Newest questions and responses by MathMate
  1. Precedence rules for the algebra community

    Precedence of operators In simple algebra, there is a set of precedence (priority) of operations that should be respected in order that everyone evaluates mathematical expressions in the same way. Although these rules have been taught in elementary school

    asked on September 2, 2014
  2. UOS

    Pseudocode: read Capacity, MilesPerGallon MaximumRange:=Capacity*MilesPerGallon print "Maximum Range = ", MaximumRange

    asked on May 17, 2014
  3. To Debela Duguma

    Your question tucked at the end of another post was probably lost. Post the complete question as a new post if you would like help.

    asked on July 23, 2013
  4. How to get quick responses to your math questions

    Math is a wide subject, ranging from K to 11, college and university. Then there is algebra, trigonometry, geometry, arithmetic, calculus, number theory, ... etc. Not all teachers answer all math questions (many do). If you would give a little more detail

    asked on May 25, 2013

    Your geometry problem of yesterday has been answered.

    asked on May 19, 2013
  6. Cal3 - to Lucy

    See: for response to previous question on maximum/minimum.

    asked on February 29, 2012
  7. To Francesca and James

    I have added comments to your solution of the inclusion/exclusion problem at the end of the original post: Feel free to go back and check it out.

    asked on April 13, 2011
  8. To DrBob222

    The math symbols are very easy to make, although they are not very user-friendly. Basically, we can type the & sign, immediately followed by a # sign and then the unicode number in decimal (as opposed to hexadecimal), and terminated with a ;. For example,

    asked on June 13, 2010
  9. French - To Anna

    Mme Sra is either not available or she is working on your text. You write very well, despite a few grammatical and syntax errors many of which you could probably avoid. To get you started, I enclose a few to help you with self corrections. Do look for

    asked on December 16, 2009
  10. Math-6-grade (Anonymous)

    Sorry Anonymous that I deleted your post by mistake, but here's the answer to the question: "there are four posts on each side of a square fenced-in are. How many posts are there in all?" The corner posts are counted for both of the adjacent sides. So the

    asked on December 3, 2009
  11. ToGnozahs-Continuation of thread

    I don't know if there is a limit on the length of the thread. My posts don't seem to go in any more to: The correct formulas are: F = C*9/5 + 32 C = (F-32)*5/9 The graduations are wider apart on the C scale,

    asked on September 27, 2009
  12. test

    asked on May 31, 2009
  1. physics

    Please describe what you see in the figure, because we don't.

    posted on August 13, 2018
  2. Physics

    Acceleration due to gravity: g=9.81 m/s^2 Upwards acceleration : a=2 m/s^2 Tension in cable T= 6000 N Let m=mass of elevator T=mg+ma = m(g+a) solve for m

    posted on August 13, 2018
  3. Economics

    See response to previous question.

    posted on July 23, 2018
  4. Economics

    Since it is a monopolistic product, it will be assumed everything made will be sold, and at the predicted price. p = selling price Quantity sold=quantity manufactured = q(p) =60-p/2 Cost, C = 60 at all sales volumes Profit in terms of price, p P(p)=

    posted on July 23, 2018
  5. Statistics

    Assuming the worst case of the point estimate of 50% (i.e. 50% participation), and n=size of sample Margin of error = z1-α * standard error of worst case point estimate = z95% * sqrt(0.5(1-0.5)/n) =1.96 * 0.5/sqrt(n) Equate to given margin of error of

    posted on July 23, 2018
  6. Algebra

    Using the definition of logarithms y=loga(x) .......(1a) ≡ ay = x .............(1b) Put x=11 in (1a), log(x) is understood to be base 10, so a=10, y=1.0414 [1a] 1.0414 = log10(11) By the definition of logarithms, (1a) is equivalent to (1b), so

    posted on July 23, 2018
  7. Algebra

    Assuming you mean: Given that loga(7) = 0.845, and loga(2) = 0.301, find loga(343). Using the rule of logarithm: loga(xn) = n*loga(x) .............(1) From 7^3=343, we substitute in (1) x=7, n=3, so loga(343) =loga(73) = 3*loga(7) = 3*0.845 = ?

    posted on July 23, 2018
  8. maths

    Is the question actually (note punctuation and parentheses) the following? if n varies inversely as kv/(k+v), and n is equal to 16 when k=4 v=8, find the relationship between k v and n.

