The tax rounded to the nearest penny would be $2.19 because you would round the 5 up.
y - 3
g(y) = ------------------
y^2 - 3y + 9
To find the c. v., we must differentiate this function g(y) and set the derivative equal to zero:
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3)
g '(y) = --------------------------------------------
(y^2 - 3y + 9)^2
Note carefully: The denom. has no real roots, so division by zero is not going to be an issue here.
Simplifying the denominator of the derivative,
(y^2 - 3y + 9)(1) - (y - 3)(2y - 3) => y^2 - 3y + 9 - [2y^2 - 3y - 6y + 9], or
-y^2 + 6y
Setting this result = to 0 produces the equation y(-y + 6) = 0, so
y = 0 and y = 6. These are your critical values. You may or may not have max or min at one or the other.
Answer:
The answer to the first one is 6
Step-by-step explanation:
If the time frame given is 9 months, then we can find that 9 months is 3/4 of a year. 3/4 x 2% = 0.015. 0.015 x 400 = 6. He would have made 6 dollars in 9 months.
Answer the the second one:
4.5% x 5 (years) = 0.225. 0.225 x 10,000 = 2,250. Since this is a car loan and not a bank interest for example, we add it to the total cost. I'm pretty sure its the third one.
Answer:
7,5 kg = 19,20.
Step-by-step explanation:
19,20/7,5
= 2,56 $
(2,56 * 7,5 =19,20)
Answer:
0 < x < 12
Step-by-step explanation:
Since it's given that side a and side b both have a length of 6, side c has to be 0 < x < 12.
