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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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 Trigonometry-basics/467906: Find the exact value of sin 2a, cos 2a, and tan2 a given that: cos a=-2/11 and a is in Quadrant III I need help understanding exactly how to derive the conclusions please. I am soo lost.1 solutions Answer 321072 by stanbon(57387)   on 2011-07-07 05:44:26 (Show Source): You can put this solution on YOUR website!Find the exact value of sin 2a, cos 2a, and tan2 a given that: cos a=-2/11 and a is in Quadrant III ------ sin(2a) = 2sin(a)cos(a) --- Find sin(a): Since cos(a) = x/r = -2/11 in QII x = -2 and r = 11 --- Then y = sqrt[11^2-2^2] = sqrt(117] --- So sin(a) = y/r = sqrt(117)/11 ====================================== Then sin(2a) = 2(sqrt(117)/11*(-2/11) = -4sqrt(11)/121 ====================================================== Using sin(a) and cos(a) you can find cos(2a) = cos^2-sin^2 and tan(2a) = sin(2a)/cos(2a) =================================== Keep in mind that your "a" is in the 2nd Quadrant. ===================================== Cheers, Stan H.
 Probability-and-statistics/467769: I need help with my probability and statistics homework. Can someone please show me how to do these problems: 7. A college dome houses 100 freshmen, 80 sophomores, and 60 juniors. 30 of the freshmen, 20 of the sophomores, and 10 of the juniors are from Arkansas. If a randomly chosen student is from Arkansas, what is the probability that this student is a freshman? C(100,30)? 8. A box contains 3 red balls and 5 white balls. You draw two balls in succession, without replacement (i.e., the balls drawn are not put back into the box). Use a tree diagram to find the probability that the balls you draw are a white ball followed by a red ball. Answer in fraction reduced to the lowest terms. c(8,5) x c(7,3)? 9. You are given 5 keys, one of them opens a chest. Not knowing which key is the right key, you try them one by one. Find the probability that the third key you try opens the chest. Use a tree diagram to solve this problem. What do you think is the probability that the fourth key opens the chest? And the fifth key? Answer in fraction reduced to the lowest terms. 3rd key: c(5,3)? 10. A fair coin is flipped three times. Given that the first two flips resulted in heads, what is the probability that the third flip is a tail? (A) 1/8 (B) 7/8 (C) 3/4 (D) 1/2 D?1 solutions Answer 320981 by stanbon(57387)   on 2011-07-06 20:30:12 (Show Source): You can put this solution on YOUR website!7. A college dore houses 100 freshmen, 80 sophomores, and 60 juniors. 30 of the freshmen, 20 of the sophomores, and 10 of the juniors are from Arkansas. If a randomly chosen student is from Arkansas, what is the probability that this student is a freshman? P(frosh | from Arkansas) = 30/60 = 1/2 -------------------------------------------- 8. A box contains 3 red balls and 5 white balls. You draw two balls in succession, without replacement (i.e., the balls drawn are not put back into the box). Use a tree diagram to find the probability that the balls you draw are a white ball followed by a red ball. Answer in fraction reduced to the lowest terms. --- P(white and red) = P(red | white)*P(white) = (3/7)*(5/8) = 15/56 ============================ 9. You are given 5 keys, one of them opens a chest. Not knowing which key is the right key, you try them one by one. Find the probability that the third key you try opens the chest. Use a tree diagram to solve this problem. What do you think is the probability that the fourth key opens the chest? And the fifth key? Answer in fraction reduced to the lowest terms. 3rd key: c(5,3)? --- P(not,not,yes) = (4/5)(3/4)(1/3) = (3/5)(1/3) = 1/5 -------------------------------------------------------- P(not,not,not,yes) = (4/5)(3/4)(2/3)(1/2) = (3/5)(1/3) = 1/5 ------------------------------------------------------- P(not,not,not,not,yes) = (4/5)(3/4)(2/3)(1/2)1 = 1/5 =========================================================== 10. A fair coin is flipped three times. Given that the first two flips resulted in heads, what is the probability that the third flip is a tail? Ans: Results are independent ans = 1/2 ------------------------------------------- (A) 1/8 (B) 7/8 (C) 3/4 (D) 1/2 ====================================== Cheers, Stan H.
