If f and h are inverses, then:
f (h(x) ) = x and also
h( f(x) ) = x
Answer:
(b) 1/792
Step-by-step explanation:
The complete question is;
<em>Counting: Grading One professor grades homework by randomly choosing 5 out of 12 homework problems to grade.</em>
<em>(a) How many different groups of 5 problems can be chosen from the 12</em>
<em>problems?</em>
<em>(b)Probability extension: Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?</em>
<u>In (a)</u>
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Apply the formula

where n=12 and r=5
substitute values

In (b)
If Jerry did only 5 problems of one assignment then the probability will be

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You can solve this by making a proportion.

you cross multiply and divide to solve this. your answer is 8.
Answer:
The amount that should be in the account after 15 years is $95,321.85
Step-by-step explanation:
According to the given data, we have the following:
monthly amount of $220=R
interest rate is fixed at 2.05%. We require the monthly ineterest rate, hence monthly interest rate= 2.05%/12=0.1708%=0.0017
t=15years×12=180 months
In order to calculate how much should be in the account after 15 years, we would have to use the following formula:
Ap=<u>R(1-(1+i)∧-t)</u>
i
Ap=<u>220(1-(1+0.0017)∧-180)</u>
0.0017
Ap=<u>162,04</u>
0.0017
Ap=$95,321.85
The amount that should be in the account after 15 years is $95,321.85
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