    posted on July 23, 2018
  9. Algebra

    One of the rules of logarithm is log(a)+log(b) = log(ab)........................(1) This means that the logarithm of a product is the sum of the logarithms of the multiplicant and multiplier. Since 4x is a product of 4 * x Which do you think is the right

    posted on July 23, 2018
  10. Maths

    10% gives $889 after one year. 15% gives $8890*0.15=$1333.5 after one year. So the annual interest is a minimum of $889. If only $560 was earned after one year, someone got short-changed, sorry to say.

    posted on July 23, 2018
  11. math

    Given equation: (x+1/x)² - 14(x+1/x) = 72 ...............(1) Use the substitution u=x+1/x .............................................................................(1a) then (1) becomes u² - 14u -72 = 0 .....................................(2) Factor

    posted on June 29, 2018
  12. Science

    In human diploid cells, there are 23 homologous sets of two chromosomes (=46). Each chromosome is composed of one DNA molecule. In the replication stage, each chomosome is duplicated into two chromatids (two DNA molecules), but are still attached by the

    posted on June 16, 2018
  13. Math

    Given: purchase price = 320,000 down payment = 8% mortgage bought down (to 6%) with 3 points (3%). Term, n= 30 years rate, i=6% per annum = 6%/12 = 0.005 compounding frequency = monthly (ASSUMED). Solution: Down payment = 8% * 320,000 = 25,600 Loan, P =

    posted on May 15, 2018
  14. Physics

    This comparison exercise provides an analogy between - water flow with electric current (electron flow) - mechanical energy (kinetic energy) with electrical potential energy - water pump and battery Please give it a try by substitution of the analogies and

    posted on March 19, 2018
  15. Algebra

    If we add up the number of jelly beans of the 10 listed students, we have 95 jelly beans. The average number being 10 for each student, and there are 10+Leo=11 students, so the total number of jelly beans is 11*10=110. Number of jelly beans Leo received

    posted on March 19, 2018
  16. Math

    Number of ways of choosing 3 distinct kinds of rolls for first guest =(3/9*3/8*3/7)*(3!) =9/28 Number of ways of choosing 3 distinct kinds of rolls for second guest =(2/6*2/5*2/4)*3! =2/5 Number of ways of choosing 3 distinct kinds of rolls for third guest

    posted on February 10, 2018
  17. Math

    We don't need the website. translation 3 units right and 2 units down follows the following rule: (x,y)->(x+3,y-2) So we will need to take the coordinates of A, B and C, and transform each point according to the rule given above. For example, if P(2,5),

    posted on February 10, 2018
  18. Math

    1) After giving $5 to Greg, David has $25. Greg now has 1/5 as much as Davis does. How much did Greg start with? Now David has $25 Greg now has 1/5 of David, or 1/5 of 25, or 5. So before he got $5 from David, Greg had 5-5=0, or nothing. 2) if

    posted on February 10, 2018
  19. Math

    p+pq = 4(p-pq) p(1+q) = 4p(1-q) Since pq ≠ 0, then we can cancel out p on both sides. => 1+q=4(1-q) Expand and solve for q 1+q=4-4q 5q=4-1=3 q=3/5 Check: (1+q)=1+3/5=8/5 4(1-q)=4(1-3/5)=4(2/5)=8/5 Therefore the value of q is correct and unique.

    posted on February 10, 2018
  20. math

    Sorry the sketch did not work out! :(

    posted on February 10, 2018
  21. math

    Events: S=Laurel waits 40 minutes or less for hardy. ~S=Laurel waits more than 40 minutes. Assumptions: both arrivals are random and create a uniform probability distribution. Between 1:00 and 1:20, Laurel will be sure to wait 40 minutes or more, since

    posted on February 10, 2018
  22. Math

    Here's an example of what the question is asking for: If Molly removed 2 orange marbles, the probability of drawing an orange marble from the remaining batch is P(Orange) = (2-2)/(4+3+3+0) = 0/10 = 0 and that does not equal 1/5, so she did not remove 2

    posted on February 3, 2018
  23. Math

    Twenty members of a group contributed sh 80000 each means contribution from members = 20 members * 80000 =sh 1600000 They already had sh 120000 in a bank out of which sh 20000 was to remain means from bank reserve = 120000 - 20000 = sh 100000 Price of land

    posted on February 3, 2018
  24. Mathematical Range.

