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katrin2010 [14]
2 years ago
13

All of the members of our spray-painting team paint at the same speed. If 20 team members can paint a 4800 square foot wall in 3

6 minutes, then how many minutes would it take for 9 team members to paint a 4200 square foot wall?
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
3 0

Answer:

It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.

Step-by-step explanation:

4800 ÷ 20 = 240 sq ft per team member in 36 minutes

240 ÷ 36 = 6.67 sq ft per team member in 1 minute

6.67 × 9 = 60 sq ft per 9 team members in 1 minute

4200 ÷ 60 = 70 minutes (or 1 hour and 10 minutes)

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Step-by-step explanation:

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In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen
Mashcka [7]

Answer:

a) P' = P

   P(t) = 24e^{0.693t} where t is step of 6 months

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Step-by-step explanation:

The differential equation describing the population growth is

\frac{dP}{dt} = P

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

P(t) = P_0e^{kt}

where P_0 = 24 is the initial population

After 6 month (t = 1), the population is doubled to 48

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Therefore P(t) = 24e^{0.693t}

where t is step of 6 months

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24e^{0.693t} = 1000000

e^{0.693t} = 1000000 / 24 = 41667

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So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

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24e^{0.5k) = 48

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k = 1.386

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4 0
3 years ago
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Replace the radius in the formula:

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