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Answer:
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
Step-by-step explanation:
The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:
40 - (3 x 2)
= 40 - 6
= 34 paddle boats.
The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.
Total Revenue = 34 x 6
= $204
<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>
Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
Answer:
2 1/2 months by the 3rd month
Step-by-step explanation:
