A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression to represent the equivalent monthly population increase rate.

Answers

Answer 1

Answer:

Expression: [tex]120(1.3)^{16}[/tex]

Beetles after 16 years: 7984 beetles

Step-by-step explanation:

Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following

A = P (1 + r/n) (nt)

A = the future amount

P = the initial amount

r = the annual increase rate (decimal)

n = the number of times that interest/increase is compounded per unit t

t = the number of years

Using the values in the question the expression for this scenario would be the following

120(1 + (0.30 / 1))^(1*16)

[tex]120(1.3)^{16}[/tex]

7984.99


Related Questions

SOMEONE HELPP PLSS QUICK
In what direction is the line containing the point (3, 3) and (1,3) going?

Answers

Answer:

Horizontal (Braniest pls)

Step-by-step explanation:

Since (3,3) and (1,3) is on the same line, it is moving horizaontally (Braniest pls)

Please answer with explanation

Answers

Answer:

2000 feet.

Step-by-step explanation:

Let the length of fence need be x feet.

Then we have the equation:

2lx = 19x + 4000

21x - 19x = 4000

2x = 4000

x = 2000.

Someone please help I’m begging you

Answers

Answer:

Graphical method

graphical method hope this helps

help me please aaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

-2 = 2 + v/4
-2 - 2 = v/4
-4 = v/4
-4•4 = v
v = -16

Answer:

v=-16

Step-by-step explanation:

-2=2+v/4

(we know that 2+-4=-2 so we can see if that works)

(4*-4=-16)

2+-16/4=-2

(-16/4=-4)

2+-4=-2

WILL MARK BRAINLIEST WHOEVER ANSWERS CORRECTLY

Answers

Answer:

Step-by-step explanation:

Let the relation between the total number of candies (y) and number of bags (x) is,

y = mx + b

Here, b = Extra pieces of candies sitting outside the box.

m = Candies per box

From the question,

x = 4,(Number of bags are 4)

y = 4m + 4

If total number of candies are 36,

36 = 4m + 4

4m = 32

m = 8

Each bag will contain 8 candies.

Therefore, equation representing the relation is,

y = 8x + 4

Now complete the table by substituting the values of x,

    x                 y

    1                 12                    

    2                20

    3                28

    4                36

    5                44

    6                52

    7                60

    8                68

    9                76

   10                84

answer the picture first then answer my second question lot of points
The angle measures in a triangle are 25°, 135°, and 20°. What type of triangle is it?

A. isosceles triangle
B. obtuse triangle
C. right triangle
D. acute triangle

Answers

First is ec. Second is b

Answer:

ec and  obtuse triangle

Mihn invested $1,479.81 last year. What is the place value of the 8 in 1,479.81?

thousands
tens
tenths
thousandths

Answers

It’s the tenths
Hope it’s right
I think the answer is tenth and the reason why is because

Let f(x)=x^3 and g(x)= √x, and h(x)=x/3. Find each of the following: f(g(h(6)))

Answers

Answer:

go from inside out.

h(x)=x/3

[tex](\sqrt{2})^{3}[/tex]=> h(6) = 6/3 = 2

g(x) = [tex]\sqrt{x}[/tex]

=> g(h(6)) = g(2) = [tex]\sqrt{2}[/tex]

f(x) = [tex]x^{3}[/tex]

=> f(g(h(6))) = f([tex]\sqrt{2}[/tex] ) = [tex](\sqrt{2} )^{3}[/tex]

If correct I’ll give brainlist

Answers

the correct option is (1,0)

The radius of a circle is 5 m. Find its circumference in terms of \piπ.

Answers

Answer:  C≈ 31.42m

C=2πr=2·π·5≈31.41593m

Step-by-step explanation: hope this helps

ABCD is a rectangle with BC =63 and AB = 84. Find each measure.

Answers

Answer:

8. 90°

9. 18°

10. 18°

11. 105

What is the value of y in the equation below?
8y = 96

Answers

Answer:

12

Step-by-step explanation:

just divide 96 by 8

Answer:

y=12

Step-by-step explanation:

.......ur welcome.........

96÷8=12

bcs they're 8 y we divide 96 by the no. of y to get y

Y=x^(2)-12x+36
Please explain step by step

Answers

Step-by-step explanation:

♡︎♡︎♡︎♡︎♡︎♡︎♥︎♥︎♡︎♥︎

Ben's living room is a rectangle measuring 12 yards by 192 inches by how many feet does the length od the room exceed the width?

Answers

4 ft
192/12=16
16-12=4

There are 28 girls and 14 boys in the school band. What is the ratio of boys to girls, in lowest terms, in the school band?

Answers

Answer:

2:1

Step-by-step explanation:

I hope it's helped.......

Answer:

Original ratio:

Boys        Girls

14:42       28:42

Lowest terms:

Boys          Girls

1:3             2:3

16x−12−24x+4


Explain your reasoning.

Answers

Answer:

-8x-8

Step-by-step explanation:

Since 16x and -24x have like variables, we can subtract to get -8x.  Then, we can add the constants to get -8.

