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matrenka [14]
3 years ago
5

The population of a city is growing at an average rate of 3% per year in 1990 the population was 45 000.

Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0
This is an exponential growth/decay problem...

F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case:

F=I(1.03)^t  and they just want to know when F=2I so

2=1.03^t  take natural log of both sides...

ln2=t*ln1.03

t=ln2/(ln1.03)

t≈23.45

So it will take approximately 23.45 years for the population to double..

1990+23.45=2013.45

So during the year of 2013 the population will have double from its 1990 level.
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Solve for x. x +7 / -3=1
ch4aika [34]
<h3>I'll teach you how to solve x +7 / -3=1</h3>

-----------------------------------------------

x +7 / -3=1

Subtract 7/-3 from both sides:

x+7/-3-7/-3=1-7/-3

Simplify:

x=10/3

Your Answer Is x=10/3

plz mark me as brainliest if this helped :)

7 0
3 years ago
I need help plzzzzzzo
antoniya [11.8K]

Answer:

→ {x}^{3}  + 2 {x}^{2}  - 9x - 18 \\  =  {x}^{2} (x + 2) - 9(x + 2) \\ =  (x + 2)( {x}^{2}  - 9) \\  =  \boxed{(x + 2)(x + 3)(x - 3)}

  • <u>A. (x + 2)</u> is a factor of the polynomial.
7 0
3 years ago
Points for points?
sattari [20]

All the best!!

thanks for the points!

it was nice to meet you <3

6 0
3 years ago
Over 6 days, jim jogged 6.5,5,3,2,3.5, and 4 miles. What is the mean distance that Jim jogged
bonufazy [111]

To get the mean distance that Jim jogged, you have to solve for the total miles he was able to jogged divided by the number of days he jogged.

6.5 miles + 5 miles + 3 miles + 2 miles + 3.5 miles + 4 miles = 24 miles / 6 days = 4

Therefore, the mean distance that Jim jogged is 4 miles.

6 0
3 years ago
A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a
dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties.  The difference is   (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

       1/6  =  5/30

     1/10  =  3/30 .

So in every hour,  5/30 of the pool fills, and  3/30 of the pool empties.
The result of both at the same time is that  2/30 = 1/15  fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.


If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours.  With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted. 

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week.  I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.


6 0
3 years ago
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