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# Recent problems solved by 'stanbon'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

 Linear-equations/526027: using the substitution method to solve the linear system what is the answer to y=x-4 4x+y=26 please show work. thank you.1 solutions Answer 348296 by stanbon(57290)   on 2011-11-03 21:58:08 (Show Source): You can put this solution on YOUR website!using the substitution method to solve the linear system what is the answer to y=x-4 4x+y=26 ---- Substitute for "y" and solve for "x": 4x + (x-4) = 26 5x = 30 x = 6 ----- solve for "y": y = x-4 y = 6-4 = 2 ================= solution: (6,2) ================ Cheers, Stan H. ================
 Miscellaneous_Word_Problems/526024: Could you please help me with this word problem? You are making a square frame of uniform width for a square picture that has side lengths of 2 feet. The total area of the frame is 5 square feet. What is the length of the sides of the frame? Kamsahamnida! (Thank You!) 1 solutions Answer 348294 by stanbon(57290)   on 2011-11-03 21:55:30 (Show Source): You can put this solution on YOUR website!You are making a square frame of uniform width for a square picture that has side lengths of 2 feet. The total area of the frame is 5 square feet. What is the length of the sides of the frame? ------------ picture area = 2*2 = 4 sq. ft. ----- Let the uniform with of the frame be "x". The outer dimensions of the frame are (2+2x)ft by (2+2x) ft ---- Area of the whole picture with frame = (2+2x)^2 = 4+8x+4x^2 --- So, area of the frame alone is 4x^2+8x+4-4 = 4x^2+8x --- Equation: Solve for "x": 4x^2+8x = 5 4x^2+8x-5 = 0 Positive solution: x = [-8 + sqrt(64-4*4*-5)]/8 ---- x = [-8 + sqrt(144)]/8 ----- x = [-8+12]/8 --- x = 1/2 ft ---- Length of the out sides of the frame = (2+2x) = 2+1 = 3 ft. ============================= Cheers, Stan H. =============================
 Polynomials-and-rational-expressions/526017: how do you solve the problem: a varies jointly with b and c. if a=120 b=8 and c=5 write an equation relating the variables then solve for a when b=-4 and c=91 solutions Answer 348292 by stanbon(57290)   on 2011-11-03 21:41:55 (Show Source): You can put this solution on YOUR website! a varies jointly with b and c. if a=120 b=8 and c=5 write an equation relating the variables then solve for a when b=-4 and c=9 ------- a = kb*c ---- solve for "k" using a = 120 when b = 8 and c = 5 120 = k*8*5 k = 3 ---- Equation: a = 3*b*c ----- Solve for "a" when b = -4 and c = 9 a = 3*-4*9 a = -108 ============= Cheers, Stan H. =============
 Linear-equations/525925: What is the slope of the line containing the points: (-4, -3), (2, 6), and (6, 12)1 solutions Answer 348263 by stanbon(57290)   on 2011-11-03 19:50:12 (Show Source): You can put this solution on YOUR website!What is the slope of the line containing the points: (-4, -3), (2, 6), and (6, 12) ---- 1st 2 points slope: (6--3)/2--4) = 9/6 = 3/2 ----- last 2 points slope : (12-6)/(6-2) = 6/4 = 3/2 ================ Slope = 3/2 =============== Cheers, Stan H. ============
 Polynomials-and-rational-expressions/525904: Solve x-6>(2/x)1 solutions Answer 348262 by stanbon(57290)   on 2011-11-03 19:47:13 (Show Source): You can put this solution on YOUR website!1Solve x-6>(2/x) ---- x cannot be zero. solve x-6 = 2/x x^2-6x-2 = 0 x = [6+-sqrt(36-4*-2)]/2 x = [6+-2sqrt(11)]/2 x = [3+-sqrt(11)] x = -0.3166 or x = 6.3166 --- Draw a number line and plot x = -0.3166, 0 and 6.3166 on it. --- Test a value from each of the 4 line intervals to see where the solutions are. x-6 > (2/x) ------ Let x = -2 to get: (-2-6)>(-1) ; false Let x = -0.2 to get: -6.2 > [2/(-0.2)] ; true so solutions in (-0.3166,0) Let x = 0.2 to get: -5.8 > [2/0.2] false Let x = 10 to get: 10-6 > 2/10 ; true so solutions in (6.3166,+oo) ---- Conclusion: Solutions in (-0.3166,0)U(6.3166,+oo) --- ---------------- cheers, Stan H. =========
