Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be

where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by

where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)
Answer:
I think the answer is 32<em>cm²</em>
Step-by-step explanation:
A lot of mathematics using a calculator and checking all possible answers led me to this possible solution.
<h3>
Answer: D) 130.5 degrees</h3>
=================================================
Work Shown:

Note: I used the law of cosines. Make sure your calculator is in degree mode.
Answer: a) 
b) 
c) 
Step-by-step explanation:
Given : Number of students : 11
Number of faculty members : 13
Total persons : 
Total number of ways to structure a jury of six people from a group of 24 people :-

a) Number of ways of selecting a jury of all students :-

Then , the probability of selecting a jury of all students :-

b) Number of ways of selecting a jury of all faculty :-

Then , the probability of selecting a jury of all students :-

c) Number of ways of selecting a jury of two students and four faculty :-

Then , the probability of selecting a jury of all students :-