    Well, I do not know how you got the range as ± 3 to ± 11.1. The interpretation of your answer is -11.1 (excluding) to -3 (including) together with 3 (including) to 11.1 (excluding). This means that (-3,3) is excluded from the range. Confirm that this

    posted on February 3, 2018
  25. University Genetics part 2

    The man has Widow's peak (Ww or WW) and attached earlobes (dd), and the woman without widow's peak (ww) and detached earlobes (Dd, the d is inherited from her father). So yes, Man: Wwdd or WWdd (could be either one) Woman: wwDd. Case 1: If man has Wwdd

    posted on January 27, 2018
  26. University Genetics

    The fact that fur colour can be tortoise means that both phenotypes are expressed, as a result of codominance of the genotypes black and orange. Since we are given that fur colour is controlled by X-linked alleles, it means that tortoise can only be

    posted on January 26, 2018
  27. Algorithms

    Hints: Properties of the given dataset: 1. Could have a large number of nodes. 2. Generally very large and sparce. 3. Requires relatively efficient search algorithm given a node. 4. In general, contains cycles. Since cycles are present, we can safely

    posted on January 22, 2018
  28. Math

    Here we do not know the initial investment, P. We can still apply the formula to solve for it since we know the future value = $44800. From FV=44800=P(1+0.028/365)^(23*365) we solve for P P=44800/((1+0.028/365)^(23*365)) =23528.98 The interest earned is

    posted on November 27, 2017
  29. Statistics

    Use binomial distribution because: 1. Bernoulli trials (either girl or boy) 2. number of trials (n=9) known. 3. probability (p=0.5) of outcome known and remains constant throughout trials 4. trials are independent of each other. n=9 p=0.5

    posted on October 2, 2017
  30. Math

    2012 was a leap year, so 366 days. deaths per hour = 31700 deaths /(366 days *24 hour/day) = 7925/2196 deaths / hour = 3.61 deaths per hour (approximately)

    posted on September 26, 2017
  31. Math

    Yes, $17592.59, to the nearest cent.

    posted on September 26, 2017
  32. Discrete Math

    Another way to solve. Let A=# of students who answered the first question B=# of students who answered the second question C=# of students who answered the third question Then we are given B+C-|B∩C| = 10 A+C-|A∩C| = 14 A+B-|A∩B| = 12 Add three

    posted on September 26, 2017
  33. Math

    inflation rate (increase) =(new value-old value)/old value =(82.4-72.6)/72.6 =9.8/72.6 =.134986 =13.4986% =13.50% (to the nearest hundredth of a percent)

    posted on September 26, 2017
  34. Math

    Admission = $9 charged once each ride = $2.5x (x=number of rides) Total cost for x rides =2.5x+9

    posted on September 26, 2017
  35. Vector Calc

    The equation of a spherical surface centred at (0,0,0) is x^2+y^2+z^2=r^2 centred at (x0,y0,z0) (x-x0)^2+(y-y0)^2+(z-z0)^2=r^2 substituting C(4,-5,0), the equation of the spherical surface is (x-4)^2+(y+5)^2+z^2=10^2=100 Assuming z-coordinate is

    posted on September 2, 2017
  36. Math

    The given quadratic equation has no real roots when the determinant is (strictly) negative. This happens when b^2-4*a*c-p36-40=-4 So the condition for f(x)=p has no real roots is when p>-4.

    posted on August 17, 2017
  37. Math

    Since the 401k plan is tax free until the money is withdrawn, Sal has a 5% salary contributed to the plan AND deductible at the marginal rate of 20%. The company contribution does not matter for the current year taxes until the money is withdrawn. So the

    posted on August 9, 2017
  38. college- math

    Use binomial distribution, which requires a known and constant probability of success, a known number of trials, independence of trials. probability of success, p=1/6 number of trials, n=3 the probability of x successes is P(x)=C(n,x)p^x (1-p)^(n-x) where

    posted on August 3, 2017
  39. Finance

    Oh yes, please add machine cost Y(0)=90000 to negative cash-flows. All other calculations remain valid.

    posted on August 2, 2017
  40. Finance

    You seem to have deducted machine depreciation as 25000/3 instead of 25000/year. Also, you have provided the first year cash flow without taking into account of the WACC. I suggest you make a cash-flow diagram for three years, using following information

    posted on August 2, 2017
  41. probabilities in statistics

    (a) Given a diamond dealt first (without replacement) There are 51 cards left, so 13 clubs from a deck of 51 cards: P(C|D)=13/51. (b) Ace of hearts followed by a black card. P(A∪B)=1/52*26/51=1/102

    posted on August 2, 2017
  42. To @Writeacher

    Personally I do prefer the actual dates over today/yesterday because if and when we save a page, today/yesterday becomes a relative date which is ambiguous. However, today/yesterday could be an addition to the complete date to avoid confusion.

