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S_A_V [24]
3 years ago
5

A small town currently has a population of 15,000. Each year the population decreases by 2.25%. What will the population be in 8

years
Mathematics
1 answer:
kolbaska11 [484]3 years ago
6 0

Answer: 12,503 people

Step-by-step explanation:

This is an exponential decrease so to find the population in 8 years you have to use a future value formula:

= Amount * (1 + rate) ^ number of years

= 15,000 ( 1 + (-2.25%)) ⁸

= 15,000 * (1 - 2.25%)⁸

= 12,503.32

= 12,503 people

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Answer:

0.0959

Step-by-step explanation:

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Let's call

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P(d) = 24/74 the probability of grabbing a dime

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P(q) = 25/74 the probability of grabbing a penny

What is the probability that you reach into the jar and randomly grab a dime and then, without replacement, a nickel?

Here we want to find P(n | d) the probability of grabbing a nickel given that you already grabbed a dime.

By the Bayes' Theorem

\bf P(n|d)=\frac{P(d|n)P(n)}{P(d|p)P(p)+P(d|d)P(d)+P(d|n)P(n)+P(d|q)P(q)}

Now,

P(d | p) = 24/73 since there are now 73 coins and 24 dimes.

Similarly,

P(d | d) = 23/73 for you already grabbed a dime

P(d | n) = 24/73

P(d | q) =24/73

Replacing in the Bayes' formula

\bf P(n|d)=\frac{(24/73)(7/74)}{(24/73)(18/74)+(23/73)(24/74)+(24/73)(7/74)+(24/73)(25/74)}=0.0959

So

P(n | d) = 0.0959

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4 years ago
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