<h3>
Answer: 42</h3>
Explanation:
We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c
where,
The vertex (h,k) is when the profit is maxed out.
h = -b/(2a)
h = -76/(2(-0.9))
h = 42.222 approximately
Let's plug in x values around x = 42
Try x = 41
y = -0.9x^2 + 76x - 250
y = -0.9(41)^2 + 76(41) - 250
y = 1353.10
Now try x = 42
y = -0.9x^2 + 76x - 250
y = -0.9(42)^2 + 76(42) - 250
y = 1354.4
Now try x = 43
y = -0.9x^2 + 76x - 250
y = -0.9(43)^2 + 76(43) - 250
y = 1353.9
We see that the largest profit happens when x = 42.
Answer:
1 year: $2060
2 years: $2121.80
3 years: $2185.45
Step-by-step explanation:
Compound interest formula is A = P(1 + 
) where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period, and t is the number of time periods elapsed. In our case, P would be equal to 2000 dollars, r would be equal to 0.03, for 3 percent, and our n value would just be one, so the final equation is:
First, let's evaluate t for 1, as in one year.
= 2000 x 1.03 = 2060
Two years: 2000 * 1.03 squared = 2121.80
Three years: 2000 * 1.03^3 = 2185.45!
Hope this helps!
Answer: 35%
1. 26 fiction books divided by all 40 books equals 65% fiction books.
2. Then do 100% - 65% to get 35%
OR
1. All 40 books minus 26 fiction books
= 14 nonfiction books.
2. Do 14 divided by 40 to get 0.35, = 35%
Answer:
6 and 8
Step-by-step explanation:
All you have to do is find the difference between the numbers in each factor pair and make sure the factors combine to give 48.
2 and 4 . . . . . have a difference of 2, but 2·4 ≠ 48
4 and 6 . . . . . have a difference of 2, but 4·6 ≠ 48
6 and 8 . . . . . have a difference of 2, and 6·8 = 48
24 and 2 . . . . do not have a difference of 2
