150 is the amount of interest earned for one year because the formula of PRT is, in this case 5000 times 0.03 times one which gets you the answer of 150.
Answer:
Step-by-step explanation:
Add the fractions by finding the greatest common factor of them all. if not any break up into 2 then add the other fraction to i
Answer:
(10,−86)
Step-by-step explanation:
1. The formula for calculate the perimeter of a rectangle, is:
P=2L+2W
P is the perimeter of the rectangle (P=320 feet).
L is the lenght of the rectangle.
W is the width of the rectangle.
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2. The problem says that the length of the rectangle is three times the width, so you have:
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L=3W
3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:
P=2L+2W
320=2(3W)+2W
320=6W+2W
8W=320
W=320/8
W=40 feet
4. The barn forms one end of the rectangle. Therefore the linear feet of fence (x) is:
x=P-W
x=320 feet-40 feet
x=280 feet
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How many linear feet of fence must he buy?
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The answer is: 280 feet
x = quarts of 30% acid solution
y = quarts of 65% solution
x + y = 175
Each quart of the 30% solution contributes 0.30x quarts of acid; similarly, each quart of the 65% solution contributes 0.65y quarts of acid. So
0.3x + 0.65y = 0.55*175 = 96.25
That is, the chemist wants 175 quarts of a new mixture with a 55% concentration of acid, which comes out to 95.25 total quarts of acid. The total amounts of acid from either sides of this equation must balance out.
Now solve for x and y:
x + y = 175 ==> y = 175 - x
0.3x + 0.65y = 96.25 ==> 0.3x + 0.65(175 - x) = 96.25
==> 0.3x + 113.75 - 0.65x = 96.25
==> 17.5 = 0.35x
==> x = 50 ==> y = 125
