Questions on Algebra in Finance answered by real tutors!

Tutors Answer Your Questions about Finance (FREE)

Question 1198995: If (1-i)(3+i) = a + bi. What is the value of a + b
Click here to see answer by MathLover1(20849)

Question 1198994: Which of the following is equal to (2+√−9 )(−1+ √−4 ) written in the form of a + bi ?
Click here to see answer by MathLover1(20849)

Question 1198994: Which of the following is equal to (2+√−9 )(−1+ √−4 ) written in the form of a + bi ?
Click here to see answer by MathTherapy(10552)

Question 1198994: Which of the following is equal to (2+√−9 )(−1+ √−4 ) written in the form of a + bi ?
Click here to see answer by math_tutor2020(3817)

Question 1199006:
Click here to see answer by josgarithmetic(39617)

Question 1199005: The figure below is a trapezium in which AB=40 cm, BC=25 cm, CD=12 cm and AD=17 cm. Calculate the area of the trapezium.

Click here to see answer by greenestamps(13200)

Question 1199007: Draw the graph of y=cos3x-4sin x for 0°≤x<360°. Use your graph to solve the equation 3cos x-4sinx=2.5.
Click here to see answer by math_tutor2020(3817)

Question 1199008: The figure below shows a vertical cross - section of a hemispherical bowl centre o. The radius OA of the bowl is 15 cm. The bowl contains water to a depth of 6 cm. Calculate the diameter of the water surface in the bowl.

Click here to see answer by ikleyn(52781)

Question 1199012: In the figure below, AXC and BXD are arcs with centres B and A respectively. ABCD is a square of side 14cm. Calculate the area of the shaded region.

Click here to see answer by ikleyn(52781)

Question 1199018: The figure below shows two sectors in which CD and EF are arcs of concentric circles, centre O.

Click here to see answer by ikleyn(52781)

Question 1199017: The unshaded region in the figure below shows a crescent formed by two circles of radii 6 cm and 9 cm with centres A and B respectively. Calculate the area of the crescent given the angle subtended at B is 60.

Click here to see answer by ikleyn(52781)

Question 1199021: Calculate the distance between P and R via Q given that OP=4i-2j ,OQ=-i+5j and OR=-4i-4j
Click here to see answer by ikleyn(52781)

Question 1199032: A van has an 80-L fuel tank and a fuel efficiency rating of 12.2 L / 100 km.
How far can the van travel on one t full tank of fuel?
How much fuel would the van use on a 325-km trip?
If the cost of gasoline is $1.55/L, how much does it cost to fill up the tank of this van?

Click here to see answer by ikleyn(52781)

Question 1199033: Paul made two investments:
A: $4,000.00 at 4.5% compounded semi-annually, for 3 years;
B: $3,500.00 at 5.2% simple interest, for 3 years.
Which investment earns the highest interest? By how much?
What is the total interest earned?
Click here to see answer by ikleyn(52781)

Question 1199014: In the figure below, ADC is a chord of a circle centre O and passing through the points A, B and C. BD is a perpendicular bisector of the chord AC. AD=8 cm and BD=2 cm. Calculate the area of the minor segment ABCD.

Click here to see answer by Alan3354(69443)

Question 1199051: A bank charges $7.95 for the first 6 transactions per month, plus $0.69 for each additional transaction. Determine the service charge for 10 transactions.

Click here to see answer by ikleyn(52781)

Question 1199059: Hello, I am having trouble with using a TVM solver. I am not sure if I'm getting the right answers. I'd love it if someone could help me. The question is:
Use a TVM Solver:
A) $2,500.00 investment earns interest at 7.5% compounded monthly. How long will it take it to double?
B) At what interest rate should $1,500.00 be invested, if you want to have $2,000.00 in 10 years compounded daily?

Click here to see answer by math_tutor2020(3817)

Question 1199067: If f(3x/x-4) = x² + x + 1, what is the value of f(5)?
Click here to see answer by ikleyn(52781)

Question 1199028: You have $1200 to invest in a bank account with interest rate of 4.5% compounded monthly. After how many years will your account total pass $2200.
The correct answer is one of the following. Which one is correct?
A) 12
B) 13
C) 14
D) 15
Click here to see answer by MathLover1(20849)

Question 1199132: Suppose you put $ 525 a month for retirement into an annuity earning 7% compounded monthly. If you need $ 350000 to retire, in how many years will you be able to retire?
Years =
Click here to see answer by ikleyn(52781)

Question 1199129: Suppose you want to purchase a $ 195000 house. If you put 20% down and finance the rest in a 15 year mortgage at an interest rate of 4%, what will your monthly payments be?
Monthly payment =
Click here to see answer by Theo(13342)

Question 1199131: Determine the monthly payment if you take out a loan for $ 230000 with an annual interest rate of 7% and the term of the loan is 20 years.
Monthly Payment =
Click here to see answer by Theo(13342)

Question 1199137: Tom bought 50 shares of Mactec stock at 685.00 pesos per share and paid 956.00 pesos commission. Find Tom's total investment.
Click here to see answer by ikleyn(52781)