 Triangles/525689: For each triangle ABC, show that it is right angled, state which side is the hypotenuese, find the area, and find tan A: a) A(13,-4) B(7,4) C(3,1) I have completed thes question and understand it. I am only stuck on the last bit, i dont understand what is meant by find tanA how could I do this? Thank You1 solutions Answer 348193 by stanbon(57290)   on 2011-11-03 14:25:45 (Show Source): You can put this solution on YOUR website!show that it is right angled, state which side is the hypotenuese, find the area, and find tan A: a) A(13,-4) B(7,4) C(3,1) I have completed thes question and understand it. I am only stuck on the last bit, i dont understand what is meant by find tanA how could I do this? ------ Plot the points and label them. Connect them so you see the 3 sides of the triangle. The side opposite angle A is BC. CA is the hypotenuse if B is the right angle So, AB is adjacent to angle A. ---- tan(A) = opposite/adjacent = (length of BC)/(length of AB) =============== Cheers, Stan H. ===============
 Matrices-and-determiminant/525672: Hey! First of all, thanks for taking the time to read this! Another math student needs help! Let's say Mike has four types of stamps, with a total of 80 stamps. He has some 29 cent stamps, some 32 cent stamps, some 3 cent stamps, and some 19 cent stamps. The stamps have a total value of \$14.94. There are 32 stamps that are worth more than 25 cents. Four times the number of 29 cent stamps minus twice the number of 3 cent stamps is 6. How many of each type of stamp does Mike have? All I need is the set up matrix equation, but you can go further if you want. Thank you! 1 solutions Answer 348192 by stanbon(57290)   on 2011-11-03 14:18:40 (Show Source): You can put this solution on YOUR website!Let's say Mike has four types of stamps, with a total of 80 stamps. Quantity Eq: a + b +c + d = 80 --------------------- He has some 29 cent stamps, some 32 cent stamps, some 3 cent stamps, and some 19 cent stamps. The stamps have a total value of \$14.94. Value Eq: 29a + 32b + 3c + 19d = 1494 cents --------------------------------- There are 32 stamps that are worth more than 25 cents a + b = 32 ------------------------ Four times the number of 29 cent stamps minus twice the number of 3 cent stamps is 6. 4a - 2c = 6 ------------------------ How many of each type of stamp does Mike have? All I need is the set up matrix equation =========== Cheers, Stan H. ===============
 Rational-functions/525627: Please help me with this problem.I'm not sure what to do. I have to graph each function and state its domain and range. y= sqrt(x-1) + 2 Thank you very much.1 solutions Answer 348178 by stanbon(57290)   on 2011-11-03 12:05:36 (Show Source): You can put this solution on YOUR website!I have to graph each function and state its domain and range. y= sqrt(x-1) + 2 ---- Domain: The radicand cannot be negative. So, s-1 >= 0 x >= 1 ---- Domain: All Real numbers >= 1 ------------------------------------ Range: Value of sqrt(x-1) >=0 So, value of sqrt(x-1)+2 >= 2 --- Range: All Real Numbers >= 2 ======================= Graph: ======================== Cheers, Stan H.
