Which equation relates the population (P) in millions to the time that has passed (T) if the growth rate is 4% per year and the starting
population is 10 million people?
(1) P = 10(0.96)^T
(2) P = 10(1.04)^T
(3) P = 10 + 10(0.04)^T
(4) P = 10(1.4)^T

Answers

Answer 1

Answer:

Step-by-step explanation:

The model for exponential growth/decay is

[tex]P(t)=a(b)^t[/tex] where a is the initial population and b is the growth/decay rate. Filling in the info you were given:

[tex]P(t)=10(1.04)^t[/tex]

Because this is a growth rate, we have 100% of the population and that population is growing by 4%, which is .04 in decimal form. If the population is not declining, we are adding to the 100% of the population we already have. That's why the growth rate is 1.04.

.96 means that the population is declining at 4% each year; and 1.4 means that the population is growing at 140% instead of the 104% that it is.


Related Questions

**URGENT PLEASE HELP**
Find g(x), where g(x) is the translation 2 units right and 13 units down of f(x) = -2x + 5.​

Answers

Answer:

g(x)=x+9

Step-by-step explanation:

When translating a graph, adding the number of units shifts the graph to the left and subtracting the number of units shifts it to the right. Since you need the graph translated 9 units to the left, you will need to add that many units to x

therefore, g(x)=x+9

Answer:

g(x)=x-8

Step-by-step explanation:

-2+2 = 0, so g(x) = x

5-13 = -8

solve for x. Round to the nearesr tenth of a degree if necessary.

Answers

Answer:

im not sure but i got 30.1

Step-by-step explanation:

[tex] \cos(x) = \frac{45}{52} \\ x = 30.1[/tex]

Which of the following statements is false?

Answers

Answer:

option D is false it's not parallelogram

Unit Rates
Assignment Active
Completing a Rate Table
Miles
Hours
Margie can walk 3.5 miles in 1 hour.
Find the values of a, b, c, and that complete the table
showing this relationship
3.5
a=
7
v
a
5
3
d=
14
e
5

Answers

Answer:

its c

Step-by-step explanation:

i did it on ed

Answer:

Heres the answer!

Step-by-step explanation:

Help if you know thanks

Answers

x= - 1/2,-1

or

x= - 0.5, -1

Answer:

x = -1/2  x=-1

Step-by-step explanation:

2x( x+1.5) = -1

Distribute

2x^2 + 3x = -1

Add 1 to each side

2x^2 +3x+1 = 0

Factor

(2x+1) (x+1) =0

Using the zero product property

2x+1 = 0   x+1=0

2x = -1    x=-1

x = -1/2  x=-1

A model of the Saturn V rocket has a scale of 1 inch = 12 feet. If the model rocket is 30 inches tall, how tall was the actual Saturn V rocket

Answers

Answer:

360 feets

Step-by-step explanation:

Given :

Scale : 1 inch = 12 feets

This means 1 inch on paper (model) represents 12 feets in real life

If the model height = 30 inches ;

The actual height of the Saturn V rocket will be :

1 inch = 12 feets

30 inch = x

x = (30 * 12)

x = 360 feets

Actual height = 360 feets

What is the expected value?

Answers

Answer:

2.1

Step-by-step explanation:

The expected value of a probability is given by the formula:

E(x) = Σxp(x)

Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:

E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)

E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1

Hence we can conclude that the expected value of the winnings of the game is 2.1.

If someone could help that would really be great. Thank you.!

Answers

x=45 degrees
the angles should add up to 180 degrees in a triangle, so if you do 180-105-30, you end up with 45 (hope that helps)

rule. L1
b)
I
R = (24, 28)
S = (4, 20)
Q = (28, 12)
P = 8,4)
R' = (36, 4)
S = (16,-4)
*Q' = (40, -12)
P' = (20, -20)
Determine the transformation rule for the translation
from PQRS to P'QʻR'S'

Answers

Answer:

(x+12, y-24)

Step-by-step explanation:

The rule is (x, y) -> (x+12, y-24)

Write the equation in standard form then factor the left side of the equation. 2x^2=28-x

Answers

Answer:

Step-by-step explanation:

Standard for is 5x=28. Factoring gives you x=28/5

1 point Write the equation of the line that is parallel to the line given and through the given point. Do not use spaces in your equation y=-x-3 (-3,4)​

Answers

Answer:

y=3x+9......(i)

y=-4x-12...(ii)

these are the equation

what is the diameter of the circle shown?

Answers

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

[tex]a^2+b^2=c^2\\36+36 = c^2\\72=c^2\\c = 6\sqrt{2}[/tex]

Answer:

[tex]6\sqrt{2}[/tex] in

Step-by-step explanation:

this triangle is a right isosceles triangle. this means it is also a 45- 45- 90 triangle.

there is a special relation between the sides of a 45 45 90 triangle :

if the legs are 'x' then the hypotenuse is  '[tex]x\sqrt{2}[/tex]'

so in this case, the legs are 6 in. the hypotenuse (or diameter of the circle) is

[tex]6\sqrt{2}[/tex]

pls help. what is a reasonable range for this function? explain your answer. thank you:))

Answers

from 0 to 20

neither the seconds nor the height are likely to be negative.

Please help out explanation need it

Answers

Answer:

SinA= BC/AC=20/55

SinA=4/11

A=Sin^-1(4/11)

A=Sin^-1(0.36)

LA=21.1 ← ans

OAmalOHopeO

guys this is going to be the death of me

Answers

Answer:

mine too

Step-by-step explanation:

What is the distance in units between the points (4, -7) and (1, -7)?

Answers

I think it’s 3 I used a calculator online not sure if it’s right.