Question 1199171: Find the values of θ between 0° and 180° such that 2cos 3θ =3sin 3θ
Click here to see answer by math_helper(2461)

Question 1199171: Find the values of θ between 0° and 180° such that 2cos 3θ =3sin 3θ
Click here to see answer by Alan3354(69443)

Question 1199171: Find the values of θ between 0° and 180° such that 2cos 3θ =3sin 3θ
Click here to see answer by ikleyn(52781)

Question 1199170: Simplify and rationalize the expression giving your answer in the forma+b√c, where a, b and c are constants
11/(7-√3)-5/(7+√3)

Click here to see answer by ankor@dixie-net.com(22740)

Question 1199172: Find the image of a point P (-5,-5) under a transformation T=UV where U is half- turn about centre (-2, 1) and V is a translation vector ■(3@-2)
Click here to see answer by greenestamps(13200)

Question 1199212: A clothing manufacturing company makes two types of jogging pants, design A and design B. the design A jogging pants sells to the retail stores for Php2500 each and the design B jogging pants for Php2100. The cost for manufacturing each design A is Php1750 and the cost of each design B is Php1200. If the company makes no more than 120 jogging pants a week and budgets no more than Php150000 per week, how many of each type should be made to maximize profit?
Click here to see answer by ikleyn(52781)

Question 1199213: A candy manufacturer makes two types of special candy, say A and B. Candy A consists of equal
part of dark chocolate and caramel and Candy B consists of two parts of dark chocolate and one
part of walnut. The company has in stock 430 kilograms of caramel, 360 kilograms of dark
chocolate, and 210 kilograms of walnuts. The company sells Candy A for P285 and Candy B for
P260 per kilograms. How much of each candy should the manufacturer produce to maximize profit?
Click here to see answer by Shin123(626)

Question 1199253: The positive integers greater than 3 are arranged in rows and columns as illustrated. In which column is the number 5018?
https://ibb.co/G5y6tR3
There is a solution by math_helper here:
https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.1171707.html
But it is literally just a procedure on how to solve and makes ABSOLUTE NO SENSE TO ME OR ANY STUDENT WHO NEEDS TO 'SHOW [THEIR] WORK'.
Can someone please explain how and why this solution works, and what it is even achieving with the modulos 12?
Thanks.
Click here to see answer by math_tutor2020(3817)

Question 1199290: The number that is seven-eights of the way along the number line from -8 3/7 to -4 1/3 is
a) -5 19/24 b) -5 5/24 c) -5 13/84 d) -4 71/84 e) -4 2/21
Click here to see answer by MathLover1(20849)

Question 1198836: Find the length of the loan in months, if $600 is borrowed with an annual simple interest rate of 9% and with $681 repaid at the end of the loan.
Length of the loan = __________ months
Click here to see answer by Theo(13342)

Question 1198909: Suppose that your unsubsidized Stafford loans plus accumulated interest total $ 35000 at the time you start repayment, the interest rate is 6% APR, and you elect the standard repayment plan of a fixed amount each month for 10 years. What is your monthly repayment?
Repayment amount =
How much will you pay in interest?
Interest paid =
Click here to see answer by Theo(13342)

Question 1199010: Three points are on the circumference of a circle centre O. BC is an arc centre O, radius OB=OC=10 cm and angle BAC=60°.Taking π to be 3.142, calculate:
(a) The perimeter of ABC to 2 decimal places.
(b) The area of ABC to 2 decimal places.

Click here to see answer by Alan3354(69443)

Question 1198837: Kyle invests in an account earning 4.5% interest compounded continuously. How long will it take to double his investment?
Doubling time in years =
Click here to see answer by Theo(13342)

Question 1199138: A $200000 bond, paying interest at 8 1/2% was bought at $160000 plus $200 commission. What is the rate of income on the investment?
Click here to see answer by Theo(13342)

Question 1199360: Art wants to know how much he'll have to invest today to receive an annuity of $8,000 for three years if interest is earned at 10% annually.
Click here to see answer by Theo(13342)

Question 1198908: Suppose that your unsubsidized Stafford loans plus accumulated interest total $ 33000 at the time you start repayment, the interest rate is 6% APR, and you elect the standard repayment plan of a fixed amount each month for 10 years. What is your monthly repayment?
Repayment amount =
Click here to see answer by Theo(13342)

Question 1199380: 9) The demand equation for a manufacturing product is p=20-0.25q, where q is the number of units and p is the price per unit.

(a) Write the Total Revenue (TR), Average Revenue (AR) and Marginal Revenue (MR) equations. (2 marks)
(b) At what value of q will there be the total revenue at its maximum? (4 marks)
(c) What price should the firm charge to achieve this maximum total revenue? (2 marks)
(d) What is the maximum total revenue? (2 marks)
Click here to see answer by ikleyn(52781)

Question 1199379: The demand and supply functions are given by:
P=100-2Qd, and P=20+2Qs respectively, where P, Qd, and Qs represent the prices, quantities demanded, and quantities supplied.
(Prices are measured in € and Quantities in Units)
i. Find the equilibrium point algebraically and graphically.
ii. Calculate and explain consumer surplus, producer surplus and total surplus.
Click here to see answer by ikleyn(52781)

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