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1 year ago

5

A bag contains 2 red marbles, 7 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the exact pro

bability that both marbles drawn will be blue?

1 answer:

dem82 [27]1 year ago

5 0

The overall probability it 7/17

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The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

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The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

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This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

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So

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

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3 years ago