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vlabodo [156]
3 years ago
5

A city has a population of 240,000 people. Suppose that each year the population grows by 7.75%. What will the population be aft

er 7 years?
round your answer to the nearest whole number.
people
Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0

Answer:

\large\boxed{\sf \ \ \   404,699 \ \ \ }

Step-by-step explanation:

Hello,

At the beginning the population is 240,000

After 1 year the population will be

   240,000*(1+7.75%)=240,000*1.0775

After n years the population will be

   240,000\cdot1.0775^n

So after 7 years the population will be

   240,000\cdot1.0775^7=404699.058...

So rounded to the nearest whole number gives 404,699

Hope this helps

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7) -6x + 6y=6<br> -6x + 3y=-12
Gre4nikov [31]

Answer:

(5,6)

Step-by-step explanation:

-6x+6y=6

-6x + 3y =-12

Multiply the first equation by -1

6x-6y=-6

Add this to the second equation

6x-6y=-6

-6x + 3y =-12

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

       -3y = -18

Divide each side by -3

-3y/-3 = -18/-3

y =6

Now we need to find x

6x - 6y = -6

6x -6(6) = -6

6x -36 = -6

Add 36 to each side

6x-36+36 = -6+36

6x = 30

Divide each side by 6

6x/6 = 30/6

x =5

3 0
3 years ago
A diagram shows a kite and its frame.
kati45 [8]

Answer:

indeed it does

Step-by-step explanation:

wheres the diagram exactly?

7 0
2 years ago
Write down a differential equation of the form dy/dt = ay + b whose solutions have the required behavior as t → ∞. all other sol
nordsb [41]

The ODE has an equilibrium point at

\dfrac{\mathrm dy}{\mathrm dt}=ay+b=0\implies y=-\dfrac ba

We want y=2 to be an unstable equilibrium solution - in other words, we want all solutions with initial condition y(t_0)=c for c near 2 to diverge from y=2 - so -dfrac ba=2.

Divergence from y=2 would require that for y>2, any solution is increasing, and for y, and solution is decreasing. In order for that to happen, we need

\dfrac{\mathrm dy}{\mathrm dt}=ay+b>0\implies y>-\dfrac ba

if y>2, and

\dfrac{\mathrm dy}{\mathrm dt}=ay+b

if y.

Now we just pick a,b to satisfy these conditions. An easy choice is a=1, which forces b=-2, so that one possible ODE would be

\dfrac{\mathrm dy}{\mathrm dt}=y-2

I've attached a plot of the slope field to demonstrate the behavior of the solutions.

6 0
2 years ago
kyle bought 28 feet of wire at the handware store. the wire cost was $2.79per foot, including sales tax. if kyle paid with a $10
Alex17521 [72]
He should receive around $21.88. This is excluding the fact he still needs to pay the sales tax. I would subtract a few more dollars.


Please vote my answer! Brainliest.
6 0
2 years ago
(NEED DONE QUICK) Two angles are supplementary. One of the angles measures 4(2x+9) and the other angle measures 2(4x-8) what is
Studentka2010 [4]

Answer:

x=10

Step-by-step explanation:

Supplementary angles are angles equal to 180°.

Therefore:

4(2x+9)+2(4x-8)=180

Now that we have our equation, let's distribute the 4 and the 2 into the parentheses they are next to:

8x+36+8x-16=180

Combine like terms:

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Subtract 20 from both sides of the equation:

16x=160

Divide by the coefficient of x, which is 16:

x=10

~

Check your work by substituting 10 into one of the equations above:

8(10)+36+8(10)-16=180

80+36+80-16=180

180=180

It's correct!

6 0
2 years ago
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