Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive
1. The "triangle inequality" states that any of the sides of the triangle, is larger than the difference of the other 2 sides (the larger minus the smaller), and it is smaller than the sum of them.
2. So the third side of this triangle must be larger than 14-8=6 (in) and smaller than 14+8=22 (in)
3. So let a denote the remaining side, then 6 < a < 22, which means a can be any number in between 6 and 22 inches.
The answer is B. Line.
That is because a point is just a dot and lane is represented by a rectangle or a parallelogram.
Hope this helps :)
Answer:
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon. Plug the values of a and p in the formula and get the area.
Step-by-step explanation:
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
