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Ulleksa [173]
3 years ago
12

The decimal point of a positive real number is moved two digits to the right to form a different real number. When the positive

difference between these two real numbers is divided by 11, the answer is 21. What is the original real number? Express your answer as a common fraction.
Mathematics
1 answer:
tekilochka [14]3 years ago
5 0

Answer: 7/3

Step-by-step explanation: let the original real number be x. After moving the decimal point of this real number two digits to the right, the number becomes 100x. The positive difference between the two numbers is 100x - x = 99x. Dividing the difference by 11, we have 99x/11 = 9x, which we are told is 21, so we have the equation 9x = 21/9, which equals 7/3. Thus, the original real number is 7/3.

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Write a function for the situation described and find the value after 7 yrs. A $16,800 car depreciates 11% each year
seraphim [82]

Answer:The starting value is 20,300, and the value is decreasing by 9.5% each year.

Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.

A decrease by 9.5% corresponds to multiplying by 91.5% each year.

We write . We plug in 11 years for t.

$7,671.18

Click to let others know, how helpful is it

Read more on Brainly.com - brainly.com/question/9053845#readmore

Step-by-step explanation:

3 0
3 years ago
Suppose that two teams are playing a series of games, each of which is independently won by team A with probability p and by tea
Lady_Fox [76]

Answer:

4 games played = 1/56

5 games played = 5/56

6 games played = 15/56

7 games played = 35/56

Step-by-step explanation:

The probability of each time winning is 0.5

So there are a couple of ways the series could go.

  1. Team A could win all first 4 matches. We can depict this as A-A-A-A
  2. Team A could win 4, while having lost 1.  Lets depict this a A-B-A-A-A
  3. Team A could win 4, while having lost 2. A-B-B-A-A-A
  4. Team A could win 4, while having lost 3. A-B-B-B-A-A-A

These 4 possibilities could be repeated with B winning as well. It should be noted that these are the only ways for the series to end. We find the number of permutations of each possibility above to find their probability.

I advise you to study 'how to permute identical objects' for this.

These permutations are stated below:

1. 4!/4! = 1

2. \frac{5!}{4! * 1!} = 5

3 \frac{6!}{4! * 2!} = 15

4 \frac{7!}{4! * 3!} = 35

These are they ways A or B could win. The total is 1+5+15+35 = 56. The answer given thus reflects the possibilities.

4 0
4 years ago
I'm trying to help my friend
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4 0
3 years ago
If 3t - 7 = 5t , then 6t = ?
worty [1.4K]
3t - 7 = 5t\\&#10;2t=-7\\&#10;6t=-21
7 0
3 years ago
gabe's party will cost $12 if he invites six friends how many friends can Gabe invite if you spend $18​
malfutka [58]

Answer:

i dont like gabe, hes mean to me >:(

Step-by-step explanation:

so no, i wont go to his party :))

7 0
3 years ago
Read 2 more answers
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