Step-by-step explanation:

16x-12-24x+4

=16x-24x-12+4

=8x-8

If an official NBA basketball has a circumference of 29.5 inches, what is the approximate volume in cubic inches?

19.66


92.34

321.75

433,63

Answers

Around 433.63 would be the correct answer

Help me please , will mark

Answers

40 percent you were right

What sides are the triangles?

Answers

Answer:

Step-by-step explanation:

From the picture attached,

In ΔABC and ΔGFE,

AC ≅ EG  [Given]

BC ≅ EF [Given]

AB ≅ FG [Given]

By the SSS property of congruence, ΔABC ≅ ΔGFE

The two triangles are related by SSS property of congruence, so the triangles are congruent.

HELP I AM IN A TEST AND SOMEONE DELETED MY OTHER QUESTION BEFORE! AND I STILL NEED HELP PLZ I WILL GIVE BRAINLIEST AND THANKS AND 5 STAR PLZZ!
ALSO, plz show work for number 2 and the rest. Just tryna pass └(^o^)┘

Answers

Answer:

2.

30-7x4 = 2

3.

80

Step-by-step explanation:

2.

First, do 7x4, which equals 28. Then subtract that from 30, and you get 2.

3.

Do the parentheses first, 21-6=15. Then 15 divided by 0.2 = 75. 75+5=80.

Sorry I couldn't help on any of the other ones, I don't have much time.

please help me if you do not know the answer dont answer it​

Answers

Factor 28r^2 + 35ry: 7r(4r+5y)
Factor -4x-5xy: -x(4r + 5y)
= 7r(4r + 5y)-x(4r + 5y)
= (4r + 5y) (7r -x)
Hope this helps, sorry if it’s confusing

Solve the system of equations by substitution. * -8x + 2y = 4 y = 4x + 2 ​

Answers

Answer:

Step-by-step explanation:

-8x + 2y = 4

y = 4x + 2

Put the value of y into the first equation

-8x + 2(4x + 2) = 4                 Remove the brackets

-8x + 8x + 4 = 4                    The 8xs cancel out.

4 = 4                                     But this is useless. There is no single solution

Help I will mark brain list!!!!!

Answers

Answer: I'm not sure exactly how you want this answered.

Step-by-step explanation:

Just by simplifying the expression, I got [tex]\frac{a^{2}xy }{2} +a^{3}x-\frac{3x^{2} y}{5} -ay^{2}[/tex]

Which correlation coefficient would most likely show a weak negative association?

A: -0.07

B: -0.88

C: 0.09

D: 0.91

Answers

Answer:

Step-by-step explanation:

We can use the regression line to model the linear relationship between x and y ... x and y because the correlation coefficient is not significantly different from zero. ... If r is significant and the scatter plot shows a linear trend, the line can be used to ... If r < negative critical value or r > positive critical value, then r is significant.

Find the area of the triangle shown above

Answers

Answer:

the area is 32 square inches

Step-by-step explanation:

you multiply both sides that have 9 because they are equal and then you add the 14 on

Answer:

63 Inches

Step-by-step explanation:

The formula for finding the area of a triangle is:

(b*h)/2

First, let's plug in the values.

(14*9)/2

Simplify...

126/2

Divide the two which gives us:

63

Therefore, the answer is:

63 Inches.

Hope this helps!

The enrollment in 1st period band class went from 20 to 26 in a month. Find the percent change.

Answers

Answer: the answer is 4/7 your welcome

Use the image to solve

Answers

The answer is

140 degree

system of equations ... SOLVE ASAP PLEASE.

Answers

Answer:

Step-by-step explanation:

Solve 2x−9y=14;−5x+9y=−8

Steps:

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x−9y=14;−5x+9y=−8

Step: Solve2x−9y=14for x:

2x−9y+9y=14+9y(Add 9y to both sides)

2x=9y+14

2x

2

=

9y+14

2

(Divide both sides by 2)

x= 9

2

y+7

Step: Substitute

9

2

y+7forxin−5x+9y=−8:

−5x+9y=−8

−5(

9

2

y+7)+9y=−8

−27

2

y−35=−8(Simplify both sides of the equation)

−27

2

y−35+35=−8+35(Add 35 to both sides)

−27

2

y=27

−27

2

y

−27

2

=

27

−27

2

(Divide both sides by (-27)/2)

y=−2

Step: Substitute−2foryinx=

9/ 2

y+7:

x= 9/ 2 y+7

x= 9/ 2 (−2)+7

x=−2(Simplify both sides of the equation)

Answer:

x=−2 and y=−2

Infanite many solutions

How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number

Answers

Answer:

volume = 595 in³

Step-by-step explanation:

radius = 6/2 = 3

volume = 3.15(3²)(21) = 595.35 in³

(5x-14)=51 how do I find x

Answers

Answer:

simply add

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5x - 14) = 51

expand

5x - 14 = 51

group liked terms

5x = 51 +14

5x = 65

divide through by 5

5x÷5 = 65÷5

x= 13

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