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2 years ago

The population of a town is 15,000. It decreases at a rate of 8% per year. In about how many years

Mathematics

1 answer:

Paha777 [63]2 years ago

4 0

Answer:

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

population=15000(.92)ⁿ

where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

.66667=.92ⁿ

a rule we have is

$n=y^x\\log_yn=x$

which means that

$.66667=.92^n\\=log_{.92}.66667$

compute this and get

4.867

round this up to 5

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lesya [120]

Answer:

0.01083 or 1.083%

Step-by-step explanation:

This problem can be modeled as a binomial probability model with probability of success p = 0.56.

The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

$P(X=x) = \frac{n!}{(n-x)!x!} *p^x*(1-p)^{n-x}\\P(X=13) = \frac{15!}{(15-13)!13!} *0.56^{13}*(1-0.56)^{15-13}\\P(X=13) = 0.01083=1.083\%$

The probability is 0.01083 or 1.083%.

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2 years ago

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Iteru [2.4K]

4.8, I hope this helps you, I answered this earlier. :)

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3 years ago

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Three consecutive even integers have a sum of -126. What is the smallest integer ?

SSSSS [86.1K]

Answer:

-40, - 42 and -44

Step-by-step explanation:

The fastes way here is trying. Lets pick a number, intelligently, and then work on it.

We need three even integers that sum -126. These will be all negative numbers and as they are consecutive they will be very similar (for example, -33 and -35 and -37). Thus, lets start by 1/3 of -126, which is -42:

(-42)+ (-44) + (-46) = - 132, so -42 no.

Lets go a step back: -40

(-40) + (-42) + (-44) = -126

So, the integers are -40, -42 and -44

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3 years ago

Factor f(x)=x2−8x+16 (A) (x−4)2 (B) (x+8)2 (C) (x−8)2 (D) (x+4)2

Fynjy0 [20]

Answer:

Step-by-step explanation:

(x-4)^2 = x^2 -4x -4x + (-4)*(-4)

= x^2-8x+16 as required

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2 years ago

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Setler [38]

Answer:

A hope this helps

Step-by-step explanation:

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3 years ago

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