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Recent problems solved by 'stanbon'

stanbon answered: 57136 problems
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, >>Next

Equations/249830: What is the answer to the question -3(absolute value) x=-9? I don't understand why I got this wrong on this test I took. I got the answer 3 but that was wrong. Email me at mhwilkerson@lovett.org. 1 solutions Answer 181899 by stanbon(57205)   on 2009-12-14 17:00:51 (Show Source): You can put this solution on YOUR website! -3(absolute value) x=-9 ----- -3|x| = -9 |x| = 3 x = 3 or x = -3 ==================== Cheers, Stan H.

Linear-equations/249819: Help please Use the distributive property to help solve the equation 7(w-3)=14 W=? Is w=11 correct? I'm not sure, thanks 1 solutions Answer 181896 by stanbon(57205)   on 2009-12-14 16:57:37 (Show Source): You can put this solution on YOUR website! Help please Use the distributive property to help solve the equation 7(w-3)=14 W=? Is w=11 correct? I'm not sure, ------------------------------- 7(w-3) = 14 Distribute: 7w - 21 = 14 7w = 35 w = 5 ============= Cheers, Stan H.

Inequalities/249824: Write an inequality in the variable x for the degree measure of the smallest angle of the triangle shown in the figure, given that the degree measure of the smallest angle is at most 30° I believe x<30, but I can't seem to go any further. 1 solutions Answer 181889 by stanbon(57205)   on 2009-12-14 16:51:12 (Show Source): You can put this solution on YOUR website! You don't have to go any further is all you are asked to provide is an inequality. =========================================== Cheers, stan H.

logarithm/249817: According to the United States Geological Survey, the San Francisco earthquake of 1906 resulted in a seismographic reading of 63,096 millimeters 100 kilometers from its epicenter. What is the magnitude of this earthquake? M(x) = log (x/10^-3) 1 solutions Answer 181884 by stanbon(57205)   on 2009-12-14 16:47:08 (Show Source): You can put this solution on YOUR website! According to the United States Geological Survey, the San Francisco earthquake of 1906 resulted in a seismographic reading of 63,096 millimeters 100 kilometers from its epicenter. What is the magnitude of this earthquake? M(x) = log (x/10^-3) ------------------------ M(63,096) = log(63,096/10^-3) = log(63096000) = 7.8 -------------------------------------------------------- Cheers, Stan H.

Probability-and-statistics/249765: You randomly select 16 coffee shops in Seattle and measure the temperature of the coffee sold at each. The sample mean temperature is 161.8 degrees farenheit with a sample standard deviation of 10.0 degrees (F) Find the 95% confidence interval estimate for the mean temperature for all coffee shopes in Seattle. Assume the temperatures are normally distributed. 95% = 1.96 std. deviation 10.1 161.8 n=16 The answer I got is 156.9 is less than 166.8 1 solutions Answer 181875 by stanbon(57205)   on 2009-12-14 16:33:35 (Show Source): You can put this solution on YOUR website! You randomly select 16 coffee shops in Seattle and measure the temperature of the coffee sold at each. The sample mean temperature is 161.8 degrees farenheit with a sample standard deviation of 10.0 degrees (F) Find the 95% confidence interval estimate for the mean temperature for all coffee shopes in Seattle. Assume the temperatures are normally distributed. 95% = 1.96 std. deviation 10.1 161.8 n=16 The answer I got is 156.9 is less than 166.8 ----------------------- I ran a T-Interval program on my TI-84 and got (156.47,167.13) =========================== Cheers, Stan H.

logarithm/249680: log((x^2-1)/(Cube Root(x^2+1)) 1 solutions Answer 181819 by stanbon(57205)   on 2009-12-14 11:51:42 (Show Source): You can put this solution on YOUR website! log((x^2-1)/(Cube Root(x^2+1)) ------ = log(x^2-1) - (1/3)log(x^2+1) ===================================== Cheers, Stan H.

