find f'(x)
Click here to see answer by MathLover1(20849) About Me 
Question 1160315: Let f(x)= (4x-5)^4/(7x+5)^5. Find f'(x)
Click here to see answer by solver91311(24713) About Me 

Question 1160326: A monthly salary is $1371. It is given an increase of 8.3%. After the first increase, it receives a second increase of 10%. What is the new monthly salary after both increases? Round to the nearest cent.

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Question 1160331: Calculate the next term in the arithmetic sequence that increases by 22, if the current term is 96.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1160325: Calculate the next term in the arithmetic sequence that increases by 22, if the current term is 96.


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Question 1160333: A person works and earns $3360 dollars but on a pay stub pays 24% to tax. How much money is left over after taxes? Round your answer to the nearest cent.
Click here to see answer by ikleyn(52781) 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, 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