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


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Answer:

Idrk because you need to tell me the Hours

Step-by-step explanation:

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

Answer:

=51

Step-by-step explanation:

10w - 7x

10(10) - 7(7)

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=51

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Then subtract:
100-49=51
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Answer:

the schedule and the algebraic expression

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Answer:

x = 13

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Step-by-step explanation:

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

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(2x24
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Answers

Answer:

x=39

Step-by-step explanation:

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

hence

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and

x will be 39

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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

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Answers

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Answers

Answer:

The largest third side would be 26 meters.

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Step-by-step explanation:

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

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So, the largest third side would be 26 meters.

Option B is correct.

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Answers

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

Step-by-step explanation:

What is the value of 2/11 divided by 3/11? *
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Answers

Answer:

the answer is 2/3

Step-by-step explanation:

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

Answer:

Exact Form:

2 /3

Decimal Form:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Find the GCF of 24, 48, and 480.

Answers

Answer:

The common factors for  24 , 48 , 480 are

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

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Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Prime factorization.

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

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Answers

Answer:

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Answer:

Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answer:

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Step-by-step explanation:

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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.

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

Compute the equation to express this situation as follows:

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Incomplete question.  

what is the product of

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Answers

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you distribute.

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

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

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Answer:

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Answers

Answer:

B. ($25n)

Step-by-step explanation:

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

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Hi there can you solve this math problem?
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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!

85 ÷5 jejeisisossjjxjsjsjskkskxkxkxo

Answers

Answer:

17

Step-by-step explanation:

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]

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.

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