    posted on July 30, 2017
  43. physics

    For a simple pendulum, period T=2*π*sqrt(L/g) Substitute T=5T, L=4L 5T=2*π*sqrt(4L/g) => square both sides and solve for g: 25T=4π²(4L)/g g=16Lπ²/25T where L and T are as given in the question.

    posted on July 30, 2017
  44. Math

    Your solution: (5!*7*6*5*4)*(3*2*1)+7!*5!*2!*2! =604800+2419200 =3024000 The first term is basically 5!7! which is the number of ways each gender can be permuted separately, and I agree with that, however they are seated. Now coming to the restriction,

    posted on July 30, 2017
  45. probability

    Event: S=success for last passenger to get his assigned seat. 1=case 1 2=case 2 Note that cases 1 and 2 are complementary. Case 1: P(1)=1/100 If the first person chose (randomly) his assigned seat Then all the rest of the passengers will also get their

    posted on July 15, 2017
  46. Finance

    i=10.5%=.105 n=2 for machine J, =3 for machine K We assume machine J lasts 2 years with no salvage value, same for machine K, but three years. Case J: PV=-11000-1200/(1.105)-1300/1.105^2= =-13150.65 annual expense over 2 years A=P*(A/P,10.5%,3)

    posted on July 15, 2017
  47. Math

    Approximate the earth as a perfect sphere, with radius 6371 km. Change in longitude = 60-20 = 40° = 40π/180 radians Latitude of flight path = 20° N horizontal radius = Rcos(20°) Horizontal arc length from A to B =Rcos(20°)(40π/180) =6371*0.9397*.6981

    posted on July 14, 2017
  48. geometry

    Given: D (2,2), E (-2,-1), and F (-3,5). The reflection about the y-axis follows the following rule: sy: (x,y)->(-x,y) For example: sy: D(2,2)->D'(-2,2) The translation along a vector (p,q) follows the following rule: T(p,q): (x,y)->(x+p, y+q) Example:

    posted on July 14, 2017
  49. Finance

    The given information assumes that the investment is made on the 31st of December (end of year of year of investment), so year 0. At the end of year 3, the NPV is -879.46, and at the end of year 4, the NPV is +2907.51 as you had it. I believe payback

    posted on July 14, 2017
  50. maths

    if the prime factors of p²+1, excluding 1 and itself, are of the form {a²,b | a≠b}, then the possible factors are: {1,a,b,a², ab, a²b} total exactly 6 factors. The first few such sums are: 1²+11=12=2²*3 [but 1 is not a prime] 3²+11=20=2²*5

    posted on July 14, 2017
  51. maths

    When more than two (i.e. 3 or more) lines intersect at the same point, i.e. they intersect each other, these lines are concurrent.

    posted on July 14, 2017
  52. math

    Let interest be i per annum simple interest. 4050(1+i*2)=4526.50 solve for i. 1+i*2=4526.5/4050=1.117654321 i=(1.117654321-1)/2 =0.058827 1 lakh = 100,000 So after 3 years, accumulated amount =100,000(1+3i) =100,000(1.1764815) =117648.15

    posted on July 13, 2017
  53. math

    We know (assume) that each cow and chicken has one head. Chickens have 2 legs and cows have 4 legs. If there are C cows, then there are 30-C chickens. Count total number of legs 4C+2(30-C) = 86 Simplify and solve for C 4C-2C=86-60 2C=26 C=13 So there are

    posted on July 13, 2017
  54. maths

    If long diagonal is defined as continuous diagonals with 8 squares, then there are only two. The following scheme should work. C C _ _ C C _ _ _ _ C C _ _ C C C C _ _ C C _ _ _ _ C C _ _ C C C C _ _ C C _ _ _ _ C C _ _ C C C C _ _ C C _ _ _ _ C C _ _ C C

    posted on July 13, 2017
  55. software development

    array length syntax is different for different languages. Please specify language you're using. most use the syntax len(array), or variants.

    posted on July 12, 2017
  56. Physics

    dx/dt=2t, integrate, x=t^2+Cx dy/dt=4, integrate, y=4t+Cy We know x(0)=y(0)=0 => Cx=Cy=0 The trajectory of the particle is therefore Guess you can find displacement at t=2 with the above information.

