The only restraints on profit result from the restriction on the domain which in turn place a restriction on profit.

0≤k. Knives sold cannot be negative.

So the range of profit or p is:

p=[-500, +oo)

Profit increases as the number of knives sold increases. $200 more profit is gained by each sale of a knife.

4000=200k-500

4500=200k

k=22.5

Since k is for knives sold, it must be an integer value, so a $4000 profit is not possible. At 22, p=3900 and at 23, p=4100

3 0

3 years ago

A water tank holds 18000 gallons. How long will it take for the water level to reach 6000 gallons if the water is used at anaver

kkurt [141]

It should take approximately 27 days using the water at an average of. 450 gallons per day

5 0

3 years ago

What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

erastovalidia [21]

Answer:

The ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.

Step-by-step explanation:

Dimension of cylinder A,

Radius is 3 units and height is 4 units.

Dimension of cylinder B,

Radius is 5 units and height is 2 units.

The volume of a cylinder is given by :

$V=\pi r^2 h$

For cylinder A to B,

$\dfrac{V_A}{V_B}=(\dfrac{r_A}{r_B})^2\times \dfrac{h_A}{h_B}\\\\\dfrac{V_A}{V_B}=(\dfrac{3}{5})^2\times \dfrac{4}{2}\\\\\dfrac{V_A}{V_B}= \dfrac{18}{25}$

So, the ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.

3 0

3 years ago