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2 years ago

!!!!!!!!!!!!!!!!!!!help!!!!!!!

Mathematics

1 answer:

Marrrta [24]2 years ago

7 0

Answer: Answer below.

Step-by-step explanation: Attached is my work. Hope it is helpful!

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In 2010, the population of a town was 8500. The population decreased by 4.5% each year.

Soloha48 [4]

Answer:

This is a problem in exponential decay.

a) If a town's population decreases by 4.5% every year that also means that the town's population decreases by a factor of .955 each year. (1 - .045 = .955)

So, after 5 years, the town's population is:

8,500 * .955^5 which equals 6,752.

So, basically, after t years, the town's population equals

8,500 * .955^t where t is the number of years that have passed since the year 2010.

b) population = 8,500 * .955 ^ (number of years since 2010)

7,000 / 8,500 = .955 ^ (number of years since 2010)

0.8235294118 = .955 ^ (number of years since 2010)

To solve for (number of years since 2010) we take logs of both sides

log (0.8235294118 ) = number of years since 2010 * log(.955)

-0.0843208857 = number of years since 2010 * -0.0199966284

-0.0843208857 / -0.0199966284 = number of years since 2010

4.2167551422 = number of years since 2010

So, population = 7,000 when the year is 2014.2167551422

Or about 2.6 months into 2014

(YES, it's just that "easy") LOL

Step-by-step explanation:

6 0

3 years ago

Which of the following equations have infinitely many solutions? Choose all answers that apply: Choose all answers that apply: (

TiliK225 [7]

Answer:

All options are correct.

Step-by-step explanation:

In option (A), the given equation is

$x-37=x-37$

Add 37 on both sides.

$x-37+37=x-37+37$

$x=x$

Subtract x from both sides.

$x-x=x-x$

$0=0$

LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.

Similarly.

In option (B), the given equation is

$73x-37=73x-37$

$73x=73x$

$0=0$

LHS=RHS for all values of x. It means equation 73x-37=73x-37 has infinite many solutions.

In option (C), the given equation is

$37x-37=37x-37$

$37x=37x$

$0=0$

LHS=RHS for all values of x. It means equation 37x-37=37x-37 has infinite many solutions.

In option (D), the given equation is

$74x-37=74x-37$

$74x=74x$

$0=0$

LHS=RHS for all values of x. It means equation 74x-37=74x-37 has infinite many solutions.

Therefore, all options are correct.

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3 years ago

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lara31 [8.8K]

I’m pretty sure it’s B if not try D

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hoa [83]

Answer:80

Step-by-step explanation: It is 80

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