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2 years ago

The expression 11(1.022)^t11(1.022)

Mathematics

1 answer:

Lena [83]2 years ago

6 0

Answer: growth factor = 1.022

Step-by-step explanation:

The expression 11(1.022)^t is an exponential expression where the rate of increase is 2.2%

What 1.022 represent in this equation is the growth factor of per capita gross domestic product (GDP) of the US

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The volume of a cube is given by v=x^3 where x is the length of an edge find the rate at which the volume is changing with respe

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The volume (when x = 10) would be 1,000 cubic units (10^3).

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2 years ago

A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate each minute?

Dima020 [189]

Answer:

48 Cubic Inches

Step-by-step explanation:

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2 years ago

Why is the absolute value used to find distances on a coordinate plane? Choose the correct answer below.

Vedmedyk [2.9K]

Answer: B

Step-by-step explanation:

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2 years ago

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Chuck chooses an investment plan that requires him to make a one-time investment of $10,000, and then equal monthly investments

Pepsi [2]

As the function is

y = 10,000 + 350x , Here x is the number of months elapsed and y is the amount after x number of months.

This function is for the form

y = mx +b or y = b +mx

which is the form of a linear equation

So the given function is a linear function.

So a is true

a)The function is a linear function.

Also The function is increasing at a constant rate , So options C and E are also correct

A, C and E

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2 years ago

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Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Paraphin [41]

we know that

If two lines are parallel, then, their slopes are equal.

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we will proceed to calculate the slope in each case, to determine the solution of the problem

Case A) Point $B(5,2)\ C(7,-5)$

Find the slope BC

Substitute the values in the formula

$m=\frac{-5-2}{7-5}$

$m=\frac{-7}{2}$

$m=-3.5$

The equation $y=-3.5x-15$ is parallel to the line passing through the points $B(5,2)\ C(7,-5)$

therefore

the answer Part A) is

$B(5,2)\ C(7,-5)$ ------> $y=-3.5x-15$

Case B) Point $D(11,6)\ E(5,9)$

Find the slope DE

Substitute the values in the formula

$m=\frac{9-6}{5-11}$

$m=\frac{3}{-6}$

$m=-0.5$

The equation $y=-0.5x-3$ is parallel to the line passing through the points $D(11,6)\ E(5,9)$

therefore

the answer Part B) is

$D(11,6)\ E(5,9)$ ------> $y=-0.5x-3$

Case C) Point $F(-7,12)\ G(3,-8)$

Find the slope FG

Substitute the values in the formula

$m=\frac{-8-12}{3+7}$

$m=\frac{-20}{10}$

$m=-2$

Any linear equation with slope $m=-2$ will be parallel to the line passing through the points $F(-7,12)\ G(3,-8)$

Case D) Point $H(4,4)\ I(8,9)$

Find the slope HI

Substitute the values in the formula

$m=\frac{9-4}{8-4}$

$m=\frac{5}{4}$

$m=1.25$

The equation $y=1.25x+4$ is parallel to the line passing through the points $H(4,4)\ I(8,9)$

therefore

the answer Part D) is

$H(4,4)\ I(8,9)$ ------> $y=1.25x+4$

Case E) Point $J(7,2)\ K(-9,8)$

Find the slope JK

Substitute the values in the formula

$m=\frac{8-2}{-9-7}$

$m=\frac{6}{-16}$

$m=-0.375$

Any linear equation with slope $m=-0.375$ will be parallel to the line passing through the points $J(7,2)\ K(-9,8)$

Case F) Point $L(5,-7)\ M(4,-12)$

Find the slope LM

Substitute the values in the formula

$m=\frac{-12+7}{4-5}$

$m=\frac{-5}{-1}$

$m=5$

The equation $y=5x+19$ is parallel to the line passing through the points $L(5,-7)\ M(4,-12)$

therefore

the answer Part F) is

$L(5,-7)\ M(4,-12)$ ------> $y=5x+19$

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2 years ago

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