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maxonik [38]
2 years ago
5

The population of a town increases every year by 2% of the population

Mathematics
1 answer:
OLga [1]2 years ago
5 0

Answer:

Step-by-step explanation:

A = Pe^rt

A = 1.4P

r = 0.02

t = ?

e^0.02t = 1.4

ln both sides

0.02t = ln(1.4)

t = ln(1.4)/0.02

t ~ 16.8 years

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Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on
ad-work [718]

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that  

P(X=0)=\frac{1}{2}

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

P(X=1)=\frac{1}{6}

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

P(X=2)=\frac{1}{12}

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence  

P(X=3)=\frac{1}{20}

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence

P(X=4)=\frac{1}{5}

7 0
3 years ago
FlybynightSavings.com is offering a savings account that pays 28% compounded continuously. How much interest would a deposit of
Helga [31]
P =$3000, r = 28% , t = 5 years
<span>A = 3000.e^(0.28)(5) = 3000.(4.0551) = $12,165.60</span>
5 0
3 years ago
What are the next two numbers 481, 491
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Answer: 501, 511

Step-by-step explanation:

You add ten so 491 plus 10 would 501.

3 0
3 years ago
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Answer:  

Step-by-step explanation :Answer

To chance an improper fraction into a mixed number first divide the numerator by the denominator

Example 11/5 divide 11 by 5 and you get 2.2 that means that 5 goes into 11 twice with some leftover which means the answer is going to be 2 plus a fraction

To get the fraction you multiply the denominator by the whole number you found (5*2) and subtract the numerator by that new number

5*2=10 11-10=1

Your new fraction is now 2 1/5

8 0
2 years ago
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The difference between 45 and y is 9
faltersainse [42]

Answer:

y = 36

Step-by-step explanation:

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