 Angles/467754: Hello I need help with a question. The directions are use an algebraic equation to find the measure of each angle that is represented in terms of x. 12x-3degrees 10x+15degrees the lines are parallel Thank you 1 solutions Answer 320976 by stanbon(57387)   on 2011-07-06 20:15:58 (Show Source): You can put this solution on YOUR website!That is not enough information. Cheers, Stan H.
 Probability-and-statistics/467677: Find the Standard Error of the proportion model with p = 0.71 and n = 275 A. 7.525 B. 0.0275 C. 0.29 D. 195.25 E. not enough information 1 solutions Answer 320961 by stanbon(57387)   on 2011-07-06 19:37:09 (Show Source): You can put this solution on YOUR website!Find the Standard Error of the proportion model with p = 0.71 and n = 275 --- Note: Assume alpha = 5% ------------------ SE = z*sqrt[pq/n] --- SE = 1.96*sqrt[0.71*0.29/sqrt(275)] --- SE = 0.2184 ==================== Cheers, Stan H. ==================== A. 7.525 B. 0.0275 C. 0.29 D. 195.25 E. not enough information
 Probability-and-statistics/467748: Twenty students randomly assigned to an experimental group receive an instructional program; 30 in a control group do not. After 6 months, both groups are tested on their knowledge. The experimental group has a mean of 38 on the test (with an estimated population standard deviation of 3); the control group has a mean of 35 (with an estimated population standard deviation of 5). Using the .05 level, what should the experimenter conclude? (a) Use the steps of hypothesis testing, (b) sketch the distributions involved, and (c) explain your answer to someone who is familiar with the t test for a single sample but not with the t test for independent means1 solutions Answer 320959 by stanbon(57387)   on 2011-07-06 19:28:32 (Show Source): You can put this solution on YOUR website!Twenty students randomly assigned to an experimental group receive an instructional program; 30 in a control group do not. ------------------------------------- After 6 months, both groups are tested on their knowledge. The experimental group has a mean of 38 on the test (with an estimated population standard deviation of 3); --------------- the control group has a mean of 35 (with an estimated population standard deviation of 5). -------------------- Using the .05 level, what should the experimenter conclude? (a) Use the steps of hypothesis testing, Ho: u(c)-u(e) = 0 Ha: u(e)-u(c) > 0 (tests a claim that the instruction helped) I ran a 2-Sample T test and got the following: test statistic: t = 2.6482 p-value: 0.0109 Conclusion: Since the p-value is less than 5%, reject Ho. The test supports the claim. ---------------------------------------------- (b) sketch the distributions involved, and (c) explain your answer to someone who is familiar with the t test for a single sample but not with the t test for independent means ------ I'll leave b and c to you. ============================== Cheers, Stan H.
 Travel_Word_Problems/467650: Hi, I have attempted the problem but really have only done some unit conversions. I can't get past my confusion on how to handle the two different times in two different time zones the trains depart. Any help would be greatly appreciated. I am assume after the time issue is resolved the formula D=rt can be used. Two trains are on the same track between San Francisco and New York. One train leaves San Francisco, heading east, at 8AM PDT on a Tuesday, and goes 45[kph] for 2 hours, and then speeds up to 95[kph]. Another train leaves New York, heading west, at 9AM CST on the same Tuesday, going 35[mph] for 100 miles, and then speeds up to 80[mph]. The train going west uses a steam locomotive, and the train going east uses a diesel. Assume that there are 2905 miles between San Francisco and New York, going through Des Moines and Salt Lake City. When will the trains meet? Thanks.1 solutions Answer 320909 by stanbon(57387)   on 2011-07-06 15:44:12 (Show Source): You can put this solution on YOUR website!Two trains are on the same track between San Francisco and New York. One train leaves San Francisco, heading east, at 8AM PDT on a Tuesday, and goes 45[kph] for 2 hours, and then speeds up to 95[kph]. Another train leaves New York, heading west, at 9AM CST on the same Tuesday, going 35[mph] for 100 miles, and then speeds up to 80[mph]. The train going west uses a steam locomotive, and the train going east