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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) About Me  on 2010-12-11 15:55:45 (Show Source):
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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) About Me  on 2010-12-11 15:13:22 (Show Source):
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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) About Me  on 2010-12-11 15:10:21 (Show Source):
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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) About Me  on 2010-12-11 15:08:18 (Show Source):
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1600/0.25=6400


Systems-of-equations/384508: I need help on the problem: 3/5k=-24
1 solutions

Answer 272192 by rfer(12646) About Me  on 2010-12-11 15:07:16 (Show Source):
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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) About Me  on 2010-12-11 14:59:00 (Show Source):
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(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) About Me  on 2010-12-11 14:56:16 (Show Source):
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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 power
1 solutions

Answer 272187 by rfer(12646) About Me  on 2010-12-11 14:51:27 (Show Source):
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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) About Me  on 2010-12-11 14:43:48 (Show Source):
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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) About Me  on 2010-12-10 23:15:02 (Show Source):
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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) About Me  on 2010-12-10 22:55:02 (Show Source):
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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) About Me  on 2010-12-10 22:36:13 (Show Source):
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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 2.50
1 solutions

Answer 272071 by rfer(12646) About Me  on 2010-12-10 22:34:06 (Show Source):
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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) About Me  on 2010-12-10 22:16:33 (Show Source):
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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...lol
1 solutions

Answer 272053 by rfer(12646) About Me  on 2010-12-10 20:55:30 (Show Source):
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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) About Me  on 2010-12-10 20:48:50 (Show Source):
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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 -2
1 solutions

Answer 272037 by rfer(12646) About Me  on 2010-12-10 19:57:04 (Show Source):


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) About Me  on 2010-12-10 19:55:45 (Show Source):
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(-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) About Me  on 2010-12-10 19:46:36 (Show Source):
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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 jail
1 solutions

Answer 272031 by rfer(12646) About Me  on 2010-12-10 19:44:09 (Show Source):
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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) About Me  on 2010-12-10 19:41:37 (Show Source):
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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) About Me  on 2010-12-10 18:37:59 (Show Source):
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.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 $ 120
1 solutions

Answer 272017 by rfer(12646) About Me  on 2010-12-10 18:35:26 (Show Source):
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(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) About Me  on 2010-12-10 17:50:51 (Show Source):
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(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) About Me  on 2010-12-10 17:48:44 (Show Source):
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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) About Me  on 2010-12-10 17:44:43 (Show Source):
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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) About Me  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) About Me  on 2010-12-10 17:36:01 (Show Source):
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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) About Me  on 2010-12-10 17:33:13 (Show Source):
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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) About Me  on 2010-12-10 17:28:02 (Show Source):
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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) About Me  on 2010-12-10 17:24:43 (Show Source):
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164-(7*9)=101 lbs