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Fiesta28 [93]
3 years ago
13

Tyler had $65.40 in his checking account. Then he wrote checks on the account for $20.38, $11.48, and $19.50. What is the balanc

e of his account now?
Mathematics
1 answer:
andrew-mc [135]3 years ago
4 0

money going out (20.38+11.48+19.50) =51.36

balance - out = new balance

65.40-51.36 =

14.04

new balance =  14.04

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i) The given function is

f(x)=\frac{x^2+4x-4}{x^2-2x-8}

We can rewrite in factored form to obtain;

f(x)=\frac{x^2+4x-4}{x^2-2x-8}

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The domain is

(x-4)(x+2)\ne0

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x\ne4,x\ne-2

ii) To find the vertical asymptotes equate the denominator to zero.

(x-4)(x+2)=0

(x-4)=0,(x+2)=0

x=4,x=-2

iii) To find the roots, equate the numerator to zero.

(x+2\sqrt{2}+2)(x-2\sqrt{2}+2)=0}

(x+2\sqrt{2}+2)=0,(x-2\sqrt{2}+2)=0}

(x=-2\sqrt{2}-2,x=2\sqrt{2}-2)}

iv) To find the y-intercept, substitute x=0 into the equation.

f(0)=\frac{0^2+4(0)-4}{0^2-2(0)-8}

We simplify to obtain;

f(0)=\frac{-4}{-8}

f(0)=\frac{1}{2}

v) The horizontal asymptote is

lim_{\to \infty}\frac{x^2+4x-4}{x^2-2x-8}=1

The equation of the horizontal asymptote is y=1

vi) The function does not have a variable factor that is common to both the numerator and the denominator.

The function has no  holes in it.

vii) The given function is a proper rational function.

Proper rational functions do not have oblique asymptotes.

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3 years ago
Brainliest to whoever gets it right !
vekshin1

Answer:

$1,700.

Step-by-step explanation:

Since Cándido normally pays $ 875 for bodily injury and property damage insurance, and his insurance company increases premiums by 150% for 1 accident, 200% for 2-3 accidents, and 250% for 4 accidents, to find his premium for the year after he has three accidents to the nearest dollar, the following calculation must be performed:

875 x 200 / 100 = X

875 x 2 = X

1,700 = X

Therefore, his premium for the year after he has three accidents is $1,700.

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