uses a diesel. Assume that there are 2905 miles between San Francisco and New York, going through Des Moines and Salt Lake City. When will the trains meet? ------------------------------ Time difference between 8AM PDT and 9AM CST CST is 2 hrs before PDT At 9AM CST it is 7 AM PDT The west bound train has a 1 hr. advantage on the east bound train ---------------- East Bound train: distance = 2*45+ 95t -------- West Bound train: 100miles/35 mph = 2.86 hrs distance = 100 + 80(t+1-2.86) distance = 100 + 80(t-1.86) ============================== Equation: 90 + 95t + 100 + 80t - 148.8= 2905 41.21+175t = 2905 175t = 2863.8 t = 16.36 hrs t-1 = 15.36 hrs. ---- Time they will meet: 9AM CST + 15.36 hrs = 1:22AM CST on Wednesday ====================================================================== Cheers, Stan H. ----------------------
 Probability-and-statistics/467666: A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment. Using combinations, find the probability of choosing 6 first shift workers and 2 second shift workers.1 solutions Answer 320907 by stanbon(57387)   on 2011-07-06 15:11:57 (Show Source): You can put this solution on YOUR website! A warehouse employs 24 workers on first shift and 17 workers on second shift. Eight workers are chosen at random to be interviewed about the work environment. Using combinations, find the probability of choosing 6 first shift workers and 2 second shift workers. ------ Ways to pick 6 first and 2 second shift workers: 24C6*17C2 ---- Ways to pick 8 workers randomly: 41C8 ------ Answwer: P(6 first and 2 second) = [24C6*17C2]/41C8 = 0.1916 =============== Cheers, Stan H.
 Rational-functions/467668: i have a algebra question and it ask to list all the possible rational root. the problem is xcube minus xsquare plus two x minus two equal 0 so im wondering how will that 1 solutions Answer 320905 by stanbon(57387)   on 2011-07-06 15:06:29 (Show Source): You can put this solution on YOUR website! list all the possible rational root. the problem is xcube minus xsquare plus two x minus two equal 0 ------- x^3 - x^2 + 2x - 2 = 0 ----- Possible rational roots: =/-1, +/-2 ======================================= Cheers, Stan H.
 Probability-and-statistics/467670: The access code for a car's security system consists of 4 digits. The first digit cannot be zero, and the last digit must be odd. Digits may be repeated. Using the Fundamental Counting Principle, how many different codes are available?1 solutions Answer 320904 by stanbon(57387)   on 2011-07-06 15:04:23 (Show Source): You can put this solution on YOUR website!The access code for a car's security system consists of 4 digits. The first digit cannot be zero, and the last digit must be odd. Digits may be repeated. Using the Fundamental Counting Principle, how many different codes are available? ------- Ans: 9*10*10*5 = 4500 =========================== Cheers, Stan H.
 Linear-equations/467674: I need to write the equation of the line that passes trhough P(-3,6) and perpendicular to the graph of y=-2/3x-7.1 solutions Answer 320903 by stanbon(57387)   on 2011-07-06 15:02:40 (Show Source): You can put this solution on YOUR website! I need to write the equation of the line that passes trhough P(-3,6) and perpendicular to the graph of y=-2/3x-7. --- The given line has slope = -2/3 --- Any line perpendicular to it must have slope = 3/2 ---------------- Form: y = mx + b 6 = (3/2)(-3)+ b b = 6+ 9/2 --- b = 10.5 ------ Equation: y = (3/2)x + (21/2) ======================= Cheers, Stan H.
 Permutations/467672: a textbook search committee is considering 12 books for adoption.the committee has decided to select 4 of the 12 for further consideration.in how many ways can it do so?1 solutions Answer 320902 by stanbon(57387)   on 2011-07-06 14:59:19 (Show Source): You can put this solution on YOUR website!Ans: 12C4 = (12*11*10*9)/(1*2*3*4) = 495 =============== Cheers, Stan H.
 Linear-equations/467673: How to find the equation of a line that is perpendicular to x=2 and passed through (-1,9)?1 solutions Answer 320901 by stanbon(57387)   on 2011-07-06 14:56:54 (Show Source): You can put this solution on YOUR website! How to find the equation of a line that is perpendicular to x=2 and passed through (-1,9)? --- Any line perpendicular to x = 2 is a horizontal line. === Equation you want is y = 9 which passes thru ALL points where y = 9. =========== Cheers, Stan H.
