2.
2.
Which of the following functions would give the population Plt) as a function
of t, in years, given that the initial population is 2,500 and that the population
is growing at an annual rate of 4%?
(1) P(t)=2500(0.96)
(3) P(t)=2,500(1.04)
(2) P(t)=(1.04) +2,500
(4) P(t)= 1.04t +2,500

Answers

Answer 1

Answer:

[tex]P(t)=2500(1.04)^t[/tex]

Step-by-step explanation:

None of your proposed answers has an exponent t.

Here's the logic behind the answer:

Year 0: pop. = 2500

Year 1:  pop. = 2500(1.04)  That is 104% of the previous year's pop.

Year 2: pop. = 2500(1.04)(1.04) = 2500(1.04)^2

Year 3: pop. = 2500(1.04)^2 x (1.04) = 2500(1.04)^3

See the pattern?  The exponent matches the year number.


Related Questions

Which of the following are binomiola? Check oll that apply
A. x + 2
B. x+3/x
C-x^10
D. x^7
E x^2 + 18
F.x

Answers

a Binomial is 2 terms

so the solution is

A

B

E

Answer:

A, B, and E

Step-by-step explanation:

Binomials are equations that consist of two terms.

Thx for helping! Everythings IN THE PIC sry for caps

Answers

here is pictrues

i dont understand number 3

plz mark me brainlest

# 4

To begin solving for the total cost of the paint that Ariana needs to buy, we first need to calculate the size of the walls and the ceiling that she is going to paint.

We begin by finding the size for the walls.

We use the formula  to find the area of each wall.

We know that the walls are 10-foot squares.

10 x 10 = 100 Square Feet

Each wall will have an area of 100 square feet each, we know that there are 4 walls in the shed.

100 x 4 = 400 Square Feet of walls to paint total.

Now we know that the ceiling will have the same area as the walls.

10 x 10 = 100 Square Feet of ceiling to paint.

Now Ariana goes to the store and finds that a gallon of paint cover 350 square feet. Ariana needs to paint a total of 400 square feet of wall.

400 - 350 = 50 Square Feet remains.

We know that she needs to buy the paint in gallons, so this leaves Ariana with purchasing 2 gallons of Blue paint.

Now Ariana also wants to paint the ceiling white. We know that 1 gallon of White paint is more than enough to cover the ceiling, but she still needs to buy the gallon of paint.

Now we add up all the prices of the 3 gallons of paint.

$26.98 x 2 = $53.96 for Blue Paint

$26.98 x 1 = $26.98 for White Paint

Total cost = $80.94.

Now we know that the sales tax is 5.5% of the total price.

$80.94 x 0.055

Sales Tax = $4.45

Now we simply add the total cost to the sales tax.

$80.94 + 4.45

Total cost with sales tax = $85.39

1.
35, 56, 34, 44, 52, 12, 34, 45
Mean:
Median:
Mode:

Answers

Answer:

Mean x¯¯¯ 39

Median x˜ 39.5

Mode 34

Step-by-step explanation:

Mean: 39

Median: 39.5

Mode: 34

Write a formula you could type into a spreadsheet to compute the value of each expression.

Type your responses in the spaces below. NO SPACES IN ANSWERS!!!



a. (19.2)⋅73

b. 1.1^5

c. 2.34÷5

d. 91/7

Answers

I believe it’s answer C

While rowing in a race, John does 3960 J of work on the oars in 60 s. What is the power output in Watts?

Answers

Answer:

66 Watts

Step-by-step explanation:

Given data

Work= 3960Joules

Time= 60 seconds

We know that the expression for power is

Power= Work/TIme

Power= 3960/60

Power=66 Watts

Hence the power is 66 Watts

Michael completely covered a square wall using 101.5ft2 of wallpaper without any overlap. Which measurement is closest to the side length of this wall in feet?

Answers

Answer:

10[tex]ft^{2}[/tex]

Step-by-step explanation:

Find the square root of 101.5 and round it.

√101.5=10.0747208398

10.0747208398≈10

So, the side length is 10[tex]ft^{2}[/tex].

