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natulia [17]
3 years ago
10

Sofia is purchasing a home for a list price of $245,000. She has a dow payment of $25,000 and takes out a 20 year mortgage for t

he remainder at 5 annual interest. Determine her monthly payments. You may use the formula from the last page of this exam or the TVM solver. If you use the TVM solver please show your calculator inputs.
Mathematics
1 answer:
eduard3 years ago
5 0

Answer:

Sofia's monthly payments will be $ 1,222.22.

Step-by-step explanation:

Given that Sofia is purchasing a home for a list price of $ 245,000, and she has a down payment of $ 25,000 and takes out a 20 year mortgage for the remainder at 5 annual interest, to determine her monthly payments the following calculation must be performed:

((245,000 - 25,000) x 0.05 x 20 + (245,000 - 25,000)) / 30 x 12 = X

(220,000 x 0.05 x 20 + 220,000) / 360 = X

(11,000 x 20 + 220,000) / 360 = X

(220,000 + 220,000) / 360 = X

440,000 / 360 = X

1,222.22 = X

Therefore, Sofia's monthly payments will be $ 1,222.22.

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Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

(x+3)^2+(x+3)-2=0

Let

u=(x+3)

Rewrite the equation

(u)^2+(u)-2=0

Complete  the square

u^2+u=2

u^2+u+1/4=2+1/4

u^2+u+1/4=9/4

rewrite as perfect squares

(u+1/2)^2=9/4

square root both sides

(u+1/2)=\pm\frac{3}{2}

u=(-1/2)\pm\frac{3}{2}

u=(-1/2)+\frac{3}{2}=1

u=(-1/2)-\frac{3}{2}=-2

the solutions are

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<em>Alternative Method</em>

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

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x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

(u)^2+(u)-2=0

so

a=1\\b=1\\c=-2

substitute in the formula

u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}

u=\frac{-1\pm\sqrt{9}} {2}

u=\frac{-1\pm3} {2}

u=\frac{-1+3} {2}=1

u=\frac{-1-3} {2}=-2

the solutions are

u=-2,u=1

<em>Find the solutions of  the original equation</em>

For u=-2

-2=(x+3) ----> x=-2-3=-5

For u=1

1=(x+3) ----> x=1-3=-2

therefore

The solutions of the original equation are

x=-5 and x=-2

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3 years ago
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This is not possible. False.



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3 years ago
If a pool deck of 650 square feet is to be laid with concrete 3" thick, what volume of concrete will have to be poured in cubic
AVprozaik [17]

Volume is a three-dimensional scalar quantity. The volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since an inch is equal to 1/12 of a foot. Therefore, the thickness of the pool deck is,

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If a pool deck of 650 square feet is to be laid with concrete 3" thick, then the volume of concrete that will be needed is,

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Now, one yard is equal to 3 feet, therefore,

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Hence, the volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

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2 years ago
Help please! Would mean so much to me&lt;3
marusya05 [52]
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Rus_ich [418]
Answers:
(x+2) = 55 degrees

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the given is 72 degrees


Explanation:
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5 0
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