Gabriel lives and works in Michigan, which has a flat state income tax of
1 answer:
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<h2>Answer:</h2>
1. Between April 1 and May 1, Bob's price incrdased by <u>$0.50 or 15%</u>.
2. Between May 1 and June 1, Bob's price decreased by <u>$0.50 or 13%</u>.
3. Suppose that atgas station across the street, prices are always 20% higher than Bob's. In absolute dollar terms, the difference between Bob's prices and the prices across the street is <u>$0.1 more expensive</u> when gas costs $3.85 than when gas costs $3.35.
4. Suppose the Fed raises the target for the federal fundsb rate from 2% to 2.25%. This change of percentage points means that the Fed raised its target by approximately <u>0.25%</u>.
<h2>Step-by-step explanation:</h2><h3>1. Between April 1 and May 1, Bob's price incrdased by...</h3><em>Take the difference of the prices to find an absolute value:</em>
$3.85 - $3.35= $0.50.
<em>Use the following formula to find the relative value:</em>
C= |Original value - New value|/ Original value
=15%.
<em>Take the difference of the prices to find an absolute value:</em>
$3.85 - $3.35= $0.50.
<em>Use the following formula to find the relative value:</em>
C= |Original value - New value|/ Original value
=13%.
<em>In this question we are looking for the difference of a difference. </em>
<em>If the proces across the street are always 20% higher, to find how much the gallon costs just multiply the price by 1.20, to increase 0.2 or 20%:</em>
$3.85 * 1.20= $4.62.
<em>Now, to see how much expensive this price is compared to Bob's, take de difference between the prices:</em>
$4.62 - $3.85= $0.77.
<em>Do the same to find the difference between the gas prices when the price is $3.35.</em>
$3.35 * 1.20= $4.02.
$4.02 - $3.35= $0.67.
Now, find the difference of those differences:
$0.77 - $0.67= $0.1.
<h3>4. Suppose the Fed raises the target for the federal funds rate from 2% to 2.25%. This change of percentage points means that the Fed raised its target by approximately (blank).</h3><em>Find the difference between percentages:</em>
2.25% - 2%= 0.0225 - 0.02= 0.0025= 0.25%.
<em>Simpler method:</em>
2.25% - 2%= 0.25%.
Answer with Step-by-step explanation:
We are given that two matrices A and B are square matrices of the same size.
We have to prove that
Tr(C(A+B)=C(Tr(A)+Tr(B))
Where C is constant
We know that tr A=Sum of diagonal elements of A
Therefore,
Tr(A)=Sum of diagonal elements of A
Tr(B)=Sum of diagonal elements of B
C(Tr(A))= Sum of diagonal elements of A
C(Tr(B))= Sum of diagonal elements of B
Tr(C(A+B)=Sum of diagonal elements of (C(A+B))
Suppose ,A=
B=
Tr(A)=1+1=2
Tr(B)=1+1=2
C(Tr(A)+Tr(B))=C(2+2)=4C
A+B=
A+B=
C(A+B)=
Tr(C(A+B))=2C+2C=4C
Hence, Tr(C(A+B)=C(Tr(A)+Tr(B))
Hence, proved.