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Recent problems solved by 'checkley75'
checkley75 answered: 3664 problems
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a. (4,-12) and (-6,4)
b. (18,28) and (-7,15)
Find the other endpoint of a line segment of a line segmetn with the given midpoint and endpoint:
a. midpoint (6,-1) endpoint (-9,0)
1 solutions
Answer 67945 by checkley75(3666)   on 2007-08-19 17:36:36 (Show Source):
You can put this solution on YOUR website!x=6+4=10 divide by 2 we get 10/2=5 for the x coordinate
y=12+4=16 divided by 2 we get 16/2=8 for the y coordinate .
thus the mid point is (5,8)
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x=18+7=25 divided by 2 we get 25/2=12.5 for the x coordinate
y=28-15=13 divided by 2 we get 13/2=6.5 for the y coordinate.
thus the mid point is (12.5,6.5)
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x=9+6=15 which is half of the line so we add 15 to 6=21 for the x end point
y=1 which is half of the line so we add -1-1=-2 to the -2 & we get 1 for the y coordinate. (21,-2) is the end point.
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THE PROOF IS IN THE GRAPHING OF THESE PROBLEMS. :-)
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test/93327: Write an algebraic equation for the english statement "subtract 5 from the sum of x and 7 times and the result is 20
1 solutions
Answer 67944 by checkley75(3666) on 2007-08-19 17:24:28 (Show Source):
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Functions/93302: I think I have the answer to this problem, but I am not sure. Can someone please check my work?
Given f(x)=5x^2-3x+1, find f(-2):
I got 27, is this correct?
Thank you for your help!
1 solutions
Answer 67943 by checkley75(3666) on 2007-08-19 17:22:45 (Show Source):
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Expressions-with-variables/93314: Can you please help me with this problem? Solve for x. x+2y= -1
3x-4y= 27
I think I am supposed to solve for the y variable in one problem, then plug it in for the next one. I'm not sure though. Thank you in advance!!!
1 solutions
Answer 67939 by checkley75(3666) on 2007-08-19 17:15:14 (Show Source):
You can put this solution on YOUR website!x+2y=-1
x=-2y-1 now substituting (-2y-1) for x in the other equation we get:
3(-2y-1)-4y=27
-6y-3-4y=27
-10y=27+3
-10y=30
y=30/-10
y=-3 answer.
x=-2*-3-1
x=6-1
x=5 answer.
proof
3*5-4*-3=27
15+12=27
27=27
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Rectangles/93266: I am having trouble with this word problem. Find an expression that represents its perimeter.  Length  Width
How do I solve this problem? Please help me.
1 solutions
Answer 67925 by checkley75(3666) on 2007-08-19 13:58:17 (Show Source):
You can put this solution on YOUR website!perimeter=2L+2W
P=2[(2X+1/5)]+2[4/(3X+1)]
P=(4X+2)/5+8/(3X+1)
P=[(4X+2)(3X+1)+8*5]/5(3X+1)
P=(12X^2+10X+2+40)/15X+5
P=2(6X^2+5X+20)/5(3X+1) ANSWER.
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Rectangles/93286: Find the perimeter of a square whose diagonal measures 12in.
1 solutions
Answer 67922 by checkley75(3666) on 2007-08-19 13:44:49 (Show Source):
You can put this solution on YOUR website!The 2 sides of a square & the diagonal form a right triangle with equal sides.
Thus the equation for the diagonal is:
d^2=s^2+s^2
12^2=2s^2
2s^2=144
s^2=144/2
s=sqrt72
s=8.49 for the sides.
thus the perimeteris=4*side or:
4*8.49=33.96 is the perimeter.
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Linear_Equations_And_Systems_Word_Problems/93293: Solve using a two-order system.
One number is 3 less than twice another. If their sum is 39, find the numbers.
Solve using a two- order system.
John made a rectangular pen for his dog using 28 feet of fencing.
