How many days would it take a construction loan of $548,048 to earn$50,000 exact interest at 9% interest rate?

1 answer:

3 0

I guess you mean simple interest
I = PRT/100

50000 = 548048 * 9 * t / 100

t = 50,000 * 100
------------------- = 1.013699 years
548048* 9

multiply this by 365 gives 370 days

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How to find the mean of a probability distribution?

e-lub [12.9K]

That depends. If you have a finite data set, you would add up all the points you have and divide by the total count.

Or, if you are working with pure distributions, the mean is the same as the expected value of the corresponding random variable.

Suppose you have a discrete random variable $X$ with a given probability mass function $f_X(x)$ , then the mean is given by

$\mathbb E(X)=\displaystyle\sum_xxf_X(x)$

which would mean you take all the possible probability for the event that $X=x$ , multiply each by that $x$ , and add them together.

If the distribution is continuous, say a random variable $Y$ that has probability distribution function $f_Y(y)$ over some support $S$ , then the mean is

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3 0

3 years ago

If y varies inversely as x, and y=20 as x=3, find y for the x value 4

Ratling [72]

$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
y=20\\
x=3
\end{cases}\implies 20=\cfrac{k}{3}\implies 20\cdot 3=k\implies 60=k
\\\\\\
thus\qquad \boxed{y=\cfrac{60}{x}}\\\\
-------------------------------\\\\
now\qquad x=4\qquad y=\cfrac{60}{4}$