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diamong [38]
3 years ago
9

Compute the permutation.

Mathematics
1 answer:
Anon25 [30]3 years ago
8 0
So you have 8 digits (number available) to form 3 digit numbers (number selected).

Using the formula ^{a} P_{c} where a is the number of available digits, P is the permutation function and c is the number of digits to be selected.

The number of three digit numbers that can be formed = ^{8} P_{3}
                                                                                       = 336

                                                <span> O R

</span>By using the formula Permutation =  \frac{a ! }{( a - c) !} where a is the number of available digits and c is the number of digits to be selected.<span>

</span>⇒  Permutation = \frac{8 ! }{( 8 - 3) !}
<span>
</span>⇒  Permutation = \frac{40, 320 }{120}
<span>
</span>⇒ Permutation = 336<span>
</span>
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A new vehicle is worth $2500. If it depreciates records in value 12% per year, after 6 years what will it be worth
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Answer:

Step-by-step explanation:

2500 - 12%

12% of 2500 = 300

2500 - 300 = 2200

12% of 2200 = 264

2200-264=1936

Repeat another 4 times

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Not independent

Explanation:

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A certain region currently has wind farms capable of generating a total of 2500 megawatts ​(2.5 ​gigawatts) of power. Complete p
marishachu [46]

Answer:

<u>The correct answer is A. 7,665'000,000 kilowatt-hours per year and B. 766,500 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,500 Megawatts or 2.5 Gigawatts

2. Let's resolve the questions a and b:

Part A

Assuming wind farms typically generate 35​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,500 * 0.35 = 875 Megawatts

875 Megawatts = 875 * 1,000 Kilowatts = 875,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

875.000 Kw generated by the farms means that are capable of produce 875,000 kw per hour of energy

875,000 * 24 = 21'000,000 kilowatt-hours per day

<u>21'000,000 * 365 = 7,665'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (7,665'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  7,665'000,000/10,000 = 766,500</u>

4 0
3 years ago
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