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3 years ago

Find the value of x acellus Help

Mathematics

1 answer:

kaheart [24]3 years ago

6 0

Answer: x = 3

because ΔABC has BD is the bisector of ∠ABC

=> AD/AB = DC/BC

⇔ x/6 = 4/8

⇔ x/6 = 1/2

⇔ x = 6.1/2

⇔ x = 3

Step-by-step explanation:

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You invest $7000 in an account bearing 5% for ten years. How much will the account be worth if compounded quarterly? What about

Mars2501 [29]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$7000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, means 4 times}
\end{array}\to &4\\

t=years\to &10
\end{cases}$

how about monthly? well, there are 12 months in a year, so it will the compound cycle is 12, thus $\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$7000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, 12 months, thus}
\end{array}\to &12\\

t=years\to &10
\end{cases}$

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Answer:

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Step-by-step explanation:

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Answer:

Go to explaination for the details.

Step-by-step explanation:

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Alternative Hypothesis: The cartons either under filled or over filled by the production line, that is u not equal to 32.

b. At given level of significance a, the data doesn't provide sufficient evidence to support the claim that the cartons either under filled or over filled by the production line.

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Check the picture below.

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2 years ago

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Luden [163]

Answer:

<h2>The constant of proportionality is 0.50</h2>

Step-by-step explanation:

The constant of proportionality is the unit ratio between variables.

According to the problem, Marie pays $2.50 for 5 pencils. So, the unit ratio os this would be the constant of proportionaliy. To find it, we just need to divide.

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Therefore, the constant of proportionality is 0.50, which means Marie paid $0.50 per pencil.

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