If the width of the pen is 2 feet more than one-half the length, what are the length and width of the pen?
1 solutions
Answer 67920 by checkley75(3666) on 2007-08-19 13:38:50 (Show Source):
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Permutations/93300: The menu at a restaurant has 11 appetizers, 15 entrees, 10 desserts, and 8 beverages. The restaurant offers a dinner special that includes 1 appetizer, 1 entree, 1 dessert, and 1 beverage. In how many ways can a person order a dinner special at this restaurant?
1 solutions
Answer 67919 by checkley75(3666) on 2007-08-19 13:35:52 (Show Source):
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Travel_Word_Problems/93296: A man travels for Town X to Town Y at an average rate of 50 mph and returns at an average rate of 40 mph. He takes 1/2 hr. longer than he would take if he made the round trip at an average of 45 mph. What is the distance from Town X to Town Y?
1 solutions
Answer 67917 by checkley75(3666) on 2007-08-19 13:34:13 (Show Source):
You can put this solution on YOUR website!d/50+d/40=(2d/45)+.5
(40d+50d)/2000=(2d+22.5)/45
90d/2000=(2d+22.5)/45 now cross multiply.
45*90d=4000d+45000
4050d-4000d=45000
50d=45000
d=45000/50
d=900 miles for the trip fron x to y.
proof
900/50+900/40=1800/45+.5
18+22.5=40+.5
40.5=40.5
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Travel_Word_Problems/93052: The Joneses drove to their parents house at 45km/h. The return trip took 1 hour less because they traveled at 60km/h. How long did it take for them to get home?
1 solutions
Answer 67895 by checkley75(3666) on 2007-08-19 08:27:34 (Show Source):
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percentage/93255: I need help with this problem please:
Lane invested $14,000, part at 15% and part at 2%. If the total interest at the end of the year is $1,060, how much did she invest at 15%?
Thanks for your help!
1 solutions
Answer 67889 by checkley75(3666) on 2007-08-19 08:07:24 (Show Source):
You can put this solution on YOUR website!.15X+.02(14000-X)=1060
.15X+280-.02X=1060
.13X=1060-280
.13X=780
X=780/.13
X=6,000 INVESTED @ 15%
PROOF
.15*6000+.02*8000=1060
900+160=1060
1060=1060
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Bodies-in-space/93229: jimmy works on a farm. one of his jobs is to fill up the liquid fertilizer tanks when the farmer is spreading the fertilizer. each tank is a cylinder with a diameter of 6 ft. and a height of 4ft. if there seven tanks and 1 cubic foot=7.5 gallons of liquid. how many gallons of fertilizer will all the tanks hold?
1 solutions
Answer 67871 by checkley75(3666) on 2007-08-18 21:35:19 (Show Source):
You can put this solution on YOUR website!V=B*H WHERE B= BASE AREA & H=HEIGHT
V=3.14*3^2*4
V=113.04 CUBIC FT. PER TANK.
7*113.04=791.28 TOTAL CUBIC FEET.
791.28*7.5=5,934.6 GALLONS OF FERTILIZER.
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Bodies-in-space/93132: a pile of sand is in the shape of a cone. if the pile is 4 meters high and has a diameter of 7 meters, how many cubic meters of sand is in a pile?
1 solutions
Answer 67847 by checkley75(3666) on 2007-08-18 17:24:52 (Show Source):
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logarithm/93147: This question is from textbook
I am in need of great assistance...calling on experts for this pitiful student. I don't get algebra, I don't get it..I don't get it......My mind is flying with variables that I cannot think straight. I have been working on this problem for two days (screaming)....
11.)The formula for calculating the amount of money returned for an initial deposit into a bank account or CD (certificate of deposit) is given by
A = P(1+r/n)^nt
A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.
Carry all calculations to six decimals on each intermediate step, then round the final answer to the nearest cent.
