The equation that we can create from this situation is:
i = (190 – 5 x) * (29 + x)
where i is the income and x is the increase in daily rate
Expanding the equation:
i = 5510 + 190x – 145x - 5x^2
i = -5x^2 + 45x + 5510
Taking the 1st derivative:
di/dx = -10x +45
Set to zero to get the maxima:
-10x + 45 = 0
x = 4.5
So the cars should be rented at:
29 + x = 33.5 dollars per day
The maximum income is:
i = (190 – 5*4.5) * (33.5)
i = 5,611.25 dollars
The puppy weighs 48 ounces
Add 25 to both sides x-25 +25 =7 +25
x =32
Answer:
$3.00 < $15.00
Step-by-step explanation:
It is unusual to see a dollar amount with three digits to the right of the decimal point. (This sometimes happens when prices are expected to be multiplied by large quantities.) On the other hand, it sometimes happens that a period gets substituted for a comma. So, some relevant inequalities might be ...
$3.00 < $15
$3,000 > $15
Answer: k = -5
explanation-
distribute: -3k + -21 - 5k + 4= 23
combine: -8k -17 = 23
add 17 to both sides: -8k = 40
divide both sides by -8: k=-5