P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
I am assuming there are more than one juice box in a package so if the amount of juice boxes in each package is X and there are four packages 4X.
So 4X - 2= Answer
If we make it so that there are 6 juice boxes in each package and use the same method this is what we'll get:
24 - 2= 22
22 would be the juice boxes left over.
I hope this answers your question, if it doesn't use the same method with the number of juice boxes in a package.
Answer:
translate the equation mat at right into an equation. remember that the duble line represent equals
Step-by-step explanation:
To find the total amount Mrs. Johnson gave away, you need to know how much she gave the son. Because the ratio of the money given is 5:6, the amount of money he received has to be 5/6 of the money the daughter received.
So, the son received 5/6 of 2400.
To find this, multiply 5/6 x 2400 to get 2000.
The daughter received 2400 and the son received 2000, so the total amount Mrs. Johnson gave away is 4400 dollars.
Answer:
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss=$26
Step-by-step explanation:
Let the number of documents put together and prepared for mailing by Bill =x
Bill receives 25 Cents=$0.25 for every document
Therefore for x documents, Bill should receive: $0.25x
If Bill prepared 2000 documents for mailing
x=2000
The amount he should receive = $0.25 X 2000 =$500
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss
=500-474
=$26