 Miscellaneous_Word_Problems/525640: Can someone help me solve this? Thank you. Greg bought a desktop computer and a laptop computer. Before finance charges, the laptop cost \$200 less than the desktop. He paid dot the computer using two different financing plans. For the desktop the interest rate was 8% per year, and for the laptop it was 6.5% per year. The total finance charges for one year were \$335. How much did each computer cost before finance charges?1 solutions Answer 348177 by stanbon(57290)   on 2011-11-03 12:01:29 (Show Source): You can put this solution on YOUR website!Greg bought a desktop computer and a laptop computer. Before finance charges, the laptop cost \$200 less than the desktop. Let desktop cost be x Then laptop cost is x-200 ------------------------------- He paid for the computers using two different financing plans. For the desktop the interest rate was 8% per year, and for the laptop it was 6.5% per year. Interest on desktop = 0.08x Interest on laptop = 0.065(x-200) ------------------------------ The total finance charges for one year were \$335. How much did each computer cost before finance charges? ====== Equation: interest + interest = interest 0.08x + 0.065(x-200 = 335 Multiply thru by 1000 to get: 80x + 65x - 65*200 = 335000 ---- 145x = 348000 x = \$2400 (cost of the desktop) x-220 = \$2200 (cost of the laptop) ====================================== Cheers, Stan H. ======================================
 Travel_Word_Problems/525645: if a car is moving at a speed of 40km/hr, how much time it will take to complete 13km? 1 solutions Answer 348174 by stanbon(57290)   on 2011-11-03 11:54:47 (Show Source): You can put this solution on YOUR website!if a car is moving at a speed of 40km/hr, how much time will it take to complete 13km? ---- time = distance/rate = 13/40 = 0.325 hrs = 19.5 minutes ===================== Cheers, Stan H. ===============
 Evaluation_Word_Problems/525644: what is 20% of 2,536.83 ?1 solutions Answer 348172 by stanbon(57290)   on 2011-11-03 11:52:17 (Show Source): You can put this solution on YOUR website! what is 20% of 2,536.83 ? ===== Let the answer be "x": Equation: x = 0.20*2536.83 --- x = \$507.37 =============== Cheers, Stan H. ===============
 Miscellaneous_Word_Problems/525643: Henry traveled a miles in b hours and then increases his rate by c miles per hour. How long would it take him to travel 1000 miles at the new rate? 1 solutions Answer 348170 by stanbon(57290)   on 2011-11-03 11:50:22 (Show Source): You can put this solution on YOUR website!Henry traveled a miles in b hours and then increases his rate by c miles per hour. How long would it take him to travel 1000 miles at the new rate? ---- "Given" DATA: distance = a miles; time = b hrs ; rate = d/t = a/b mph ----- Problem Procedure distance = 1000 ; rate = (a/b)+c mph : ---- New time: time = distance over new rate = 1000b/(a+bc) hours ==================================================== Cheers, Stan H. =============
 Probability-and-statistics/525593: in a pizza restaurant, 95% of the customers order pizza, 65% of the customers order pizza and a salad. Given that a customer ordered pizza, what is the probability that he/she order salad?1 solutions Answer 348168 by stanbon(57290)   on 2011-11-03 11:43:07 (Show Source): You can put this solution on YOUR website!in a pizza restaurant, 95% of the customers order pizza, 65% of the customers order pizza and a salad. Given that a customer ordered pizza, what is the probability that he/she order salad? --------- P(salad | pizza) = P(salad AND pizza)/P(pizza) = 0.65/0.95 = 0.6842 ---- Cheers, Stan H. ==========
 Probability-and-statistics/525639: A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than \$750 . A random sample of 16 monthly rents for apartments on the east side has a mean of \$748 , with a standard deviation of \$22. If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that is less than \$750 ?1 solutions Answer 348163 by stanbon(57290)   on 2011-11-03 11:38:12 (Show Source): You can put this solution on YOUR website!A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than \$750. ------- A random sample of 16 monthly rents for apartments on the east side has a mean of \$748 , with a standard deviation of \$22. ------- If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the 0.05 level of significance, that is less than \$750? ---------------------------- Ho: u >= 750 Ha: u < 750 (claim) ------------- x-bar = 748 Test statistic: t(748) = (748-750)/[22/sqrt(16)] = -0.3636 ---- p-value = P(t<-0.3535 when df = 15) = tcdf(-100,-0.3636,15) = 0.3606 ---- Since the p-value is greater than 5%, fail to reject Ho at the 5% level of significance. ================================== The test results do not support the claim) ================================== Cheers, Stan H. ===========
 Probability-and-statistics/525638: A rental agent claims that the mean monthly rent, , for apartments on the east side of town is less than . A random sample of monthly rents for apartments on the east side has a mean of , with a standard deviation of . If we assume that the monthly rents for apartments on the east side are normally distributed, is there enough evidence to conclude, at the level of significance, that is less than ?1 solutions Answer 348159 by stanbon(57290)   on 2011-11-03 11:29:45 (Show Source): You can put this solution on YOUR website!Incomplete problem statement.
