Answer:
p^5 + q^5
Step-by-step explanation:
(p + q)^5
p^5 + q^5 Distribute the fifth power to the letters in the paranthesis
Answer:
30%
Step-by-step explanation:
130-91=39
39 / 130 =0.3
0.3x100=30
and you got the answer!
Answer:
No, not a probability distribution.
Step-by-step explanation:
It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.
Answer: 11/16
<u>Turn 1 7/8 into an Improper Fraction</u>
Multiply 1×8 and get 8. Now add 7 and get 15.
1 7/8 = 15/8
<u>Turn 2 8/11 into an Improper Fraction</u>
Multiply 2×11 and get 22. Now add 8 and get 30.
2 8/11 = 30/11
<u>Do Keep Change Flip</u>
Keep: 15/8
Change ÷ into ×
Flip: 30/11 into 11/30
Your New Problem: 15/8×11/30
<u>Multiply</u>
15/8×11/30=165/240
<u>Simplify</u>
165/240÷15/15=11/16
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%
