Translate the phrase to an algebraic expression “half of a number”

Mathematics

1 answer:

telo118 [61]2 years ago

5 0

Answer:

1/2x or x/2

Step-by-step explanation:

You're taking the number you started with and either multiplying it by 1/2 half or dividing it by 2.

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If you need $8000 to travel to Europe after you graduate in 4 year. How much would your monthly deposits need to be if your acco

lina2011 [118]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\
\left. \qquad \qquad \right.(\textit{payments at the end of the period})
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \qquad 
\begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}\to &
\begin{array}{llll}
8000
\end{array}\\
pymnt=\textit{periodic payments}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve}
\end{array}\to &12\\
t=years\to &4
\end{cases}$

$\bf 8000=pymnt\left[ \cfrac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]
\\\\\\
\cfrac{8000}{\left[ \frac{\left( 1+\frac{0.05}{12} \right)^{12\cdot 4}-1}{\frac{0.05}{12}} \right]}=pymnt\implies \cfrac{8000}{\frac{\left( \frac{241}{240} \right)^{48}-1}{\frac{1}{240}}}=pymnt
\\\\\\
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Marrrta [24]

This is one of the special right triangles known as a 30, 60, 90 triangle. (Characterized by its angles)

In these triangles, the shortest leg is HALF the length of the hypotenuse.

The longest leg is (√3) times the length of the short leg.

Therefore, the shortest leg is 20, and the longest leg is 20(√3)

FINAL ANSWER:

SHORT LEG: 20 units

LONG LEG: 20√3 units

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Elena-2011 [213]

1.54 + 2.37

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= 1 + 5/10 + 4/100 + 2 + 3/10 + 7/100

= 3 + 8/10 + 11/100

= 3 + 8/10 + (10/100 + 1/100)

= 3 + 8/10 + (1/10 + 1/100)
= 3 + 8/10 + 1/10 + 1/100

= 3 + 9/10 + 1/100

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