<span>There are 100 * 99 = 9900 different ways to choose two students out of 100 bandmembers. You and our brother are 2 of that ways: you being selected first and you being selected second. Therefore the probability that you two are selected is 2 / 9900 = 0,000202. You can also think as the probability of you being selected among 100 bandmembers, which is 1/100, times the probability of your brother being selected among 99 members, which is 1/99 => (1/100) * (1/99) = 1/ (100*99) = 1 / 9900; plus the same for your brother being selected first and you second => [1/9900] * 2 = 2/9900, which is the same calculated above.</span>
The equation of the profit function is 300x - 3600
Total cost function C(x) = 74x + 3600
Total revenue function R(x) = 374x
The profit function is the difference between the total revenue and the total cost and this will be:
= R(x) - C(x)
= 374x - (74x + 3600)
= 374x - 74x - 3600
= 300x - 3600
In conclusion, the equation of the profit function is 300x - 3600
Read related link on:
brainly.com/question/24495359
An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47
From the information given;
- The principal amount of investment = $10,000
- Interest Rate = 8% = 0.08
- number of times it get compounded = 4
a. we are to determine the amount of the accumulated capital after 6 months.
- i.e. when time (t) = 6 months.
Now, using the formula for calculating the amount value of the accumulated capital:
A = $10,404
b. we are to determine the amount of the accumulated capital after 5 years
- i.e. when time (t) = 5 years
A = $14859.47
Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47
Learn more about compound interest here:
brainly.com/question/14295570?referrer=searchResults
<h3>
Answer: x = 4</h3>
==================================================
Explanation:
Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.
(interior angle C) + (interior angle D) = exterior angle
(46) + (-1+8x) = 18x+5
8x+45 = 18x+5
8x-18x = 5-45
-10x = -40
x = -40/(-10)
x = 4
