Understanding the Question
This may not be the actual way that the US government prepares the CPI, but it will provide a comparison.
You can set up a proportion. The base number for the CPI is 38.8 in 1970. That number (38.8) has more than doubled to get to 82.4, which also tells us that there was inflation. What your parents and grandparents bought in 1970 went to double the amount in 1980. Gasoline certainly did that.
Givens
CPI in 1970 = 38.8
CPI in 1980 = 82.4
Eggs 1970 = 0.25
Edgs 1980 = X
Formula substitution and solution
CPI 1970 / CPI 1980 = cost of eggs 1970 / cost of eggs 1980
38.8/82.4 = 0.25 / x Cross multiply
38.8 * x = 0.25 * 82.4
38.8 * x = 20.625
x = 20.628 /38.8
x = 0.53 dollars of 53 cents.
53 cents in 1980 which is slightly double as predicted.
Footnote
As a matter of interest, my wife tells me that eggs now cost about 3.58 where we live. That's almost 7 times as expensive as they were in 1980. Something to think about. By the way, the price quoted is in Canada.
The least common denominator is 5y, and can be obtained by multiplying
-1/y by 5/5 to get -5/5y.
If we add the numbers using the least common denominator, we get:
-5/5y + 2/5y = -3/5y
Answer:
Step-by-step explanation:
As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by x=-b/(2a) where a = -34 and b = 1542:
x=-1542/(2)(-34)
x=-152/-68
x=152/68
We put this value of "x" into the original formula to find out the value of "y":
y=-34x^2+1542x-10037
y=(-34)(1542/68)^2+1542(1542/68)-10037
y= -17483.5588235 + 34967.1176471 -10037
y=7446.5588236
Therefore, the maximum profit would be $7446.56.
Hope this helps!
PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME
Divide both sides by the numeric factor on the left side then solve x=9
Answer:
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Step-by-step explanation: