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dolphi86 [110]
3 years ago
14

Factor the expression completely. -6.75 +2.25x

Mathematics
1 answer:
NARA [144]3 years ago
4 0

Answer:

2,25[-3 + x]

Step-by-step explanation:

The Greatest Common Divisor [GCD] is 2,25; you factor that out, leaving the remaining result inside the brackets.

I am joyous to assist you anytime.

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How to simplify 25x^{2} + 49
Maksim231197 [3]

Answer:

5²x²- 49

Factoring: 25x2-49

A difference of two perfect squares, A²- B²can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A²- AB + BA - B²=

A² - AB + AB - B² =

A²- B²

25 is the square of 5

49 is the square of 7

x²is the square of x¹

(5x + 7) • (5x - 7)

6 0
3 years ago
Fran used a graphics program to reduce a digital image. The original dimensions of the image were 11 cm by 10 cm. She used a sca
Vitek1552 [10]
The new dimensions;
(11x0.6)cm by (10x0.6)cm
6.6cm by 6cm
4 0
3 years ago
50 POINTS PLEASE HELP
PIT_PIT [208]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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
4 years ago
What does the interest rate have to be, if a bank pays interest, compounded continuously and the amount doubles in 5 years?
allochka39001 [22]
Let the original amount be A.  Double that would be 2A.

Then, 2A = Ae^(r*5), or 2 = e^(5r).

Taking the natural log of both sides:  ln 2 = 5r.  Then r = (ln 2)/5 = 0.14

The interest rate would have to be 13.86% per year, written here as r=0.14.
3 0
3 years ago
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