Answer:
The answer to your question is $36
Step-by-step explanation:
Data
Total money = $50
2 gallons of milk = $3
a loaf of bread = $2
a dozen of eggs = $3
Write an equation to solve this problem
Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost
Substitution
$3 + $2 + 3($3) + remainder = $50
Simplification
3 + 2 + 9 + remainder = 50
remainder = 50 - 3 - 2 - 9
result
remainder = $36
It increases the mean value of the prizes.
Answer:
The integral is equal to 
for an arbitrary constant C.
Step-by-step explanation:
a) If 
then 
so the integral becomes 
. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)
b) In this case 
hence 
. We rewrite the integral as 
.
c) We use the trigonometric identity 
is part b). The value of the integral is 
. which coincides with part a)
Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.
In the problem, the first equation should be represented like this base on the variable given in the problem:
20p + 9t = 44.4
with that equation, the second equation would is given by this formula, in response with the additional number of paperback and textbook
21p + 14t = 51
to get the system equation in getting the mass of each variable, you should subtract the two equation to simplified the formula.
20p + 9t = 44.4
- 21p + 14t = 51
-------------------------
p + 5t = 6.6 // this is the system equation that could be use in getting the mass of each object
Price after 9% increased 1800
Price before increase 1800-9%*1800
=1638
