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kap26 [50]
3 years ago
8

Please help! WILL GIVE BRAINLIEST!!

Mathematics
1 answer:
Ainat [17]3 years ago
4 0

Answer: i took a test with the same question and it was a

Step-by-step explanation:

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The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
2 years ago
Tamara took guitar lessons for 5.8 years. Then she took trumpet lessons for the next 3.4 years.
BlackZzzverrR [31]
The answer is 9.2 hope this helps
7 0
3 years ago
Read 2 more answers
Kelly earns $178.50 in interest on an account that earns simple interest at a rate of 4%. If she kept the money in the account f
Otrada [13]

Answer:

  $892.50

Step-by-step explanation:

The amount of interest earned is given by ...

  I = Prt

Filling in the given values, we have ...

  $178.50 = P·0.04·5

Dividing by 0.20 gives ...

  $178.50/0.20 = P = $892.50

The principal amount in Kelly's account is $892.50.

7 0
2 years ago
which cost more. 8 printers priced at $145 per printer or 3 laptop computer priced at $439 per computer? explain.
Elodia [21]
8 printers for $145 each is a total of $1160.

3 laptops for $439 is a total of $1317.

Therefore, the price of 3 laptops for $439 each cost more than 8 printers for $145 each.
8 0
3 years ago
Read 2 more answers
Which statements are correct about the two-way
Vlad [161]

Answer:A,C,E

Step-by-step explanation:

5 0
3 years ago
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