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# Recent problems solved by 'rfer'

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 Angles/384523: Find the measure of the supplement of the angle with each of the following measures: 48 degrees, 20' and 35''1 solutions Answer 272201 by rfer(12646)   on 2010-12-11 15:55:45 (Show Source): You can put this solution on YOUR website!131 degrees 39 minutes 25 seconds
 Complex_Numbers/384509: could someone show me how to work this out. I am lost. Thank you so much. Rise and run. If the rise is 3/2 and the run is 5, then what is the ratio of the rise to the run?1 solutions Answer 272195 by rfer(12646)   on 2010-12-11 15:13:22 (Show Source): You can put this solution on YOUR website!3/2=1.5 1.5 to 5 1.5:5
 Complex_Numbers/384511: Could someone help me with this problem. I am lost. Step by step so I can understand what is done please. Fast food. If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?1 solutions Answer 272194 by rfer(12646)   on 2010-12-11 15:10:21 (Show Source): You can put this solution on YOUR website!4 out of 5 = 4/5 = 80% 445*0.80=356
 Money_Word_Problems/384510: My wife bought a ring for \$1600 and it was 75% off. How much did it originally cost?1 solutions Answer 272193 by rfer(12646)   on 2010-12-11 15:08:18 (Show Source): You can put this solution on YOUR website!1600/0.25=6400
 Systems-of-equations/384508: I need help on the problem: 3/5k=-241 solutions Answer 272192 by rfer(12646)   on 2010-12-11 15:07:16 (Show Source): You can put this solution on YOUR website!3/5k=-24 divide by 3/5 k=-24/(3/5) invert and multiply k=-24*5/3 k=-40
 Finance/384506: If I had \$40,000 and put it into a 6 month CD with an interest rate of 1.35%, how much would I have at the end of 6 months?1 solutions Answer 272190 by rfer(12646)   on 2010-12-11 14:59:00 (Show Source): You can put this solution on YOUR website!(40000*0.0135)/2=270 40000+270=40270
 Linear_Equations_And_Systems_Word_Problems/384504: Investments. An executive nearing retirement made Two investments totaling \$45,000. In one year, these Investments yielded \$2430 in simple interest. Part of the money was invested at 4% and the rest at 6%. How much was invested at each rate? 1 solutions Answer 272189 by rfer(12646)   on 2010-12-11 14:56:16 (Show Source): You can put this solution on YOUR website!0.04x+0.06(45000-x)=2430 0.04x+2700-0.06x=2430 -0.02x=-270 x=13500 at 4% 45000-x=31500 at 6%
 Exponents-negative-and-fractional/384458: 5 to the 5/9 power times 5 to the -8/9 power divided by 5 to the 2/9 power1 solutions Answer 272187 by rfer(12646)   on 2010-12-11 14:51:27 (Show Source): You can put this solution on YOUR website!5^5/9*5^-8/9/5^2/9 5^0.556*5^-0.889/5^0.222= 2.447*0.239/1.429=0.409=409/1000
 Linear_Equations_And_Systems_Word_Problems/384470: At one point, Yellowstone’s Beartooth Highway rises 315 ft over a horizontal distance of 4500 ft. Find the grade of the road.1 solutions Answer 272185 by rfer(12646)   on 2010-12-11 14:43:48 (Show Source): You can put this solution on YOUR website!7 ft even 100 ft 7% grade
 Rectangles/384354: If The width of a rectangle is 5 more than 1/3 of its length. The perimeter is 34 meters, what is the length of the shorter side? 1 solutions Answer 272079 by rfer(12646)   on 2010-12-10 23:15:02 (Show Source): You can put this solution on YOUR website!2x+2(1/3x+5)=34 2x+2/3x+10=34 2 2/3x=24 x=24/8/3 x=24*3/8 x=9 1/3x+5=8
