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1 year ago

CAN SOMEONE PLEASE HELP ME!

Mathematics

1 answer:

Grace [21]1 year ago

6 0

Answer:

A) 20 represents the amount of money saved in one month or amount saved per month. This is the slope or rate of change of the function.

B) 50 represents the amount of money already present in the account when she starts saving. This is the y-intercept of the function.

C) It will take 5 weeks for her to save $150

Step-by-step explanation:

A) 20 represents the amount of money saved in one month or amount saved per month. This is the slope or rate of change of the function.

B) 50 represents the amount of money already present in the account when she starts saving. This is the y-intercept of the function.

C) The time to reach $150

150 = 20(w) + 50

20(w) = 150 - 50

20w = 100

w = 100/20

w = 5

It will take 5 weeks

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation $y=-16x^2+224x+121$ . We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute $y=0$ in our given equation as:

$0=-16x^2+224x+121$

Let us solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}$

$x=\frac{-224\pm\sqrt{50176+7744}}{-32}$

$x=\frac{-224\pm\sqrt{57920}}{-32}$

$x=\frac{-224\pm240.66574}{-32}$

$x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}$

$x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}$

$x=-0.520804375, x=14.520804375$

Upon rounding to nearest 100th of second, we will get:

$x\approx -0.52, x\approx 14.52$

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

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2 years ago

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irakobra [83]

-3y-2+15=0 would be the answer

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3 years ago

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find the coordinates of p so that p partitions segment ab in the part to whole ratio of 1 to 4 with a(-5,4) and b(7,-4)

scoray [572]

Answer:

$p(x,y) = (-2.6 ,2.4)$

Step-by-step explanation:

Given

a(-5,4) and b(7,-4)

Required

Partition P

Given that the segment ab is divided into ratio;

The coordinates of point p can be calculated using ratio formula given below

$p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})$

Where m and n are the ratio; m = 1 and n = 4

$(x_1, y_1) = (-5,4); \\(x_2, y_2) = (7,-4)$

So,

$p(x,y) = (\frac{mx_2 + nx_1}{m+n} ,\frac{my_2 + ny_1}{m+n})$ becomes

$p(x,y) = (\frac{1 *7 + 4 * -5}{1+4} ,\frac{1 * -4 + 4 * 4}{1+4})$

$p(x,y) = (\frac{7 + -20}{5} ,\frac{-4 + 16}{5})$

$p(x,y) = (\frac{-13}{5} ,\frac{12}{5})$

$p(x,y) = (-2.6 ,2.4)$

Hence, the coordinates of p are (-2.6,2.4)

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3 years ago

Rogue Industries reported the following items for the current year: Sales = $3,000,000; Cost of Goods Sold = $1,500,000; Depr

Nataly_w [17]

Answer:

Rogue's operating income is $770000

Step-by-step explanation:

Given data

Sales = $3,000,000

Cost of Goods Sold = $1,500,000

Depreciation Expense = $170,000

Administrative Expenses = $150,000

Interest Expense = $30,000

Marketing Expenses = $80,000

Taxes = $300,000

to find out

operating income

solution

we find income by this formula that is given below

income = Sale - Cost of Goods Sold - Depreciation Expense - Administrative Expenses - Interest Expense - Marketing Expenses - Taxes

so put now all these value to get the income

income = 3,000,000 - 1,500,000 - 170,000 - 150,000 - 30,000 - 80,000 - 300,000

hence

so Rogue's operating income is $770000

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SVEN [57.7K]

(3,-2) it’s where the both lines meet

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