Answer:
The percentage that the coat was reduced is 25%.
Step-by-step explanation:
A percentage is always out of a factor of 100.
40 x 2.5 = 100
30 x 2.5 = 75
75/100 = 3/4
1/4 is missing, which is the percentage.
1/4 = 0.25, or 25%
Hope This Helps!
Answer:
15.5925925926
Step-by-step explanation:
Answer:
Should be 4/7
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Answer:
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Step-by-step explanation:
- <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>
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Let the parts be x, y and z
<u>As per given we get below system of equations:</u>
- x + y + z = 25000
- 0.1x + 0.12y + 0.16z = 3200
- 0.1x + 0.2y = 0.16z
<u>Substitute 0.1x + 0.2y in the second equation:</u>
- 0.16z + 0.16z = 3200
- 0.32z = 3200
- z = 3200/0.32
- z = 10000
<u>Now we have:</u>
- x + y + 10000 = 25000 ⇒ x + y = 15000
and
- 0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600
<u>Multiply the second equation and then subtract the first one:</u>
- 10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
- x + 1.2y - (x + y) = 16000 - 15000
- 0.2y = 1000
- y = 10000
Then
<u>So the parts are:</u>
- $5000 at 10%, $10000 at 12% and 10000 at 16%
Answer:
-4
Step-by-step explanation:
Two legs of the triangle are congruent as shown by the tick marks. This means that this is an isosceles triangle; in an isosceles triangle, the two base angles are also congruent. Which means <A and <B are congruent.
So to solve for x, set 28 and 10x+68 equal to each other.
28=10x+68
First, subtract 68 from both sides
-40=10x
Then, divide both sides by 10
-4=x
If you want to check your answer plug -4 back into the original equation.
28=10(-4)+68
28=-40+68
28=28, which is true, therefore -4 is correct.
