3,503,832.97 hope this helps! :)
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6.
Step-by-step explanation
Find the diagram attached
First you must note that the sum of two supplementary angles is 180°
Also, since the sum of angle on a straight line is 180°, the angles that are supplementary must lie on the same straight line.
Based on the diagram, the pair of angles that lies on the same straight line are ∠4 and ∠3, ∠4 and ∠5 and ∠3 and ∠6. If that is the case, hence this angles are supplementary.
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:
56.16
We need to determine 24% of 234 now and the procedure explaining it as such
Step 1: In the given case Output Value is 234.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 234 = 100%.
Step 4: In the Same way, x = 24%.
Step 5: On dividing the pair of simple equations we got the equation as under
234 = 100% (1).
x = 24% (2).
(234%)/(x%) = 100/24
Step 6: Reciprocal of both the sides results in the following equation
x%/234% = 24/100
Step 7: Simplifying the above obtained equation further will tell what is 24% of 234
x = 56.16%
Therefore, 24% of 234 is 56.16
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