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elena-s [515]
3 years ago
15

Elena and Lin are training for a race. Elena runs her mile a constant speed of 7.5 miles per hour.

Mathematics
1 answer:
fenix001 [56]3 years ago
4 0

Answer:

Elena won the race.

Step-by-step explanation:

If you calculate it, Lin runs a mile every 9 minutes.

9 times 7.5= 67.5 which is 1 hour, 7 minutes and 30 seconds. While it took only an hour for Elena to run 7.5 miles.

Which means Elena's speed was faster and got her to the finish line first.

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Patricia and Joe Payne are divorced. The divorce settlement stipulated that Joe pay $485 a month for their daughter Suzanne unti
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\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} &
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\end{array}\\
pymnt=\textit{periodic payments}\to &
\begin{array}{llll}
485\cdot 12\\
\underline{5280}
\end{array}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
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\textit{times it compounds per year}\\
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t=years\to &4
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\\\\\\


\bf A=5280\left[ \cfrac{\left( 1+\frac{0.06}{1} \right)^{1\cdot  4}-1}{\frac{0.06}{1}} \right]

Joe is making $485 payments monthly, but the amount gets interest on a yearly basis, not monthly, so the amount that yields interest is 485*12

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3 years ago
-3(1-2x)-3=-20-8x what is the work and answer
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You have to keep order of operations in mind.

1. Take care of the parentheses; distribute.
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Simplified: 6x-6=-20-8x

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Add 8x to both sides and add 6 to both sides.
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3. Solve for x.
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Use the algebra tiles to help you solve the equation 3x-2=13.
dsp73
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A group of 5 men are meeting for lunch.
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Tile:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

There were total 5 men wearing coats.

5 coats can be returned to 5 men in 5! = 120 ways.

The coats can be returned to the accurate persons only in 1 way.

Hence, the probability that each man gets the correct coat is \frac{1}{120}.

(b)

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Hence, the required probability is \frac{1}{20}.

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