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3 years ago

At a competition with 6 runners, 2 medals are awarded for first and second

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Answer:

30 ways

Step-by-step explanation:

The first medal can be awarded in 6 different ways since any of the runners could have it. Once the first medal is awarded, the second medal can only be given to any of the 5 runners available.

So there are 6x5=30 different ways to award the medals

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timofeeve [1]

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3 years ago

Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.

Leya [2.2K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}$

$\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$

$\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 2}\implies A=6500(1.12)^2\implies A=8153.6$

6 0

3 years ago

What is the answer of this question

zvonat [6]

The right answer is x^2-1.

EXPLANATION:

To be a polynomial, the power of each term must be a whole number.

Hope it will be helpful to you...

Good luck on your assignment

~pragya

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3 years ago

Melissa, Dan, and Henry have $87 in their wallets. Dan has 3 times what Henry has. Melissa has $8 less than Henry. How much does

puteri [66]

Answer:

Henry has $19, Dan has $57, and Melissa has $11

Step-by-step explanation:

Let x represent how much money Henry has

Since Dan has 3 times what Henry has, his amount is 3x

Since Melissa has $8 less than Henry, her amount is x - 8

Create an equation that sets these 3 values equal to 87, then solve for x

(x) + (3x) + (x - 8) = 87

5x - 8 = 87

5x = 95

x = 19

So, Henry has $19

Find how much Dan has by multiplying 19 by 3

19(3)

= 57

Find how much Melissa has by subtracting 8 from 19

19 - 8

= 11

So, Henry has $19, Dan has $57, and Melissa has $11

8 0

3 years ago

Read 2 more answers

Explain why the term of the expression are 2x and 8 not x and 8?

LuckyWell [14K]

Answer:

because 2x is a variable and 8 is just a constant......am i right or no

Step-by-step explanation:

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3 years ago