A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x

Answers

Answer 1

Question:

A population of insects, in thousands, can be modeled using the function

[tex]p(t) = 1.75(0.97)^t[/tex], where t is time in months. Which statement best

describes the population of insects?

A. The population is decaying at a rate of 3% each month.

B. The population is decaying at a rate of 25% each month.

C. The population is growing at a rate of 75% each month.

D. The population is growing at a rate of 97% each month.

Answer:

A. The population is decaying at a rate of 3% each month.

Step-by-step explanation:

Given

[tex]p(t) = 1.75(0.97)^t[/tex]

Required

True statement about the function

From the options, we can see that we are to answer the question on the basis of decay and growing rates.

An exponential form is:

[tex]y=ab^x[/tex]

Compare to [tex]p(t) = 1.75(0.97)^t[/tex]

[tex]b= 0.97\\[/tex]

If [tex]b > 1[/tex], then [tex]b = 1 + r[/tex] r represents growth rate

else, [tex]b= 1-r[/tex] r represents decay rate

Since b < 0.97:

[tex]0.97= 1-r[/tex]

[tex]r = 1 - 0.97[/tex]

[tex]r = 0.03[/tex]

[tex]r = 3\%[/tex]

[tex]r = 0.03[/tex]


Related Questions

4.
Your math test has 38 questions and is worth 200 points. The test consists
of multiple-choice questions worth 4 points each and open-ended questions
worth 20 points each. How many of each type of question are there?

... please solve this using if systems of equations

Answers

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

What's the answer to x^2-6x-8?

Answers

Answer:

0

Step-by-step explanation:

(x-4)(x-2)=0

If any individual factor on the left side of the equation is equal to 0

the entire expression will be equal to 0

Set the first factor equal to 0 and solve

x=4

The final solution is all the values that make

(x-4)(x-2)=0

x=4,2

explain how you can use absolute value to tell whether the fisherman or the end of his fishing line is farther from the surface of the water.

Answers

Answer:

So the answer is in your thoughts and also in your mind so therefor the answer is the fisherman is more farther away just by looking at him

Step-by-step explanation:

Answer:

The fisherman is farther away from the surface of water.

Step-by-step explanation:

So first of all, we know by looking at it that fisherman is farther away, but we need to use absolute value.

What is the absolute value of -12? 12.

That way, you can easily compare 16 and |-12|!

I hope this helped!

If John's present age is 3x years and Jane is twice his age, what will be the
sum of their ages in 5 years' time? *

Answers

Answer:

i think its 30x

Step-by-step explanation:

3x2=6

6x5=30

Answer:

9x+10

Step-by-step explanation:

JOHN=3X JANE=6X THEIR COMBINED AGE IN 5 YEARS WILL BE 3X+5+6X+5 OT 9X+10

Mrs. Hazen bought 4 1/2 pounds of bananas to make a banana cream pie. There are 16 ounces in a pound. How many ounces of bananas did Mrs. Hazen purchase?

Answers

Answer:

72 ounces of bananas

Answer:

72

Step-by-step explanation:

4.5 ties 16 = 72

There were 35 foxes with socks sitting on some boxes. How many socks
were there altogether. (Remember a fox has 4 feet)

Answers

Answer:

140 socks or 70 pair of socks

Step-by-step explanation:

35 x 4 = 140

Answer:

140

Step-by-step explanation:

35 times 4 is 140

Find the area of the hexagon. i will mark brainliest and pls explain.

Answers

Answer:

C. 150√3

Step-by-step explanation:

Radius of the inscribed circle is the apothem of the hexagon.

Apothem (a) and half of the side (s) make a 30-60-90 right triangle.

The ratio of the legs, as per property of 30-60-90 triangle:

s : a = 1 : √3 ⇒ s : 5√3 = 1 : √3 ⇒ s = 5

Half the side is s = 5 units, then side of the hexagon is 10 units.

The area of the hexagon:

A = 1/2Pa, P- perimeter, a- apothemA = 1/2(6*10)*(5√3) = 150√3

Correct choice is C

Pls help me ASAP and explain and show your working of this question

Answers

-5 = 53

-1 = 13

0 = 3

1= -7

Step-by-step explanation:

Not sure if this is right, but all I did was plugged -10 X + 3 into the Y = on my calculator and then graphed and checked the table, I looked at the x value and then the Y.