Suppose you deposit $2,000 for 5 years at a rate of 8%.
a)Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the hundredth's place.
b)Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the hundredth's place.
c)Does compounding annually or quarterly yield more interest? Explain why.
d)If a bank compounds continuously, then the formula used is A=Pe^rt
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the hundredth's place.
e)A commonly asked question is, How long will it take to double my money? At 8% interest rate and continuous compounding, what is the answer? Round your answer to the hundredth's place.
I am totally lost with this. Can someone help me. S.O.S.
1 solutions
Answer 67846 by checkley75(3666) on 2007-08-18 17:18:06 (Show Source):
You can put this solution on YOUR website!A=2000(1+.08/1)^1*5
A=2000(1.08)^5
A=2000*1.469
A=$2,938.66 INTEREST FOR 5 YEARS PAID ANNUALLY.
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A=2000(1+.08/4)^4*5
A=200(1+.02)^20
A=2000(1.02)^20
A=2000*1.4859
A=$2,971.89 INTEREST FOR 5 YEARS PAID QUARTERLY.
QUARTERLY PAYMENTS ARE GREATER BECAUSE YOU ARE EARNING INTEREST ON INTEREST QUICKER. BY QUARTERS RATHER THAN BY YEAR.
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ASSUMING YOU WANT A 5 YEAR INVESTMENT COMPOUNDED CONTINUOUSLY @ 8% THEN:
A=2000*2.7183^.08*5
A=5436.6^.4 CAN'T CONTINUE AS I HAVE RUN OUT OF STEAM HERE ON THE FRACTIONAL EXPONENT. SORRY.
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Money_Word_Problems/93212: Please help me solve this: How many pounds of tea worth $1.50 per pound should be mixed with tea worhth $1.70 per pound to make 40 pounds of blended teas to sell at $1.55 per pound? Thank you
1 solutions
Answer 67842 by checkley75(3666) on 2007-08-18 16:47:52 (Show Source):
You can put this solution on YOUR website!1.70X+1.50(40-X)=1.55*40
1.70X+60-1.50X=62
.20X=62-60
.20X=2
X=2/.20
X=10 POUNDS OF 1.70 COFFEE
40-10=30 POUNDS OF 1.50 COFFEE
PROOF
1.70*10=1.50*30=62
17+45=62
62=62
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Volume/93213: If 10 cubic feet of water weigh approximatley 625 pounds, what is the weight of the water in a box shaped container, measuring 3 yards by 5 yards by 2 feet, that has been filled to capacity with water? Thanks
1 solutions
Answer 67841 by checkley75(3666) on 2007-08-18 16:44:35 (Show Source):
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Numeric_Fractions/93214: A defence attorney charges her client $4000 plus $120 per hour. The formula R=120n + 4000 gives her revenue in dollars for n hours of work. What is her revenue for 100 hours of work? What is her revenue for 101 hours of work? By how much did the one extra hour of work increase the revenue?
Please help me. Thank you in advance
1 solutions
Answer 67840 by checkley75(3666) on 2007-08-18 16:40:10 (Show Source):
You can put this solution on YOUR website!R=120N+4000
R=120*100+4000
R=12000+4000
R=16000 FOR 100 HOURS.
R=120*101+4000
R=12120+4000
R=16120 FOR 101 HOURS OR AN INCREASE OF 16120-16000=$120.
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Volume/93131: a cylindrical water tower has a radius of 10ft. and a height of twelve feet. what is the weigth of the water tower when it is full if one cubic foot of water weighs8.1 pounds
1 solutions
Answer 67794 by checkley75(3666) on 2007-08-17 20:56:11 (Show Source):
You can put this solution on YOUR website!Volume of this tower is: area of base=2piR
base=2*3.14*10
base=6.28*10
base=62.8 ft^2
volume=height*base
volume=12*62.8
volume=753.6 ft^3 is the volume;
753.6*8.1=6104.16 pounds is the weight of the water in the tower.
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