The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
First, complete the equation:
?
=
Future Amount = 16 (1 + 0.09)


time
initial amount
periods
growth rate

The Population Of Insects In An Experiment Hasbeen Increasing By 9% Each Week. If There Were 16insects

Answers

Answer 1

Answer:

8

Note: I got it right on the same test you took as me.

Answer 2

The value of time period for the equation is 8.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The population of insects is increasing by 9% each week = 0.09

At the beginning of the experiment, number of insects = 16

Number of insects increased per week

⇒ [tex]16+16(0.09)[/tex]

Let the time period be x.

Number of insects increased after 8 weeks can be found by the equation,

[tex]Future Amount = 16 (1 + 0.09)^{x}[/tex]

⇒ [tex]Future Amount = 16 (1 + 0.09)^{8}[/tex]

Hence we can conclude that the value of time period for the equation is 8.

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Related Questions

Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1

Answers

Answer:

C. 2x^2 + 3x - 1

is the answer

slope of (-3,5) (3,6)

Answers

slope formula is y2–y1/x2-x1, so the slope is 1/6

Answer:

The slope is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

What's the perimeter?

Answers

Answer:

the line crossing the trapezoid, the one that helps you find the S. In this case the perimeter is 4 (;

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

perimenopause is inside just count the inside of the trapezoid

hope this helps

ose baked 36 cookies. He wants to share them equally among 16 people. How many cookies will each person get?

Draw a line segment to connect the two whole numbers that the answer lies between.

Answers

Toes and French fire mmm it’s bussin

HELP PLEASE! What is the slope of the line shown?

Answers

Answer:

A. -4/11

Step-by-step explanation:

Slope formula: [tex]\frac{y^2 - y^1}{x^2 - x^1 }[/tex]

Using the two points substitute the coordinates into this formula

6-2 = 4

4 - 7 = -11

Put 4 over -11 because it is the y value

[tex]-\frac{4}{11}[/tex]

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.

Answers

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

Pyramid A

[tex]s = 4[/tex] -- base sides

[tex]V = 36[/tex] -- Volume

Pyramid B

[tex]s = 6[/tex] --- base sides

Required

Determine the volume of pyramid B [Missing from the question]

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

[tex]V = \frac{1}{3} * B * h[/tex]

Where B represents the area of the base equilateral triangle, and it is calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]

[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 4\sqrt 3[/tex]

The height is calculated from:

[tex]V = \frac{1}{3} * B * h[/tex]

This gives:

[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]

Make h the subject

[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]

[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]

[tex]h = \frac{27}{\sqrt 3}[/tex]

To calculate the volume of pyramid B, we make use of:

[tex]V = \frac{1}{3} * B * h[/tex]

Since the heights of both pyramids are the same, we can make use of:

[tex]h = \frac{27}{\sqrt 3}[/tex]

The base area B, is then calculated as:

[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]

Where

[tex]s = 6[/tex]

So:

[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]

[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]

[tex]B = 9\sqrt 3[/tex]

So:

[tex]V = \frac{1}{3} * B * h[/tex]

Where

[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]

[tex]V = \frac{1}{3} * 9 * 27[/tex]

[tex]V = 81[/tex]

Answer:

81

Step-by-step explanation:


What is the equation of the line?

Answers

Answer: x = -9

Step-by-step explanation:

When you look at the line, you can see it's plotted on the x-axis. From there you know the solution will be equal to x. Since the line passes right through the number -9 on the x-axis line, the answer would be x = -9. The line is straight which means it has no y intercept which is why x is only equal to -9.

can any one help me i do not get it

Answers

Answer:

x=30

Step-by-step explanation:

The figure on the right has 12 in. on one side and 10 on the other and the figure on the left is 3 times the number that the figure on the left has. When you multiply 3 and 12 you get 36. From there on you can infer that you multiply 10 by 3. Your solution to x is 30.

Answer: 30

Step-by-step explanation:

36/3=12, 30/3=10

Find the area of a circle with a diameter of 4. How do you find they area of a circle?

Answers

Answer:

The number pie

Step-by-step explanation:

Area of a circle

Find the area of a circle with a diameter of 4. How do you find they area of a circle?

To find the area of a circle use the formula [tex]\large\tt A=\pi r^2[/tex] or [tex] \large\tt A=\pi \times r \times r[/tex]

Where π = 3.14 correct to 2 decimal places, r = radius, and d = diameter. The radius is half of the diameter.

[tex]\tt A=\pi r^2[/tex][tex]\tt A=3.14\times 2^2[/tex][tex]\tt A =3.14\times 4[/tex][tex]\tt A={12.56units^2}[/tex]

Therefore, the area of a circle is 12.56 sq. units

#CarryOnLearning

Kelsha is putting money into a savings account. She starts with $750 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Keisha has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the savings account after 14 weeks.​

Answers

Answer:

s=750+30W, after 14 weeks she has 1170$

Step-by-step explanation:

Answer:

750+30w=s     750+(30*14)=1,170

Step-by-step explanation:

i think this is it

-x + 3y = -12 in slope intercept form. please show step by step. thanks :)

Answers

Answer:

y=x/3 - 4

Step-by-step explanation:

add x to get x to the other side

3y= x-12

divide by 3 on both sides to get y by itself y= x/3 - 4 is simplest form

Answer:

slope intercept form is y=mx+b

add x to both sides : 3y=x-12

divide by 3 on both sides : y=(1/3)x-4

nnnd i put both equations in desmos n they r the same :)

In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?​

Answers

Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.

