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

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]

Help me please , will mark

Answers

40 percent you were right

Use the image to solve

Answers

The answer is

140 degree

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

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

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.

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.

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

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

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

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

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

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

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)

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!

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

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

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

If correct I’ll give brainlist

Answers

the correct option is (1,0)

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

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

(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

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.

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

Someone please help I’m begging you

Answers

Answer:

Graphical method

graphical method hope this helps

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]

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

Answers

Answer:

8. 90°

9. 18°

10. 18°

11. 105

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

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.

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

Answers

Step-by-step explanation:

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