Mathematics, 24.07.2019 09:40 drewje12

(04.05 mc) the following table shows the expressions that represent the sales of 4 companies: company a b c d sales 110(0.70)x 140(1.07)x 430(1.90)x 310(1.14)x rank the company sales by smallest to largest percent of increase and select the correct answer below. (5 points) a, b, c, d a, b, d, c d, c, b, a d, c, a, b

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Answer from: zack66828

company a b c d

sales 110(0.70)^x 140(1.07)^x 430(1.90)^x 310(1.14)^x

in exponential function

$y=a(1+r)^x$

where 'r' is the increase rate

lets find percentage of increase for each company

company a = $110(0.70)^x$

1+r = 0.70 , so r= -0.30

percentage = -0.30* 100 = -3%

company b = $140(1.07)^x$

1+r = 1.07 > r = 1.07 -1 = 0.07 , so r= 0.07

percentage = 0.07* 100 = 7%

company c = $430(1.90)^x$

1+r = 1.90 > r = 1.90 -1 = 0.90 , so r= .90

percentage = .90* 100 =90%

company d = $310(1.14)^x$

1+r = 1.14 > r = 1.14 -1 = 0.14 , so r= 0.14

percentage = 0.14* 100 = 14%

-3%, 7%, 90%, 14%

now write the percentage in order (smallest to largest)

-3%, 7%, 14%, 90%

so order of company as per percent of increase is a, b, d, c

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

answer: y=4000x+14000

step-by-step explanation:

Estimate an equation for the line of best fit for the following scatterplot

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(04.05 mc) the following table shows the expressions that represent the sales of 4 companies: compa...

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