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irakobra [83]
3 years ago
5

A family has a $150,000, 30-year mortgage at 6.1% com-pounded monthly.

Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0

Answer:

Monthly payment = $908.99

(A) $125,862.32

Step-by-step explanation:

Given:

Present value = $150,000

Duration, n = 30 years = 30 × 12 = 360 months

Interest = 6.1% compounded monthly

or

Monthly interest, r = \frac{\textup{6.1}}{\textup{12}} =  0.5083%

Now,

Monthly payments can be calculated using the formula

\textup{Present value}=\textup{Monthy payment}\times(\frac{1-(1+r)^{-n}}{r})

thus,

\$\textup{150,000}=\textup{Monthy payment}\times(\frac{1-(1+0.005083)^{-360}}{0.005083})

or

Monthly payment = $908.99

(A) unpaid balance after 10 years will be equal to the payment made in 20 years starting from the end of 10th year

thus,

n = 20 × 12 = 240

Unpaid balance = \textup{Monthy payment}\times(\frac{1-(1+r)^{-n}}{r})

or

Unpaid balance = \textup{908.99}\times(\frac{1-(1+0.005083)^{-240}}{0.005083})

or

Unpaid balance after 10 years = $125,862.32

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8x – 3 = -19<br><br>Who give it fast they have branliest <br>Give the correct answer step by step​
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Answer:

<h2>x= -2</h2>

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8x - 3 =  - 19

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4 0
3 years ago
Read 2 more answers
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The format is 
"If P then Q" ----> "if Q then R"  so therefore "If P then R"

We see that P leads to Q, then Q leads to R. So overall P leads to R. We connect them as a chain of sorts. We can skip over Q since we know the first point will lead to the last. Think of it as a shortcut of sorts.
8 0
3 years ago
Determine the domain of the function (fog)(x) where f(x)=3x-1/x-4 and g(x)=x+1/x
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Answer: (-∞,-1) ∪ (0,+∞)

Step-by-step explanation: The representation fog(x) is a representation of composite function, meaning one depends on the other.

In this case, fog(x) means:

fog(x) = f(g(x))

fog(x) = 3(x+\frac{1}{x} )-\frac{1}{x+\frac{1}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{1}{\frac{x^{2}+x}{x} } -4

fog(x)=3x+\frac{3}{x} -\frac{x}{x^{2}+x} -4

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fog(x)=\frac{3x^{4}+3x^{3}+3x^{2}+3x-x-4x^{3}+4x^{2}}{x(x^{2}+x)}

fog(x)=\frac{3x^{4}-x^{3}-x^{2}+2x}{x(x^{2}+x)}

This is the function fog(x).

The domain of a function is all the values the independent variable can assume.

For fog(x), denominator can be zero, so:

x(x^{2}+x) \neq 0

If x = 0, the function doesn't exist.

x^{2}+x \neq0

x(x+1) \neq0

x+1\neq0

x\neq-1

<u>Therefore, the domain of this function is: </u><u>-∞ < -1 or x > 0</u>

5 0
3 years ago
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