It takes 45 minutes for 4 people to paint 5 walls . How many minutes does it take 6 people to paint 4 walls?

2 answers:

7 0

Basically, because of the first part of your question, it takes 9 minutes for one person to paint a quarter of a wall. This means that it would take 36 minutes for one person to paint an entire wall. It also means that it would take 6 minutes for one person to paint 1/6 of a wall.

If there are 4 walls to paint, and 6 people around to paint them, each person would get 4/6 of a wall to paint. This means that it would take 24 minutes for these 6 people, working together, to paint 4 walls. 4 x 6 minutes (because they'd each be painting 4 x 1/6 of a wall) = 24 minutes.

Travka [436]3 years ago

6 0

It takes 45 * 4 = 180 people-minutes to paint 5 walls.
Therefore to paint 4 walls it will take:
$\frac{180\times4}{5}=144\ people-minutes$
The time needed for 6 people to paint 4 walls is given by 144/6 = 24 minutes.

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How much money should be invested at 5% interest, compounded quarterly, so that 7 years later the investment will be worth $5000

vampirchik [111]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$5000\\
P=\textit{original amount deposited}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four times}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
5000=P\left(1+\frac{0.05}{4}\right)^{4\cdot 7}\implies 5000=P(1.0125)^{28}\\\\\\ \cfrac{5000}{(1.0125)^{28}}=P$