Linear-systems/249679: The solution set for the system 6x+9y=15 and 4x+6y=10 is best described as: a) undefined b) x=1, y=1 c) {(x,y)|y=(-2/3)x + (5/3)} d) inconsistent e) set of all points 1 solutions Answer 181817 by stanbon(57205)   on 2009-12-14 11:48:36 (Show Source): You can put this solution on YOUR website! The solution set for the system 6x+9y=15 and 4x+6y=10 is best described as: --------- Write each equation in slope-intercept form to see that both have a slope of -2/3 So the lines are parallel and never meet. ------ Ans: d because, if you assume x and y have the same meaning in the two equations, you are assuming something which is not true. So the system is said to be inconsistent. -------- Cheers, Stan H. ====================== a) undefined b) x=1, y=1 c) {(x,y)|y=(-2/3)x + (5/3)} d) inconsistent e) set of all points

Percentage-and-ratio-word-problems/249678: I need help solving a percent word problem that involves degrees. The combination of percentages and degrees confused me, so I really didn't know how to work it. This is the problem: "The size of the smallest angle of a triangle is 30% of the size of the largest angle, and the size of the third angle is 20degrees more than the smallest angle. Find the size of each angle." Any help or info on this would be a great help since I have sevral others like this one. Thanks. 1 solutions Answer 181814 by stanbon(57205)   on 2009-12-14 11:42:40 (Show Source): You can put this solution on YOUR website! "The size of the smallest angle of a triangle is 30% of the size of the largest angle, and the size of the third angle is 20degrees more than the smallest angle. Find the size of each angle." ------------------------------ Let the largest angle have size = "x": Then smallest angle has size 0.30x. And size of third angle = "0.30x+20" ------------------------------------------ Equation: x + 0.30x + 0.30x+20 = 180 1.6x = 160 x = 100 degrees (largest angle) 0.30x = 30 degrees (smallest angle) 0.30x + 20 = 50 degrees (3rd angle) ====================================== Cheers, Stan H. ====================================== Cheers, Stan H.

test/249674: If the diameter of a cylindrical can is increased by 30 percent, by approximating what percentage should the height be increased to triple the volume of the can ? 1 solutions Answer 181810 by stanbon(57205)   on 2009-12-14 11:37:39 (Show Source): You can put this solution on YOUR website! If the diameter of a cylindrical can is increased by 30 percent, by approximating what percentage should the height be increased to triple the volume of the can ? ----------- Before Increase: V = (pi*r^2)h --- After Increase: 3V = (pi*r^2)H ------------------- H = 3V/(pi*r^2) H = [3(pi*r^2)h]/(pi*r^2) H = 3h H/h = 300% ====================== Cheers, Stan H.

Square-cubic-other-roots/249669: If the equation x^4+ax^2+bx+c=0 has roots 1,2,3 Find C 1 solutions Answer 181807 by stanbon(57205)   on 2009-12-14 11:32:57 (Show Source): You can put this solution on YOUR website! If the equation x^4+ax^2+bx+c=0 has roots 1,2,3 Find C ----------- If x = 1: 1+a + b + c = 0 --- If x = 2: 16 +4a + 2b + c = 0 ---- If x = 3: 81 + 9a + 3b + c = 0 ------------------------------------ Rearrange and solve for a,b,c --- a + b + c = 0 4a + 2b + c = -16 9a + 3b + c = -81 --------------------------------- I used a matrix method to get: a = -(49/2) b = 115/2 c = -33 =============== Cheers, Stan H.

logarithm/249647: 3 log 3 + 6 log 3y - log 3z... How do you write this expression as a single logarithm...? 1 solutions Answer 181802 by stanbon(57205)   on 2009-12-14 11:25:19 (Show Source): You can put this solution on YOUR website! 3 log 3 + 6 log 3y - log 3z... How do you write this expression as a single logarithm...? -------------------- log(27) - log(3y)^6 - log(3z) --- log[27*729y^6/(3z)] = log[6561y^6/z] ===================== Cheers, stan H.

