A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.

Answers

Answer 1

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

The required equation will be in the form y = Ae^kt

where:

k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.

If High School A currently has 850 students and is projected to grow by 35 students each year, hence;

A = 850k = 35 (growth factor)

Substituting into the formula, we will have:

y = 850e^35t

If High School B currently has 700 students and is projected to grow by 60 students each year, hence;

A = 700k = 60 (growth factor)

Substituting into the formula, we will have:

y = 700e^70t

An equation for each situation, in terms of t, is y = 850e^35t and

y = 700e^70t

Learn more on exponential function here: https://brainly.com/question/12940982


Related Questions

I need help plz like ASAP
I will give you a Brainist if you answer first

Answers

Answer:

Step-by-step explanation:

The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .

Can anyone tell me the answer please ??

Answers

9^2 + 12^2 = 225
Sqrt 225 = a
I think it’s 3 because 12-9 is 3

Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost

Answers

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

Answer:

26 dollars per ticket

Step-by-step explanation:

156/6=26

26x6=156

What is the value of 2/11 divided by 3/11? *
5 points
6/121
2/3
3/2
121/6

Answers

Answer:

the answer is 2/3

Step-by-step explanation:

(2/11)/(3/11)=2/3

Answer:

Exact Form:

2 /3

Decimal Form:

0. 6 repeating

Step-by-step explanation:

85 ÷5 jejeisisossjjxjsjsjskkskxkxkxo

Answers

Answer:

17

Step-by-step explanation:

Trick or treaters went trick or treating in their neighborhood,if there are 40 homes in the neighborhood and 3/4 of them were home to give out candy,how many homes did they visit

Answers

They visited 30 homes

Two sides of a triangle are 12 meters and 16 meters. What is the largest the third side can be?
A) 22 meters
B) 24 meters
C) 26 meters
D) 28 meters

Answers

Answer:

The largest third side would be 26 meters.

Option B is correct.

Step-by-step explanation:

We are given two sides of triangle 12 meters and 16 meters.

We need to find What is the largest the third side can be?

We know that the length of third side should be less than the sum of two sides of triangle

third side < length of first side + length of second side

third side < 12+16

third side < 28

So, the length of third side should be less than 28

We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.

So, the largest third side would be 26 meters.

Option B is correct.

what is the value of this expression below when w=10 and x=7
10w-7x

Answers

Answer:

=51

Step-by-step explanation:

10w - 7x

10(10) - 7(7)

100 - 49

=51

10*10=100
7*7=49
Then subtract:
100-49=51
So the answer is 51


Find the GCF of 24, 48, and 480.

Answers

Answer:

The common factors for  24 , 48 , 480 are

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

The GCF (HCF) of the numerical factors 1,2,3,4,6,8,12,24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Prime factorization.

24= 2*2*2*3

48= 2*2*2*2*3

480= 2*3*2*5*2*2*2

The numbers that appear the most often for all 3 numbers is: 2, 3, 4. I got 4 because of 2*2.

Multiply 2*3*4 which equals 24. The GCF of 24, 48, and 480 is 24.

The shadow of a tower is equal to its height at 10.45 a.m. The sun’s altitude is​

Answers

Incomplete question.  

7a(3b - 2c + 4)


Help?

Answers

Answer:

21ab-14ac+28a

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

The diagram shows a parallelogram.
2x
3x - 15
(2x24
2x
Work out the value of x.​

Answers

Answer:

x=39

Step-by-step explanation:

It is a four sided thing so the sum of all angles is 360

hence

2x + 3x - 15 + 2x + 2x + 24 = 360

and

x will be 39

3x - 15 = 2x + 24
x - 15 = 24
x = 39

(2x + 24) + 2x = 180
4x + 24 = 180
4x = 156
x = 39

2x + (3x - 15) = 180
5x - 15 = 180
5x = 195
x = 39

Hi can someone please help me with this question!!!!! Please!
I will mark you brainlest

Answers

Answer:

C. 40

Step-by-step explanation:

Start with multiplying the 120 students who took the computing and networking courses with 1160 hours. 120 times 1160 = 139200

That means that 139200 hours of the 164800 hours are by the students who took computing and networking classes, so now we have to subtract.

