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lara31 [8.8K]
3 years ago
10

BRAINLIEST!!! I need help ASAP how do I find the percent change from 1960 to 2000

Mathematics
1 answer:
SVEN [57.7K]3 years ago
4 0

Answer:

percentage change  from 1960 to 1970 =( 0.11 ÷0.25 ) × 100

                                 = 44 %  

Percentage change from 1970 to 1980 =( 0.83 ÷ 0.36) × 100

                                                                 = 230.55%

 percentage change from 1980 to 1990 = ( 0.16 ÷ 1.19) × 100

                                               = 13.44%

percentage change from 1990 to 2000 = (- 0.09 ÷ 1.35) × 100

                                             = -6.667%                                              

Step-by-step explanation:

Item : 1960      1970          1980           1990             2000

gallon: $0.25  $0.36        $1.19    $1.35                 $1.26

change : 0.36 - 0.25 = 0.11

percentage change  from 1960 to 1970 =( 0.11 ÷0.25 ) × 100

                                 = 44 %

 Percentage change from 1970 to 1980 =( 0.83 ÷ 0.36) × 100

                                                                 = 230.55%

 percentage change from 1980 to 1990 = ( 0.16 ÷ 1.19) × 100

                                               = 13.44%

percentage change from 1990 to 2000 = (- 0.09 ÷ 1.35) × 100

                                             = -6.667%                                              

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Step-by-step explanation:

Given the rational expression: \frac{2x + 3}{x^2 - 5x + 4}, to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

x^2 - 5x + 4

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Thus, we now have: \frac{2x + 3}{(x- 1)(x - 4)}

Step 2: Apply the concept of Partial Fraction

Let,

\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) = (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)

2x + 3 = A(x - 4) + B(x - 1)

Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

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B = \frac{11}{3}

Substituting x = 1 in 2x + 3 = A(x - 4) + B(x - 1)

2(1) + 3 = A(1 - 4) + B(1 - 1)

2 + 3 = A(-3) + B(0)

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Step 4: Plug in the values of A and B into the original equation in step 2

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