Answer:
- S(t) = 149999(1.06)^t
- $225543
Step-by-step explanation:
- Initial value is $149999
- Increase rate is 6% per year = 1.06 times
<u>The model of the growth is:</u>
- S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year
<u>Annual sales after 7 years:</u>
- S(7) = 149999(1.06)^7 = $225543
Answer:
<em>The least number of items to produce is 41</em>
Step-by-step explanation:
<u>Average Cost</u>
Given C(x) as the cost function to produce x items. The average cost is:
The cost function is:
And the average cost function is:
We are required to find the least number of items that can be produced so the average cost is less or equal to $21.
We set the inequality:
Multiplying by x:
Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.
Adding 20x:
Swapping sides and changing the sign:
Dividing by 41:
The least number of items to produce is 41
A minor league plays 101 games,
They win 14 more than twice as many as they lost.
How many wins and loses?
Okay, simple.
First, write a simple addition equation. In this case wins = w and losses = l.
l + w = 101.
Now, we have to figure out a way to make one of the terms the same term as the other, in this case we can change the terms of w to l.
l = l
w = 2l +14 (14 more than twice the amount)
Okay. So plug in the new amount for w.
l + 2l + 14 = 101. Great! we now have a simple equation. lets solve.
put similar terms together.
3l + 14 = 101
3l = 87
l = 29
So, we have 29 loses, and
w = 2(29) + 14
72 wins!
To check,
72 + 29 = 101, correct!
Hope this helps!
Answer:
Sorry the screenshot is black but i would like to help if you can repost, it?
Step-by-step explanation:
A monomial is an algebraic expression consisting of a single term.
