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3 years ago

13

Molly read 75 pages of the latest thriller mystery novel in 45 minutes. What is her unit rate? At the same rate, how long will i

t take her to read the entire 425-page novel?

1 answer:

34kurt3 years ago

5 0

Wats up and I was just thinking about the same thing as you are asking but it is a very hard

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Solve for x <br> -12 = 12x + 36<br> PLS HELP ME!!!!!!

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Step-by-step explanation:

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What is the most precise name for quadrilateral ABCD with vertices A(-4, -4), B(-4, -2), C(-1, -2), and D(-1, -4)?

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3ft minus 5 inches to decimal feet. Report to the nearest hundredth of a foot.

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3 years ago

How much do you need to invest every month in an annuity to

Katen [24]

Answer:

A=25000 is the future value. P the value that we need to invest. r= 0.04 represent the interest rate in fraction. n = 12 represent the number of times that the rate is compounded in a year. t = 5 years.

If we solve for the value of P we got:

$P= \frac{A}{(1+ \frac{r}{n})^{nt}}$

And replacing we got:

$P= \frac{25000}{(1+ \frac{0.04}{12})^{12*5}} =20475.078$

And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000

Step-by-step explanation:

For this case we can use the future value with compound interest given by:

$A = P (1+ \frac{r}{n})^{nt}$

Where:

A=25000 is the future value. P the value that we need to invest. r= 0.04 represent the interest rate in fraction. n = 12 represent the number of times that the rate is compounded in a year. t = 5 years.

If we solve for the value of P we got:

$P= \frac{A}{(1+ \frac{r}{n})^{nt}}$

And replacing we got:

$P= \frac{25000}{(1+ \frac{0.04}{12})^{12*5}} =20475.078$

And rounded to the nesrest penny we need to invest $20475.08 in order to have after 5 years $25000

8 0

3 years ago

lesya [120]

Answer:

The equation in standard form is:

Rx+Py = -PR

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

m is the slope

b is the y-intercept

Given

The y-intercept (0, -R)

The x-intercept (−P, 0)

Finding the slope between (0, -R) and (−P, 0)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-R\right),\:\left(x_2,\:y_2\right)=\left(-P,\:0\right)$

$m=\frac{0-\left(-R\right)}{-P-0}$

$m=-\frac{R}{P}$

Thus, the slope between (0, -R) and (−P, 0) is:

$m=-\frac{R}{P}$

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We are given the y-intercept point (0, −R).

Thus, y-intercept b = -R

so substituting b = -R and $m=-\frac{R}{P}$ in the slope-intercept form to determine the line of the equation

$y = mx+b$

$y=-\frac{R}{P}x\:+\:\left(-R\right)$

$y=-\frac{R}{P}x\:-R$

So, the slope-intercept form of the line equation is:

$y=-\frac{R}{P}x\:-R$

Converting the slope-intercept form of the line equation into standard form

As we know that the equation in the standard form is

Ax+By=C

where x and y are variables and A, B and C are constants

As

$y=-\frac{R}{P}x\:-R$

so converting into standard form

Multiply the equation by P

Py = -Rx - PR

Add -Rx to both sides

Rx+Py = -Rx - PR + -Rx

Rx+Py = -PR

Therefore, the equation in standard form is:

Rx+Py = -PR

5 0

3 years ago