Step-by-step explanation:

To evaluate such, the following formula is required:

Distance Formula: d(P, Q) = √ (x2 − x1)^2 + (y2 − y1)^2

Denote the following points as the following,

(4, -7). (1, -7)

X1 Y1. X2. Y2

D(P, Q) = √(1 - 4)^2 + (-7 + 7)^2. <== Since there is a double negative, such will be considered addition.

√(-3)^2 + (0)^2

√9 = 3

Thus, the agglomerate distance of such points on the Cartesian plane is disclosed as 3 units.

How do I find x ………..

Answers

Answer:

x = 94

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Sum the 4 angles and equate to 360

x + x + 2x - 75 + x - 35 = 360

5x - 110 = 360 ( add 110 to both sides )

5x = 470 ( divide both sides by 5 )

x = 94

ASAP!! can i get help on this one and can i please get a vivid explanation thank you.

Answers

Answer:

3x + 11

Step-by-step explanation:

1) Remove Parentheses:

x + 4 + 2x + 7

2) Combine Like Terms:

(2x + x) and (4 + 7)

3) Simplify:

3x + 11

Hope this helps, good luck! Have a good day. :)

A game involves rolling a number cube. You get one point if you roll an even number and negative one point if you roll an odd number.

A 7-column table has 3 labeled rows. The first row is labeled Roll with entries 1, 2, 3, 4, 5, 6. The second row is labeled Probability with entries one-sixth, one-sixth, one-sixth, one-sixth, one-sixth, one-sixth. The third row is labeled Point(s) with entries negative 1, 1, negative 1, 1, negative 1, 1.

Which statements are true regarding this scenario? Check all that apply.

The sample space is {1, 2, 3, 4, 5, 6}.
The expected value for the game is 0.
The expected value for the game is One-half.
The game is fair because the expected value is equal to 0.
The game is unfair because the expected value does not equal 0.

Answers

Answer:

A. B. D.

Step-by-step explanation:

There are 6 possible values to roll. Since 3 values are even and 3 values are odd, the game should be 0.

Answer:

A, B, D

Step-by-step explanation:

EDG 2021

Brainliest?

please I need help here​

Answers

Answer:

90 degrees

Step-by-step explanation:

The sum of interior angles of every triangle is 180 degrees

Luckily 90 degrees has already been represented on the triangle

SOLUTION

x+90°=180°

x=180°-90°

x= 90°

Therefore, the answer is 90°

Which of the following numbers are solutions of the sentence x-3 < 2?
I -3
II 0
III 2
IV 5

O ll only
O III only
O I and III only
O I, II, and III only
O I, II, III, and IV​

Answers

Answer:

O I, II, and III only

Step-by-step explanation:

x-3 < 2

Add 3 to each side

x-3+3< 2+5

x<5

-3 is less than 5

0 is less than 5

2 is less than 5

5 is not less than 5

I , II , II are true

A set of composite number less than 12.Express it in listing and set-builder methods

Answers

composite numbers less than 12={1,3,4,6,8,9,10}

Simplify the following, leaving your answer with a positive exponent:
x^-12/ x^-7

Answers

Answer:

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

Step-by-step explanation:

x^-12/ x^-7

= x^(-12-(-7))

= x^-5

= 1/x^5

sin(2x-pi/2)=sin pi/3

Answers

This is the answer for your question!

Eve got home from school at 2:20 P.M. And played video games for 17 minutes. Then she helped clean the kitchen for 1 hour and 1 minute and spent 1 hour and 7 minutes finishing her homework. What time was it when Eve finished her homework?

Answers

Answer:

4 :45 pm

Step-by-step explanation:

2 : 20 + 17 minutes = 2:37

2:37 + 1hr 1 minute  = 3 : 38

3 : 38 + 1 hr 7 = 4 :45 pm

Find the real or imaginary solutions by factoring.
X^4 -3x^2 = -2x^2

Answers

Look in the images it is solved.

Out of 120 students in exam, 2/3 of them passed. How many students passed?​

Answers

Out of 120 students in exam, 2/3 of them passed. How many students passed?

now,

no of students passed = 2/3×120

= 0.66×120

=80...

therefore 80 students were passed....

Answer:

80

Step-by-step explanation:

the perimeter of the shape is

Answers

Answer:

94 cm.

Step-by-step explanation:

Perimeter = 25 + 2(10) + + 2(12) + 25

= 50 + 20 + 24

= 94 cm.

Find g(5)+h(2)
g(x)=2x-5
h(x)=4x+5

Answers

Step-by-step explanation:

g(5)=2(5)-5=5

h(2)=4(2)+5=13

g(5)+h(2)=5+13=18

La señora Angélica fue al mercado y compró 2 visores protectores y 1 mascarilla, pagó $55.00, en total. En el mismo puesto, la señora Silvia compró 1 visor protector y 2 mascarillas y pagó $50.00. ¿Cuál es el precio de una mascarilla? ¿Cuáles el precio de un visor protector?

Answers

Answer:

Cost of 1 goggles = $20

Cost of 1 mask = 15

Step-by-step explanation:

Given:

Cost of 2 goggles and 1 mask = $55

Cost of 1 goggles and 2 mask = $50

Find:

Cost of each goggles and mask

Computation:

Assume;

Cost of 1 goggles = a

Cost of 1 mask = b

So,

2a + b = 55.....EQ1

a + 2b = 50.......EQ2

EQ1 x 2

4a + 2b = 110 ......EQ3

EQ3 - EQ2

3a = 60

a = 20

Cost of 1 goggles = $20

a + 2a = 50

20 + 2b = 50

2b = 30

b = 15

Cost of 1 mask = 15

.

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