Mathematics College

The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.

Answers

Answer 1

Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.

What is an exponential function?

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the parameters of the equation is defined as follows:

A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.

In the context of this problem, the values of the parameters are given as follows:

A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.

Hence the equation for the number of students in t years after 2005 is given as follows:

[tex]A(t) = 127(1.03)^t[/tex]

The number will be of 350 students when A(t) = 350, hence:

[tex]A(t) = 127(1.03)^t[/tex]

[tex]350 = 127(1.03)^t[/tex]

[tex](1.03)^t = \frac{350}{127}[/tex]

[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]

[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]

t = 34.3 years.

34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.

Missing Information

The problem asks for when the population will be of 350 students.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

The Population Of A School Will Increase By 3% Per Year. In 2005, The Population Was 127 Students. Use

Related Questions

These are congruent. What is the measurement of E?

Answers

Answer:

44º

we know the angle measures of angles G and F; they match up with angles L and M meaning angle K is congruent to angle E

75+11(1777-S)=16,671

Answers

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

I need help!!!!! Solve for n 6n=72

Answers

Answer:

6n=72

n=72/6

n=12

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

Answer:

n = 12

Step-by-step explanation:

n = 72÷ 6

n = 12

thats the answer

Can y’all help pls ;)

Answers

Answer:

A. 5x+6

Step-by-step explanation:

-[tex]\frac{1}{3}[/tex](9x-18)+8x

-3x+6+8x (multiply across the -1/3)

5x+6 (combine 8x and -3x)

HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6

Answers

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

Graph x+y=3 , ILL MARK BRAINLIST

Answers

The answer is d when you graph

Answer:

Are you sure?

None

Step-by-step explanation:

A. x= -3 , y= 3

x + y =

-3 + 3 = 0

B. x= -3 , y= -3

x + y =

-3 + -3 = -6

C. x= 3 , y= 3

x + y =

3 + 3 =6

D. x= 3 , y= -3

x + y =

3 + -3 = 0

Pls help I’m failing math

Answers

`Answer:

a)x=-9

b)x=71

c) x=3

d)x=9

Step-by-step explanation:

thats what i got unless im really stoopid

In triangle ABC, one angle measures 68°, another measures 19°, what is the measure of the third angle? *

Answers

Answer:

93°

Step-by-step explanation:

In triangle ABC

one angle = 68°

Another angle = 19°

Let the third angle be X Then

x + 68° + 19° = 180° { being sum of angles of triangle }

x = 180° - 87°

x = 93°

The measure of the third Angle is 93°

Hope it will help :)

what is 445 + (67 x 958) x (3n - 31) x 67

Answers

Step-by-step explanation:

1

9

2

5

5

8

6

7

−

1

9

8

9

7

6

6

6

7

+

4

4

5

please solve the question below

Answers

Answer:

x = 5.61

Step-by-step explanation:

Applying the knowledge of similarity between two figures, thus:

Height of flag : height of Tommy = shadow length of flag : shadow o

Length of Tommy

30:5.5 = (25 + x) : x

30/5.5 = (25 + x)/x

30×x = 5.5(25 + x)

30x = 137.5 + 5.5x

30x - 5.5x = 137.5

24.5x = 137.5

x = 137.5/24.5

x = 5.61 (nearest hundredth)

Sara had fourteen peaches and forty pears left at her roadside fruit
stand. She went to the orchard and picked more peaches to stock up the
stand. There are now eighty-one peaches at the stand, how many did
she pick ?

Answers

Answer:

67

Step-by-step explanation:

she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67

841 rounded to the nearest 10th

Answers

841 rounded to the nearest 10th is 840...hope this helps u :)

The answer is 840.

I hope am right

what is the area of a figure what is the area of a figure with a 16 inch base a 10 inch base and a height of 8 in on the left and 6in on the right ​

Answers

So I’m thinking of this as two triangles. So I would do 16x8/2 which equals 64 and 10x6/2 which equals 30. So my guess is that the area is 94in^2. Hope this helps you out!

what does b = help plzz

Answers

Answer:

128

Step-by-step explanation:

Answer:128

Step-by-step explanation:

It is 128 because the WHOLE angle is 180 degrees and if 52 degrees are covered the other remaining is b so 180 degrees-52 degrees is 128 degrees

4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)​

Answers

Answer:

Lisa invest "$2180.81" in her bank.

Step-by-step explanation:

The given values are:

On Lisa's 62nd birthday,

she withdraw = $10,000

The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.