    posted on July 12, 2017
  57. Physics

    You don't have to worry about the top, just assume that it was off balance by some random motion, and acceleration will start from there where KE=0, and PE=mg(R) if we take reference elevation at the centre of the sphere. Then at at certain θ

    posted on July 12, 2017
  58. Physics

    Try reaction=centripetal force, mg(cos(θ))=mv^2/R Yes, v^2 (at the time it leaves sphere) can be calculated using energy considerations.

    posted on July 11, 2017
  59. spatial reasoning

    I find 8. ||||| =||| |=|| ||=| |||= ==| =|= |==

    posted on July 11, 2017
  60. math

    Assuming the order within the day does not matter. Monday: 15C3 ways Tuesday: 12C3 ways Wednesday: 9C3 ways Thursday: 6C3 ways Friday: 3C3 ways Total= product of the above numbers, =455*220*84*20*1 =168168000

    posted on July 10, 2017
  61. math

    The rectangle is slanted with respect to the axes. Make a sketch to see if the corners are in order. You can use the graphing tool to help you plot. From the plot, it looks like the three points A, B and C do not form any right-angle, so there

    posted on July 10, 2017
  62. math

    Try pairing numbers to make a sum of 9, after taking out, say 1 and 4 for the first digits. leaves 2,3,5,6,7,8, so pair 2,7, 3,6, 5,8 for the other digits. making 1235 and 4768 sum is 6003. Try other combinations to see if it is possible to get closer.

    posted on July 10, 2017
  63. Physics 11

    (a) Normal force, N= 140g N μs=0.25 frictional force to move crate = μN = 0.25*140g = 343.35 Assuming force of 340N is acting horizontally, crate will move since 390N > 343.35 N (b) μk=0.17 kinetic frictional force = μkN = 0.17*340*9.81 = 233.48 N Net

    posted on July 10, 2017
  64. physics

    Volume of object = 40*30*10=12000 cm³ Principle of floatation says that the mass of liquid displaced by a floating object equals the mass of the object. (C.F. Archimedes) For a density of 0.92 g/cc floating on a liquid of density 1.0 g/cc, the mass of

    posted on July 9, 2017
  65. math

    Integer is the set of all numbers without the need to use decimals or fractions, examples, 2,100,0,-4. Counting numbers are positive integers, examples: 1,2,10,10000, etc. Counting numbers are called natural numbers by mathematicians. Depending on the

    posted on July 8, 2017
  66. Physics

    There is probably a more elegant way to solve the problem, but here's one that works. We know a and b are unit vectors. By the cosine rule, we can find the angle between the two vectors a+b as: cos(φ)=(1^2+1^2-(√3)^2)/(2*1*1)=-1/2 => φ=2π/3. Without

    posted on July 8, 2017
  67. Science

    49g in 100 mL solution => 490g in 1000 mL solution. molecular mass of H2SO4=2+32+64=98 Molarity = (mass/L)/molecular mass = ?M

    posted on July 8, 2017
  68. MATH

    Finance charge = average daily balance*interest rate Here average daily balance = 250.82 interest rate = 1.7% = 0.017 Finance charge = 250.82*0.017 = ?

    posted on July 7, 2017
  69. b e t Sofia high school (arethametic)

    Let the AP be a(n)=a(0)+(n-1)d then we were given a(p)=q => a(0)+(p-1)d=q a(q)=p => a(0)+(q-1)d=p Subtract one equation from the other a(0)-a(0)+(p-1-(q-1))d=q-p simplify (p-q)d=q-p solving, we find that d=-1 substitute d and p in the AP a(p)=a(0)+(p-1)d

    posted on July 7, 2017
  70. engineering

    Check if you are using these formulas for pressure and temperature. If so, go ahead and feed your calcxulator. If not, please post formulas you use. You may post your answers for checking if you wish, but

    posted on July 7, 2017
  71. Mathematics question

    In summary, 90% of cats and 10% of dogs think they were cats. So if the population is made up of C cats and D dogs, then (0.9C+0.1D)/(C+D)=0.2 Let x=C/(C+D), then D/(C+D)=1-x 0.9x+0.1(1-x)=0.2 isolate x and solve 0.9x-0.1x=0.2-0.1 0.8x=0.1 x=0.125 => 12.5%

