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muminat
3 years ago
9

1

Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

12

Step-by-step explanation:

red hat, black shirt, black pants

red hat, white shirt, black pants

red hat, striped shirt, black pants

black hat, black shirt, black pants

black hat, white shirt, black pants

black hat, striped shirt, black pants

that is six different combinations without the use of the pair of blue pants, thus you should be able to just do all those combinations over again with just blue pants leading to a total of 12 combinations. I think lol

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PLEASE HELPPPPPPBobby took out a single loan for $500 and paid a $50 fee. His loan is due in 1 week. Find the effective interest
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The volume of a soap bubble is 555.4 mm^2 Find the radius and diameter of the soap bubble. Use 3.14 for pi
SashulF [63]

Answer:

radius=11.5

diameter=23

Step-by-step explanation:

The volume of a sphere is V=4/3 Pi r^3

We can use this to solve for the radius.

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Hope this helps!

Note: When I say both sides, I mean both sides of the = sign.

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2 years ago
Naomi invested $3,425 in an account that pays 3% simple annual interest. what was the total balance in the account after 15 year
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During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time
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Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\frac{dP}{dt} = Pr

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\frac{dP}{P} = r dt

\int \frac{dP}{P} = \int r dt

\ln{P} = rt + K

Applying the exponential to both sides:

P(t) = Ke^{rt}

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

P(t) = 300e^{rt}

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

P(t) = 300e^{rt}

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e^{24r} = \frac{10}{3}

\ln{e^{24r}} = \ln{\frac{10}{3}}

24r = \ln{\frac{10}{3}}

r = \frac{\ln{\frac{10}{3}}}{24}

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So

P(t) = 300e^{0.05t}

At what time t is the population 500?

This is t for which P(t) = 500. So

P(t) = 300e^{0.05t}

500 = 300e^{0.05t}

e^{0.05t} = \frac{500}{300}

e^{0.05t} = \frac{5}{3}

\ln{e^{0.05t}} = \ln{\frac{5}{3}}

0.05t = \ln{\frac{5}{3}}

t = \frac{\ln{\frac{5}{3}}}{0.05}

t = 10.22

The population is of 500 after 10.22 hours.

7 0
2 years ago
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