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 A represent the
number of students in High School A int years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.

Answers

Answer 1

Answer:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Then [tex]S_A(t) = 850 + 35t[/tex] and [tex]S_B(t) = 700 + 60t[/tex].

After 6 years the number of students in both high schools would be the same.

Step-by-step explanation:

For High School A, let [tex]S_A(t)[/tex] denote the number of students after [tex]t[/tex] years. Define [tex]S_B(t)[/tex] analogously.

Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that [tex]S_A(t) = 850 + 35t[/tex].

Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that [tex]S_B(t) = 700 + 60t[/tex].

Setting the two equations equal to each other, we see that [tex]850+35t=700+60t\\850-700=60t-35t\\25t=150\\t=6[/tex]

So after 6 years the number of students in both high schools would be the same.

Related Questions

Help would be very much appreciated!! Graph the line that has a slope of − 1/3 and contains the point (3,−7)

Answers

Answer:

Point the point on the graph (3,-7) by find 3 on the x axis (horizontal line) and than going down -7 coordinates. and then start plotting points that are at a slope of 1/3 so you would go up 1 from the point (3,-7) and than go 3 right and then plot a point, and keep doing that to make a lot of points that create a straight line at the end when you connect them!

hope it helped!

Which is bigger 100 or 10%

Answers

Answer: 10%

Step-by-step explanation:

even tho 100 is a bigger number the amount of 10% is 10 times bigger than 100%

10% in number form is .1

soooooooo

100 is def bigger lel

Find the solution to the system of equations. y= 2x + 3 (-1, [?])

Answers

Answer:

(-1, 1)

Step-by-step explanation:

plug in -1 for x

y = 2(-1) + 3

y = -2 + 3

y = 1

(-1, 1)

Help ASAP Question:
The Department of Transportation's salt and sand mixing sheds are in the shape of a cone. One of the sheds measures 50 ft
high and 40 ft in diameter. What is the approximate volume of this shed? Use 3.14 for pi, Round to the nearest whole
number

Answers

Answer:

HI 56

Step-by-step explanation:

Simplify the following. Do not write multiplication signs in your answers.
a) p×q×q×r×r×q×q×r=
b) t×t×t×t×u×u×t×t×t×u×u=

Answers

Answer:

q⁴r³p

t⁷u⁴

Step-by-step explanation:

hope this is the answer

After eating dinner at a restaurant your bill was $56. You plan to leave a 20% tip. What will your total cost be? (Hint: find the tip amount first).
i need the answer soon!!

Answers

Answer: $67.20

Step-by-step explanation:

56 × 0.2 = 11.2

11.2 + 56 = $67.20

£1800 is invested for 3 years at 2% per year simple interest work out total interest

Answers

Answer:

£108

Step-by-step explanation:

the rule of the simple interest is:

I=PRT

P=£1800 R=0.02 T=3

I=1800×0.02×3

I=£108

Given X is midpoint of RS , MX =XS Prove Mx =RX

Answers

Answer:

Transitive Property

Step-by-step explanation:

Since X is the midpoint, it bisects the points RS. If MX=XS, and RS is the same as XS, then they are the same. This also follows the Transitive propety (if a=b and b=c, then a=c)

Helppppp pleaseeee due in 10 minutes

Answers

Answer:this was house ago but 68

Step-by-step explanation:

Answer:

the answer is 68

Step-by-step explanation:

BCMSCM-CA-SCIENCECRT

Answers

Answer:

Thanks Lol

Step-by-step explanation:

What is 4/6 x 6 as a mixed number?

Answers

Answer:

Step-by-step explanation:

4/6 x 6 can be thought of as 4/6 x 6/1.

When multiplying two fractions, multiply the numerator (top number) with the numerator and the denominator (bottom number) with the denominator.

So we have: (4x6) / (6x1)

Which can be simplified to: 24/6, or 4.

Let me know if this helps!

2) How much sales tax does Jaylen have to pay if the sales tax rate
is 8.875%? What is Jaylen's final price?

Answers

Answer:

The New York (NY) state sales tax rate is currently 4%. Depending on local municipalities, the total tax rate can be as high as 8.875%. Other, local-level tax rates in the state of New York are quite complex compared against local-level tax rates in other states.

Round 26.69 to the nearest hundredth

Answers

Answer:

26.70

Step-by-step explanation:

What is the solution to the system of equations graphed below?

Answers

Answer:

(2, -3)

Step-by-step explanation:

the intersection point is the solution.

