5/6 yards
Step-by-step explanation:
2 4/5 divided by 1 1/3
= 14/5 divided by 4/3
= 14/5 * 3/4
= 42/20
= 21/10
= 2 1/10
Final Answer: 2 1/10
The answer would be 9v ^4 + 27v ^3 - 36v^2
Step-by-step explanation:
You first would multiply each term in the parenthesis by 9v^2
9v^2 (v^2) + 9v^2 (3v) - 9v^2 (4)
After this you combine the like terms
9v^2 * v^2 is 9v^4
9v^2 * 3v is 27v^3
-9v^2 * 4 is -36v^2
Because you can not simplify it any smaller, this is your final answer
Answer:
23%
Step-by-step explanation:
If in any year there is a 12% chance that a mutual fund will outperform the market, that is in a mutually exclusive situation where the previous years performance is not considered. In this situation where trying to calculate the probability of a mutual fund outperforming the market 2 years in a row, the answer will be 23% as according to the calculations done by the financial analyst where the probability is calculated in a situation dependent on the previous years performance.
9514 1404 393
Answer:
Step-by-step explanation:
The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).
First Plan: y = 40 +0.13x
Second Plan: y = 53 +0.08x
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We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:
(y) -(y) = (40 +0.13x) -(53 +0.08x)
0 = -13 +0.05x
Multiplying by 20 gives ...
0 = -260 +x
Adding 260, we have ...
x = 260
The plans cost the same for 260 miles of driving.
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The cost of the plans for that distance is ...
y = 40 +0.13x = 40 +0.13(260) = 40 +33.80
y = 73.80
The cost when the two plans cost the same is $73.80.