 Square-cubic-other-roots/467671: 1. Simplify the expression. square root -128 square root -16 4.Multiply the expressions, and simplify. (2x^-4y^-4) · (-7x^4y^-2) 5.Short Answer: Simplify the following expression, and rewrite it in an equivalent form with positive exponents. (6x^-1)^-2 6.Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. (-2x^9y^4)^4 Thank you. Jesse1 solutions Answer 320900 by stanbon(57387)   on 2011-07-06 14:54:11 (Show Source): You can put this solution on YOUR website!1. Simplify the expression. square root -128 square root -16 = (8sqrt(2)i (4i) ---- = -32sqrt(2) ===================== 4.Multiply the expressions, and simplify. (2x^-4y^-4) · (-7x^4y^-2) = -14x^0*y^-6 ----- = -14/y^6 ============ 5.Short Answer: Simplify the following expression, and rewrite it in an equivalent form with positive exponents. (6x^-1)^-2 = (1/36)x^2 =============== 6.Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression. (-2x^9y^4)^4 --- = 16x^36y^16 ================= Cheers, Stan H. =================
 Graphs/467490: can you please help me solve this graphing inequality x-4_<-2(y+6) 1 solutions Answer 320826 by stanbon(57387)   on 2011-07-06 09:39:26 (Show Source): You can put this solution on YOUR website!x-4_<-2(y+6) ----------------- 2(y+6) <= 4-x --- y+6 <= 2 - (1/2)x --- y <= (-1/2)x -4 ---- Graph y = (-1/2)x-4 --- Shade the half-plane below the line. ============= Cheers, Stan H.
 Numbers_Word_Problems/467541: fuck you all bitch!!! you bitch fuck!!1 solutions Answer 320819 by stanbon(57387)   on 2011-07-06 08:54:09 (Show Source):
 Square-cubic-other-roots/467547: Can someone please explain this? This was a challenge question from the instructor. √x - √(x - 5) = 1 1 solutions Answer 320818 by stanbon(57387)   on 2011-07-06 08:53:10 (Show Source): You can put this solution on YOUR website!Can someone please explain this? This was a challenge question from the instructor. √x - √(x - 5) = 1 ---- Square both sides to get: x - 2sqrt(x^2-5x) + (x-5) = 1 ---- 2x-2sqrt(x^2-5x) = 6 --- -2sqrt(x^2-5x) = -2x+6 ---- -sqrt(x^2-5x) = -x+3 --- Square both sides to get: x^2-5x = x^2-6x+9 ---- x = 9 ----- Cheers, Stan H. =========
 Travel_Word_Problems/467539: two cyclists, 90 miles apart, start riding toward each other at the same time. one cycles twice as fast as the other. If they meet 2 hour later, at what average speed is each cyclist traveling?1 solutions Answer 320810 by stanbon(57387)   on 2011-07-06 07:40:11 (Show Source): You can put this solution on YOUR website!two cyclists, 90 miles apart, start riding toward each other at the same time. one cycles twice as fast as the other. If they meet 2 hour later, at what average speed is each cyclist traveling? --- Their average speed is 45 mph --- Equation: x + 2x = 45 mph 3x = 45 x = 15 (one of the cyclists averages 15 mph) 2x = 30 mph (the other cyclists averages 30 mph) ==================================================== Cheers, Stan H.
 Miscellaneous_Word_Problems/467501: The average cost of tuition and fees at a private college in 2000 was 16,200, and in 2005 it was \$20,100. Sketch a line that passes through the points(2000,16200) and (2005,20100)1 solutions Answer 320809 by stanbon(57387)   on 2011-07-06 07:36:48 (Show Source): You can put this solution on YOUR website!The average cost of tuitionand fees at a private college in 2000 was 16,200, and in 2005 it was \$20,100. Sketch a line that passes trough the points(2000,16200) and (2005,20100) ---- Plot (00,162) and (5,201) to see the shape of the line ---- slope = (201-162)/5 = 7.8 --- intercept = 162 ---- Equation: y = 7.8x+162 ------------------------------ ===================== Cheers, Stan H.