Leila made $70 for 5 hours of work.
At the same rate, how much would she make for 8 hours of work?

Answers

Answer:

112$

Step-by-step explanation:

First, find out how much she makes per hour:

70$ in 5 hours. Divide 70 by 5.

70/5 = 14

If she makes 14$ per hour, the equation to find 8 hours is 14*8

14*8 = 112

$112
it’s just simple math :)

What is the area of the polygon below?

Answers

Answer:

65 units²

Step-by-step explanation:

The polygon is the combination of two rectangles.

Sides of the greater rectangle:

3 - (-8) = 11 and-2 - (-7) = 5

Sides of the smaller rectangle:

0 - (-5) = 5 and-7 - (-9) = 2

Area of the polygon:

11*5 + 5*2 = 65 units²

Need help ASAP no fake links!!! Find the measure of angle C, and find the measure of Arc BC

Answers

Answer:

[tex]\huge \purple {\boxed { m\angle C = 47\degree}} [/tex]

[tex] \huge \red {\boxed { \widehat{BC}=96\degree}} [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle C = \frac{1}{2} m(\widehat{AD}) [/tex]

[tex] \therefore m\angle C = \frac{1}{2}\times 94\degree [/tex]

[tex]\huge \purple {\boxed {\therefore m\angle C = 47\degree}} [/tex]

Again by inscribed angle theorem:

[tex] m\angle A = \frac{1}{2} m(\widehat{BC}) [/tex]

[tex] \therefore 48\degree = \frac{1}{2} m(\widehat{BC}) [/tex]

[tex] \therefore 48\degree\times 2 = m(\widehat{BC}) [/tex]

[tex] \huge \red {\boxed {\therefore m(\widehat{BC}) =96\degree}} [/tex]

I need help I'm confused!

Answers

Answer:

160 and 70

Step-by-step explanation:

Please help due in 5 min

Answers

Answer:

nobody can see the question(s)

Solve the equation above for x

Answers

Answer:

2/3x=1-2

X=-1*3/2

X=-3/2

So is - 3/2

I need help im doing IXL right now (BB.3 Complete a function table: quadratic functions)
i just need help with this final question (posted with a picture)

Answers

Answer:

0, 2, 4

Step-by-step explanation:-2 + 2 = 0 + 2= 2 + 2 = 4

The function table is solved and the quadratic equation is f ( x ) = -3x²

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

f ( x ) = -3x²

when x = -2

f ( -2 ) = -3 ( -2 )²

f ( -2 ) = -12

And , when x = 0

f ( 0 ) = 0

when x = 2

f ( 2 ) = -12

when x = 4

f ( 4 ) = -48

Hence , the function table is f ( x ) = { -12 , 0 , -12 , -48 }

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A sculpture at a park is in the shape of a rectangular pyramid. What is the volume of the sculpture if the length and width of the base of the pyramid are 11 feet and 5 feet respectively, while the height of the pyramid is 6 feet? ​

Answers

Answer:

40

Step-by-step explanation:

11x6=60

60-5x4= 20

=40

Pls help !!!!!!!!!!!!

Answers

Answer:

x = 100°

Step-by-step explanation:

15° + 65° + x = 180°

80° + x = 180°

x = 100°

PLZ HELP!!!!!!! AND NO LINKS

Answers

Answer:

A

Step-by-step explanation:

Acids turn litmus paper red. The characters of acids are given by substance A. An acid tastes sour and also conducts electricity well because of ionization properties. Additionally, Hydrogen gas is produced from acid-base neutralizations because most if not all acids contain hydrogen.

Can you find the missing measure

Answers

Answer:

for which one

Step-by-step explanation:

A spinner is divided into 12 equal sections numbered 1-12. What is the probability of landing on a section with a number that is less than 5?

Answers

Answer:

4/12

Step-by-step explanation:

There is a 1 in 12 chance of any number being spun on the wheel. Because there are 4 numbers less than 5, there is a 4 in 12 chance of one of those numbers being spun.

DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9

Answers

Answer: The answer is b !

Image attached should help

The line of best fit is:

y = 3.1x + 12.9

Option A is the correct answer.

We have,

The line of best fit can be expressed in the form of y = ax + b,

where a is the slope of the line and b is the y-intercept.

From the given LinReg results, we have:

a = 3.1

b = 12.9

Substituting a and b in the equation y = ax + b we get,

The line of best fit is:

y = 3.1x + 12.9

Thus,

The line of best fit is:

y = 3.1x + 12.9

Learn more about the line of best fit here:

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Car Survey: In a survey of 2,400 people who owned a certain type of​ car, 1,680 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

70 percent

Step-by-step explanation:

LINKS WILL BE REPORTED ALONG WITH NONSENSE ANSWERS THANK YOU
Please help me with this, I understand how to do the first equation but not the second (the one where it says he sold more accessories than phone commissions) Brainliest will be given!

Answers

what's ur ig bestie? it's making me write it longer so hihihi

What is the probability of rolling a 3 or 4 on a six sided die?​

Answers

Answer:

2/6

Step-by-step explanation:

if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4

Pls help :( (will get reported if link)

Answers

Answer:

Step-by-step explanation:

please help, dont answer if you dont know

Answers

Answer:

Step-by-step explanation:

A. 1/3

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