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Harrizon [31]
3 years ago
5

In 2007 the population of the town of Cartersville was 24,455. The population growth can be represented by the formula P = 24,45

5(1.03)x, where x represents the number of years after 2007. When will the population of the town first exceed 30,000?
Mathematics
1 answer:
Triss [41]3 years ago
3 0
P = 24455 (1.03)x
30,000/24455 (1.03) < x
The year must be > 1.19 + 2007, or 2008.19, which means in 2009, or in 2008 + 3 months
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6,000= 6 x 10^3

.0006= 6 x 10^-4. Hope this helped!
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3 years ago
In how many ways 5 boys and 3 girls can take their seat in a row so that , no girls seat together
Stels [109]

Answer:

36000 different ways

Step-by-step explanation:

If we have 5 boys and 3 girls, the total number of people we have will  be 5+3 = 8 people. If there are no restrictions, this 8 people can be arranged in 8! different ways.

8! = 8*7*6*5*4*3*2*1

8! = 40,320 ways.

If 3 of the girls are to sit together, then we will take the girls as an entity. The total number of people if the girls are treated as one will be 5 boys and a girl which is 6. They can all be arranged in 6! ways but also note that the 3 girls can be rearranged among themselves in 3! ways. The total number of arrangement if the 3 girls are to sit together will be 6!*3!.

6!*3! = 6*5*4*3*2*3*2

6!*3! = 4320 different ways

The number of different ways if no girls are to seat together = 8!- (6!*3!)

= 40,320 - 4,320

= 36000 different ways

4 0
4 years ago
Bill stood outside the mall and asked every fourth person to enter the mall for their favorite sport. There were four choices: f
iren [92.7K]
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7 0
3 years ago
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Alona [7]

Answer:

1.33333333333 , simplified to 1.3

Step-by-step explanation:

Our equation is 2 multiplied by 2 over 3.

Fractions mean division.

So, let's multiply 2 by 2/3.

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That's too long! What can we simplify it to?

1.3

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8 0
3 years ago
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A submarine left hawaii and travels east at an average speed of 10 mph. An aircraft. Carrier left at the same time and traveled
Rina8888 [55]

Answer:

10 hours

Step-by-step explanation:

Given:

Average speed of submarine = 10 mph

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Distance between the submarine and carrier = 300 mi

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The time taken so that the distance between them is 300 mi ?

Solution:

The relative speed when they are traveling in opposite direction = 10+20 = 30 mph

Formula:

\text{Time }=\dfrac{\text{Distance Traveled}}{\text{Speed}}

\text{Time }= \dfrac{300}{30} = \bold{10\ hours}

So, the answer is <em>10 hours</em>.

6 0
3 years ago
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