    posted on July 7, 2017
  72. Biology

    Codominance means both are expressed in the presence of each other. If there is one allele of each, then both A and B will be expressed (giving AB type). If either an A allele is paired with a different one, such as O, then the dominance is expressed and

    posted on July 7, 2017
  73. Math

    A=biannual payment = 12,000 APR=10% => i=10%/2=0.05 n=number of periods (each six-months) = 10*2=20 Present value P=A*((1+i)^n-1)/(i(1+i)^n) You can substitute values and compute. P is the same as the amount borrowed in a mortgage with a semi-annual

    posted on July 7, 2017
  74. math

    Assuming there is no limit on the size of the individual pieces, e.g. NOT x pieces of equal area. No cut: 1 slice 1 cut: 2 slices 2 cuts: 4 slices (last cut intersects one previous cut, so adds two pieces) 3 cuts: 7 slices (last cut intersects 2 previous

    posted on July 7, 2017
  75. MATH 123

    Use amortization equation for monthly payment = A =P*i*(1+i/12)^(12n) / [(1+i/12)^(12n)-1] P=amount borrowed (present value) i=annual interest rate n=duration of loan in years compounding frequency = 12 times per year. Case 1: P=23000 i=4.6% = 0.046 n=3

    posted on July 6, 2017
  76. maths

    P1=-300/(1.12^3)=-213.53 P2=-1000/(1.12^5)=-567.43 P3=-200/(1.12^15)=-36.54 (negative because money is due in the future)

    posted on July 4, 2017
  77. maths

    i=0.12 use P=F*(P/F,i,n)=F/((1+i)^n) P1=-300/(1.12^3)=213.53 P2=-1000/(1.12^5)=567.43 P3=-200/(1.12^15)=36.54 (negative because money is due in the future) P=P1+P2+P3 [present value]

    posted on July 4, 2017
  78. quantitative apptitude

    Since the period of time is not mentioned, it will be assumed that it is a perpetual annuity, with initial sum S generating interest of $1200 per month forever. 18% APR = 1.5% per month. Therefore S*0.015=1200, or S=1200/0.015=80000

    posted on July 3, 2017
  79. Math

    Each test is graded in R=(3 teachers * 3 hours)/ 40 tesets =9/40 teacher-hour/test 480 tests will require Time=480 tests *R =480* (9/40) tests*teacher-hours/test =108 teacher-hours. 12 teachers will take Time = 108 teacher-hours / 12 teachers =108/12 hours

    posted on July 3, 2017
  80. MATH

    Again here the keyword is "among" 10 people. Check that the conditions of binomial distribution are satisfied (ref. the airplane problem). Then proceed with the calculation of "at least two" out of 10, namely "not zero", "not one" out of 10. Instead of

    posted on July 3, 2017
  81. math

    The situation calls for binomial distribution because all criteria are satisfied: 1. Bernoulli trials (i.e. either success or failure, one of exactly two outcomes). 2. Probability of success (i.e. failure of engine) is known (p=0.004) and remains constant

    posted on July 3, 2017
  82. math


    posted on July 3, 2017
  83. physics

    Let x-axis => due east y-axis => due north then 100m due east and 50m due north => New position P(100,50) distance by Pythagoras, D=sqrt(100^2+50^2) angle (from x-axis)= tan-1(y/x)=tan-1(50/100)=tan-1(1/2) [ in the first quadrant]

    posted on July 2, 2017
  84. probability

    Question asks P(2 red), so Probability of first red=6/10 Probability of second red = (6-1)/(10-1)=5/9 By the multiplication rule, P(2 red) =6/10*5/9 =30/90 =1/3

    posted on July 2, 2017
  85. probability

    Probability = P(2 red)+P(2 blue) =6/10*5/9 + 4/10*3/9 =(30+12)/90 =7/15

    posted on July 2, 2017
  86. math

    You're welcome!

    posted on July 2, 2017
  87. math

    With two inequalities, you can have a maximum of one intersection point. The feasible region is therefore open. The feasible region is below the red line, and above the black line. The corner point has already been found correctly, ... by you!

    posted on July 2, 2017
  88. Business Math

    Amount to save = 10,000-2500=7500 Use the future value formula: A=F*(A/F,0.08,3) =F(i)/((1+i)^n-1) =7500*0.08/(1.08^3-1) =2310.25 Note: each payment is even less than 7500/3=2500 because the first two payments earn interest at 8%.

    posted on July 1, 2017