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3 years ago

The standard configuration for an Idaho license plate is 3 letter]followed by 5 digits.

Mathematics

1 answer:

stealth61 [152]3 years ago

4 0

<h3>Answer: 471,744,000</h3>

Delete the commas if needed. This is one single number between 471 million and 472 million

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Explanation:

We have 26 letters for the first slot, then 25 for the second, and 24 for the third. We count down like this because we cannot reuse letters.

There are 26*25*24 = 15,600 ways to pick the three letters where repeats aren't allowed.

As for the numbers, we have 10 single digits (0 through 9) for the first numeric slot, then 9 for the next, and so on until we reach 6

So we have 10*9*8*7*6 = 30,240 ways to select the five numbers.

In all, there are (15,600)*(30,240) = 471,744,000 different license plates possible. This number is between 471 million and 472 million.

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The function for the amount saved if they purchase a used drone rather than a new drone from Jim's store is f(x) = 0.45x

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So, the selling price of a used drone is:

$\mathbf{Used = 70\% \times x}$

Express percentage as decimal

$\mathbf{Used = 0.7 \times x}$

$\mathbf{Used = 0.7x}$

Also, he sells new drones at 15% more of the price (x).

So, the selling price of a new drone is:

$\mathbf{New= (1 + 15\%) \times x}$

Express percentage as decimal

$\mathbf{New= (1 + 0.15) \times x}$

$\mathbf{New= 1.15 \times x}$

$\mathbf{New= 1.15x}$

The amount saved is the difference between the prices of the drones.

So, we have:

$\mathbf{Saved =New - Old}$

This gives

$\mathbf{Saved =1.15x- 0.7x}$

Subtract

$\mathbf{Saved =0.45x}$

Express as a function

$\mathbf{f(x) = 0.45x}$

Hence, the function for the amount saved is f(x) = 0.45x