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AveGali [126]
3 years ago
8

The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Solv

e for w.
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
3 0

Answer:

(P-2l)/2 =w

Step-by-step explanation:

P = 2l + 2w

Subtract 2l  from each side

P -2l = 2l-2l + 2w

P-2l = 2w

Divide by 2

(P-2l) /2 = 2w/2

(P-2l)/2 =w

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17/6 + 4/3 fractions
polet [3.4K]

Answer:

25/6

Step-by-step explanation:

I multiplied 4/3 by 2, so the new fraction is 8/6. You add 17/6 with 8/6, and you get 25/6. I hope you understand.

8 0
3 years ago
Sara invests $1,200 each year in an IRA ( 12 years in an account that earned 5%
Sati [7]
A)

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

\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array}
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic deposits}\to &1200\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{each year, once}
\end{array}\to &1\\

t=years\to &12
\end{cases}

B)

let's say after 12years, she ended up with a value of say "P"
so.. now she's just sitting on P, making no more deposits to it
just taking whatever the compound 5% interest will give, thus

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{compounded amount}\\
P=\textit{original amount deposited}\to &\boxed{P}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{again, is only once}
\end{array}\to &1\\

t=years\to &11
\end{cases}


C)

from A) she made 1,200 every year, for 12 years that's 1200*12, that's how much she put out of pocket, if you got an amount P from A), then the interest is just the difference, or P - (1200*12)

from B), she started with an original amount of P, and ended up with a compounded amount of A after 11years, so the interest is just also the difference, or A - P

add those two folks together, and that's the total interest she got for the 23  years



4 0
4 years ago
5 cats each ate 1/4 cup of cat food. Four other cats each ate 1/3 cup of cat food. How much did the nine cats eat?
serg [7]

<u>ANSWER</u>

Number of cups consumed by five cats

=5\times \frac{1}{4}


= \frac{5}{4} cups.


Number of cups consumed by four cats

=4\times \frac{1}{3}


= \frac{4}{3} cups.


Number of cups consumed by all nine cats

=\frac{5}{4} + \frac{4}{3}

The LCM is 12. So we collect LCM to get;


= \frac{5\times 3+4\times4}{12}


= \frac{15+16}{12}


= \frac{31}{12}


=2 \frac{7}{12} cups









5 0
3 years ago
Read 2 more answers
Help asap! Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢
ryzh [129]

Answer:

The unlimited mileage plan would save money for Lia from 410 miles onwards.

Step-by-step explanation:

Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:

90.25 - 50 = 40.25

40.25 / 0.25 = 161

161 + 250 = 411

Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.

7 0
3 years ago
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.7 years, and standard deviation of
MrRa [10]

Answer:

Bobies

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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