Suppose a city with population 500,000 has been growing at a rate of ​7% per year. If this rate​ continues, find the population of this city in 21 years?

Answers

Answer 1

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

initial population = 500000rate of increase = 7%

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281


Related Questions

Complete the explain on why x + 4 ≥ 7 and x − 4 ≥ −1 have the same solutions.

Answers

Step-by-step explanation:

[tex]x + 4 \geqslant 7 \\ x \geqslant 7 - 4 \\ x \geqslant 3[/tex]

[tex]x - 4 \geqslant - 1 \\ x \leqslant - 1 + 4 \\ x \leqslant 3[/tex]

anybody know this answer?​

Answers

Answer:

y = -4/5x + 3

Step-by-step explanation:

Chose any two points on the line:

(5, -2)

(-5, 6)

Slope = (y2 - y1) / (x2 - x1)

6 -(-2) / -5 - 5

8 / -10

-4/5

Equation:

y = mx + b

Plug in x and y using any coords and then plug in m (the slope):

-2 = -4/5 * 5 + b

-2 = -20/4 + b

-2 = -5 + b

Add 5 on both sides:

3 = b

Now our equation is:

y = -4/5x + 3

Please let me know if I've done something wrong!

You flip a coin. What is p(tails). As a percentage

Answers

Answer:

50%

Step-by-step explanation:
Since there are only two sides on a coin, each side would have a 50% chance

After school one night, I had to stop at the local office supply store and pick up a few items. I bought 2 packages of page dividers. They each cost $3.79. I bought one package of Post-It Tabs that cost $6.79. Finally, I bought a large binder for $11.99. Sales tax was 7.5% and I paid with a 50 dollar bill. How much change did I receive?

Answers

Answer:

25.74 ?

Step-by-step explanation:

What is 81 squared also free

Answers

Answer:

9

Step-by-step explanation:

9 * 9 = 81

sqrt(81) = 9

basic multiplication tables

NEED HELP NOW!! FOR MATH 10PTS

Answers

Answer:

a)

Step-by-step explanation:

Cost function = revenue function - profit function

   = -0.3x² + 150x - [-0.5x² + 250x - 300]

   = -0.3x² + 150x + 0.5x² - 250x +300

  = -0.3x² + 0.5x² + 150x - 250x + 300   {Combine like terms}

  = 0.2x² - 100x + 300

What is 10+5

PLEASE HELP

Answers

Answer:

of course 15 is the correct answer

Step-by-step explanation:

mark me brainliest

anybody know what to put

Answers

Answer:

yes we answered this earlier, its x / 3 < 5

Step-by-step explanation:

because it says at most. so i dont think it should be "<="

help please i’m really struggling!!

Answers

Answer:

1/6

Step-by-step explanation:

rise=1

run=6

therefore run over run is 1/6

Albert and Mark are candidates. Albert received 2,500 votes while Mark received 3,000 votes. What is the ratio of albert's vote against Mark's?

Answers

Answer:

albert 2500:3000 mark/÷100

25÷30 /÷5

5:6

their ratio is 5:6

Someone pls help me

Answers


I think the answer is (3,10)

A mechanic alters the lighthouse to make the light rotate in such a way that is reflection travels north word along the wall at a constant rate of 100 ft./s how fast in radians per second is the beam of light rotating when the lights reflection is 100 feet north of the point on the wall that is closest to the lighthouse

Answers

Answer:

The correct solution will be "1 Rad/sec".

Step-by-step explanation:

The given value is:

Velocity (V)

= 100 ft./sec

As we know,

Angular velocity,

⇒  [tex]\omega=\frac{V}{R}[/tex]

On substituting the values, we get

⇒     [tex]=\frac{100}{100}[/tex]

⇒     [tex]=1 \ Rad/sec[/tex]

Harry invests some money in low-risk and high risk investments in the ratio 7:3. he invests £1800 into the high risk investments. how much money does he invest altogether?

Answers

Answer: £2571.43

Step-by-step explanation:Total ratio=7+3=10

If 7 = £1800 then 10 =10÷7*£1800 =£2571.43

Which of the following equations have a slope of -1/2 and passes through the point ( − 5 , 2 ) ?

Answers

Answer:

where are the equations.

What is the value of x?

Answers

The sum of all the angles of a triangle is 180 degrees

We see that Line HI and JI are equal in length meaning that triangle HIJ is an isosceles triangle. This means that the two angles of unknown measure are both x.

So lets now set up our equation:

  [tex]x + x + 74 = 180\\2x = 106\\x = 53[/tex]

Thus x is 53 degrees

Hope that helps!

53 degrees I believe

Find the slope of the line between (19,–27) and (34, 15)

Answers

Answer:

K

Step-by-step explanation:

Answer:

The answer is 14/5

Step-by-step explanation:

I Hope this helps

The freshman class is selling candy bars to raise money. They purchased 3100 candy bars and paid a delivery fee of $35. The total cost, including the delivery fee, was $1430. What was the cost of each candy bar?

Answers

Answer:

$0.45

Step-by-step explanation:

To answer this question, we first have to subtract the delivery fee from the total cost:

1430 - 35 = 1395

Now, we divide this number by the total amount of candy bars:

1395 / 3100 = 0.45

So, each candy bar costs $0.45

Hope this helps :)

Each candy bar would be 45 cents

What does A'=? Also what would B=?

