Suppose that a population begins at a size of 100 and grows continuously at a rate of 200% per year. Give the formula for calculating the size of that population after t years. Question 3 options: A) A = 100 + 2et B) A = 100 + te2 C) A = 100e2t D) A = 100 + e2t

Answers

Answer 1

Answer:

100 (+1) x 2^t     = 100 (+2et) as we plus and we multiply before squaring the years.

Step-by-step explanation:

You cna now work this out as +1 represents the 100% + 200% sum.

Answer 2

Answer:

C) [tex] A = 100e^{2t} [/tex]

Step-by-step explanation:

Continuous growth:

[tex] A = Pe^{rt} [/tex]

r = rate as a decimal

r = 200% = 2

P = initial value = 100

[tex] A = 100e^{2t} [/tex]


Related Questions

20 POINTS !!! Write 5 true statements for this picture and then After those 5 statements add a becuase and tell why is it true

Answers

MHL is an obtuse angle, 160>90

HPK is an acute angle, 20<90

LHK is an acute angle, it looks smaller than 90

MHJ is an acute angle, it looks smaller than 90

JL intersects MK

Kelli wants to buy one pound of blueberries and several pounds of grapes. She has $15 to spend. Write an inequality to represent this situation. Then solve the inequality and graph the solutions. What do the solutions represent in the context of the problem?

Answers

Step-by-step explanation:

daddy want some more dior

Here is a number machine. Write down an expression for the output if the imput is n. input=n) (+2) (x3) (output=?

Answers

Answer:

3n+6

Hope this helps you

Answer:

3n+6

Step-by-step explanation:

Please help me solve this puzzle.

Answers

Step-by-step explanation:

marmiad=10

trident=6

pearls =4

10+6×4

=16×4

=64

hey!!

Answer:34

Step by step explanation:

4+4+4=12

4+4+10=18

6+10+10=26

10+6*4=34

hope it helps..

Sydney bikes 32 miles in 2 hours and 64 miles in 4 hours. He bikes at a constant rate. Which function gives the distance d that he travels in t hours?

A. d= 64 t
B. d= 32 t
C. d= 16 t
D. d = 8 t

Answers

Answer:

C. d = 16t

Step-by-step explanation:

Since she is biking at a constant rate, then you would just have to divide 32 by 2 to get 16, which would be the speed Sydney would ride in the matter of one hour. So for how many hours she bikes, multiplied by 16, would be the distance that she travels in said time.

Colton is painting a set of figurines a solid color. It takes him 15 minutes and 5 milliliters of paint to finish a small figurine. It takes him 30 minutes and 8 milliliters of paint to complete a large figurine. Colton plans to paint for at least 360 minutes, and he can use a maximum of 100 milliliters of paint.

This graph and system of inequalities represent this situation, where x represents the number of completed small figurines and y represents the number of completed large figurines.

15x + 30 ≥ 360
5x + 8y ≤ 100



Which solution is valid within the context of the situation?

A.
(4,10)
B.
(-2,13)
C.
(1,11.75)
D.
(6,9)

Answers

Answer:

A

Step-by-step explanation:

B,C,D are not in the pink/purplish area when you plot them on the graph

Brainliest plz

Dear some moderators,

read before you delete no brainers!

From, a brainly user

Answer:

A. (4,10)

Step-by-step explanation:

Help Plz
A small bar of gold measures 20 mm by 100 mm by 2 mm. One cubic millimeter of gold weighs about 0.0005 ounces. Find the volume in cubic millimeters and the weight in ounces of this small bar of gold.


The volume of the bar is ___ cubic millimeters and the weight of the bar is ___ ounce(s).

Answers

Answer:

volume=1,000 cubic millimeters

weight=1 ounce

Step-by-step explanation:

40x25x2=1,000

volume=1,000 cubic millimeters

1,000x0.0005=1

weight=1 ounce

Answer:

Volume = 1000 cubic millimeters

weight = 1 ounce

Step-by-step explanation:

40 x 25 x 2 = 1000

volume= 1000 cubic millimeters

1000 x 0.0005 = 1

weight = 1 ounce

hope it works out !!

brainliest please !!

Please help. 10 points and brainliest

Answers

Answer: C

Step-by-step explanation:

Since you are multiplying the two scientific notations, you would multiply 8.1 and 2.2. After, you would multiply the 10³ and 10^6. When you multiply 2 exponents with the same base, you add the exponents. Therefore, C is your correct answer.

