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ANEK [815]
3 years ago
15

Find the slope of the line that passes through each pair of points.

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0

Answer:

the slopes are 1=2 2=1 3=-6 4=-1 5=5 6=undefined 7=0 8=0 9=-4 10=undefined

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1. Jack and Jill purchased a $125,000 house making a 20% down payment and paying the closing
kherson [118]

Answer:

The month payment amount is $897.589

Interest amount is $61,566

Step-by-step explanation:

Given as :

The price of the house = $125,000

The down payment amount for house = 20% of total price

i.e The down payment amount for house = 20% × $125,000

Or, The down payment amount for house = \dfrac{20}{100} × $125,000

Or, The down payment amount for house = $25,000

Now, Balance amount = total price - down payment

Or, Balance amount = $125,000 - $25,000

Or, Balance amount = $100,000

So, The balance amount is bring finance

The finance principal amount = p = $100,000

The rate of interest applied = r = 3.25%

The time period of mortgage = t = 15 years = 15 × 12 = 180 months

Let The Amount of mortgage after 15 years = $A

<u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A = p × (1+\dfrac{\textrm r}{100})^{\textrm t}

Or, A = $100,000 × (1+\dfrac{\textrm 3.25}{100})^{\textrm 15}

Or, A = $100,000 × (1.0325)^{15}

Or, A = $100,000 × 1.61566

Or, A = $161,566

So,The Amount of mortgage after 15 years = $161,566

Interest applied = Amount - principal

Or, I = $161,566 - $100,000

∴ Interest = $61,566

<u>Again</u>

The month payment amount = \dfrac{\textrm amount after 15 years}{number of months of mortgage}

i.e The month payment amount = \dfrac{161566}{180}

Or, The month payment amount = $897.589

Hence The month payment amount is $897.589 and interest amount is $61,566  . Answer

6 0
3 years ago
Write an equation of the line, in slope-intercept form, that passes through (-2, 5) and (1, -1).
djyliett [7]

Answer:

y = -2x + 1

Step-by-step explanation:

<u>Formulae:</u>

<u />

Slope: m=\frac{y_2-y_1}{x_2-x_1}\\

  • m = slope
  • y₂ = second y-value
  • y₁ = first y-value
  • x₂ = second x-value
  • x₁ = first x-value

Point-slope form: y-y_1=m(x-x_1)

  • y₁ = first y-value
  • m = slope
  • x₁ = first x-value

Slope-intercept form: y=mx+b

  • m = slope
  • b = y-intercept value

<u>Calculations:</u>

<u />

<u />m=\frac{-1-5}{1-(-2)}\\m=\frac{-6}{3}\\m=-2<u />

<u />

<u />y-5=-2(x-(-2))\\y-5=-2(x+2)\\y-5=-2x-4\\y=-2x+1<u />

4 0
3 years ago
Help pls ! 15−24÷4⋅2
Nady [450]

Answer:

9.28

Step-by-step explanation:

hope this help!!!

8 0
3 years ago
Evaluate the following expression 2x - |4 - 7x| when x = -3
HACTEHA [7]

Answer:

-31  

Step-by-step explanation:

2x - abs(4 - 7x)

2x = 2 * - 3 = - 6

4 - 7x = 4 - 7*-3 = 4 + 21 = 25

-6 - abs(25)

-6 - 25 = -31

You should note three things.

1. the absolute value of 25 is 25

2. There is a - sign outside the influence of the 25 so 25 becomes - 25

3. - 6 - 25 = - 31

4 0
3 years ago
Expansion of (4x+1)(2x2-2)
kvv77 [185]
8x3 - 8x + 2x2 - 2
8x3 + 2x2 - 8x - 2
7 0
3 years ago
Read 2 more answers
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