Answer: Therefore the demand function can be given as;
q = -3/2p + 1590
Step-by-step explanation:
Given that at;
$900 the monthly demand is 240. ....1
$850 the monthly demand is 315. ....2
Since, the function is a linear function. The demand function would be of the form;
q = mp + c ....5
Where q = quantity demanded
p = price m = slope and c = intercept
Substituting conditions 1 and 2 to the equation.
240 = 900m + c. ...3
315 = 850m+ c ...4
Subtracting eqn 4 from 3
-75 = 50m
m = -75/50
m = -3/2
Substituting m = -3/2 into equation 3;
We have,
240= -3/2(900) + c
c = 240 + 3/2(900)
c = 1590
Therefore the demand function can be given as; substituting m and c into equation 5, we have;
q = -3/2p + 1590
7X +3 equals 17: solve for x
Help! X= 2
Answer:
He stepped back 59.71 feet.
Step-by-step explanation:
Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.
For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.
Get x by itself to get 80/tan(68) = x
x = 32.32.
For the next triangle, the equation is the same but the angle is changed to 41.
tan(41) = 80/x
80/tan(41) = x
x = 92.03
Finally, subtract the smaller distance from the larger:
92.03 - 32.32 = 59.71 steps.