Answers

Answer:

A'(-1,-1)

Step-by-step explanation:

A( -3,-3)

A'(-3*1/3,-3*1/3)

A'(-1,-1)

~

The table of values below represents a linear function and shows the amount of money in Juanita’s savings account since she began her part-time job. What is her monthly rate of savings?

Amount in Juanita’s Savings Account
Number of Months Working at Part-Time Job
0
2
4
6
8
Amount in Savings Account (in dollars)
$36
$60
$84
$108
$132

Answers

her total savings are 420 dollars

Answer: the answer should be C

Step-by-step explanation: I just did it

can anyone tell me what to shade bc I'm still confused-​

Answers

Answer:You are correct but you need to shade in one more square.

Step-by-step explanation:

Answer:you got it right dude shade in 5 tho

at a hockey game the snack bar sells nachos 2 dollars and pretzels for 3 dollars. The snack bar sold 49 nachos and pretzels all together for $137 dollars

Answers

Answer:

The total number of nachos sold:49

The total number of pretzels sold:13

Step-by-step explanation:

The numbers of nachos is 49. Each nacho costs 2 dollars.

2 x 49 = 98

Then you subtract that amount to get the amount of money left for pretzels.

137 - 98 = 39

Then you divide 39 by 3 since that's the cost of each pretzel.

39 ÷ 3 = 13

13 is the amount of pretzels you can buy after you buy 49 nachos.

Help, I need the answer to this ASAP

Answers

Answer:

a=15 is the answer

What is the value of the equation 3×-9y=1?

A.3 B. 9 C. 1 D. -9

Answers

Answer:

y = -1/27

Step-by-step explanation:

3 * -9y = 1

~Simplify left side

-27y = 1

~Divide -27 to both sides

y = -1/27

Best of Luck!

You have a Maxi Card with a $700 limit for this exercise. The card has a monthly finance charge of 1.67%. Fill out the following table. Your payment each month is $50. You are finished when you have paid it off.
Each month, except the first:
Balance = last month’s new balance – payment
onthly Finance Charge = balance (0.0167)
New balance = balance + monthly finance charge
Month 1 2 3 4 5 6 7 8
Balance
Interest
New Balance
Payment
Month 9 10 11 12 13 14 15 16 Total
Balance
Interest $
New Balance
Payment $

Answers

Answer: You have $83.50 on the card each month.

Step-by-step explanation:

Answer:

You have $83.50 on the card each month.

Step-by-step explanation:

hope this helps

(2m -3)^2 pls answer fast

Answers

Answer:

4m^2-12m+9

Step-by-step explanation:

[tex](2m -3)^2[/tex]

[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]\left(2m-3\right)^2=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]

[tex]=\left(2m\right)^2-2\cdot \:2m\cdot \:3+3^2[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]=4m^2-12m+9[/tex]

~Learn with Lenvy~

Answer:

[tex] \bf \longrightarrow \: ( {2m - 3)}^{2} [/tex]

Using Identity

[tex] \bf \longrightarrow \:(a - b) {}^{2} = { a}^{2} + {b}^{2} - 2ab[/tex]

Let,

a = 2m

b = 3

Now

[tex] \sf \longrightarrow \:(2m) {}^{2} + {3}^{2} - 2(2m \times 3) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 2(6m) \\ \\ \\ \sf \longrightarrow \:4 {m}^{2} + 9 \: - 12m[/tex]

Therefore,

Your answer is 4m² + 9 - 12m .

What is the average rate of change of f over the interval

Answers

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

The diameter of a circle is 36 inches. What is the circle's area?

use 3.14 for PI

but only windowssssssssssssssssssss

Answers

Answer:

1,017.36 in²

Solution:

The area of the circle is the region occupied by it in the two dimensional plane.

Area of a circle is given by ;

πr²

The diameter of the circle is 36inches

‎ㅤ‎ㅤ‎ㅤ➙ Radius = D / 2

‎ㅤ‎ㅤ‎ㅤ➙ Radius = 36 / 2

‎ㅤ‎ㅤ‎ㅤ➙ Radius = 18 inches

Therefore, area :

A = πr²

A = 3.14 × ( 18 )²

A = 3.14 × 324

➝ A = 1017.36

Solution:

We know that:

Diameter of circle = 36 in.Radius of circle = Diameter/2 in.Area of circle = πr²

Finding the radius of the circle:

Radius of circle = Diameter/2 in.=> Radius of circle = 36/2 in.=> Radius of circle = 18 in.

Finding the area of the circle:

Area of circle = πr²=> Area of circle = (3.14)(18²)=> Area of circle = (3.14)(324)=> Area of circle = 3.14 x 324 = 1017.36 in²

helpppp?

s
hvxsihazp,,lk who, ev​

Answers

Answer:

3. diameter and 4. 14.10cm

Step-by-step explanation:

The distance from point R to point M is the diameter of the circle, it basically cuts the circle is half.

The diameter of a circle is double the radius, 7.5 cm is shown as the radius, so the diameter is 14.10 cm.

QUICK please will give brainliest to correct answer please and thank you.​

Answers

Answer:

I would say B.

Step-by-step explanation:

What is m A)30
B)60
C)90
D)50

Answers

Answer:

A) 30°

Step-by-step explanation:

All triangles angles add always to 180°, so we have two already 75° + 75° = 150° thus the angle is 30°

Answer:

m Is 30

Step-by-step explanation:

m is 30

because....the sum of angles in a triangle is 180

75+75+m =180

150+m=180

make m the subject of the formula

m=180-150

m=30

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