<span>5 ways to select the 1st letter
4 ways to select the 2nd letter
3 ways to select the 3rd letter
2 ways to select the 4th letter

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Total # of ways = 5*4*3*2 = 120 passwords
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Another way to get the answer 5P4 = 5!/(5-4)!</span>

6 0

3 years ago

Read 2 more answers

Consider the equations 3x+2=14 and 2+3x=14 <br>Do they have the same solution? Why or why not?

mixer [17]

Yes, on the left side you are adding 3x+2 in one and 2+3x in the other. these add to the same number because addition is Commutative on the real numbers.

7 0

3 years ago

2. Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Write an exponential model for t

Gala2k [10]

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}$

$A=10000\left(1+\frac{0.085}{12}\right)^{12\cdot 15}\implies A=10000\left( \frac{2417}{2400} \right)^{180}\implies A\approx 35626.53$

8 0

3 years ago