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3 years ago

Lars is planning to purchase a home. He has been approved for a $420,000, 20-year mortgage with an APR of 5.125%.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

6 0

Answer:

Wow - you are asking a LOT of questions. The Monthly Payment Formula is really tricky so I'll solve that for you.

The time of the loan = 20 years * 12 = 240 months

We have to convert the annual rate to a monthly rate and that is done by:

monthly rate = 5.125 / 1,200 = 0.00427083333333333

Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / (1.00427083333333333^240) -1 ] * 420,000

Monthly pmt = 0.00427083333333333 + [0.00427083333333333 / 2.7810190076 -1] * 420,000

Monthly pmt = (0.00427083333333333 +0.0023979718) * 420,000

Monthly pmt = 2,800.90

A calculator to double check is here: https://www.1728.org/calcloan.htm

Step-by-step explanation:

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Irina18 [472]

Observing there is a difference of +8 between each f(x).
The slope of this sequence is 8.(y2-y1)/(x2-x1)
Using the point slope equation,
y-y1 = m(x-x1) yields

y = 8x -4 as the answer.

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3 years ago

Can someone help me? Please and thank you! <3

Tanya [424]

Answer:

I think it would be 40?

Step-by-step explanation:

I think 40 because if I recall correctly, to find the range you must subtract the max from the min, the max being 100 and the min being 60 in this case.

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2 years ago

What is the center of the ellipse x2+5y2–45=0?

jeka94

Answer:

Center is at (0,0)

Step-by-step explanation:

An equation of ellipse in standard form is:

$\displaystyle{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2} = 1$

Where center is at point (h,k)

From the equation of $\displaystyle{x^2+5y^2-45=0}$ . First, we add 45 both sides:

$\displaystyle{x^2+5y^2-45+45=0+45}\\\\\displaystyle{x^2+5y^2=45}$

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

$\displaystyle{\dfrac{x^2}{45}+\dfrac{5y^2}{45}=\dfrac{45}{45}}\\\\\displaystyle{\dfrac{x^2}{45}+\dfrac{y^2}{9}=1}$

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.

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2 years ago

What is the solution of 5/2-7= 3/4x+14,

Sidana [21]

Answer:

D) x = 12

Step-by-step explanation:

Given:

$\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}$

1. Multiply both sides by 4

$\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56$

2. Subtract 3x from both sides

$\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56$

3. Add 28 to both sides

$\sf{7x-28+28=56+28}\\\\\implies 7x=84$

4. Divide both sides by 7 to isolate the variable:

$\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12$

Learn more here:

brainly.com/question/27844194

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2 years ago

Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya plant

Greeley [361]

Answer:

El área del gimnasio sería 2000 metros cuadrados

Step-by-step explanation:

Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.

Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2

Por lo tanto, el lado del gimnasio sería 50 y 40.

El área del gimnasio sería 50 * 40 = 2000 metros cuadrados

7 0

2 years ago