In 1999, the nation of Malaysia moved its capital from Kuala Lumpur to Putrajaya because of overcrowding. In 2019, the population of Putrajaya was about 86,900, and in 2020, the population grew to about 110,000.

(a) What was the growth rate (k) from 2019 to 2020?

(b) At that rate of growth, what is the population expected to be in 2024?

(c) If the current growth rate continues, when will the population of Putrajaya reach half a million?

Answer:

Step-by-step explanation:

Divide 360 by the number of sides in a regular polygon to find θ

θ = 360/5 = 72°

Use law of cosines to find the radius of the circle which equals the common length sides of the isosceles triangle

12² = R² + R² - 2•R•Rcos72

12² = 2R² - 2R²cos72

12² =  2R²(1 - cos72)

R² = 12² / 2(1 - cos72)

R² = 104.1993788...

R = 10.2078...

The height of the isosceles triangle is

h = Rcos(θ/2) = 10.2078cos(72/2) = 8.258291...

The shaded area is the area of the circle minus the area of the pentagon.

A = π(104.1993) - 5(½(12)(8.258291))

A = 327.35200... - 247.74874...

A = 79.6032575...

A = 79.60 units²

The Area of the shaded region is A = 79.60 units²

A planar triangle's side's square is equal to the sum of the squares of the other sides minus the product of those sides and the cosine of the angle that separates them by two.

Given:

length= 12

So, Divide 360 by the number of sides in a regular polygon

θ = 360/5

θ = 72°

Use law of cosines

12² = R² + R² - 2 x R x Rcos72

12² = 2R² - 2R² cos72

12² =  2R²(1 - cos72)

R² = 12² / 2(1 - cos72)

R² = 104.1993788...

R = 10.2078...

Thus, the height of the isosceles triangle is

h = R cos(θ/2)

   = 10.2078cos(72/2)

   = 8.258291...

and, the shaded area is

A = π(104.1993) - 5(½)(12)(8.258291))

A = 327.35200 - 247.74874

A = 79.6032575

A = 79.60 units²

Learn more about Law of Cosine here:

https://brainly.com/question/17289163

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Answer:

[tex]\frac{401}{8}[/tex]

Step-by-step explanation:

[tex]\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}[/tex]

[tex]\sf{Zeros\: are\: also\: called\: roots.}[/tex]

The roots (zeros) are the [tex]x[/tex] values where the graph intersects the [tex]x[/tex]-axis. To find the roots (zeros), replace [tex]y[/tex] with 0 and solve for [tex]x[/tex].

[tex]y = - 8x + 401\\\\0 = - 8x + 401\\[/tex]

[tex]-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}[/tex]

[tex]\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}[/tex]

Answer:

C) 85.0º

Step-by-step explanation:

a+2a+a+10=180

3a+10=180

3a=180-10

3a=170

a=42.5

a+10=52.5

2a=85

Answer:

B

Step-by-step explanation:

Answer:

j = 6

Step-by-step explanation:

(5 + 3)6 = 48

     (8)6 = 48

       48 = 48

Answer:

75*.15=11.25 (tip amount)

75+11.25= $86.25 (total amount)

Answer:

8 i

Step-by-step explanation:

Answer:

8 i

Step-by-step explanation:

for sure not 8 because i got it wrong on the test

Answer:

area = 38.465^2 cm

circumference = 21.98 cm

Step-by-step explanation:

area =

divide the diameter by itself and multiply radius by itself and multiply by 3.14

7/2 = 3.5 | (3.5)^2 = 12.25 | (12.25) (31.4) = 38.465^2 cm

circumference =

multiply the diameter by 3.14

(7) (3.14) | 21.98

^2 (squared)

If

[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]

then its derivative, using the power rule, is

[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]

At h = 16, the second derivative has a value of

[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]

Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).

Answer:

  a) N5995.13

  b) N14376.61

  c) N36762.11

Step-by-step explanation:

For repetitive calculations, I like to use a spreadsheet or graphing calculator. __

The formula for the amount is ...

  A = P(1 +r)^t . . . . . . where principal P is invested for t years at rate r compounded annually

The principal being invested is P = 5000. The interest rate is r = 9.5% = 0.095, and the time is t = 2 years. Putting these values into the formula gives ...

  A = 5000(1 +0.095)^2

  = 5000(1.199025) = 5995.125

This rounds to an account balance after 2 years of N5995.13.

The calculations for the other amounts and time periods are done the same way, but for different values of P and t. You can do these calculations by hand, but it is generally much easier to use a calculator, spreadsheet, or other tool.