Step-by-step explanation:

given equation :- y = -10x + 3

1)when x = -5

y = -10x + 3

y = -10 (-5) + 3

= 50 + 3

= 53

2)when x = -1

y = -10x + 3

y = -10(-1) + 3

= 10 + 3

= 13

3) when x = 0

y = -10x + 3

y = -10(0) +3

= 0+ 3

= 3

4) when x = 1

y = -10x + 3

y = -10(1) +3

= -10 + 3

= -7

You earn $44.55 in 9 hours. Your friend earns $51.00 in 12 hours. How much do you AND your friend earn in 20 hours? HINT- You need to calculate how much you both make in 1 hour first! 1 point

Answers

Answer:

I earn $99. my friend earns $85. We both earn $184

Step-by-step explanation:

Steps

Find the amount earned per hour for each friend multiply the value gotten by 20 hours Add the amount

Amount i earn per hour = 44.55 / 9 = $4.95

Amount my friend earns = 51 /12 = $4.25

Amount earned in 20 hours

4.95 x 20 = 99

4.25 x 20 = 85

Solve using the quadratic formula. x^2−10x+23=0

Answers

Answer:

x  =  5  ±  √  2

Step-by-step explanation:

Find X .Round your answer to the nearest tenth of a degree.

Answers

Answer:

Step-by-step explanation:

With reference angle x

perpendicular (p) = 11

hypotenuse (h) = 18

Now

sin x = p / h

sin x = 11 / 18

x = sin ^-1( 11/ 18)

x = 37.66

x = 37.7

Awnser: 37.7

Sin: Oppostie/Hypotonuse

11/18=sin(x)

sin^-1(11/18)= 37.6698...

Ecuación:
15 + 3x = 21 - x

Y una explicación por favor. Gracias.
(No respondan con un enlace a otra pagina, solo en un texto o una imagen dentro de la página)

Answers

Queremos tener todos los variables del mismo typo en un lado así que vamos a mover la -x a la izquierda, y el 15 a la derecha.
15 + 3x = 21 - x
+x +x
————————
15 + 4x = 21
-15 -15
———————
4x = 6
— —
4 4
X = 1.5 para ver si es correcto puedes tratar de poner 1.5 en lugar de la x y te saldrá una ecuación correcta :), déjame saber si tienes preguntas espero que eso hizo sentido.

ill give brainliest if it's right

Find the common difference of the arithmetic sequence -11, -16, -21,...−11,−16,−21,...

Answers

Answer:

-5 is the common difference.

Step-by-step explanation:

Answer:

...... ignor this

Step-by-step explanation:

.. sjodnaknd sorry

HELP ME PLEASE!!,I WILL GIVE BRAINLIEST!!

Answers

Answer:

The answer is C.

Step-by-step explanation:

So reduce the expression with √3.

So you're left with 50/√2 • 80√5

So you multiply it.

4000√5/√2

Rationalize the denominator

2000√10

Answer:

The answer is C!

Step-by-step explanation:

Please hurry and tell me the answer.
Petra has 6 (FT) ribbons. She wants to make 8 bows that are exactly, the same and use all of her ribbon.

Answers

Answer:

A is correct

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

(A) 2.4 cm
(B) 4.8 cm
(C) 1.8 cm
(D) 3.6 cm​

Answers

Answer:

(D)3.6 cm esa es amigo buen dia

i have no idea where to plot the points

Answers

Answer:

1/4 is slope\

Step-by-step explanation:

1/4 it’s going on a down slope

Paul is growing a rectangular rose garden. His area is 5x2+ 8x +3. What are the dimensions of his rectangle?

Answers

Answer:

[tex]Length = 5x + 3[/tex]

[tex]Width = x +1[/tex]

Step-by-step explanation:

Given

[tex]Area = 5x^2 + 8x + 3[/tex]

Required

Determine the dimensions

To do this, we simply factorize the given expression.

