marcella's house costs $120,000. she paid a 20% down payment and then borrowed the rest at 6.5% for 20 years how much will she borrow

Answers

Answer 1
Answer: 120 000 dollars is the cost of her house.
She paid a downpayment which is 20% of it.
120000 * .20 = 24000 dollars 
=> 120 000 - 24 000 = 96 000 dollars.
She paid it for installment for 20 years wth 6.5% interest.
=> 96000 * .065 = 6240 dollars interest per year
=> 6240 dollars * 20 years = 124 800 dollars 
=>  96 000 + 124 800 = 220 800 dollars.

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5x^2+19x+12 factor the polynomial

Answers

Δ = 19^2 - 4*5*12 => Δ = 121 => √(delta) = 11;
x1 = -0.8; x2 = -3;
5x^2+19x+12 = 5( x + 0.8)( x + 3) = ( 5x + 4)( x + 3);

Answer:

( x − 3 )( 5x − 4 )

Step-by-step explanation:

Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 2, negative 1, and 2 Which of the following functions best represents the graph?

f(x) = x3 + x2 − 4x − 4
f(x) = x3 + 4x2 − x − 4
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 4x − 8

Answers

Based on the given intercepts, the factors of the polynomial are
f(x) = (x-2)(x+1)(x-2)
Multiplying the binomials would give us the correct answer. Multiplying the first two,
f(x) = (x2 - x - 2)(x-2)
Then multiplying the result with other binomial,
f(x) = x3 + x2 - 4x - 4

Using the Factor Theorem, the function that best represents the graph is given by:

f(x) = x³ + x² - 4x - 4.

What is the Factor Theorem?

The Factor Theorem states that a polynomial function with roots x_1, x_2, \codts, x_n is given by:

f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)

In which a is the leading coefficient

In this problem, we consider a = 1, and the roots are the x-interceptsx_1 = -2, x_2 = -1, x_3 = 2, hence:

f(x) = (x + 2)(x + 1)(x - 2)

f(x) = (x² + 3x + 2)(x - 2)

f(x) = x³ + x² - 4x - 4.

More can be learned about the Factor Theorem at brainly.com/question/24380382

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Please help I give Brainllest, stars, and hearts!Write a unit rate for the situations.

30 milliliters every 4 hours
milliliters per hour

Answers

Answer is in screenshot. Can I now have Brainliest?

If your company needs to produce 7,800 products by the end of the next 12 weeks, how many products will you need to produce each week to finish on schedule?

Answers

The company will have to produce at least 650 products each week to achieve 7800 products in 12 weeks


(7800 products divided by 12weeks  = 650 products per week)

72y^5 + 18y^2 what is the GCF? or is this prime?

Answers

GCF = 18y^2 because both can be divided by this 

For the graph below, what should the domain be so that the function is at least 600? (1 point)graph of y equals minus 2 times the square of x plus 40 times x plus 600


0 ≤ x ≤ 20
−10 ≤ x ≤ 30
x ≥ 0
All real numbers

Answers

Answer: The first interval:0 ≤ x ≤ 20

Procedure

You have to solve this inequality

-2x^2 +40x +600 ≥ 600

-2x^2 +40x  ≥ 0

-x^2+20x ≥ 0

x^2 - 20 x ≤ 0

x(x-20) ≤ 0

That is only possible if the two factors have different signs.

Let's examine the possibilities

       x ≥ 0 and x -20 ≤ 0⇔x≤20, that is 0≤x≤20

The other possibility is

       x ≤ 0 and x - 20 ≥ 0 ⇔x≥20. This conditions is not possible.

So the solution is 0≤x≤20