A set of pens sells for $5.25 and costs $1.80 to make. Forty percent of the profit (the difference between the purchase price an
1 answer:
You might be interested in
Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3 + 40x
Let dV / Dx = 0, we have:
-3 + 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
t=6 months
Step-by-step explanation:
We are given that the number of people playing a new phone app game triples every month
When the app first launch , the number of people started playing the game right away=800
According to question
The number of peoples are currently playing the game=194,400
We solve by using the formula of geometric series because we get a geometric series pattern
The number of people playing the game when app game launch=800
The number of people playing game after one month=2400
800,2400,7200,........,194,400
We are finding common ratio
Hence, the common ratio is 3 therefor nth term of G.P
a=800,r=3,
Substitute the values then we get
When base are same on both side then the power are equals
Therefore, t-1=5
t=5+1=6
Hence, when there are 194,400 people currently playing the game then
the number of months ,t=6 that have passed since the app launched.