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1 year ago

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You are buying a house and you are financing the purchase with a mortgage of $130,000. The mortgage has a 30 year term and requi

res monthly payments. The mortgage charges an interest rate of 0.3% every month. What is the total interest payment over the life of the mortgage?

1 answer:

Shalnov [3]1 year ago

7 0

Answer:

130,000 -:- by 30 x 0.3 x 12 = 15,600.

Step-by-step explanation:

(I hope its right, Im not good at math)

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kodGreya [7K]

Answer:

(1) $g[f(x)]=\frac{8x-1}{12x-4}$

(2) $g^{-1}(x)=\frac{x+1}{(3x-2)}$

(3) $x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

Step-by-step explanation:

Given functions f(x) = (4x-1)

are $g(x)=\frac{2x+1}{3x-1}$

(1) $g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}$

$=\frac{8x-2+1}{12x-3-1}$

$=\frac{8x-1}{12x-4}$

(2) for $g^{-1}(x)$ , rewrite the function g(x) in terms of an equation

$y=\frac{2x+1}{3x-1}$

Substitute y in place of x and x in place of y, then solve for y.

$x=\frac{2y+1}{3y-1}$

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

3xy - x = 2y + 1

3xy - 2y = x + 1

y(3x-2) = x + 1

$y=(\frac{x+1}{3x-2} )$

⇒ $g^{-1}(x)=\frac{x+1}{(3x-2)}$

(3) $f[g(x)]=(x-1)$

$f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)$

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⇒ $5x+5=(3x-1)(x-1)$

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$x=\frac{9\pm\sqrt{81+48} }{6}$

$x=\frac{9\pm\sqrt{129} }{6}$

$x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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