The answers are
- A. The equation for the profit from selling the items is P = 40x-0.5x²-300.
- b. The values of x are 10 and 70.
- c. It is not possible to have the profit of 2500
<h3>How to solve for the expression</h3>
We have the cost function in this question to be
C(x) = 60x+300
We have the function of the revenue to be
Revenue = 100x−0.5x²
A. The formula for revenue function is given
revenue - cost
This is expressed as
= (100x−0.5x²)-60x+300
We have to collect like terms and open the equation above.
This given us:
<h3>40x-0.5x²-300</h3>
B. when profit = 50$
We have p = 40x-0.5x²-300
50 = 40x-0.5x²-300
Multiply the two sides by 10
This gives
500 = 400x - 5x² - 3000
This gives a quadratic equation
5x² - 400x - 3500 = 0
To solve the equation you have to make use of a quadratic calculator.
This gives us the values
<h3>x = 10</h3><h3>x = 70</h3>
c. We have P = 40x-0.5x²-300.
at P = 2500
2500 = 40x-0.5x²-300.
Multiply the equation by 10
25000 = 400x - 5x² - 3000
collect like terms
400x - 5x2 - 3000 +28000
400x -5x2 +28000
We have to take the discriminant
-400² - 4*5*28000
= -400000
The discriminant is negative hence it is not possible.
Read more on quadratic polynomials here:
brainly.com/question/25841119
#SPJ1
If an odd number of minus signs are involved in a product or quotient, the sign of the result is negative. Otherwise, it is positive.
<u>Examples</u>:
(-1)(-1) = 1
(-1)(-1)(-1) = -1
(-1)/(-1) = 1
(-1)(-1)/(-1) = -1
-16/5
Step-by-step explanation:
calculating the gradient you use the formula change in y/change in X
subtract y coordinate -3-6=-5
subtract X coordinate -10-6 =-16
-16/5 = -16/5 or -3.2
We have been given an image of a circle. We are asked to find the measure of angle JKL.
We can see that angle JML is a central angle of our given circle, so measure of angle JML will be equal to measure of arc JL. So measure of angle JML will be 60 degrees.
We know that tangent of a circle is perpendicular to radius.
We can see that tangent KJ is tangent to circle at point J and tangent KL is tangent to circle at point L. This means that measure of angle KJM and angle KLM will be 90 degrees each.
We can see that JKLM is a quadrilateral. We know that all angles of a quadrilateral add up-to 360 degrees, so we can set an equation as:
Therefore, measure of angle JKL is 120 degrees and option B is the correct choice.
Answer:
£375
Step-by-step explanation:
The tax changed from 17.5% of the car's price to 20% of the car's price, an increase of 2.5% of the car's price.
The increased tax amount is ...
0.025 × £15000 = £375
The price of the car went up by £375 due to the increase in VAT.