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2 years ago

Consider that lines u and v are parallel. Which equation models the relationship between the angles? What is the value of x?

Mathematics

1 answer:

Lina20 [59]2 years ago

5 0

Answer:

Step-by-step explanation:

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The rate of change in revenue for Under Armour from 2004 through 2009 can be modeled by dR /dt = 13.897t + 284.653 t where R is

MakcuM [25]

Answer:

The revenue is $R(9) = \$ 876.9$

Step-by-step explanation:

From the question we are told that

The rate of change in revenue for Under Armour from 2004 through 2009 is

$\frac{d R }{dt } = 13.897t + \frac{284.653}{t}$

Now

$dR = (13.897t + \frac{284.653}{t})dt$

Integrating both sides to obtain R(t)

$\int\limits dR = \int\limits (13.897t + \frac{284.653}{t})dt$

$\int\limits dR = \int\limits (13.897\frac{t^2}{2} + 284.653(ln (t)) ) + C$

=> $R(t) = 6.9485t^2 + 284.653(ln (t) ) + C$

From the question we have that at t = 8 $R(8)= \$ 725.2 \ million$

$725.2 = 6.9485(8)^2 + 284.653(ln (8) ) + C$

=> $C = -311.4$

$R(t) = 6.9485t^2 + 284.653(ln (t) ) -311.4$

At t = 9

$R(9) = 6.9485*(9)^2 + 284.653(ln (9) ) -311.4$

$R(9) = \$ 876.9$

7 0

2 years ago

A scatter plot containing the point (6, 8) has the regression equation yˆ=6x+4 . What is the residual e when x = 6?

Anna11 [10]

Residual is the difference between the y value of scatter plot and y value of regression equation

A scatter plot containing the point (6, 8), the y value of scatter plot is 8

y=6x+4, to get y value of regression equation we plug in 6 for x

y = 6(6) + 4 = 40

Residual e = y value of scatter plot - y value of regression equation

=8 - 40 = -32

Answer : e=-32

5 0

2 years ago

Read 2 more answers

A company purchased equipment and signed a 7-year installment loan at 9% annual interest. The annual payments equal $9,000. The

ANTONII [103]

First, we should apply the present value of annuity formula. It is $PV=A \frac{1- \frac{1}{(1+r)^{N}}}{r}$ and in this formula $\frac{1- \frac{1}{(1+r)^{N}}}{r}$ is the present value of annuity factor.

Then, we can find the present value of the annuity by writing that, $PV=9000 * 5.033 = 45297$ <span>
</span>

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2 years ago

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Martin is saving for a gaming system. The total cost of the gaming system and three games is $325.49. About how much money shoul

cestrela7 [59]

First you would do $325.49 divided by 20 and you would get $16.27. so you would need $16.27 a week.

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2 years ago

Mary Ann is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per

NikAS [45]

Answer:

Step-by-step explanation:

0.15

+3.00=3.15

3.15÷35=0.09

0.09×100=9

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2 years ago