Answer:

2,-3

Step-by-step explanation:

Because the other guy said so

Type the correct answer in the box. Use numerals Instead of words. If necessary, use / for the fraction bar. Find the missing number in this proportion.

[tex] \frac{10}{15} = \frac{?}{21} [/tex]

Answers

Answer:

for what?

Step-by-step explanation:

helllpppppppppppppppp mmeeeeeeeeeee

Answers

Hugh the same time as the first time in the future and the other is a great way to get the best out of the way and

bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 2 to 3. What percent of the blankets in the bin are blue?

Answers

Answer:

66.6667

2 out of 66.6667 is 3%

Step-by-step explanation:

2 out of what is 3%?

2 out of X is 3%

Equation: Y/X = P%

Solving our equation for X

X = Y/P%

X = 2/3%

Converting percent to decimal:

p = 3%/100 = 0.03

X = 2/0.03

X = 66.6667

Answer:

66.6667

2 out of 66.6667 is 3%

Step-by-step explanation:

2 out of what is 3%?

2 out of X is 3%

Equation: Y/X = P%

Solving our equation for X

X = Y/P%

X = 2/3%

Converting percent to decimal:

p = 3%/100 = 0.03

X = 2/0.03

X = 66.6667Answer:

Step-by-step explanation:

umm helpppppppppppppp

Answers

Answer:

Step-by-step explanation:

y= 2x +1 because

11= 2*5 +1

13 = 2*6 +1

21= 2*10 +1

so for x=8 will be n= 2*8+1 = 17

I haven't did my math for a month since brainly tutoring wasn't working. I need you guys help

Answers

Answer:

$2.50

Step-by-step explanation:

Answer:

$25 per ft2

Step-by-step explanation:

you have to calculate the area (20x8=160sq ft) and then get 4000/160 which is $25.

Can someone explain the steps on how to do this equation?
(Solving Systems of Linear Equations By Graphing)

Answers

Answer:

4,-5^5=5×+89+666+999+777

Solve the system of equations.
- 5y + 8x = -18
5y + 2x = 58
х=
y =

Answers

Answer:

x = 4 and y = 10

Step-by-step explanation:

-5y + 8x = -18

5y + 2x = 58

First you will want to get rid of y from both equations, so you add both equations together.

You will get 10x = 40, then subtract 10 from both sides and you get x = 4.

Now substitute x as 4 in any of the equations to get y.

-5y + 32 = -18

-5y = -50

y= 10

Answer:

x = 4

y = 10

SOMONE HELP PLSSSS IM SO CONFUSED

35.95+7.75%

Answers

Answer:

43.7

Step-by-step explanation:

please answer fast will mark brainliest

Evaluate r/2 + (7/8 - s)

when r=1 and s =1/2

OA) 7/8
OB)3/2
OC)15/8
OD)19/8

Answers

Answer:

option C is the correct one according to me

Answer:

7/8

Step-by-step explanation:

Yes

3w - 11 = 25
can someone answer this plz

Answers

Answer:

w = 12

Step-by-step explanation:

3w = 11 + 25

3w = 36

w = 12

Hope that helps!

if you’re solving for W, the answer would be 12.

you subtract 11 from both sides leaving you with 3w=36, then you would divide by 3 on each side to get the w alone, leaving you with w=12

Find the area of the triangle, please hurry and show your work

Answers

The area= (20x14)/2
So, 20 times 14, divided by 2.

Answer:

140 m^2

Step-by-step explanation:

area of triangle is (base X height)/2

so it would be (20 X 14)/2

which equals 140

4.
Jack sees gum on sale at the store. It says 12 packs of gum for $3.00. How much
is each pack of gum?
I

Answers

Answer:

12 packs of gum=$3.00

1packs of gum=$3.00/12=$0.25

A pet store has 8 cats. Here are their weights (in pounds).
6, 14, 5, 8, 11, 10, 5, 10
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.

Answers

Answer:

The mean is 8.6

Step-by-step explanation:

You want to add all of the weight together, then you want to divide that number by how many cats there were.

Please help due today

Answers

Answer: 80 ft²

Step-by-step explanation:

The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.

(6 + 10) * 0.5 * 10 = 80 (ft²)

Is (-3,2) a solution to the system of equations below ?

Answers

help me its 7 85 49 =482i23u23

6x + y = -1
y=-3x - 4

Answers

Answer:

x = 1, y = 7

Step-by-step explanation:

If y = -3x - 4, then

6x -3x -4 = 1

3x - 4 =-1

3x = 3

x = 1

If x = 1, then

y = -3*1 -4 = -3 -4 = -7

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