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Answer: Equation: 4 
-2 
; estimate: a
little more than 2 inches; answer: 2 
inches.
Step-by-step explanation:
Answer:
20.508%
Step-by-step explanation:
1/2 chance for one free throw.
1/2*4/10=4/20=1/5
Therefore, 20.508%
Answer:
4 hours and 45 minutes.
Step-by-step explanation:
Since Christchurch is 2 hours ahead of Sydney, you subtract 2 from 12:45 and get 10:45 so then, you determine the difference between 10:45 and 6:00 AM and it results in 4.75 hours or 4 hours and 45 minutes
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>
==================
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%