 Mixture_Word_Problems/525635: Ten pounds of \$1.20 per pound dog food is mixed with x pounds of \$0.60 per pound dog food. The value, in cents, of the resulting mixture may be represented by 1 solutions Answer 348158 by stanbon(57290)   on 2011-11-03 11:28:26 (Show Source): You can put this solution on YOUR website!Ten pounds of \$1.20 per pound dog food is mixed with x pounds of \$0.60 per pound dog food. The value, in cents, of the resulting mixture may be represented by ---------------------------- value + value = value Value = 120*10 + 60x cents. ============================= Cheers, Stan H. ==========
 Probability-and-statistics/525315: The distribution of actual weights of 8oz. wedges of cheddar cheese produced by a certain company is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of five of these cheese wedges is selected. What is the probability that their average weight is less than 8oz?1 solutions Answer 348099 by stanbon(57290)   on 2011-11-02 21:48:57 (Show Source): You can put this solution on YOUR website!The distribution of actual weights of 8oz. wedges of cheddar cheese produced by a certain company is normal with mean 8.1 ounces and standard deviation 0.1 ounces. If a sample of five of these cheese wedges is selected. What is the probability that their average weight is less than 8oz? --------------------------- t(8) = (8-8.1)/[0.1/sqrt(5)] = -2.2361 --- P(x < 8) = P(t < -2.2361 when df = 4) = tcdf(-100,-2.2361,4) = 0.0445 =================== Cheers, Stan H. ===================
 Probability-and-statistics/525310: The Middletown Police department gives a standardized test to potential captains. The mean score is 170 with a standard deviation of 20 points. A score of 200 points is required to pass. Approximately what percentage of those who take the test will pass?1 solutions Answer 348089 by stanbon(57290)   on 2011-11-02 21:21:36 (Show Source): You can put this solution on YOUR website!The Middletown Police department gives a standardized test to potential captains. The mean score is 170 with a standard deviation of 20 points. A score of 200 points is required to pass. Approximately what percentage of those who take the test will pass? ----------------- z(200) = (200-170)/20 = 3/2 --- P(x >= 200) = P(z >= 3/2) = 0.0668 ======================================= Cheers, Stan H. =================
 Probability-and-statistics/525390: I need some help with these questions that I do not understand. Please help! A) Find the binomial probability P(x=5), where (n=13) and p=0.70. B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. C) How would you find the normal approximation to the binomial probability P(x=5) in part A? Please show how you would caculate u ando in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the caculations.1 solutions Answer 348088 by stanbon(57290)   on 2011-11-02 21:17:51 (Show Source): You can put this solution on YOUR website!I need some help with these questions that I do not understand. Please help! A) Find the binomial probability P(x=5), where (n=13) and p=0.70. P(x=5) = 13C5(0.7)^5*0.3^8 = 0.0142 -------------------------------------------- B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. P(x >= 5) = 1 - P(0<= x <=4) = 1-0.0034 = 0.9966 -------------------------------------------- C) How would you find the normal approximation to the binomial probability P(x=5) in part A? Please show how you would caculate u and o in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the caculations. u = np = 13*0.7 = 9.1 sigma = sqrt(npq) = sqrt(9.1*0.3) = 1.6523 ----------------------------------- Switching from Binomial to Normal: P(x = 5) = P(4.5 <= x <= 5.5) z(4.5) = (4.5-9.1)/1.6523 = -2.7840 z(5.5) = (5.5-9.1)/1.6523 = -2.1788 ----------------------- P(4.5 <= x <= 5.5) = P(-2.7840<= z <= -2.1788) = 0.0120 ====================================================== Cheers, Stan H. =============
