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2 years ago

Michael has two options to invest $10,000. Which option will earn the most money?

Mathematics

2 answers:

irina [24]2 years ago

7 0

Answer:

C. is correct

Step-by-step explanation:

10,000*0.06=600*10=6,000

10,000*0.05=500*12=6,000

So, they are both the same :[

Art [367]2 years ago

3 0

They are both the same because when you Multiply 10,000 and 6% you get 600 and then you multiply that by 10 years you get 6,000 dollars and than you do the same with the 5% but multiply the sum by 12 years and you get 6,000 also so gives you that they are both the some income so I would say Michael should just keep the $10,000

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Check the picture below. So, more or less looks like so.

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Also notice, the "c" distance from the center to either foci, is just 5 units.

$\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
\end{cases}\implies \cfrac{(y-{{ 0}})^2}{{{ 4}}^2}-\cfrac{(x-{{ 0}})^2}{{{ b}}^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{b^2}=1
\\\\\\
c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
\cfrac{y^2}{16}-\cfrac{x^2}{3^2}=1\implies \boxed{\cfrac{y^2}{16}-\cfrac{x^2}{9}=1}$

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