Answer:

(8.1*2.2)*10^3+6

Step-by-step explanation:

The equation = 1.782*10^10=17820000000

The top equation = 10.3*1001000

The second equation = 17.82*10^18=17820000000000000000

The third equation = 17.82* 1000000000= 17820000000

 

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Answer:

A

Step-by-step explanation:

Since the shape of both graphs is the parent parabola form, and g(x) is just shifted up 2 instead of 5, its equation is [tex]2-x^2[/tex], or answer choice A. Hope this helps!

The slope of the fuction on the left is multiplied by p, and q is added to the y intercept to arrive at the function on the right. Which of the following are the values for p and q?

A. p=1/4 and q=3

B.p=1/4 and q=5

C.p=1/4 and q=4

D.p=4 and q=4​

Answers

Answer:

C. 1/4 and q=4.

Step-by-step explanation:

I just got it correct on my test.

p=1/4 and q=4 which is correct option(c)

What is slope of line?

Slope of line is defined as the angle of line.

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is -3

So the equation is;

y = mx -3

The x-intercept is 3/4

the value of y at the x-intercept is 0

0 = 3/4m -3

3/4m =3

m = 4

so, 4 × p

4p

q added to y-intercept;

q -3

Let us get the equation of the second plot

y-intercept is 1

Equation is;

y = mx +1

We can get slope using x-intercept

x-intercept is -1

0 = -1m +1

m = 1

So;

4p = 1

p = 1/4

For the value of q;

q -3 = 1

q = 1+3 = 4

Hence, p=1/4 and q=4

Learn more about Slope of Line here:

brainly.com/question/14511992

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what is the standard form of 7+3i/2-5i

Answers

Answer:

-1/29+41/29*i

Step-by-step explanation:

(7+3i)/(2-5i)=(7+3i)(2+5i)/(2-5i)(2+5i)=(14+35i+6i+15i^2)/(4-25i^2)=

(14+41i-15)/(4+25)=(-1+41i)/29=-1/29+41/29*i

Za and Zb are complementary angles. Za measures 22º.
What is the measure of Zb?

Answers

Answer:

b = 68

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

22+b = 90

Subtract 22 from each side

b = 90-22

b = 68

Answer:

68 degrees

Step-by-step explanation:

Complementary Angles: The sum of the angles is 90 degrees.

If angle a is 22 degrees, then...

a + b = 90

22 + b = 90

22 - 22 + b = 90 - 22

b = 68

That means that the measure of angle b is 68 degrees.

I hope this helps! Have a great day!

find the slope of the line that passses thruogh 7.7 and 2,1

Answers

Answer:

6/5

Step-by-step explanation:

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

m=(1-7)/(2-7)

m=-6/-5

m=6/5

A student at a university makes money by buying and selling used cars. Charles bought a used car and later sold it for a 20​% profit. If he sold it for ​$4560​, how much did Charles pay for the​ car? Charles paid ​$? for the car.

Answers

Answer:

He paid $3648

Step-by-step explanation:

If you subtract 20% from 4560 which he sold it for you will get how much he paid for it.

4560 - 20% = $3648

I will give the brainliest answer

Answers

Answer:

82units²

Step-by-step explanation:

=2(3*7)+2(3*2)+2(7*2)

=82 units²

Answer:

[tex]82 {units}^{2} [/tex]

Step-by-step

explanation

explanation is attached to the picture

hope this helps

brainliest appreciated

good luck! have a nice day!

3(c+2)=36 what is c=?

Answers

Answer:

3(c + 2) = 36

c + 2 = 12

c = 10

Answer:

10

Step-by-step explanation:

3(c+2)=36

- Use distributive property

3c+6=36

- subtract 6 from both sides

3c=30

- divide by 3

c = 10

HELLO PLEASE HELO ME.

Answers

Answer:

the answer is 33

Step-by-step explanation:90 - 57=33

Answer:

33 degrees

Step-by-step explanation:

90-57=33

write a^4*a^2 without exponents

Answers

Answer:

a x a x a x a x a x a

Step-by-step explanation:

a^4 x a^2

a x a x a x a times a x a

= a^6 or a x a x a x a x a x a

Axaxaxaxaxaxaxaxaxaxax

please be neat when answering

Answers

Answer:

In fig. 9, angle Y = angle 110° (vertically opposite angles )

Angle x = angle z = 180 - 110 = 70° (angles on a straight line)

In fig 10, angle y = 78°

Angle x = angle z = 180-78 = 102°

In fig 11, angle x = 83°

Angle y = angle z = 180-83 = 97°

In fig 12, angle y = 37°

Angle x = angle z = 180-37 = 143°


Y=4x + 6
Y = 6x - 12

Solve the systems of equation by substitution

Answers

Answer:

x=9, y=42

Step-by-step explanation:

y=4x+6

y=6x-12

Substitute the second equation into the first:

6x-12=4x+6

Subtract 4x from both sides:

2x-12=6

Add 12 to both sides:

2x=18

Divide both sides by 2:

x=9

Plug this back into one of the equations to find y:

y=4(9)+6=36+6=42

Hope this helps!

