The round trip was 8 miles ( 4 + 4 = 8)
The total time for the trip is 3/10 + 1/2
Rewrite 1/2 as 5/10
Now add 3/10 + 5/10 = 8/10 = 4/5 hour for the 8 mile trip.
Now to find miles per hour, divide total miles by total time:
8 miles / 4/5 hour
When you divide by a fraction flip the fraction over and multiply:
8 x 5/4 = 40/4 = 10
The average rate was 10 miles per hour.
Answer:
<em>t = -1.1</em>
Step-by-step explanation:
3.1 - 1.3 = t + 2.9
1.8 = t + 2.9
-1.1 = t
t = -1.1
Answer:
b. There are horizontal and vertical asymptotes
Step-by-step explanation:
The graph is a hyperbola with asymptotes of x=0 and y=0
The given equations are:
1) 2y = -x + 9
⇒ x = 9-2y
2) 3x - 6y = -15
⇒3x = 6y - 15
x = 2y - 5
Equating the values of x, we get:
9 - 2y = 2y - 5
9 + 5 = 4y
14 = 4y
y = 3.5
Using this value of y in equation 1 we get:
x = 9 - 2(3.5) = 2
So, the solution set is (2, 3.5)
Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question
answer:
≈ 95 units ( output level )
Step-by-step explanation:
Given data :
P = 2000 - Q/10
TC = 2Q^2 + 10Q + 200 ( assumed value )
<u>The output level where a purely monopolistic market will maximize profit</u>
<u>at MR = MC </u>
P = 2000 - Q/10 ------ ( 1 )
PQ = 2000Q - Q^2 / 10 ( aka TR )
MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5
TC = 2Q^2 + 10Q + 200 ---- ( 2 )
MC = d (TC) / dQ = 4Q + 10
equating MR = MC
2000 - Q/5 = 4Q + 10
2000 - 10 = 4Q + Q/5
1990 = 20Q + Q
∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )
