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3 years ago

write the equation if the line in slope- intercept form that passes through (7,-4) with a slope of -1.

Mathematics

1 answer:

QveST [7]3 years ago

7 0

9514 1404 393

Answer:

y = -x +3

Step-by-step explanation:

The point-slope form can be a useful place to start.

y -k = m(x -h) . . . . . line with slope m through point (h, k)

You require the line ...

y -(-4) = -1(x -7)

y = -x +7 -4 . . . . . . . . eliminate parentheses, add -4

y = -x +3 . . . . . . . . . slope-intercept form

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If a measured distance of 10 inches on your map represents an actual distance of 20 miles, what is the fractional scale of the m

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3 years ago

A container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 13 ft.

pychu [463]

Answer:

the volume of the container is $28\ ft^{3}$

Step-by-step explanation:

we know that

To find the volume of the container calculate the volume of one wooden cube block and multiply by 756

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3 years ago

Read 2 more answers

1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle

zimovet [89]

Answer: $\left | 2t-5\right |,\ 2,\ 2t-5$

Step-by-step explanation:

Given

Position of the particle moving along the coordinate axis is given by

$s(t)=t^2-5t+1$

Speed of the particle is given by

$\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |$

Acceleration of the particle is

$\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2$

velocity can be negative, but speed cannot

$\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5$

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3 years ago

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fiasKO [112]

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3 years ago

(Please show step by step workings)

matrenka [14]

Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

$M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}$

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

$M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}$

$M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}$

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

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3 years ago