This mapping represents a function named f .

Which of the chices also represents the function, f?​

Answers

Answer:

Last option (the drawn)

Step-by-step explanation:

The following points correspond to f:

(3, -2), (9, 2)

The slope of the line (m) is:

m = (2 - (-2))/(9 - 3) = 4/6 = 2/3

Therefore, the first option is incorrect (its slope is 3/2).

To find the y-intercept (b) of the line, we replace a known point and the slope into the general equation:

y = mx + b

2 = 2/3(9) + b

b = 2 - 6

b = -4

Therefore, the third option is incorrect (it add 4 instead of subtracting 4).

Replacing x = 6 into the equation we get:

y = 2/3(6) - 4

y = 0

then, point (6, 0) belongs to the line. Therefore, the second option is incorrect (it has the point (6, 1) instead); and the fourth option is correct (it is a line that includes points (0, -4) and (6, 0)).

Answer: the 4th answer is correct

HELP ME ASAP IT IS DUE TODAY!!!!!!!! WHOEVER ANSWER THIS WILL BE REWARDED

Answers

Answer:

Large Pizza

Step-by-step explanation:

Rewarded with what? :P

Anyway,

The area of a circle is pi*r^2. Additionally, the radius is half the diameter.

The first pizza(s) have diameter 12, which means they have radius 6. The area of one is 6*6*pi=36pi, and since there are two we multiply by 2 to get 72pi.

The second pizza has diameter 18, so radius 9. The area of it is 9*9*pi=81pi.

Clearly 72pi is less than 81pi, so the Large Pizza is biggest.

Hope that helped,

-sirswagger21

(oh yeah and btw give me a million bucks for the reward ty :v)

URGENT!!! HELP

Gina has purchased 100 songs from the internet. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:

(Graph attached below)

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)

Part B: Write an equation in slope-intercept form to model the relationship between x and y. (4 points)

Answers

Answer:

Initial value is 100

Step-by-step explanation:

A) rate of change would be dividing the number of songs wanted (100) by the number of weeks downloading (5)

100/5 = 20

 since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -20

Initial value is 100, which is the total number of songs they want

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

y = -20x + 100

pls help (mathematics)

Answers

Answer:

Answer is C.

Step-by-step explanation:

When radius is 1, the volume is 4. When radius is 2, it's 32. Which means It becomes 8 times bigger because 32 divided by 4 (32/4) is 8.

Answer:

its not D and its not  A or B so the answer would be C...

Step-by-step explanation:

Can the two triangles be proven congruent by SAS? Explain. answers: A) Yes. The shared side, image, provides enough information for SAS. B) No. There's only enough information provided for ASA. C) Yes. Angle B and angle D can be assumed to be right angles. D) No. The shared side, image, would provide enough information for SSA, but this is not a congruence theorem.

Answers

Answer:

A) Yes. The shared side, image, provides enough information for SAS.

Step-by-step explanation:

There are 30 dogs at the park. 56 of the dogs are large.

Which method is a way to find the number of large dogs at the park?

Answers

Answer:

30-56

Step-by-step explanation:

It would be to Multiply 30 and [tex]\frac{1}{6}[/tex].

Whats the radius of this?

Answers

Answer:

Its trying to trick you, you dont need any fancy shmancy formula. If you see the 8 its trying to make you think of a formula but if there is a formula and you get it wrong then you get it wrong. Its easy the 8 is there but a circle has a radius no matter where you measure it. 8/2 = 4. Radius is 4 Diameter is 8

Think outside the box 4 is radius 8 is diamater

8-2x<4 solve inequality

Answers

Answer:

x > 2

x ∈ ( +2 ; + oo )

Step-by-step explanation:

8 - 2x < 4

8 - 4  < 2x

4 < 2x | : 2

2 < x

x > 2

x ∈ ( +2 ; + oo )

Work this out for meee

Answers

Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²

Which expression gives the length of the transverse axis of the hyperbola
shown below?

Answers

Answer:x-y

Explanation:

Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.

As definition of hyperbola:

Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.

So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a

x-y=2a

Length of transverse axis is x-y.

hope it helps....

Good luck on your assignment

The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

What is hyperbola?

It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.

We have given a hyperbola shown in the picture.

The green line indicates the transverse axis of the hyperbola.

As we know,

The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.

Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.

x-y=2a

The length of the transverse axis =  x - y

Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.

Learn more about the hyperbola here:

brainly.com/question/12919612

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