3 years ago

Mary says the pen for her horse is an acute right triangle is this possible

Mathematics

1 answer:

Maru [420]3 years ago

3 0

No, you can't have all 3 angles in a triangle be acute

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There are 59 boys and 49 girls in this year's baseball league. If the league has nine teams how many players will be on each tea

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Answer: There are 12 players in each team.

Step-by-step explanation:

Since we have given that

Number of boys in this year's baseball league = 59

Number of girls in this year's baseball league = 49

Total number of players in altogether is given by

$59+49=108$

Now, there are 9 teams in the league ,

So,

$\text{Number of players in each team}=\frac{108}{9}=12$

Hence, there are 12 players in each team.

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A $250,000 home loan is used to purchase a house. The loan is for 30 years and has a 5.4% APR. Use the amortization formula to d

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$\bf ~~~~~~~~~~~~ \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\
~~~~~~
\begin{cases}
P=
\begin{array}{llll}
\textit{original amount deposited}\\
\end{array}\to &250000\\
pymt=\textit{periodic payments}\\
r=rate\to 5.4\%\to \frac{5.4}{100}\to &0.054\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{since the payments are}\\
\textit{monthly, then twelve}
\end{array}\to &12\\
t=years\to &30
\end{cases}
$

$\bf pymt=250000\left[ \cfrac{\frac{0.054}{12}}{1-\left( 1+ \frac{0.054}{12}\right)^{-12\cdot 30}} \right]
\\\\\\
pymt=250000\left[ \cfrac{0.0045}{1-\left( 1.0045\right)^{-360}} \right]
\\\\\\
pymt\approx 250000\left[ \cfrac{0.0045}{0.80138080852472389274} \right]$

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