 Finance/384340: Hi! I have a couple of questions on compound interest from my HW assignment that I am not able to answer. I would appreciate some help. Thanks! 1. How much compound interest is earned by investing \$80,000 at 9% p.a., if the investment is over a 3 year period? 2. What will an investment of \$45,000 amount to after 21 months if it earns 7.5% p.a. compounded quarterly? 3. What initial investment is required to produce a maturing amount of \$40,000 in 8 years time if your money can be invested at 9% p.a. compounded monthly? 4. The animal in Eraticus is endangered. Since 1985 there has only been one colony remaining and in 1985 the population of the colony was 555. Since then the population has been steadily decreasing at 4.5% per year. Find: a. the population in the year 2000 b. the year in which we would expect the population to have declined to 50. Once again, I appreciate all the help. The answers to these do not match mine so I would love a step by step procedure for this so I know exactly what I did wrong. Thank you!1 solutions Answer 272078 by rfer(12646)   on 2010-12-10 22:55:02 (Show Source): You can put this solution on YOUR website!1) A=80000(1+0.09)^3 A=80000*1.295 A=103600 103600-80000=\$23,600 2) A=45000(1+0.075/4)^4*2/24*21 A=45000(1.01875)^8*21/24 A=45000(1.01875)^7 A=45000*1.1388679 A=51249.06 3) 40000=P(1+0.09/12)^8*12 P=40000/(1+.0075)^96 P=40000/2.048921 P=19522.18
 Money_Word_Problems/384345: A baseball team has games on Friday and Sunday. The two games together earn 3255.00 for the team. Friday's game generates \$ 473.00 less than Sunday's game. How much was taken at each game?1 solutions Answer 272073 by rfer(12646)   on 2010-12-10 22:36:13 (Show Source): You can put this solution on YOUR website!x+x-473=3255 2x=3728 x=1864 x-473=1391
 Quadratic_Equations/384343: long distance telephone cost 30 cent for 3 mins and 11 cents for each addiotional min.For how many mins can a person talk for less then 2.501 solutions Answer 272071 by rfer(12646)   on 2010-12-10 22:34:06 (Show Source): You can put this solution on YOUR website!2.50-.30=2.20 2.20/.11+3=23 min
 Rectangles/384338: You are building a rectangular fence around a garden that measures 5 ft by 8 ft. How much fencing should you buy? 1 solutions Answer 272068 by rfer(12646)   on 2010-12-10 22:16:33 (Show Source): You can put this solution on YOUR website!2*5+2*8=26 ft
 Proportions/384300: 45 min/2miles =??hrs/1mile I am trying to help my son. the book says the answer is 3/8...help...lol1 solutions Answer 272053 by rfer(12646)   on 2010-12-10 20:55:30 (Show Source): You can put this solution on YOUR website!45 min = 3/4 hr (3/4)/2=x/1 cross multiply 2x=3/4*1 2x=3/4 divide by 2 x=(3/4)/2 invert and multiply x=3/4*1/2 x=3/8
 Equations/384305: Find the equation of a line thru (-3,-12) and parallel to the line thru(6,0) and(4,-5).1 solutions Answer 272049 by rfer(12646)   on 2010-12-10 20:48:50 (Show Source): You can put this solution on YOUR website!m=-5-0/4-6 m=-5/-2 m=2.5 --------------- y=2.5x+b -12=2.5*-3+b -12=-7.5+b b=-4.5 ----------------- y=2.5x-4.5
 Linear-equations/384227: Write an equation of the line satisfying the given conditions Parallel to the line y = -5x - 6 and a y-intercept of -21 solutions Answer 272037 by rfer(12646)   on 2010-12-10 19:57:04 (Show Source): You can put this solution on YOUR website!y=-5x-2
 Numeric_Fractions/384205: y=-5/6x+2 find the y-coordinates of the points (-6),(0) and (6) 1 solutions Answer 272036 by rfer(12646)   on 2010-12-10 19:55:45 (Show Source): You can put this solution on YOUR website!(-6,7) (0,2) (6,-3) plug in the number for x and solve for y
 Numeric_Fractions/384291: 3 3/4 x 8/9 x 4 9/12 = ?1 solutions Answer 272032 by rfer(12646)   on 2010-12-10 19:46:36 (Show Source): You can put this solution on YOUR website!15/4*8/9*57/12=6840/432=15 83/100
 Travel_Word_Problems/384247: what is the formula to this question officer bernhardt had to pick up a prisoner for a court appearance.if officer bernhardt traveled at 40 mph over the 9 miles to the county jail,how long did it take for the officer to get to the jail1 solutions Answer 272031 by rfer(12646)   on 2010-12-10 19:44:09 (Show Source): You can put this solution on YOUR website!t=D/r t=9/40 t=0.225 hrs = 13.5 min