⇒  [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]

⇒  [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]

⇒  [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]

⇒      [tex]= 10000\times 16.4436\times 0.0132[/tex]

⇒      [tex]=2180.81[/tex] ($)

The senior class is making T-shirts as a fundraiser. The material needed to make each T-shirt costs $3.75. The students sell each shirt for $10.To increase sales, the students spend $350 on advertising. How many t-shirts must the students sell to breakeven?

Answers

Answer:

the number of t-shirts sold to breakeven is 56 t-shirts

Step-by-step explanation:

The computation of the number of t-shirts sold to breakeven is shown below:

= Fixed cost ÷ (Selling price - cost price)

= $350 ÷ ($10 -  $3.75)

= $350 ÷ 6.25

=  56 t-shirts

Hence, the number of t-shirts sold to breakeven is 56 t-shirts

e/2 < -1 I need help!!! Ty

Answers

Answer: you cant solve this solution

Step-by-step explanation:

Which three side lengths best describe the triangle in the diagram

Answers

I think the answer is 6cm, 8cm, 10cm

Answer:

its 6 cm, 8cm, and 10 cm

Step-by-step explanation:

i just took the quiz

¿Cómo se dice 2021 en números romanos?​

Answers

La respuesta es MMXXl

Answer:

MMXXI Hope this helps :)

Step-by-step explanation:

The length of each side of an equilateral triangle is increased by 6 inches, so the perimeter is now 60 inches. What was the original length of each side of the equilateral triangle?​

Answers

Answer:

14 inches

Step-by-step explanation:

Using this information, we can form an equation.

Since there are 3 sides in a triangle, and each side increased by 6, that means that the perimeter increased by 18 inches. Down below, I did 3x because there are 3 sides in a triangle.

(This is the equation you'd want to do to get the answer)

3x + 3 * 6 = 60

Simplify:

3x + 18 = 60

Same to both sides

3x = 42

Isolate x:

x = 14

Let me know if you have any questions

submit your answers in simplest radical form.


help :(

Answers

Answer:

x = 6√2, y = 6

Step-by-step explanation:

This is an isosceles triangle as one angle measures 45° and the other is a right angle, so it measures 90°.

Therefore, you know that y will equal 6.

You have to multiply a by √2 to find x.

6 x √2 = 6√2

Hope this helps!

Answer:

x = 6[tex]\sqrt{2}[/tex]

y = 6

Step-by-step explanation:

in  a 45-45-90 triangle the two legs are equal, so XY = YZ

also, the leg to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]

so x = 6 · [tex]\sqrt{2}[/tex]

WILL MARK BRAINLIEST
What is the volume of the shape in the image?

Answers

Answer:

18inches I HOPE IM RIGHTTT

Answer:

350

Step-by-step explanation:

you do length•width•height. so

10•7=70 and 70•5=350

divide 345609875by 13​

Answers

Answer:

26585375

Step-by-step explanation:

cuales son los divisores de 12​

Answers

Answer:

1, 2, 3, 4, 6, 12

Step-by-step explanation:

Answer:

1,2,3,4,5,6,12 esos son

1
Add or subtract and simplify. *

(3d + 5) + (40 – 1)

Answers

3d +4

How to:
Combine like terms

Compare the fractions using >,<, or = 3/15 and 1/3

Answers

Answer:

3/15 < 1/3

Step-by-step explanation:

We have two fractions, 3/15 and 1/3. The question is asking us to compare them using the less than sign <, greater than sign >, or equal sign =.

To solve this question, what we must do is try to get both fractions the same denominators, which will be done through multiplying 3 by a certain number to get to 15, then doing the same for the numerator.

So what multiplied by 3 gets us 15?

5.

Multiply both the numerator and denominator by 5.

[tex]\frac{1*5}{3*5}[/tex]

[tex]\frac{5}{15}[/tex]

Now that they both have the same denominator, we can compare and see which is bigger.

5/15 (1/3) and 3/15.

By this we can see that 3/15 is less than 5/15.

Therefore 3/15 < 1/3

Matthew has a loyalty card good for a discount at local hardware store. The item he wants to buy is priced at $13 before discount and tax. After the discount and before tax a price is $12.48. Find the percent discount.

Answers

Answer:

Step-by-step explanation:

Your answer

Old price = 13$

New price = 12.48$

DISCOUNT price = 0.52$

Discount rate = 0.52/13 * 100= 4%

Mark it as Brainlist answer. Follow me.

Solve these with work shown please. ​

Answers

Step-by-step explanation:

substitute the value in the value of x and u will get the result.

