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Anit [1.1K]
4 years ago
14

Pablo buys a mattress set for 15% of the regular price and uses a coupon for 20% off the reduced price. If Pablo paid $1223.32 f

or the mattress set after the incentives, what was the regular price of the mattress?
Mathematics
1 answer:
geniusboy [140]4 years ago
4 0

Answer:

$1799

Step-by-step explanation:

We simply work backwards and write out an equation.

Lets call the initial price P.

First we have 15% off the initial price P which means that we are only paying 85% of the initial price: .85*P.

Next we use a coupon for 20% off the reduced price which means we only pay 80% of the reduced price: .80 * (.85 * P)

We know that the price paid was $1223.32, set that equal to .80 * (.85 * P)

and we find that P is $1799

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Gnoma [55]

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

We know that the password is 10 characters long.

In each one of these, we can put.

One lower case letter (26 of these)

One upper case letter (26 of these)

one numerical digit (10 of these)

So, for every single digit, we have a total of:

26 + 26 + 10 = 62 options

Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

We know that for each character we have 62 different options.

And we have 10 characters.

Then the product between the numbers of options is:

C = 62^10

Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

P = 1/C = 1/(62^10)

The probability that the hacker guesses the password on his first try is:

P = 1/(62^10) = 1.19*10^(-18)

If you want to read more about probability, you can read:

brainly.com/question/427252

4 0
3 years ago
On a coordinate plane, A line is drawn from point Fernando to point Maria. Fountain is labeled in between the 2. Fernando is at
agasfer [191]

The location of the fountain as described in the task content is; (-1, -0.5).

<h3>What is the location of the Fountain?</h3>

According to the task content, the locations of Fernando and Maria are given as; (-4, -2) and (4,2) respectively and the ratio of division is expected to be; 5: 3.

Hence, the coordinates of the fountain can be evaluated as;

x = (4) - (4-(-4)) × (5/8) = -1.

y = 2 - (2-(-2)) × (5/8) = -0.5

Hence, it follows that the coordinates of the fountain location is; (-1, -0.5) since the fountain is closer to Fernando than Maria.

Read more on dividing lines by ratios;

brainly.com/question/21108138

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Answer:5

Step-by-step explanation:

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6/30 reduced is 1/5

1:5

so its 5

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OLEGan [10]

Answer:

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Step-by-step explanation:

I did 90-26 I hope that’s what you’re looking for :))

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