What is the vertical and horizontal aysmptote of g(x)=10/x

1 answer:

7 0

The vertical asymptote is where the function does not exist (denominator ≠ 0) <span>So set the denominator equal to 0 and solve for x.</span>
vertical asmyptote is x = 0

the horizontal asymptote is the behavoir of the function as x goes to +/- infinity. As x get's larger in value the y-value get's closer and closer to zero.
example: {x = 9, 99, 999, 9999} then {y =1/9, 1/99, 1/999, 1/9999...}
horizontal asmptote is y = 0

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Step-by-step explanation:

2/10

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The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars

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The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

$A=P(1+\frac{r}{100})^t$

to obtain

$6427.35=6000(1+\frac{r}{100})^2$

We divide through by 6000 to obtain,

$\frac{6427.35}{6000}=(1+\frac{r}{100})^2$

This implies that,

$1.071225=(1+\frac{r}{100})^2$

We take the square root of both sides,

$\sqrt{1.071225}=(1+\frac{r}{100})$

This gives us,

$1.035=(1+\frac{r}{100})$

Add -1 to both sides of the equation to obtain

$0.035=\frac{r}{100}$

Multiply through by 100 to obtain;

$r=3.5$ %

$Therefore the rate is 3.5%$