 Numbers_Word_Problems/525341: one number is 5 less than 2 times another. The product of the number is 63. Find the numbers1 solutions Answer 348060 by stanbon(57290)   on 2011-11-02 20:27:09 (Show Source): You can put this solution on YOUR website!one number is 5 less than 2 times another. The product of the number is 63. Find the numbers ---------------------- Equations: y = 2x+5 xy = 63 ------ Substitute for "y" and solve for "x": x(2x+5) = 63 2x^2+5x-63 = 0 ----- Factor: (2x-9)(x+7) = 0 x = 9/2 or x = -7 ------ Solve for "y": If x = 9/2 y = 2x+5 y = 9+5 = 14 -------------------- If x = -7 y = 2x+5 y = 2*-7+5 y = -9 ---- solutions: (9/2,14) and (-7,-9) ================================= Cheers, Stan H. ================
 Square-cubic-other-roots/525334: I am having trouble with a type of cubed root problem and cannot find it im my book. It is written as: the cubed root of x the square root of x =9. Now, the radicand for square root of x is ALSO inside the radicand for the cubed root of x. It looks like this: index of 3, radicand with x inside, as well as smaller radicand with x inside, equals 9. I can find no information on how to solve these "double roots"1 solutions Answer 348055 by stanbon(57290)   on 2011-11-02 20:17:57 (Show Source): You can put this solution on YOUR website!It is written as: the cubed root of x the square root of x =9. Now, the radicand for square root of x is ALSO inside the radicand for the cubed root of x. It looks like this: index of 3, radicand with x inside, as well as smaller radicand with x inside, equals 9. I can find no information on how to solve these "double roots" ----------------------- Equation: cbrt[x*sqrt(x)] = 9 ---- Raise both sides to the 3 power to get: x*sqrt(x) = 729 ---- x^(3/2) = 728 ----- Raise both sides to the 2/3 power to get: x = 729^(2/3) --- x = 9^2 x = 81 ----------------- Cheers, Stan H. =================
 Linear-systems/525325: 4x+5y=6 6x-7y=-201 solutions Answer 348054 by stanbon(57290)   on 2011-11-02 20:11:28 (Show Source): You can put this solution on YOUR website!4x+5y=6 6x-7y=-20 ---------- Multiply thru 1st equation by 6 Multiply thru 2nd equation by 4 ---------- 24x + 30y = 36 24x - 28y = -80 ----- Subtract and solve for "y": 58y = 116 y = 2 --- solve for "x": 4x+5y = 6 4x + 5*2 = 6 4x = -4 x = -1 ------------------- Cheers, Stan H. =================== Cheers, Stan H. ===================
 Numbers_Word_Problems/525324: The difference of two numbers is 17. find the numbers if their sum is 87.1 solutions Answer 348053 by stanbon(57290)   on 2011-11-02 20:06:22 (Show Source): You can put this solution on YOUR website!The difference of two numbers is 17. find the numbers if their sum is 87. ----- Equations: x - y = 17 x + y = 87 --------------- Add and solve for "x": 2x = 104 x = 52 Solve for "y": x+y = 87 52 + y = 87 y = 35 ---------------- Cheers, Stan H. ================
 Probability-and-statistics/525062: Flip a fair coin 4 times. What is the probability of observong exactly three heads? *Should I use binomial distribution or HHH method?1 solutions Answer 348021 by stanbon(57290)   on 2011-11-02 16:35:54 (Show Source): You can put this solution on YOUR website!Flip a fair coin 4 times. What is the probability of observong exactly three heads? *Should I use binomial distribution or HHH method? Yes ----------------- Binomial Problems with n = 4 ; p(H) = 1/2 ------------------------ P(x = 3) = 4C3(1/2)^3*(1/2) = 4*(1/2)4 = 4/16 = 1/4 -------------------------------------------------------- Cheers, Stan H. =============
