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3 years ago

12

Which event will have the greatest impact (positive or negative) on one's net worth after one month?

1 answer:

Bond [772]3 years ago

3 0

<span>Buy a new car at market value for $15,000. Car depreciates 20% upon transfer of ownership.</span>

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Combine Radicals/Fractional Exponents

Crazy boy [7]

$\mathsf{Given :\;\;\dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{64x^3y^3}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{4^3x^3y^3}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{\sqrt[3]{(4xy)^3}}}$

$\bigstar\;\;\textsf{We know that : \boxed{\mathsf{\sqrt[n]{a} = a^{\dfrac{1}{n}}}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{(4xy)^{\dfrac{3}{3}}}}}$

$\mathsf{\implies \dfrac{5x^{\dfrac{-3}{2}}y^{-2}}{{4xy}}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) \left(\dfrac{x^{\dfrac{-3}{2}}}{{x}}\right)\left(\dfrac{y^{-2}}{y}\right)}$

$\bigstar\;\;\textsf{We know that : \boxed{\dfrac{a^m}{a^n} = a^{m - n}}}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3}{2} - 1\right)}}y^{(-2 - 1)}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-3 - 2}{2}\right)}}y^{-3}}$

$\mathsf{\implies \left(\dfrac{5}{4}\right) x^{\left(\dfrac{-5}{2}\right)}}y^{-3}}$

$\textsf{Comparing the above with $\mathbf{ax^by^c}$, We can notice that :}$

$\bigstar\;\;\mathsf{a = \dfrac{5}{4}}$

$\bigstar\;\;\mathsf{b = \dfrac{-5}{2}}$

$\bigstar\;\;\mathsf{c = -3}$

$\implies \mathsf{Product\;of\;a,\;b\;and\;c = \left(\dfrac{5}{4}\times \dfrac{-5}{2} \times -3\right)}$

$\implies \mathsf{Product\;of\;a,\;b\;and\;c = \dfrac{75}{8}}$

7 0

3 years ago

Show all work to identify the asymptotes and state the end behavior of the function f(x) = 6x/ x - 36

Aliun [14]

Vertical asymptotes are when the denominator is 0 but the numerator isn't 0.

$x-36=0 \implies x=36$

Since this value of x does not make the numerator equal to 0, the vertical asymptote is $x=36$ .

Horizontal asymptotes are the limits as $x \to \pm \infty$ .

$\lim_{x \to \infty} \frac{6x}{x-36}=\lim_{x \to \infty}=\frac{6}{1-\frac{36}{x}}=6\\\\\lim_{x \to -\infty} \frac{6x}{x-36}=\lim_{x \to -\infty}=\frac{6}{1-\frac{36}{x}}=6\\\\$

So, the horizontal asymptote is $y=6$ .

End behavior:

As $x \to \infty, f(x) \to -\infty$
As $x \to -\infty, f(x) \to \infty$ .

3 0

2 years ago

Given that line bd is both the median and altitude of triangle abc, congruence postulate sas is used to prove that triangle abc

Schach [20]

Isosceles triangle

hope this helps :)

6 0

3 years ago

Read 2 more answers

Value of x <br> (6x+2)°<br> (5x+22)°

Gnesinka [82]

Answer:

x=20°

Step-by-step explanation:

(6x+2)° and (5x+22)° are vertically opposite angles, hence VOA angles are equal so

(6x+2)°=(5x+22)°

6x°+2°=5x°+22°.... collect the like terms

6x°-5x°=22°-2°

x°=20°

4 0

3 years ago

Is 7/20 less than 0.305

Serggg [28]

Answer:

No, it is greater

Step-by-step explanation:

The easiest way to find out is to make the two figures fraction and make the denominators the same.

7/20 * 50/50 > 305/1000

350/1000 > 305/1000

0.35 > 0.305

3 0

3 years ago