Probability-and-statistics/249550: Classify as independent or dependent samples: The rainfall in Seattle, and the rainfall in Phoenix. (Points :2) independent or dependent 1 solutions Answer 181780 by stanbon(57205)   on 2009-12-14 10:29:31 (Show Source): You can put this solution on YOUR website! Classify as independent or dependent samples: The rainfall in Seattle, and the rainfall in Phoenix. (Points :2) independent or dependent ------------- Ans: independent ================== Cheers, Stan H.

Probability-and-statistics/249568: Arbitron Media Research, Inc., conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. It was discovered that the mean listening time for men was 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10 minutes per day. The mean listening time for the 12 women studied was also 35 minutes, but the standard deviation of the sample was 12 minutes. At the .10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? 1 solutions Answer 181779 by stanbon(57205)   on 2009-12-14 10:27:44 (Show Source): You can put this solution on YOUR website! Arbitron Media Research, Inc., conducted a study of the iPod listening habits of men and women. One facet of the study involved the mean listening time. ----------- It was discovered that the mean listening time for men was 35 minutes per day. The standard deviation of the sample of the 10 men studied was 10 minutes per day. ----------- The mean listening time for the 12 women studied was also 35 minutes, but the standard deviation of the sample was 12 minutes. ----------- At the .10 significance level, can we conclude that there is a difference in the variation in the listening times for men and women? -------- Ho: u(men)-u(women) = 0 H1: u(men)-u(women) is not 0 --- I tried to run a 2-sample t test but your post does not say how many men were involved in the study. ----------------- Cheers, Stan H.

Probability-and-statistics/249569: The following is sample information. Test the hypothesis at the .05 significance level that the treatment means are equal. Treatment 1 9,7,11,9,12,10 Treatment 2 13,20,14,13,Â, Treatment 3 10,9,15,14,15, a.State the null hypothesis and the alternate hypotheses. b.What is the decision rule? c.Compute SST, SSE, and SS total. d.Complete an ANOVA table. e.State your decision regarding the null hypothesis. 1 solutions Answer 181775 by stanbon(57205)   on 2009-12-14 10:20:32 (Show Source): You can put this solution on YOUR website! Some weird symbols got into your posting. Cheers, Stan H.

Probability-and-statistics/249570: 3.The null hypothesis and the alternate are: • H0: The frequencies are equal. • H1: The frequencies are not equal. Category/fo A/10 B/20 C/30 a.State the decision rule, using the .05 significance level. b.Compute the value of chi-square. c.What is your decision regarding H0? 1 solutions Answer 181774 by stanbon(57205)   on 2009-12-14 10:17:54 (Show Source): You can put this solution on YOUR website! Your problem posting is not complete. Cheers, Stan H.

Probability-and-statistics/249571: 16.The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the .05 significance level. Â / Had Accident in the Last Year / Did Not Have an Accident in the Last Year Uses a cell phone / 25 / 300 Does not use a cell phone / 50 / 400 1 solutions Answer 181773 by stanbon(57205)   on 2009-12-14 10:15:10 (Show Source): You can put this solution on YOUR website! The use of cellular phones in automobiles has increased dramatically in the last few years. Of concern to traffic experts, as well as manufacturers of cellular phones, is the effect on accident rates. Is someone who is using a cellular phone more likely to be involved in a traffic accident? What is your conclusion from the following sample information? Use the .05 significance level. Â / Had Accident in the Last Year / Did Not Have an Accident in the Last Year Uses a cell phone / 25 / 300 Does not use a cell phone / 50 / 400 ------- Ho: The row and column factors are independent H1: They are dependent ----- I ran a Chi-Sq test on the 2 by 2 data set and got the following: test stat: Chi-sq = 2.5234 p-value: 0.1122 df = (2-1)(2-1) = 1 ======================== Conclusion: Since the p-value is grater than 5%, do not reject Ho; the row and column factors are independent. ================================================= Cheers, Stan H.