Substitute the values of a = 7 and b = 11. What expression do you get when you substitute these two values? 67 + 311 6 ( 7 ) + 3 ( 11 ) 6 ( 7 ) - 3 ( 11 ) 7 ( 7a) + 3 ( 11b)

Answers

Answer:

[tex]6(7) + 7(11)[/tex]

Step-by-step explanation:

Given

The expression is:

[tex]6a + 7b[/tex]

[tex]a = 7[/tex]

[tex]b = 11[/tex]

Required

The corresponding expression when the values are substituted for the variables

We have: [tex]6a + 7b[/tex]

Substitute [tex]a = 7[/tex]

So, the expression becomes:

[tex]6(7) + 7b[/tex]

Substitute [tex]b = 11[/tex]

So, the expression becomes:

[tex]6(7) + 7(11)[/tex]

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 65 feet, and the length of the other base is 44 feet. The height is 30 feet. What is the area of this section of the deck? The area for the section of the deck is ft2.

Answers

Answer:

1635 feets²

Step-by-step explanation:

The Area of a trapezoid is given as :

1/2 (a +b)h

Where ;

a and b are the base of the trapezoid

h = height

From the question :

a = 65 feets

b = 44 feets

h = 30 feets

Area, A = 1/2(65 + 44) * 30

A = 1/2 (109) * 30

A = 1635 feets²

what is the slope of the line?

Answers

Answer:

y = 2x - 3

Step-by-step explanation:

Since the line is going 2 down and 1 left. The slope is 2.

The line crosses the y-intercept at -3.

y = 2x - 3

Answer:

m = 2

Step-by-step explanation:

You have to use the slope formula and insert your points into the formula. Your formula should have turned into 0 - (-3)/1.5 - 0. If you simplfy your equation your get m(slope)=2.

Hope this helps! :D

-Luna

point 1 and -2 lies in the dash quadrant​

Answers

Given:

The point is (1,-2).

To find:

The quadrant in which the point (1,-2) lies.

Solution:

We know that,

In first quadrant, both coordinates are positive, i.e., (x,y).

In second quadrant, x coordinate is negative but the y-coordinate is positive, i.e., (-x,y).

In third quadrant, both coordinates are negative, i.e., (-x,-y).

In fourth quadrant, x coordinate is positive but the y-coordinate is negative, i.e., (x,-y).

Where, x and y are two non-negative values.

In the given point (1,-2) the x coordinate is positive but the y-coordinate is negative.

Therefore, the point (1,-2) lies in fourth quadrant.

Solve 7y^2+ 21 = 77, where Y is a real number. Round your answer to the nearest hundredth.​

Answers

When you do the algebra you get square root of 8. Put that into calculator and get 2.828

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer and Step-by-step explanation:

To find the range, we must plug in the values 0 to 15 into the function to find the values of f(x), which are the range.

When plugging in the values, we see that the answer should be the last one.

We start with a pay of $15.50, and it increases each time by $10, until it reaches $165.50.

So, D is the answer.

#teamtrees #PAW (Plant And Water)

Thanks don’t answer any of my questions or post share this to everyone on Brainily I’m tired of my phone blowing up not from the nice people some are mean y’all will get 71 points I chose that ok peace

Answers

i will share to my friends

Which point does not pass through?
10 Points

Answers

Answer:

C  ( 9 , 15)

Step-by-step explanation:

The answer is c the point will not pass through the graph at points c(9,5)

A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning

Answers

The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.

Answer:

1 inch = 8.333 feets

Step-by-step explanation:

Initial dimension of rectangle :

100 feets by 10 feets

Fractional decrease in garden = 2/3

New Dimension of garden :

2/3(100 feets) by 2/3(10 feets)

66.667 feets by 6.6667 feets

Hence

From the picture attached :

8 inch = 66.667

1 inch = 8.333

The new scale of the drawing = 1 inch = 8.333 feets

What percent of the ninth graders scored above an 87?