[tex]Area = 5x^2 + 8x + 3[/tex]

Expand

[tex]Area = 5x^2 + 5x +3x+ 3[/tex]

Factorize

[tex]Area = 5x(x + 1) +3(x+ 1)[/tex]

Factor out x + 1

[tex]Area = (5x +3) (x+ 1)[/tex]

Area is calculated as:

[tex]Area = Length * Width[/tex]

So:

[tex]Length = 5x + 3[/tex]

[tex]Width = x +1[/tex]

A triangular sail has a base length of 3 meters. The area of the sail is 12 square meters. How tall is the sail

Answers

Answer: 4

Step-by-step explanation: Length times width times height so you have to do 12 divided by 3 and you get 4

the answer would be four

Charles buys 10 drinks and 3 sandwiches for $34. Isabel buys 5 drinks and 4
sandwiches for $37. They want to determine the cost of each item.
Write a system of linear equations to model the problem. Let d equal the cost
of each drink and let s equal the cost of each sandwich. Solve the system
algebraically. How much does each item cost?

Answers

Drinks cost $1 and Sandwiches cost $8

What is z4 + z4 + z4 + z4?

Answers

Answer:

4z

Step-by-step explanation:

Problem Find the midpoint between the following points using the Midpoint Formula 11113 91492). 2 Solution 1. Given: (-10, 2) and (3,5), the midpoint is ( Berg 2. Given: (3,6) and (7,6) the midpoint is ( BRARIES ) B. RE​

Answers

Answer:

Step-by-step explanation:

1) (-10,2)   ; (3,5)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{-10 +3 }{2}, \frac{2+5}{2})\\\\=(\frac{-7}{2},\frac{7}{2})\\\\=(-3.5, 3.5)[/tex]

2) (3,6)  ; (7,6)

[tex]Midpoint= (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})\\\\=(\frac{3+7 }{2}, \frac{6+6}{2})\\\\=(\frac{10}{2},\frac{12}{2})\\\\=(5, 6)[/tex]

Pretend a neighbor reported Chang-bo and Oak-hee's conversation to the North Korean government. What happens next? Use the story as your reference. Make sure to include or begin at the climax (turning point) of the story. Develop the climax into the falling action. Finally, write a conclusion to "Nothing to Envy". Does the story have a good ending or a bad ending? Make sure to write at least 10 sentences. You will be graded on creativity, grammar, and elements of plot.

Answers

He tells the government his opinion and then multiple army tanks come and blast him, bad ending.

Can you help? I'll give brainliest

Answers

Answer:

w=2 3/4

Step-by-step explanation:

I need here too please

Answers

The answer is false.....,,,.,

Answer:

The answer is false.

Step-by-step explanation:

How do I solve this?
-1/3+y=1

Answers

Answer:

y=-3

Step-by-step explanation:

.....................

Answer to equation:

y = 1 1/3

Step-by-step explanation:

for this problem we see that we are starting below 0 and going up to one, all we have to do is solve for the distance between the two numbers, as shown

(-1/3) + 1/3 = 0

0 + 1 = 1

now to simplify, we just add the total amount of change between the two numbers

1/3 + 1 = 1 1/3

NOTE: this can be done by just adding the absolute value of each number if one is a negative number and one is a positive number, wich is basically what i did

-1/3 = |1/3|

1 = |1|

|1/3| + |1| = |1 1/3| or total amount of change

but if you are working with two positive or two negative numbers, then subtract the lesser of the two absolute values as so

-2 + x = -5

-2 = |2|

-5 = |5|

|5| - |2| = |3|

3 = amount of change

3 = x

-2 + -3 = -5

what is the area of the following shape​

Answers

Answer:

i think you multiply them i could be mistaken

The answer is 56 that’s the area

A cylinder has a radius of 6 meters. Its volume is 180 pi. cubic meters.
Find the height of the cylinder. *

Answers

Answer:

h = 5  

Step-by-step explanation:

Formula for volume of a cylinder:

V = πr²h

r = 6

V = 180π

V = πr²h

180π = π6²h

180π = 36πh

(180π)/(36π) = h

h = (180)/(36)      

h = 5                

Answer:

yeet

Step-by-step explanation:

yeet thanks for the points scrub

Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?

Answers

Answer:

22/25

Step-by-step explanation:

Multiples of 8 betwen 1 - 50 =

8

16

24

32

40

48

there are 6 multiples of 8

Numbers that are not multiples of 8 = 50 - 6 = 44

Probability  the operator will choose a unit that is not a multiple of 8 = 44/50

Expressing in simpler terms = 22/25

Lincoln High School earned $5,100 in ticket sales for a play. The cost per ticket was 12$. Let t represent the number of tickets sold to the play. Which of the following equations could be used to determine how many tickets were sold to the play

Answers

Answer:5100 divided by 12=425

Step-by-step explanation:

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