Probability-and-statistics/249581: Joe rolls 5 consecutive threes on 5 rolls of a fair die. What is the probability that Joe will roll a three on the next roll? 1 solutions Answer 181769 by stanbon(57205)   on 2009-12-14 10:04:22 (Show Source): You can put this solution on YOUR website! Joe rolls 5 consecutive threes on 5 rolls of a fair die. What is the probability that Joe will roll a three on the next roll? ----------------- Ans: 1/6 The roll results are independent if you are using a fair die. ------------------- Cheers, Stan H.

Probability-and-statistics/249623: If a gambler rolls two dice and gets a sum of 10, he wins 10 dollars and if he gets a sum of 3, he wins 20 dollars. The cost to play is 5 dollars. What is the expected value of the game? 1 solutions Answer 181768 by stanbon(57205)   on 2009-12-14 10:01:58 (Show Source): You can put this solution on YOUR website! If a gambler rolls two dice and gets a sum of 10, he wins 10 dollars and if he gets a sum of 3, he wins 20 dollars. The cost to play is 5 dollars. What is the expected value of the game? ---------------------------------- sum of 10: 55,64,46: 3/36 sum of 3: 12,21: 2/26 ------------------------------ Random number values (winner's gains): -5, 5, 15 Corresponding probabilities are: 31/36 , 3/36 , 2/36 ===================================================== E(x) = -5(31/36)+5(2/36)+15(2/36) = (-155+10+30)/36 = -115/36 = -$3.19 The gambler can expect to lose $3.19 each time he plays the game. ===================================================== Cheers, Stan H.

Travel_Word_Problems/249530: the speed of train A is 12 mph slower than the speed of train B. Train A travles 220 miles in the same time it takes train B to travel 280 miles. Find the speed of each train. 1 solutions Answer 181727 by stanbon(57205)   on 2009-12-13 23:21:19 (Show Source): You can put this solution on YOUR website! the speed of train A is 12 mph slower than the speed of train B. Train A travles 220 miles in the same time it takes train B to travel 280 miles. Find the speed of each train. ------------- Train A DATA: distance = 220 miles ; rate = x-12 mph ; time = d/r = 220/(x-12) hrs ---------------- Train B DATA: distance = 280 miles ; rate = x mph ; time d/r = 280/x hrs ---------------------- Equation: time A = time B 220/x-12 = 280/x 220x = 280(x-12) 220x = 280x - 3360 -60x = -3360 x = 56 mph (train B rate) --- x-12 = 44 mph (train A rate) ================================= Cheers, Stan H.

Probability-and-statistics/249531: Suppose 105 newly created pairs of jeans are placed in a large bin to be checked for quality. Of these, 7 will not be of high enough quality to sell. Suppose that two pairs of jeans are randonly selected, without replacement, from the bin. What is the chance that both pairs of jeans selected will be substandard? Give solution as a reduced fraction in lowest terms and approximated to the nearest ten thousandth. 1 solutions Answer 181726 by stanbon(57205)   on 2009-12-13 23:16:34 (Show Source): You can put this solution on YOUR website! Suppose 105 newly created pairs of jeans are placed in a large bin to be checked for quality. Of these, 7 will not be of high enough quality to sell. Suppose that two pairs of jeans are randonly selected, without replacement, from the bin. What is the chance that both pairs of jeans selected will be substandard? Give solution as a reduced fraction in lowest terms and approximated to the nearest ten thousandth. ------------ Pick two pairs are sub: 7C2 Pick two pairs without restriction: 105C2 -------------- P(2 sub) = 7C2/105C2 = 21/5460 =0.0038 ---------------------------------------------- Cheers, Stan H.