The attachment shows use of a tool that lets a function be defined that takes P and t as arguments. It is shown as being evaluated for the different values of P and t in this problem.

  A = N10,000(1 +0.095)^4 = N10,000(1.43766095) = N14376.6095

This rounds to an account balance after 4 years of N14376.61.

  A = N28000(1.095)^3 ≈ N36762.11

Answer:

$427.50

Step-by-step explanation:

I think this is the answer because 4.5 percent of $9,500 is $427.50

________

[tex] \: [/tex]

Weight of cats, in pounds: 9, 11, 11, 12, 14, 14, 15, 15, 16, 17, 18, 18, 20, 22

Lowest value: 9

Highest value: 22

Spread: 9 = 1, 11 = 2, 12 = 1, 14 = 2, 15 = 2, 16 = 1, 17 = 1, 18 = 2, 20 = 1, 22 = 1

Center value: (15 + 15)/2 = 30/2 = 15

3 3/4

I need to type more, this is just filler. Ignore it.

Answer:

8.85 * 10 ^17

Step-by-step explanation:

8.2 * 10 ^17 + 6.5 * 10 ^16

They must be to the same power to add

8.2 * 10 ^17 + .65 * 10 ^17

Add

8.85 * 10 ^17

Answer:It would take 1.700 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:     then it would be 7 or 9 hours

Answer:

Step-by-step explanation:

Increased price = 11% of   £ 13000

                          = 0.11 * 13000

                           = 1430

Price after increase = 13000 + 1430 =  £ 14,430

Step-by-step explanation:

the equation :

(y-3)/(3-3) = (x-8) /(7-8)

(y-3) /0 = (x-8) /(-1)

(-1)(y-3) = 0(x-8)

-y +3 = 0

y = 3

(this is a horizontal line)

Answer:

y = 3 (Horizontal line)

Step-by-step explanation:

point: (8, 3) and (7, 3)

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 3)/(3 - 3) = (x - 8)/(7 - 8)

(y - 3)/0 = (x - 8)/(-1)

(-1)(y - 3) = 0

-y + 3 = 0

-y = - 3

y = 3 (Horizontal line)

Step-by-step explanation:

so, we pick the first one. the probability this person swims is 0.45.

if yes, then we pick the second one. this one has also a probability of swimming of 0.45.

combined with the probability of the first one being a swimmer this is now 0.45×0.45.

the same with the third pick.

and we have the probability that all 3 swim of

0.45×0.45×0.45 = 0.45³ = 0.091125

that is rounded about 0.09 or 9%.

Answer:

To solve for the value of a, you have to isolate “a“ on one side.

-5a - 2.2 < 17.8

Add 2.2 to both sides.

-5a < 20

Divide both sides by -5. Note: when you are dividing by a negative number, the direction of the sign switches.

a > -4

:)

Answer:

nasaan ung question ha how

Answer:

14 % discount

Step-by-step explanation:

Item she wants to buy is priced at $39

After the discount, and before tax, the price is $33.54.

39.00 x .14 = 5.46

39.00 - 5.46 = $33.54

Answer:

16.13

Step-by-step explanation:

Answer:

  68. (-1, 0)

  69. (0, 2)

  70. (2, -1)

Step-by-step explanation:

The solution is the ordered pair (x, y) where the lines intersect. The graphs have no scale, so we must assume 1 grid space corresponds to 1 unit.

The first coordinate of the pair is the horizontal distance from the y-axis. Positive is to the right. The second coordinate of the pair is the vertical distance from the x-axis. Positive is up.

68. The point of intersection is 2 left of the origin on the x-axis. x=-2, y = 0.

  (x, y) = (-2, 0)

__

69. The point of intersection is 2 up from the origin on the y-axis: y = 2, x = 0.

  (x, y) = (0, 2)

__

70. The point of intersection is 2 right and 1 down from the origin: x = 2, y = -1.

  (x, y) = (2, -1)

_____

It is a good idea to learn to read the coordinates of a point from a graph. You will be doing it a lot in your math courses.

Answer:

7/8>3/8>1/4

Step-by-step explanation:

because 7/8=0.875

3/8=0.375

1/4=0.25

Answer:

Y = x - 20

X = y + 20

Step-by-step explanation:

Please vote as brainliest!

Answer:

72

Step-by-step Explanation:

28 -20=8

35-27=7

8+7=15

50-35=15

15+7=22

50+22=72

Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.

Step-by-step explanation:

Hi there!

The answer is 2

If you divide 20 by 10, you will get 2 (it's a fact)

Hope it helps

~Just a joyous teen

#CarryOnLearning

Answered by

[tex]-SilentNature-[/tex]