 Angles/467537: if the measure of an angle is (7x-13)* and the measure of it's supplement is (5x-11)* , find x. * - means degrees. 1 solutions Answer 320808 by stanbon(57387)   on 2011-07-06 07:17:31 (Show Source): You can put this solution on YOUR website!if the measure of an angle is (7x-13)* and the measure of it's supplement is (5x-11)* , find x. * - means degrees. ---------------- Equation: 7x-13 + 5x-11 = 180 12x-24 = 180 12x = 156 x = 13 ======================= Cheers, Stan H.
 Rational-functions/467524: How do you write f(x)=x+4/x as a rational function 1 solutions Answer 320807 by stanbon(57387)   on 2011-07-06 07:12:36 (Show Source): You can put this solution on YOUR website!write f(x)=x+4/x as a rational function --- f(x) = (x^2+4)/x ======================== Cheers, Stan H.
 Geometry_Word_Problems/467534: an automobile tire is 30 inches in diameter. How fast (rpm) does the wheel turn on the axle when the automobile maintains a speed of 45 mph? 1 solutions Answer 320806 by stanbon(57387)   on 2011-07-06 07:10:29 (Show Source): You can put this solution on YOUR website!an automobile tire is 30 inches in diameter. How fast (rpm) does the wheel turn on the axle when the automobile maintains a speed of 45 mph? ----- Circumference of the wheel = 30pi inches = (30/12)pi = 2.5pi ft ----- At 45 mph the wheel covers 45*5280 ft in an hour ---- revolutions per hour = (45*5280/2.5pi) --- rpm = (45*5280/60*2.5pi) = 504.20 ====================================== Cheers, Stan H.
 Square-cubic-other-roots/467535: Please help me solve this equation: 1 solutions Answer 320804 by stanbon(57387)   on 2011-07-06 07:00:59 (Show Source): You can put this solution on YOUR website!4 sqrt(x+5) = 12 --------- Divide both sides by 4 to get: sqrt(x+5) = 3 ---------- Square both sides to get: x+5 = 9 --- Subtract 5 from both sides to get: x = 4 =========== Cheers, Stan H. ==============
 Systems-of-equations/467457: Is this a non linear equation y=3x-2 if so I am not sure how to give 2 inputs. Can someone help me?1 solutions Answer 320750 by stanbon(57387)   on 2011-07-05 22:27:43 (Show Source): You can put this solution on YOUR website!Is this a non linear equation y=3x-2 if so I am not sure how to give 2 inputs. --- No. It is a linear equation. --- If x = 0, y = -2 giving you point (0,-20 --- If x = 1, y = 1 giving you point (1,1) =========================================== Plot the two points and draw a line thru them: ---- Cheers, Stan H. =======
 Polynomials-and-rational-expressions/467456: I am having trouble. I am in college algebra and we are having to simplify rational expressions. The equation I have is a fraction: 5/(a-3)-2/(a^2-9) I do not know how to get to the answer. I have to show my work, but I don't know what steps to take and my book is so confusing. I don't want to cheat, I just genuinely want to understand, but am stuck. Please help!!!1 solutions Answer 320749 by stanbon(57387)   on 2011-07-05 22:23:11 (Show Source): You can put this solution on YOUR website!5/(a-3)-2/(a^2-9) ---- Factor: [5/(a-3)] - [2/(a-3)(a+3)] ---- Least common denominator: (a-3)(a+3) ---- Rewrite each fraction with the lcd as its denominator: --- = [5(a+3)/lcd] - [2/lcd] ----- Combine the numerators over the common denominator: = [5a+15-2]/lcd ----------------------- simplify: --- = [5a+13]/[(a-3)(a+3)] ================================== cheers, stan H. ==========
 Linear_Equations_And_Systems_Word_Problems/467431: A salesperson works in the TV ans stereo department of an electronics store. One day she sold 3 TV's and 4 Stereos for \$2530. The next day, she sold 4 TVs and 3 stereos \$2510. Assuming they are all the same TV's and stereos hat is the price of each TV ans stereo?1 solutions Answer 320737 by stanbon(57387)   on 2011-07-05 21:19:24 (Show Source): You can put this solution on YOUR website!One day she sold 3 TV's and 4 Stereos for \$2530. The next day, she sold 4 TVs and 3 stereos \$2510. Assuming they are all the same TV's and stereos hat is the price of each TV ans stereo? ----------------- Equations: 3t + 4s = 2530 4t + 3s = 2510 ---- Multiply thru 1st by 4 Multiply thru 2nd by 3 --- 12t + 16s = 4*2530 12t + 9s = 3*2510 ------------------------ Subtract and solve for "s": 7s = 2590 s = \$370.00 (price of each stereo) ----------------------------- Solve for "t": 3t + 4s = 2530 3t + 4*370.00 = 2530 3t = \$1050.00 t = \$350.00(price of each TV) ===================================== Cheers, Stan H. ===============