 Linear-equations/384276: A student submitted the equation y=2x+4 y=6, y=8 I just can't seem to figure it out. if 6 is y that would be 6=2x+4 Right? What is next? Thank you for explaining it?1 solutions Answer 272030 by rfer(12646)   on 2010-12-10 19:41:37 (Show Source): You can put this solution on YOUR website!plug 6 in for y 6=2x+4 subtract 4 2=2x divide by 2 x=1 ------------------ 8=2x+4 4=2x x=2
 Sequences-and-series/384274: On a map, two cities are 1 1/2 in. apart. If 3/8 in. on the map represents 45 mi, find the number of miles between the two cities.1 solutions Answer 272020 by rfer(12646)   on 2010-12-10 18:37:59 (Show Source): You can put this solution on YOUR website!.375/45=1.5/x .375x=67.5 x=180 miles
 Quadratic_Equations/384275: the cost of renting a truck is \$39.99 for the first hour and \$19.99 for each additional hour.How long can can a person have the truck If the cost is to be less then \$ 1201 solutions Answer 272017 by rfer(12646)   on 2010-12-10 18:35:26 (Show Source): You can put this solution on YOUR website!(120-39.99)/19.99=less than 4 hrs
 Miscellaneous_Word_Problems/384268: A 614 page book was printed on paper specified as 0.00175 in. thick and finished with a cover 0.165 in. thick. What was the total thickness of the bound book?1 solutions Answer 272007 by rfer(12646)   on 2010-12-10 17:50:51 (Show Source): You can put this solution on YOUR website!(614*0.00175)/2+0.165*2=
 Equations/384265: In general, why might it be important to solve an equation for different variables? For example, the equation for degrees fahrenheit is given by F = 9/5 C + 32, where C is Degrees celsius. In this example why or when would we want to solve for C? 1 solutions Answer 272006 by rfer(12646)   on 2010-12-10 17:48:44 (Show Source): You can put this solution on YOUR website!To convert from fahrenheit to celsius
 Miscellaneous_Word_Problems/384263: The elevation at one of a lot is 184.25 ft, and the elevation at the other end is 98.03 ft. Express the difference in elevation in feet and inches and round to the nearest 1/8 in. 1 solutions Answer 272005 by rfer(12646)   on 2010-12-10 17:44:43 (Show Source): You can put this solution on YOUR website!184.25-98.03=86.22ft=86 ft 2 1/4 in
 Linear-equations/384219: Find the slope of the line passing through the pair of points.(-5, 5) and (9, 7) 1 solutions Answer 272004 by rfer(12646)   on 2010-12-10 17:37:05 (Show Source):
 Linear-equations/384221: Find the slope of the line passing through the pair of points.(-5, 5) and (9, 7) 1 solutions Answer 272003 by rfer(12646)   on 2010-12-10 17:36:01 (Show Source): You can put this solution on YOUR website!m=(7-5)/(9--5) m=2/14 m=1/7
 Vectors/384223: Find the distance from(2,-7) to the line defined by y=2x-6. Express as a radical or a number rounded to the nearest hundreth. 1 solutions Answer 272002 by rfer(12646)   on 2010-12-10 17:33:13 (Show Source): You can put this solution on YOUR website!1^2+2^2=c^2 1+4=5 sqrt5=2.236
 Percentage-and-ratio-word-problems/384233: One box of crackers contains 25% more than the other box. together the boxes weigh 54 oz, how much does each box weigh? 1 solutions Answer 272001 by rfer(12646)   on 2010-12-10 17:28:02 (Show Source): You can put this solution on YOUR website!x+1.25x=54 2.25x=54 x=24 oz 1.25x=30 oz
 Miscellaneous_Word_Problems/384255: The pressure reading coming out of a pump is 164 lb. It is estimated that every 50-ft section of hose reduces the pressure by 7 lb. What will the estimate pressure be at the nozzle end of nine 50-ft. sections.?1 solutions Answer 271998 by rfer(12646)   on 2010-12-10 17:24:43 (Show Source): You can put this solution on YOUR website!164-(7*9)=101 lbs