Hope this helps have a nice day

Find volume of a 6mi sphere

Answers

The volume of a 6 mi sphere = V = 4/3 πr³.

which phrases represent the expression k/2 - 5

Answers

Answer:

K over two minus five

Step-by-step explanation:

I think?

Other Questions
the nurse is summarizing the key points of the interview. this nursing activity occurs during which phase? what is the magnitude of the electric field in a metal rod that is moving at a constant speed of 5 m/s without rotation through a region of space where there is a perpendicular magnetic field of 0.5 mt? Find the Inverse Laplace transform/(t) = L-1 {F(s)) of the function F(s) = 1e2 Use h(t-a) for the Use ht - a) for the Heaviside function shifted a units horizontally. (1 + e-2s)2 S +2 f(t) = C-1 help (formulas) An atom of 70Br has a mass of 69.944793 amu. mass of atom = 1.007825 amu mass of a neutron = 1.008665 amu Calculate the binding energy in MeV per atom. (value = 1) if a healthy ecosystem experiences a drought for several years, and then the normal rain pattern returns what would you expect to happen? Which method is used by the SNMP Manager when it contacts an SNMP Agent and requests information about a monitored network device?A. TrapB. InterruptC. BroadcastD. Poll How many centimeters equal 128.9 meters? many hospitals and healthcare organizations carefully plan operations. T/F negotiation is often viewed as a win-win alternative dispute resolution strategy, where both parties try to reach a mutually satisfactory outcome.True or False bash is inherently incapable of floating-point arithmetic; this is why we utilize external utilities. true false protestantism began as a dissent against the church and had many radical manifestations, but it eventually became "domesticated" due to: A pair one jeans cost $24.50. There is a 6% sales tax rate. What is the sales tax for the pair of jeans in dollars and cents. NO LINKS!! URGENT HELP PLEASE!!!Find the area of ABC5. c = 17, b = 13, a = 156. a = 23, b = 25, c = 14 A MOSFET fabricated in the structure of Problem 1 has an effective mobility u = 700 cm?/Vs, gate length = 0.3 um, and gate width = 1.0 um. a. Suppose that the actual threshold voltage had come out to be V- = -0.20 V, due to the oxide charge being different from what we thought it was. What dose of B (boron) must be implanted to bring V1 up to +0.30 V? b. Using the square-law model, calculate le for the following voltages: i VG = 2.0 V, Vo = 1.0 V. ii. Va = 2.0 V, Vo = 2.0 V. iii. Va = 2.0 V, Vo = 3.0 V Use SQL to make the following changes to the Colonial Adventure Tours database (Figures 1-4 through 1-8 in Chapter 1). After each change, execute an appropriate query to show that the change was made correctly. If directed to do so by your instructor, use the information provided with the Chapter 3 Exercises to print your output or to save it to a document.The distance for the Pontook Reservoir Tour trip has been increased to an unknown number. Change the PADDLING table to reflect this change. Three years ago, the mean price of an existing single-family home was $243,780. A real estate broker believes that existing home prices in her neighborhood are lower.(a)Determine the null and alternative hypotheses(b)Explain what it would mean to make a Type I error.(c) Explain what it would mean to make a Type II error.(a) State the hypotheses.H0:__ __$__H1:__ __$__(Type integers or decimals. Do not round.)(b) Which of the following is a Type I error?A. The broker rejects the hypothesis that the mean price is$243,780 when it is the true mean cost.B. The broker fails to reject the hypothesis that the mean price is $243780, when the true mean price is less than $243780.C. The broker rejects the hypothesis that the mean price is$243,780, when the true mean price is less than $243,780D.The broker fails to reject the hypothesis that the mean price is $243,780 when it is the true mean cost.(c) Which of the following is a Type II error?A. The broker rejects the hypothesis that the mean price is$243,780 when the true mean price is less than $243,780B.The broker fails to reject the hypothesis that the mean price is $243,780when it is the true mean cost.C. The broker fails to reject the hypothesis that the mean price is $243,780, when the true mean price is less than $243,780D.The broker rejects the hypothesis that the mean price is$243,780, when it is the true mean cost. how many mev are released per nucleus when 3.50 103 mol of chromium49 releases 8.11 105 kj? mev/nucleus (true or false) the mobile phase used during the tlc analysis of dipeptide experiment was silica gel. Whats 1+1. show your work. I mean a lot of work TRUE/FALSE.The American Heart Association presents it's "A Patient's Bill of Rights" to ensure that patients and their families understand their rights and responsibilities.