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

The expression -7y is a

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Constant

Variable​

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Answer:

in -7y y is variable and -7 is Constant

Step-by-step explanation:

Constant: A number that cannot change its value. In the expression 2x+4y−9 , the term 9 is a constant. Like Terms: Terms that contain the same variables such as 2m , 6m or 3xy and 7xy

variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set.

what is 0.4 repeting as afraction

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Answer:

2/5

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

When you go to do a repeating decimal, put whatever repeats over 9. For example lets say we want .49494949 repeating it would be 49/99

however in this case we want 4 to repeat so it would be 4/9.

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x= 4 and y=36 is the answer

The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.

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Answer:

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Step-by-step explanation:

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May I have brainliest please? :)

Answer:

I'm American and our system sucks but 1 mile is equal to 5280 feet

Can somebody plz answer both questions! only if u done it before thanks!

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Answer:

48% is A and since i like quarters more than nickels and dimes its c for 30

Step-by-step explanation: Because I said so.

Answer:

To calculate the average you must add the percentages up and divide by the number of percentages. So, 52+28+34+95+16+63=288/6=48. The percentage is 48%.

For the second questions you take 100 divide by 3 since there are 3 coins and you get an 33.3%. But, since you can't have 0.3 of a coin. So, since you started with a nickel, you would end with a nickel giving you a percentage of 34% and the dimes and quarters a percentage of 33% each.

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Range: ____

Answers

Domain is negative infinity to positive infinity or all real numbers

Range is 140 because it would be a straight line

a rental car company charges a customer $60 plus $0.32 per mile. write the equation that best describes the relationship between the cost, y, of renting the car and the number of miles, x, the car was driven​

Answers

Answer:

0.32x + 60= y

Step-by-step explanation:

Starting from the same place a plane took 1 hr longer to fly 705 mi to Atlanta, than to fly 470 mi to New Orleans. If the plane flew at the same rate for the entire trip, what was the flying time for the shorter leg? a. 1 2 hr c. 1 1 2 hrs b. 1hr d. 2 hrs

Answers

Answer: d. 2 hrs

Step-by-step explanation:

Let x = Time taken(in hours) to fly 470 mi to New Orleans. (Shorter leg)

Then Time taken to fly 705 mi to Atlanta= x+1 (longer leg)

Since  the plane flew at the same rate for the entire trip.

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[tex]\Rightarrow\ \dfrac{705}{x+1}=\dfrac{470}{x}\ \ \ \ \ \ \ [\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}]\\\\\Rightarrow\ 705x=470(x+1)\\\\\Rightarrow\ 705x=470x+470\\\\\Rightarrow\ 705x-470x=470 \\\\\Rightarrow\ 235x=470\\\\\Rightarrow\ x=\dfrac{470}{235} \\\\\Rightarrow\ x=2[/tex]

hence, the flying time for the shorter leg = 2 hours

So (d) is the correct option.

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What are the coordinates of the endpoints of the midsegment for △JKL that is parallel to KL¯¯¯¯¯?

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Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

where is plymoth rock

Answers

Answer:

If u mean plymouth rock then the answer is

Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.

Step-by-step explanation:

A number x is greater than 3.

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Answer:

4,5,6,7,8,9..........................

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Answer:

5.35

Step-by-step explanation:

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Heather has a bag with 3 marbles, 7 tennis balls, 3 apples, and 3 books. What is the ratio of books to tennis balls?
A.
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B.
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C.
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Answers

Answer:

B

Step-by-step explanation:

I hope it's correct and I'm thinking it is,. Sorry if it's not

Answer:

I think A

Step-by-step explanation:

3/7. Or 3:7

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Answers

Total slices required for children,

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Answer:

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Step-by-step explanation:

solved by substitution.

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Answers

Answer:

A and D

Step-by-step explanation:

One side-base right triangle and one angle-based right triangle.

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Answers

Answer:

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Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

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Step-by-step explanation:

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6. Solve [tex]\frac{6}{2}[/tex]

ASAP WILL MARK BRAINIEST DUE IN 5!!!
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Answers

Answer: is 1/2

Step-by-step explanation:

Can someone help pls

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See the attchment because if i typed it, it would be confusing
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Answers

Answer:

ayy

Step-by-step explanation:

sup

Answer:

12 4/5

Step-by-step explanation:

you can use just mark x as half of the leg of the trapezoid and then use pythagorean theorem to get x^2+8^2+10^2+8^2=(10+x)^2 and then solve

I WILL GIVE BRAINLIEST
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Answer:

The answer would be 12, I am very sure. :)

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Answer:

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Step-by-step explanation:

you are easydsssssdfewatg3

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The table shows data collected from 14 people.

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r=

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Answer:

i need the answer ;(

Step-by-step explanation:

-3y-2=7 what is the value of y

Answers

Answer:

y = -3

Step-by-step explanation:

Add 2 to each side to isolate the -3y. Doing this leaves you with -3y=9. You then divide each side leaving you with y = -3

Answer:

The equation has one solution at which y = -3.

Step-by-step explanation:

To find the value of y, we need to isolate it from the rest of the equation.

Add 2 to both sides of the equation.Divide by -3 on both sides of the equation.Simplify the equation if necessary.

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We can check to make sure that y = -3 by substitution.

[tex]\displaystyle{-3(-3)-2 = 7}\\\\9-2=7\\\\7= 7 \ \checkmark[/tex]

Because we got a true statement, we can determine that y = -3.

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Answers

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

Every week, Hector’s 20 hours earns $210.00. He earns a constant amount of money per hour.

Part B
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Answer: 20 weeks in 1 week

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Step-by-step explanation:

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There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?

Answers

Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]

do yall know this one? ​

Answers

Answer:

8x

Step-by-step explanation:

it's the slope

y = 8x or y = 8/1x

Do not place /1.

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