164800 - 139200 = 25600

Now divide 25600 with 640, because 25600 is the hours for the business course. 25600/640 = 40

So there's 40 students

Use the elimination method to solve the system of equations. Choose the correct ordered pair.
5x - 2y = 9
3x + 4y = -5

Answers

Answer:

(1,-2)

Step-by-step explanation:

what is the product of

(2x+3)(4x²-5x+6)

Answers

Answer:

24x^3-30x^2+36x

Step-by-step explanation:

you distribute.

(2x+3)(4x^2-5x+6)

distribute the 2x first

3(4x^2*2x-5x*2x+6*2x)

then simplify

3(8x^3-10x^2+12x)

then distribute again (I'm distributing and multiplying it out in this step)

24x^3-30x^2+36x

HELP MEEE. :)
giving out brainliest

Answers

Answer:

(5, 7)

Step-by-step explanation:

before the translation, A is (2, 5)

by adding 3 to A and 2 to y, we get (5, 7)

HELP ASAP DUE IN 5!!!!
The points in each table lie on a line. Find the slope of the line.

O 1/5
O 1
O 5
O None of the above

Answers

1/5 using the slope formula

If the technician charged $327.50, then the technician worked
hours.

Answers

Answer:

Idrk because you need to tell me the Hours

Step-by-step explanation:

Sorry :c But if you tell me more I m sure I could help :D

Can someone help me this is due today

Answers

Answer:

13 miles

Step-by-step explanation:

It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.

Which of these representations could model the same relationship? Select ALL that apply

Answers

Answer:

the schedule and the algebraic expression

Y'all I need HELPPPPPP

Answers

Answer:

x = 13

arc RQ = 160°

Step-by-step explanation:

The length of smaller arc RQ is twice of the inscribed angle it sees

(5x + 15) × 2 = 10x + 30

9x + 17 + 6x - 12 + 10x + 30 = 360° add like terms

25x + 35 = 360

25x = 360 - 35

25x = 325 divide both sides by 25

x = 13 now the measure of arc RQ

10x + 30 ➡ 10 × 13 + 30 = 160°

Shaq wants to buy a jacket that is 45% off. The original price is
$133.82.
What is amount of discount (nearest penny)?

What is the sale price (nearest penny)?

Answers

60.22
It is 60.219 but to nearest penny

Which word describes the relationship of the points (3, 1)
and (3, 6)?
O A) collinear
OB) parallel
OC) perpendicular
OD) coincident​

Answers

Answer:

where is the diagram dude

i think u wolud be having a digram of it

What is the interest you will pay if you borrowed $900 at 10% interest for 2 years?

Answers

Answer:

$180

Step-by-step explanation:

Simple interest formula:

I = R x T x P divided by 100

=(900 x 2 x 10) / 100

=18000 / 100 = 180

=$180

If the price of a shirt is $25, then express the price of n shirts.
A.$25/n
B.$25n
C.$25+n
D.$25-n
E.n/$25

Answers

Answer:

B. ($25n)

Step-by-step explanation:

Due to it being n shirts, the price is $25 plus itself n times.

Hence, the price is $25n.

Hope this helped!

3 friends went to a coffee shop. Each of them got a muffin and two cups of coffee. The total cost of the order was $21.75. If a muffin is $3.25, write an equation to solve for c, the cost of 1 cup of coffee

Answers

Answer:I think it’s 3.25(3)+6c=$21.75, I’m not sure

Step-by-step explanation:

Hi there can you solve this math problem?
Is mayonnaise an instrument? 2+2=?

Answers

Answer
I think it’s.........781
Explanation

Answer:

Hi.

No Patrick, mayonnaise is not an instrument. Horseradish isn't either.

Step-by-step explanation:

2 + 2 = 4.

When you do 2 of something and add another 2 of something, you get 4 somethings.

I hope this helps!