 Graphs/525063: The cost of mailing a 3LB package from clearwater to denver with UPS is \$15. The cost varies directly with the weight of the package. If you want to send a package that weighs 4 2/5 pounds how much would it cost? use an equation to model the situation and come up with the solution.1 solutions Answer 348010 by stanbon(57290)   on 2011-11-02 15:33:46 (Show Source): You can put this solution on YOUR website!The cost varies directly with the weight of the package. --- C = kw --- Solve for "k" using "The cost of mailing a 3LB package from clearwater to denver with UPS is \$15." 15 = k*3 k = 5 ----- Equation: C(w) = 5w ------ If you want to send a package that weighs 4 2/5 pounds how much would it cost? use an equation to model the situation and come up with the solution. C(4 2/5) = 5*(4 2/5) = 20 + 2 = \$22 ========================================= Cheers, Stan H. =================
 Exponents/525068: can you help me with this problem please. 3\13 + [-4\7]1 solutions Answer 348009 by stanbon(57290)   on 2011-11-02 15:29:04 (Show Source): You can put this solution on YOUR website!3\13 + [-4\7] ----- least common denominator: 13*7 ---- Rewrite each fraction with the lcd as its denominator: --- [3*7/lcd] + (-4*13/lcd] ----- Combine the numerators over the lcd: [21 - 52]/lcd ------ = -31/91 ============= Cheers, Stan H. ==============
 Graphs/525074: A small business buys a computer for \$3300. After 4 years the value of the computer is expected to be \$200. For accounting purposes the business uses linear depreciation to assess the value of the computer at a given time. This means that if V is the value of the computer at time t, then a linear equation is used to relate V and t. (a) Find a linear equation that relates V and t.1 solutions Answer 348008 by stanbon(57290)   on 2011-11-02 15:25:54 (Show Source): You can put this solution on YOUR website!A small business buys a computer for \$3300. After 4 years the value of the computer is expected to be \$200. For accounting purposes the business uses linear depreciation to assess the value of the computer at a given time. This means that if V is the value of the computer at time t, then a linear equation is used to relate V and t. (a) Find a linear equation that relates V and t. ----- You have 2 points: (0,3300) and (4,200) ---- slope = (200-3300)/(4-0) = -3100/4 = -775 ----- Form: V = mt + b You know m = -775 and V = 3300 when t = 0 Solve for "b": 3300 = -775*0 + b b = 3300 ------ Equation: V(t) = -775t + 3300 ---------------------------- Cheers, Stan H. ====================
 Polynomials-and-rational-expressions/525075: 6x +5y 5x(squared) -12x +6 x(squared -5x +8 6xy -12x(squared)y 7x(5 power) -9x (4th power)1 solutions Answer 348007 by stanbon(57290)   on 2011-11-02 15:22:06 (Show Source): You can put this solution on YOUR website!What is the question?
 Exponents-negative-and-fractional/525071: I don't know how to work out 6a^-2bc/4a^31 solutions Answer 348006 by stanbon(57290)   on 2011-11-02 15:21:05 (Show Source): You can put this solution on YOUR website!work out [6a^-2bc]/4a^3 --- = [6/4)(a^-2/a^3)(bc/1) ------ = (3/2)(1/a^5)(bc) ------ = [3bc/2a^5] ================== Cheers, stan H.
 Sequences-and-series/524969: What is the next number in the sequence and why? -1, 8, -56, 226, -16801 solutions Answer 347985 by stanbon(57290)   on 2011-11-02 11:52:09 (Show Source): You can put this solution on YOUR website!What is the next number in the sequence and why? -1, 8, -56, 226, -1680 ---- I ran a Sine Regression program against the data. The next number would be 162 ----------------- Cheers, Stan H.
 Geometry_Word_Problems/524967: if the area of rectangle is 126 square inches and the length is 14 inches then what is the width of the rectangle 1 solutions Answer 347983 by stanbon(57290)   on 2011-11-02 11:46:32 (Show Source): You can put this solution on YOUR website!if the area of rectangle is 126 square inches and the length is 14 inches then what is the width of the rectangle ----------------------- Area = length*width ---- 126 = 14*W --- W = 126/14 Width = 9 inches =================== Cheers, Stan H. ===============