Line passing through point (-2, -3) with a slope of -6 is (y - (-3)) = -6(x - (-2)) => y + 3 = -6(x + 2)
Given that for each <span>$2 increase in price, the demand is less and 4 fewer cars are rented.
Let x be the number of $2 increases in price, then the revenue from renting cars is given by

.
Also, given that f</span><span>or each car that is rented, there are routine maintenance costs of $5 per day, then the total cost of renting cars is given by

Profit is given by revenue - cost.
Thus, the profit from renting cars is given by
</span><span>

For maximum profit, the differentiation of the profit function equals zero.
i.e.
</span><span>

The price of renting a car is given by 48 + 2x = 48 + 2(8) = 48 + 16 = 64.
Therefore, the </span><span>rental charge will maximize profit is $64.</span>
Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding
:
Answer: 1.07
Step-by-step explanation: multiply the percentage. for ex: 17.75 X .06 = 1.065
Answer: $0.58
<u>Step-by-step explanation:</u>
Let x represent pencil and y represent eraser
10x + 7y = 4.23 → 1(10x + 7y = 4.23) → 10x + 7y = 4.23
3x + y = 0.95 → -3(3x + y = 0.95) → <u>-21x - 7y</u> =<u> -6.65 </u>
-11x = -2.42
<u>÷-11 </u> <u>÷-11 </u>
x = 0.22
3x + y = 0.95
3(0.22) + y = 0.95
0.66 + y = 0.95
y = 0.29
2y = 2(0.29) = 0.58