Answer:
A:(1/3x)+(x-2/4x^2+9)
Step-by-step explanation:
Edg2022
Given :
The Mad Hat Company must ship two different-sized boxes: The small ones cost them 45 cents each and weigh 6 ounces, and the large ones weigh 25 ounces and cost $1.20 each.
The total shipment this morning weighed 20 pounds 7 ounces and cost $18.45.
To Find :
How many packages of each size were shipped.
Solution :
We know, 1 pound = 16 ounces.
So, 20 pound = 20×16 = 320 ounces.
Let, number of large and small box are l and s.
So,
25l + 6s = 327 ...1)
0.45s + 1.20l = 18.45 ...2)
Solving both the equations, we get :
x = 9 and y = 17
Therefore, package smaller and big size are 17 and 9 respectively .
Hence, this is the required solution.
Answer:
6.4 and 6.5
Step-by-step explanation:
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
Profit=Total revenue - total cost
Profit is achieved:
when total revenue is greater than total cost
TR>TC
Or
When total cost is less than total revenue
TC<TR
From the question
Total cost=1800+10c
Total revenue=15c
Profit=TR>TC or TC<TR
15c>1800+10c
Or
1800+10c<15c
Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC
Since
represents the number of years passed since 2005, in 2005 we have
, and in 2015 we have
. Let
represent the profits of Jones and Davis, respectively, at year y.
We have


Choosing the best company somehow depends on how much time you can wait: Jones start with a higher value (10 vs 8), but it has a descending trend, because the multiplicative factor
goes to zero as t grows.
On the other hand, Davis starts with a smaller value, but
tends to infinity as t grows.
So, if you need an immediate result, the most valuable company is Jones, otherwise you're certain can Davis will eventually become bigger.
More precisely, we have

So, after 11 years, Davis will overcome Jones.