 Mixture_Word_Problems/467435: soybean meal is 18% protein cornmeal is 9% how many pounds of each should be mixed together to get 360 lb mixture that is 15% protein1 solutions Answer 320735 by stanbon(57387)   on 2011-07-05 21:10:40 (Show Source): You can put this solution on YOUR website!soybean meal is 18% protein cornmeal is 9% how many pounds of each should be mixed together to get 360 lb mixture that is 15% protein ----------------------- Equation: protein + protein = protein 0.18x + 0.09(360-x) = 0.15(360) -------------------- Multiply thru by 100 to get: 18x + 9*360 - 9x = 15*360 9x = 6*360 --- x = 240 lbs (amt. of soybean meal needed) ----------------------- 360-x = 120 lbs (amt. of cornmeal needed) =========================================== Cheers, Stan H. ===========
 Money_Word_Problems/467434: Find the effective annual interest rate of an account containing \$3000 which is compounded continuously at 8%1 solutions Answer 320734 by stanbon(57387)   on 2011-07-05 21:06:07 (Show Source): You can put this solution on YOUR website!Find the effective annual interest rate of an account containing \$3000 which is compounded continuously at 8% ----- Formula: A(t) = P(e^(rt)) ---- e^(rt) = e^0.08 = 1.0833 ============================== Effective annual interest rate: 8.33% ========================================= Cheers, Stan H. =========
 Linear-equations/467426: Please help me out with this algebra problem. Translate to an equation f \$50 poker chips and t \$20 poker chips total \$400 then if you can graph the equation and use the graph to determinethree different combinations of \$50 poker chips and \$20 poker chips that total \$4001 solutions Answer 320731 by stanbon(57387)   on 2011-07-05 21:02:31 (Show Source): You can put this solution on YOUR website!Please help me out with this algebra problem. Translate to an equation f = \$50 poker chips and t = \$20 poker chips total \$400 then if you can graph the equation and use the graph to determine three different combinations of \$50 poker chips and \$20 poker chips that total \$400 --- Equations: Value: 50f + 20t = 400 dollars ----------------- f = (-2/5)t + 8 ------ ------------------ Combinations: 0 \$20 and 8 \$50 ---------------- 5 \$20 and 6 \$50 ---------------- 10 \$20 and 4 \$50 ------------------ Cheers, Stan H. ===================
 Miscellaneous_Word_Problems/467421: U.S senate has 100 members. After a certain election there were 10 mmore democrates than republicans with no other parties represented. how many members of each party were in the senate?1 solutions Answer 320727 by stanbon(57387)   on 2011-07-05 20:51:22 (Show Source): You can put this solution on YOUR website!U.S senate has 100 members. After a certain election there were 10 more democrates than republicans with no other parties represented. how many members of each party were in the senate? --- let the number of republicans be "x" Then the number of democrats is "x+10" ---- Equation: x + x+10 = 100 2x = 90 x = 45 (# of republicans x+10 = 55 (# of democrats) ============================== cheers, Stan H. =============
 Angles/467410: The image of point (10,-14) under a reflection in point P is (-20,-20). What is the image of point (18,-14) under the same translation? _____1 solutions Answer 320726 by stanbon(57387)   on 2011-07-05 20:48:09 (Show Source): You can put this solution on YOUR website!The image of point (10,-14) under a reflection in point P is (-20,-20). ---- x goes to x-30 y goes to y-6 -------------------------------------------------------- What is the image of point (18,-14) under the same translation? x goes to 18-30 = -12 y goes to -14-6 = -20 --------------------------- Image point (-12,-20) ========================= Cheers, Stan H. ===========