Answer: 175
<u>Step-by-step explanation:</u>
To find maximum, we need to find the vertex.
The x-value of the vertex is the number of automobiles that should be made and sold. <em>The y-value is the maximum profit.</em>
P(x) = -10x² + 3500x - 66,000
a=-10, b = 3500, c=-66,000
<u>BONUS:</u>
The maximum profit is: P(x) = -10(175)² + 3500(175) - 66,000
= -300,625 + 612,500 - 66,000
= 245,875
Answer:
4289.03 metres
Step-by-step explanation:
Given that standing on one side of the Mississippi River, you notice a tall tree directly across from you on the opposite bank. You walk 2000 meters along the bank and the tree is still visible, but at an angle of 65° to the bank
Visualise the right triangle formed by the river directly across in the first position , 2000 metres the distance walked along the bank and the line (here hypotenuse) joining you new position and the vertex opposite the bank
We have 65 degress angle has opposite side as width of river and adjacent side as 2000 m
Using trignometrical ratio
we get
, where x is the width of river
metres