Probability-and-statistics/249541: Find the probability of selecting two consecutive threes when two cards are drawn without replacement from a standard deck of 52 playing cards. Round your answer to four decimal places. 1 solutions Answer 181725 by stanbon(57205)   on 2009-12-13 23:12:10 (Show Source): You can put this solution on YOUR website! Find the probability of selecting two consecutive threes when two cards are drawn without replacement from a standard deck of 52 playing cards. Round your answer to four decimal places. ----------------------------------------- Pick 2 threes: 4C2 = 6 ways ---------------------------------- Pick 2 cards without restriction: 52C2 ---------------------------------------- P(2 threes) = 6/22100 = 3/11050 = 0.00027149... Cheers, Stan H.

logarithm/249542: Maria is twice as old as Jasmine. Six years ago, Maria was three times as old as Jasmine was then. Find the age of each girl. 1 solutions Answer 181724 by stanbon(57205)   on 2009-12-13 23:08:22 (Show Source): You can put this solution on YOUR website! Maria is twice as old as Jasmine. Six years ago, Maria was three times as old as Jasmine was then. Find the age of each girl. --------------- NOW DATA: Let Maria by "m" Let Jasmine b "j" -------------------------- Equations: m = 2j (m-6) = 3(j-6) ----------------- Substitute for "m" and solve for "j": (2j-6) = 3(j-6) 2j-6 = 3j-18 j = 12 (Jasmine's age now) Since m = 2j, m = 24 (Maria's age now) ======================================= Cheers, Stan H. ------

Permutations/249532: a group of 6 men and 4 women.... three people are selected to attend a conference. in how man ways can group of 3 women be selected from the 4 if all groups are equally likely to be selected whats the probability that the group will conisist of all women 1 solutions Answer 181723 by stanbon(57205)   on 2009-12-13 23:03:36 (Show Source): You can put this solution on YOUR website! a group of 6 men and 4 women.... three people are selected to attend a conference. In how many ways can a group of 3 women be selected from the 4 4C3 = 4C1 = 4 ----------------------- If all groups are equally likely to be selected? Whats the probability that the group will consist of all women --- P(all women) = 4/10C3 = 4/120 ================================ Cheers, Stan H.

Probability-and-statistics/249533: FM radio stations with high signal strength in New Orleans break down into the followong categories: Hip hop-2 Religious-6 Country-2 Rock-3 Talk radio-2 Other-5 If someone driving in NO tuned in to am FM radio station with high signal strength what would be the chances he would not get a country or hip hop station? Give anser as a fraction in lowest terms. 1 solutions Answer 181719 by stanbon(57205)   on 2009-12-13 22:42:44 (Show Source): You can put this solution on YOUR website! FM radio stations with high signal strength in New Orleans break down into the followong categories: Hip hop-2 Religious-6 Country-2 Rock-3 Talk radio-2 Other-5 If someone driving in NO tuned in to am FM radio station with high signal strength what would be the chances he would not get a country or hip hop station? Give anser as a fraction in lowest terms. --------------------- Ways to succeed: 4 Total stations: 20 --- P(country or hip hop) = 4/20 = 1/5 ==================================== Cheers, Stan H.

Linear-equations/249474: Rationalize the denominator and simplify. (49√14)/(21√3) 1 solutions Answer 181690 by stanbon(57205)   on 2009-12-13 20:31:13 (Show Source): You can put this solution on YOUR website! Rationalize the denominator and simplify. (49√14)/(21√3) --- Multiply numerator and denominator by sqrt(3) to get: --------------- (49sqrt(42))/(21*3) ------ = (49sqrt(42))/63 --- Cancle the common factor of 7: = 7sqrt(42)/9 ======================== Cheers, Stan H.

