A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years will it take of the population to reach 150% of its current size according to the exponential growth function?

Answer:

of what exactly and thanks for the points

Answer:

So....

Step-by-step explanation:

can you complete your answer please?

Answer:

x = 8, y = 4

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , thus

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

x × [tex]\sqrt{3}[/tex] = 8[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 8

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

To find y use the tangent ratio in the right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex] , thus

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{4\sqrt{3} }{y}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by y )

4[tex]\sqrt{3}[/tex] = y × [tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 4

Answer:

-5/4

Step-by-step explanation:

y=mx+b

m= slope

b= y-intercept

m= -5/4

Answer:

No hablo espanol.

puedes escribir en ingles

Step-by-step explanation:

Answer:

16 i think

Step-by-step explanation:

Answer:

17=39.5in^2   18= 483.6yd^2

Step-by-step explanation:

I just used google calculator tbh

Answer:

1/2 o 50%

Step-by-step explanation:

debemos partir de la presuncion que un bebe puede ser niño o niña uinicamente, o sea la P(niño) + P(niña) = 1

no existen los bebes que son niños y niñas al mismo tiempo, eso quiere decir que es una opcion o la otra

P(niña) = 1 - P(niño) = 1 - 1/2 = 1/2 = 0.5 = 50%

Answer:

y = (1/2)x - 4

Step-by-step explanation:

every equation has a slope of (1/2)

Then we should only consider the passing through point.

y = (1/2)x - 4

R.H.S : (1/2)x - 4. (substitute x= 2)

= -3

= L.H.S

it is passing through point (2,-3)

The equation of the line is y = (1/2)x - 4.

The correct option is (A).

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

As per the given data:

We are given the slope of the line.

We are also given the point through which the line passes.

Slope of the line = 1/2

Point through which the line passes = (2, -3)

From the slope-intercept form, the equation of any line can be written as:

y = mx + c

where m is slope and c is the y intercept

m = 1/2

y = (1/2)x + c

Line passes through (2, -3)

-3 = (1/2) × 2 + c

c = -4

The equation of the line is y = (1/2)x - 4

Hence, the equation of the line is y = (1/2)x - 4

To learn more about slope, click:

brainly.com/question/3605446

#SPJ7

Answer:

156 jackfruits

Step-by-step explanation:

Let there are 6x jackfruit in baseket P, 2x in basket Q and 5x in basket R.

The total number of jackfruit  in basket P is 48 more than the number of  jackfruit in basket Q. ATQ,

6x = 48 + 2x

Solving for x.

6x - 2x = 48

4x = 48

x = 12

Jackfruits in basket P = 6x = 6(12) = 72

Jackfruits in basket Q = 2x = 2(12) = 24

Jackfruits in basket R = 5x = 5(12) = 60

Total no of jackfruits = 72 + 24 + 60

= 156

So, there are 156 jackfruits in the three baskets.

Answer:

a) 20 yd

b) 10 ft

Step-by-step explanation:

a) 80/4 = 20

b) spare root of 100 = 10

Answer:

107.5

Step-by-step explanation:

Answer:

Answer: The change to the amount of money she has is -$15 because

she has $15 less than she started with

Step-by-step explanation:

Answer:

Bella pays 7 payments of $5 each to a game stores. she returns one game and receive $20 back. what is the change to the amount of money she has ?

Answer: The change to the amount of money she has is -$15 because

she has $15 less than she started with

Step-by-step explanation:

Bella pays 7 payments of $5 each to a game stores. she returns one game and receive $20 back. what is the change to the amount of money she has ?

Answer: The change to the amount of money she has is -$15 because

she has $15 less than she started with

Answer:

- 4

Step-by-step explanation:

B .

-7 -(-3) = -7 + 3

start at -7 and move 3 to the right

difference is -4

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation [tex]\frac{rise}{run}[/tex]. In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.

[tex]\frac{2}{10} = \frac{1}{5}[/tex] simplified.

Answer:

Step 3.

Step-by-step explanation:

Step 3

She  wrote that a4 - 12a3 = -11a.

a4 and 12a3 are unlike terms so they cannot be added.

Answer:

4x^2-9x+3

Step-by-step explanation:

(4x^2 −2x−6)- (7x−9)

=(4x^2-2x-6-7x+9)

=(4x^2-9x+3)

4x^2-9x+3is the answer

Answer:

4x² - 9x + 3

Step-by-step explanation:

(4x² - 2x - 6) - (7x - 9)

4x² - 2x - 6 - 7x + 9

4x² - 2x - 7x - 6 + 9

4x² - 9x + 3

-TheUnknownScientist

Answer:

(y+w)(x+2a)

Step-by-step explanation:

im built different

Answer:

(x+2a)(y+z)

Step-by-step explanation:

x(y+z)+2a(y+z)

(x+2a)(y+z)

Answer:

the correct answer is 5 bags

Answer:

Five bags

Step-by-step explanation:

13.50$ — unit price is 2.25$

10$ — unit price is 2$

Answer:

x < 3

Step-by-step explanation:

Given

4x - 7 < 5 ( add 5 to both sides )

4x < 12 ( divide both sides by 4 )

x < 3

Answer:

t = 7

Step-by-step explanation:

(5t + 6)° + 49° = 90°

5t + 6 + 49 = 90

5t = 90 - 55

t = 7

hello

Step-by-step explanation:

paano nga Ito???

Answer:

=4

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

First we need to find the 25% of £200

200 × 25 ÷ 100 = 50

200 + 50 = 250

Answer:

(0.0)

(1,2.75)

A line that goes through the origin represents a proportional relationship.  Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.

Answer:

(0.0)

(1,2.75)

A line that goes through the origin represents a proportional relationship.  Since the line passes through zero-zero, it means that the relationship between the number of notebooks and the cost is proportional The unit rate is represented by the point one-y. The point one, two and seventy-five hundredths represents the unit rate, which means each notebook costs two dollars and seventy-five cents.

Step-by-step explanation Hi angry pomerian

Answer:

oof good luck tho let me know the answer

Step-by-step explanation:

Answer:

0.5625

Step-by-step explanation:

IT terminates because it doesn't repeat forever.

Answer:

32

Step-by-step explanation:

(n/2) − 10 = 6

Add 10 to both sides.

n/2 = 16

Multiply both sides by 2.

n = 32

Answer:

n=32

Step-by-step explanation:

n/2 - 10=6

add 10 on both side

n/2 +10-10=6+10

n/2=16

multiply both side by 2

n/2×2=16×2

n=32

Answer:x=21 2/3

Step-by-step explanation:

Answer:

x = 3/65

Step-by-step explanation:

3/5=13/x

3/5*1/13 = x

3/65 = x

Answer:

the answer is 7/9

Step-by-step explanation: