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

$C=\frac{|OV-NV|}{OV}=\frac{|3.35-3.85|}{3.35} =0.15$ =15%.

<h3>2. Between May 1 and June 1, Bob's price decreased 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

$C=\frac{|OV-NV|}{OV}=\frac{|3.35-3.85|}{3.85} =0.13$ =13%.

<h3>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 (blank) when gas costs $3.85 than when gas costs $3.35.</h3>

<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%.

3 0

1 year ago

An art student wants to make a model of an ancient building. The length of the building is 3.2 times its width. The length of th

ivanzaharov [21]

Answer:

b. 22.2

Step-by-step explanation:

I put it as an equation.

3.2w=72

Then solved for w

3.2w/3.2=72/3.2

Simplify

22.5

8 0

2 years ago

Find the equation of the circle that passes through the point (-3,1) and has its center at C(-4,6)

qaws [65]

Answer:

(x+4)^2 + (y-6)^2 = 29

Step-by-step explanation:

The center-radius form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k)

Replacing the center C(-4,6):

(x+4)^2 + (y-6)^2 = r^2

then replacing the point (-3,1):

(-3+4)^2 + (1-6)^2 = r^2

1 + 25 = r^2

then the equation of the circle is:

(x+4)^2 + (y-6)^2 = 29

5 0

3 years ago