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3 years ago

8

A city of 100,000 is having pollution problems and is decreasing in size 2% annually (every year). Find

1 answer:

sweet [91]3 years ago

4 0

Answer:

13,262.

Step-by-step explanation:

The town will reduce at 2% on reducing balance method of end of each year population.

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6x-2y=24<br> how do u solve for y

Tatiana [17]

It's <span>Diophantine equation.
First, we need to found gcd(6,(-2)):</span>
6=2*3
(-2)=(-1)*2

So, gcd(6,-2)=2
Now, the question is. Can we dived c=24, by gcd(6,-2) and in the end get integer?
Yes we can.
$\frac{24}{2} =12$
So, we can solve it.

Now is the formula:
${\begin{cases}x=x_{0}+n{\frac {b}{\gcd(a,\;b)}}\\y=y_{0}-n{\frac {a}{\gcd(a,\;b)}}\end{cases}}\quad n\in \mathbb {Z} .$

Second, we need the first pair (x0,y0)
if
x=0
then
$y=(-12)$

Third, we gonna use that formula:
${\begin{cases}x=-n}\\y=-3(4+n)}\end{case}\quad n\in \mathbb {Z} .$
Congratulations! We solve it.

8 0

3 years ago

Read 2 more answers

Please help me I have been stuck on this question for ages

Finger [1]

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is $P(g)=\frac{4}{9}$

and $P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}$

Thus $\frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}$

$\frac{g}{g+r}=\frac{4}{9}$

$\Rightarrow 9g=4g+4r$

$\Rightarrow 5g=4r\quad \ldots(i)$

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

$P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}$

$\Rightarrow 10g+10r+60=23g+46$

$\Rightarrow 10r+14=13g\ quad \ldots(ii)$

Substitute the value of g in equation (ii)[/tex]

$\Rightarrow 10\times \frac{5}{4}g+14=13g$

$\Rightarrow \frac{25}{2}g+14=13g$

$\Rightarrow g=28$

Therefore $r=35$

Thus there 28 green counter and 35 red counter

6 0

3 years ago

3. Convert 150 yards per minute to feet per day.

vesna_86 [32]

One day has 24 hours.

One hour has 60 minutes.

One day has 24 x 60 = 1440 minutes.

1 yard is 3 feet.

150 yards x 3 = 450 feet.

150 yards per minute = 450 feet per minute.

450 x 1440 = 648,000 feet per day.

3 0

3 years ago

Calculate the volume of a cone with r=6.2 and h=10.9 and Pi=3.14

slega [8]

Answer: The volume(v) is 438.77.

Explanation: The formula for a right circular cone is in the image.

5 0

2 years ago

The equation modeling the population growth of a small town is P(t)=30000(1.02)^t, where P represents the population, and t repr

dlinn [17]

Answer: I’m not for sure but I got 31,212

Step-by-step explanation: You multiply 30000 to 1.02 and then with the 2 and the 10 you divided and get 31,212

3 0

3 years ago

Read 2 more answers