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Mandarinka [93]
3 years ago
13

A website requires a 7 digit password. How many different passwords can be made using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and

9 if each number can only be used once?
A. 120
B. 70
C. 5,040
D. 604,800

Instructions/formula would be sooo great
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0
B because 10 x 7 = 70
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9514 1404 393

Answer:

  (a) $254.08

  (b) $767.34

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Step-by-step explanation:

These questions are best answered by a financial calculator or app. Such are available for your phone or tablet. A spreadsheet also has built-in functions for making these calculations.

(a) FV = $40,000, i = 8% per year, n = 9 years (108 months), compounding 12 times per year. The monthly deposit needs to be $254.08.

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(b) Payment = $254.08, n = 3 months, i = 8%/year, compounding 12 times per year. FV = $767.34.

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(c) The sum of 108 payments of $254.08 is ...

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The interest earned is enough to bring the account value to $40,000, so is ...

  $40,000 -27,440.64 = $12,559.36

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<em>Additional comment</em>

The amount $254.08 is rounded down to the nearest cent, so the balance after 9 years will be $39,999.70, which is $0.30 short of $40,000. We used $40,000 as the final account balance, so overestimated the interest by $0.30.

There may be additional small changes in the values if you round interest to the nearest cent each month the way a financial institution would. It is hard to tell in these problems how accurate you're intended to be in your calculations.

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I need help on numbers 3 and 4
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Convert each number to decimal format.

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Okay I think there has been a transcription issue here because it appears to me there are two answers. However I can spot where some brackets might be missing, bear with me on that.

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Looking at these graphs, two can immediately be ruled out. Clearly A and D pass through the origin, and the gradient is constant because they are linear functions, so they are direct variations.

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