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aev [14]
2 years ago
6

What is 6.8784 rounded to the nearest thousandth?

Mathematics
1 answer:
mixas84 [53]2 years ago
5 0

Answer:

6.878

Step-by-step explanation:

I took the quiz

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Prove the diagonals of the square with vertices P(0, 4), Q(4, 4), R(0, 0), and S(4, 0) are perpendicular bisectors of each other
const2013 [10]

Answer:

The slope of diagonal PS is -1.

The slope of diagonal QR is 1.

The midpoint of PS is (2, 2).

The midpoint of QR is (2, 2).

Perpendicular and share the same midpoint.

6 0
2 years ago
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6. Problems and Applications Q6 Consider an economy that produces only chocolate bars. In year 1, the quantity produced is 3 bar
natulia [17]

Answer:

Year 1 GDP Deflator is 100%

Year 2 GDP Deflator is 30%

Year 3 GDP Deflator is 14.29%

Inflation Rate between year 2 and year 3 is 50%

The Real GDP growth Rate for Year 2 and year 3 is 110%

Step-by-step explanation:

Year 1  

 Price of chocolate bar is $2 and 3 bars are sold that year so the real GDP is 3 x $2=$6 which we are also given that this year is the nominal base year so the nominal GDP is also $6. GDP is the sum of all market value produced products in an economy. Therefore that’s why we calculated as the price of a chocolate multiplied the number produced. To calculate the GDP Deflator will be as follows:

GDP Deflator= (nominal GDP/Real GDP) x 100

                      = ($6/$6) x 100

                       = 100%  

Year 2

Price of chocolate bars is $4 per bar and 5 bars were produced therefore Real GDP =$4 x 5 = $20, now we will calculate the GDP deflator as we have been told that year  is the nominal year therefore nominal GDP is $6.

GDP Deflator= (nominal GDP/Real GDP) x 100

                       = ($6/$20) x100

                        = 30%

Year 3

Price of chocolate bars is $6 per bar and 7 bars were produced therefore Real GDP =$6 x 7 =$42, now we calculate the GDP deflator as we have been told that year 1 is the nominal year therefore nominal GDP is $6.

GDP Deflator = (nominal GDP/ Real GDP) x 100

                      = ($6/$42)

                       =14.29%

Now we calculate the inflation rate between year 2 and year 3.we use the CPI (consumer price index to get the inflation rate for year 2 ad 3)

Consumer Price Index = (Current price of bar/previous price of bar) x 100 formula for CPI

                      = ($6/$4) x 100= 150%-100%

                         = 50% is the inflation rate as the consumer price gave us a positive value.

Now we compute the real GDP growth rate between year 2 and year 3

Real GDP growth rate = [  (current Real GDP- Previous Real GDP)/Previous Real GDP] x 100

                                      = ($42-$20)/$20

                                       = 110% so real GDP grew by 110% from year 2 to year 3.

8 0
2 years ago
There are 8 circles and 20 squares. what is the simplest ratio of circles to total shapes
charle [14.2K]

Answer: 2:7 is your answer

8 0
1 year ago
Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right
kompoz [17]

Answer:

LJ=15\ units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the length side KJ

In the right triangle JKM

Applying the Pythagoras Theorem

KJ^{2}=JM^{2}+KM^{2}

we have

JM=3\ units

KM=6\ units

substitute

KJ^{2}=3^{2}+6^{2}

KJ^{2}=45}

KJ=\sqrt{45}\ units

simplify

KJ=3\sqrt{5}\ units

step 2

Find the value of cosine of angle MJK in the right triangle JKM

cos(JKM)=JM/KJ

substitute the values

cos(JKM)=\frac{3}{3\sqrt{5}}

simplify

cos(JKM)=\frac{\sqrt{5}}{5} -----> equation A

step 3

Find the value of cosine of angle MJK in the right triangle JKL

cos(JKM)=KJ/LJ

we have

KJ=3\sqrt{5}\ units

cos(JKM)=\frac{\sqrt{5}}{5} ----> remember equation A

substitute the values

\frac{\sqrt{5}}{5}=\frac{3\sqrt{5}}{LJ}

Simplify

LJ=5(3)=15\ units

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Farmer gray has 30 flower pots he plants 10 seeds in each pot how many seeds does he plant?
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30 flower pots times 10 seeds in each equals 300 seeds
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