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kiruha [24]
3 years ago
6

If the Consumer Price Index (CPI) for 1989 was 124, the rate of inflation between the base period and 1989 was _ _ _ __? 24 perc

ent, 2.4 percent, 14 percent, 1.4 percent?
Mathematics
2 answers:
Allushta [10]3 years ago
6 0

Answer:

The correct option is 1.

Step-by-step explanation:

Formula for Consumer Price Index (CPI):

CPI=\frac{\text{Cost of market basket in current year}}{\text{Cost of market basket in base year}}\times 100

It is given that Consumer Price Index (CPI) for 1989 was 124.

\text{Rate of inflation}=\frac{CPI_x-CPI_0}{CPI_0}

Where, CPI_x is current consumer price index and CPI_0 is initial consumer price index.

The initial consumer price index is always 100.

\frac{124-100}{100}=0.24=24\%

Since If the rate of inflation between the base period and 1989 is 24%, therefore option 1 is correct.

Sliva [168]3 years ago
4 0
If the CPI for 1989 was 124, the rate of the inflation between the base period and 1989 was 24%!
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4 years ago
What is the measure of WUX in Circle V ?
Alja [10]

Answer:

arc\ WUX=120^o

Step-by-step explanation:

<u><em>The complete question is:</em></u>

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?

The picture of the question in the attached figure

step 1

Find the measure of angle XWV

we know that

The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)

we have

m\angle WXZ=30^o\\m\angle WXV=m\angle WXZ

so

m\angle WXV=30^o

Remember that an isosceles triangle has two equal interior angles

so

step 2

Find the measure of angle WVX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

m\angle\ WVX+m\angle XWV+m\angle WXV=180^o

substitute the given values

m\angle WVX+30^o+30^o=180^o\\m\angle WVX=180^o-60^o=120^o

step 3

Find the measure of arc WUX

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m\angle WVX=120^o

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4 0
4 years ago
A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th
Rufina [12.5K]

Answer:

Part 1) The base is 25\ in  and the height is 10\ in

Part 2) The base is 7.5\ in  and the height is 18.75\ in

Step-by-step explanation:

case 1) Right isosceles triangle of the left

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

y+x+y=45

2y+x=45 ----> equation A

\frac{x}{y} =\frac{5}{2}

x=2.5y -----> equation B

substitute equation B in the equation A

2y+2.5y=45

4.5y=45

y=10\ in

Find the value of x

x=2.5(10)=25\ in

case 2) Right isosceles triangle of the right

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

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\frac{y}{x} =\frac{5}{2}

y=2.5x -----> equation B

substitute equation B in the equation A

2(2.5x)+x=45

6x=45

x=7.5\ in

Find the value of y

y=2.5(7.5)=18.75\ in

3 0
3 years ago
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