Exponents-negative-and-fractional/249473: what is the algebraic expression to m to the 8th power multiplied by n to the negative 3rd power? 1 solutions Answer 181685 by stanbon(57205)   on 2009-12-13 20:24:00 (Show Source): You can put this solution on YOUR website! what is the algebraic expression to m to the 8th power multiplied by n to the negative 3rd power? -------------------- m^8*n^(-3) --- = m^8 / n^3 ================ Cheers, Stan H.

Numbers_Word_Problems/249471: if the sum of three consecutive even numbers is equal to two times the largest number what is the largest number? 1 solutions Answer 181683 by stanbon(57205)   on 2009-12-13 20:21:02 (Show Source): You can put this solution on YOUR website! if the sum of three consecutive even numbers is equal to two times the largest number what is the largest number? --------------------- 1st: 2x-2 2nd: 2x 3rd: 2x+2 --------- Equations; 6x = 2(2x+2) 2x = 4 x = 2 ----------- largest: 2x+2 = 6 ====================== Cheers, Stan H.

Probability-and-statistics/249415: Container A has 3 blue marbles and 2 purple marbles, and Container B has 1 purple marble and 3 green marbles. An experiment consists of randomly selecting a marble from container A then selecting a marble from container B. What is the sample space? What is the probability of choosing a combination that includes a purple marble? 1 solutions Answer 181681 by stanbon(57205)   on 2009-12-13 20:17:04 (Show Source): You can put this solution on YOUR website! Container A has 3 blue marbles and 2 purple marbles, and Container B has 1 purple marble and 3 green marbles. An experiment consists of randomly selecting a marble from container A then selecting a marble from container B. What is the sample space? What is the probability of choosing a combination that includes a purple marble? --------------------- 1st choice: purple is chosen 2 Ways 2nd choice: Anything is chosen 4 ways ------------------------- 8 combinations have a purple marble. --------------------------------- 1st choice is anything:: 5 ways 2nd choice is purple: 1 way 5 combinations have a purple marble. -------------------------------------- Total of 13 ways to have a combination that includes a purple marble ------------------ # of unrestricted combinations: 5*4 = 20 --------------- P(comb. includes a purple) = (13)/20 ======================================== Cheers, Stan H.

Linear-equations/249461: Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places. a = 1, b = 6 1 solutions Answer 181675 by stanbon(57205)   on 2009-12-13 20:00:39 (Show Source): You can put this solution on YOUR website! Find the length of the third side of the right triangle. Assume that c represents the length of the hypotenuse. Give an exact answer and, if appropriate, an approximation to three decimal places. a = 1, b = 6 ------------------------ c = sqrt(1^2 + 6^2) --- c = sqrt(37) =================== Cheers, Stan H.

Money_Word_Problems/249445: find P when R = 8 1/2%, T = 4 months, I = 240 1 solutions Answer 181674 by stanbon(57205)   on 2009-12-13 19:58:26 (Show Source): You can put this solution on YOUR website! find P when R = 8 1/2%, T = 4 months, I = 240 ------------------- I = PRT 240 = P*0.085*(1/3) 720 = 0.085P P = $8470.79 =========== Cheers, Stan H.

Money_Word_Problems/249436: Hello! If a manufacturer sells x units of a product, his R=20x and C=2000 + 8x +.0025X^2 determine how many units he should sell to have maximum profit... So far I know that P= R-C So P = -.0025x^2 + 12x -2000 and -b/2a=x soo... x=2400 how do i do the next step? I feel so dumb... THanks so much 1 solutions Answer 181670 by stanbon(57205)   on 2009-12-13 19:35:33 (Show Source): You can put this solution on YOUR website! Hello! If a manufacturer sells x units of a product, his R=20x and C=2000 + 8x +.0025X^2 determine how many units he should sell to have maximum profit... So far I know that P= R-C So P = -.0025x^2 + 12x -2000 and -b/2a=x soo... x=2400 ---------------- Good job. And 2400 is the number of units to sell to maximimize profit. ------------------ Cheers, Stan H.