A car traveling along a long straight highway at a constant speed passes a rest area. The distance d, in miles, the car must travel to reach the next rest area as a function of the time t, in hours, is modeled by d(t) = 100 - 65t . a) What does the 100 represent in the context of the problem? b) What does the 65 represent in the context of the problem?

Answers

Answer:

100 is the distance between that rest stop and the next 65 is the speed in which the car is traveling

The temperature of a pot of water is 50⁰ F. The temperature rises 15⁰ per minute. Write an equation below in y=mx + b form to express this situation.

Answers

Answer:

The equation to express this situation is y = 15x + 50.

Step-by-step explanation:

Initially, the temperature of a pot of water is 50⁰, i.e. at after x = 0 minutes the temperature was, y = 50⁰.

And the temperature rises 15⁰ per minute.

So, after x₁ = 5 minutes, the temperature was, y₁ = 125⁰.

And similarly after x₂ = 10 minutes, the temperature was, y₂ = 200⁰.

Compute the equation to express this situation as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x-x_{1})\\\\(y-125)=\frac{200-125}{10-5}\times (x-5)\\\\y-125=15x-75\\\\y=15x-50[/tex]

Thus, the equation to express this situation is y = 15x + 50.

Answer plzzzz!!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

Answer:

the answer is B

Step-by-step explanation:

We can visualize in this picture that there's  angles that are facing each other and 2 sides one tops and one on the side.

Other Questions
y varies inversely as X. y=4 when x=2. Find y when x=16 SOMEONE HELP ME PLEASE!!!!! What happens between the two monosaccharides once water is removed? What is the relationship between glucose and the energy molecule? Mikey is reading a 739-page book. Today he started reading on page 95; he had started reading last week. If he reads for x hours at 18 pages per hour, which equation represents how long it will take him to finish the book? need some help just want to check if my answer is correct FIRST ANSWER GETS BRAINLIEST! (Personal & Family Finance)Martines son is five years old. He loves to swim, but every year he needs a new swimsuit because he is growing so fast. Martine doesnt have a lot of extra income to spend on bathing suits. What financial advice would you give to Martine about making this purchase?Borrow money from a friend to buy a suit each year.Use a credit card to buy swimsuits and pay it off later in the year.Buy the next years swimsuit at the end of the summer each year. Can yall plz help me answer this!!! Read "Hope is the thing with feathers" by Emily Dickinson.Hope is the thing with feathersThat perches in the soul,And sings the tune without the words,And never stops at all,And sweetest in the gale is heard;And sore must be the stormThat could abash the little birdThat kept so many warm.I've heard it in the chillest land,And on the strangest sea;Yet, never, in extremity,It asked a crumb of me.Which is true about this poem? Select 3 options.This poem contains an extended metaphor.This poem is a tribute to a small bird.This poem directly compares unlike things.This poem compares a feeling to an animal.This poem uses similes to compare objects. How to make the solar oven using the following materials-pizza box-aluminium foil-mirror -hot glue-chopstick Why would a merchant trade both luxury goods and everyday items? A ratio can be expressed __ as a description, with a ___ , or as a ___. write a balanced equation for the process of photosynthesis 5. Which of the following pieces of evidence does the author most directly use to support his argument aboutthe king of Spain following the Inda method of highway construction?The Inca rulers constructed roads to help complete conquestsThe Inca rulers only had to command their officials to construct a highway, and it was completed quicklyThe Inca rulers clearly marked their kingdom with boundariesThe Inca rulers could acquire specialized tools to cut through mountains Byzantine women mainlya.stayed home and raised children.b.led independent lives.c.became well educated.d.were slaves. solve 3t 6 = t 2 45x15= and 45 divided by 15 Why do scientists' study and synthesize new transuranium elements in the laboratory? What is the geocentric model of the Solar System? The thought that the Sun is the center of the Solar System. The belief that the Moon is the center of the Solar System. The idea that the Earth is the center of the universe. The concept that the Sun and stars do not move, but the Earth is in constant movement. Help me (7th grade math) The molar mass of a gas is 56 grams. What is its density at STP in grams per liter?