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DIA [1.3K]
3 years ago
8

The population of a city increases by 3.7% per year. If this year's population is 206,000, what will next year's population be,

to the nearest individual?​
Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

206,762

Step-by-step explanation:

206,000 * 0.037 = 762.2

762.2 + 206,000 = 206,762.2, rounded to 206762

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The units pf the digits of a two digits numeral is 8 if the digits are reversed the new number is 18 greater than the oringal nu
ra1l [238]

complete question:

The sum of the digits of a two-digit numeral is 8. If the digits are reversed, the new number is 18 greater than the original number. How do you find the original numeral?

Answer:

The original number is 10a + b  = 10 × 3 + 5  = 35

Step-by-step explanation:

Let

the number = ab

a occupies the tens place while b occupies the unit place. Therefore,

10a + b

The sum of the digits of two-digits numeral

a + b = 8..........(i)

If the digits are reversed. The reverse digit will be 10b + a. The new number is 18 greater than the original number.

Therefore,

10b + a = 18 + 10a + b

10b - b + a - 10a = 18

9b - 9a = 18

divide both sides by 9

b - a = 2...............(ii)

a + b = 8..........(i)

b - a = 2...............(ii)

b = 2 + a from equation (ii)

Insert the value of b in equation (i)

a + (2 + a) = 8

2a + 2 = 8

2a = 6

a = 6/2

a = 3

Insert the value of a in equation(ii)

b - 3 = 2

b = 2 + 3

b = 5

The original number is 10a + b  = 10 × 3 + 5  = 35

6 0
3 years ago
How many three-digit positive integers <img src="https://tex.z-dn.net/?f=x" id="TexFormula1" title="x" alt="x" align="absmiddle"
Anastaziya [24]

Answer:

  40

Step-by-step explanation:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.

As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.

_____

The equation reduces, mod 23, to ...

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Its solutions are x = 23n +8.

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3 years ago
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Answer:

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3 years ago
Y = x^2 + 2x - 8 Solve with zeros
Katen [24]

Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

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Using the zero product property

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If you received a score of 80% on an assignment,what is the ratio of correct answers to incorrect answers
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Im not really sure so ill just give it a try.
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