The price p based on the equation given is p = 3000 - 0.1x.
<h3>How to express the price?</h3>
The equation given in the question is x = 3000 - 10p. The price(p) will be:
x = 3000 - 10p.
Make p the subject of the formula
x + 10p = 3000
10p = 3000 - x
p = (3000 - x)/10
p = 3000 - 0.1x
The revenue will be price multiplied by quantity. This will be:
= (3000 - 0.1x) × x
= 3000x - 0.1x²
The marginal revenue will be calculated after differentiating. This will be:
= 3000x - 0.1x²
= 3000 - 0.2x
The demand which is the quantity based on the information will be:
3000 - 0.2x = 0
0.2x = 3000
x = 1500
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Answer:
The length of the patio is 32 ft and the width is 13 ft
Step-by-step explanation:
see the attached figure to better understand the problem
Let
L ----> the length of his patio
W ---> the width of his patio
we know that
----> equation A
----> equation B
substitute equation B in equation A and solve for W
Find the value of L
----> 
therefore
The length of the patio is 32 ft and the width is 13 ft
Answer:
The linear function with the smallest slope must be multiple of one of the other two linear functions if all functions are coplanar. Otherwise, they intersect at the given point in space.
Step-by-step explanation:
A system of two linear functions with two variables have an unique solution on a given plane, as there are three linear function, it means that linear function with the smallest slope must be multiple of one of the other two linear functions.
But, if those functions are not all coplanar and have 3 variables, they intersect at the given point.
Answer:
$148.50.
Step-by-step explanation:
Hourly wage for time and a half = 11 * 1.5
=$16.50
For 9 hours she earns 16.50 * 9
= $148.50.
Answer:
ok so first we know that 1/3 of a hour is 20 minutes since
60*1/3=20
so every 20 minutes 1/15 of the lawn is mowed then we need to just multiply 20 by 15
20*15=300
300 minutes or 5 hours
Hope This Helps!!!