Answers

i think you meant to attach a photo

Nate is buying a new car. He will pay $2000 today and then $500 a month for x months.
Write an equation that can be used to find y, the total cost of the new car.

Answers

Answer:

y = 2000 + 500x

Step-by-step explanation:

2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.

And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.

answer 2000 + 500 x M =y  

HELP PLEASE!

Eight light poles are evenly spaced along a street. A total of 140 plastic pipes of the same length are placed EQUALLY between the 8 poles.

a) How many pipes are placed between the FIRST and SECOND poles?

b) Each pipe is 6 meters long. The pipes are connected end to end just touching each other between the poles. What is the distance between the first and second poles?

Answers

Answer:

n m n .m .nmn nm Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, MO = 24, NM = 25, and ON = 7. What ratio represents the cosecant of ∠N?

Answers

Answer:

\csc N = \frac{\text{hypotenuse}}{\text{opposite}}=\mathbf{\frac{25}{24}}

cscN= opposite

         hypotenuse = 24/25

Step-by-step explanation:

Thank for help find a volume

Answers

Answer:

117π=367.38

Step-by-step explanation:

r=d/2=3

V=πr2h=π·3²·13=117π=367.38

There were 8,454 pencils that were produced in the factory. When inspecting the pencils they noticed that 1,789 pencils were cracked. How many pencils were they able to use

Answers

Answer: They were able to use 665 pencils

Step-by-step explanation: You would simply do 8,454 - 1,789=665

                  Give Brainliest please :)

HELP ME PLEASE ILL BRAINLIEST YOU IF YOU GET IT RIGHT
which lines, if any, are parallel in the diagram below?

Answers

The correct answer would be C
The correct answer is c

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

4:1

Step-by-step explanation:

unsimplified version : 12 to 3

12 and 3 both have a common common factor ( which would be 3 )

This means that we can divide the current ratio to get a simpler ratio

12/3=4

3/3=1

The new simplified ratio would be 4:1

4:1 is the answer, please mark brainliest

Which set of tokens represents 0?
Positive
Negative


Pls helpp!!

Answers

Answer:

C.

represent 0

hope it helps

Suppose you take 340 mg of a certain medication.
The amount of medication in your body decreases by 32% per hour.

Write a function for M(h), the number of milligrams of the medication in your body after h hours

Answers

Answer:

m= 340 × 0.68h

Step-by-step explanation:

Given that

You take 340 mg of the certain medication

And, the amount of medication would be reduced by 32% per hour

So we need to the find the function for M(h)

Here M denotes the milligrams

And, the h denotes the hours

So, the function would be

m = 340 × (1 - 0.32)h

m= 340 × 0.68h

The same would be considered and relevant


-0.3x2 + 2x + 3
What is this equation in a table ?

Answers

Answer:

Here

Step-by-step explanation:

Just pick numbers and substitute it into the equation for x

Find the 5th term of the arithmetic sequence −5x−6, -x-10,3x−14,.

Answers

I think this is going to help you understand the concept and hope that the answer is correct. Thanks for understanding.

Find the value of two numbers if their sum is 19 and and their difference is 5

Answers

Answer:

7 and 12

Step-by-step explanation:

x - y = 5

y = (5+x)

x+ (5+x) = 19

2x +5 = 19

2x = 14

x = 7

           19-7 = 12

12 +7  = 19

12-7 = 5

answers- 7 and 12

if a + b =19
then, a - b =5
so, a= b + 5

if, a = b + 5
then, b + b + 5= 19
(2b) + 5 =1 9
19- a(5)= 14
b= 7
a+7=19
a= 12

Will I fail the grade if I fail the OST ( Ohio state test) ?

Answers

Step-by-step explanation:

Yes,it maybe.Because the grade depends on your test.

Answer:

100%

Step-by-step explanation:

Crush kita matagal na

can someone plz help answer this?

Answers

Answer is 33 since the scale factor is 1.5, you get that by dividing similar sides. An example would be SO is equal to side GN so dividing 39 and 26 together would get you 1.5 and you would use this to find the missing length.
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