A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 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 the interval of years, t,t, for which High School A will have more students than High School B.

Answers

Answer 1

Answer:

40

Step-by-step explanation:


Related Questions

What is the equation of the line that passes through the point ( 4 , 4 ) and has a slope of 0

Answers

Answer:

y=4

Step-by-step explanation:

x1=4,y1=4,m=0

Equation of a line: y-y1=m(x-x1)

y-4=0(x-4)

y-4=0

y=4

Charisse collects antique salt and pepper shakers. The value of her cactus salt and pepper shakers is shown (56.28$). The value of these salt and pepper is expected to change by an average of -2 2 over 5% per year. What is the value of the salt and pepper shakers projected to be in two years? | Can I get explanation too thanks!

Answers

Answer:

  $53.61

Step-by-step explanation:

It looks like the rate of change is supposed to be -2 2/5% = -2.4% per year. That means the "growth factor" is ...

  growth factor = 1 + growth rate

  growth factor = 1 -2.4% = 1 -0.024 = 0.976

Each year, Charisse's cactus salt and pepper shakers will have their value multiplied by this factor. After 2 years, their value will be ...

  ($56.28)(0.976)(0.976) = $56.28×0.976^2 ≈ $53.61

The value is projected to be $53.61 in 2 years.

An equivalent expression for16x-8

Answers

Answer:

8(2x-1)

Step-by-step explanation:

16x-8=8(2x-1)

Solve and show your work for each question...

Answers

[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]

PLEASE HELP ME GUYS!!

Answers

this is your answer hope it's helpful for you


Solve the system by graphing.
Y=2x+10
y=x+6
First graph each line, then place a dot on the point that represents the solution to the system

Answers

Answer:

(-4,2)

Step-by-step explanation:

See attachment

Functions f (solid) and g (dashed) are graphed.



What is the equation of g in terms of f?

A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)

Answers

B got it right on a quiz

A total of 379 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

A total of 225 tickets were sold to adults for the school play.

How many tickets were sold to adults?

In this problem we see the case of 379 tickets being sold to adults and students and there was 71 tickets more sold to adults. This situation is defined by following equations:

x + y = 379

x + 71 = y

Where:

x - Tickets sold to students.y - Tickets sold to adults.

Now we proceed to solve the system of linear equations:

x + (x + 71) = 379

2 · x = 308

x = 154

And the number of tickets sold to adults is:

y = x + 71

y = 154 + 71

y = 225

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An investor invested a total of ​$3,500 in two mutual funds. One fund earned a 8​% profit while the other earned a 5​% profit. If the​ investor's total profit was ​$223​, how much was invested in each mutual​ fund?

Answers

Answer:

i found this so srry if its wrong i saw no one answering this so i wanna help

Step-by-step explanation:

so,  x*(7/100) + (3500 - x)*(4/100) = 197

=> 3x + 14000 = 19700

=> 3x = 19700 - 14000

=> x = 5700/3 = 1900

what is the answer -v+91=261

Answers

Answer:

v = -170

Step-by-step explanation:

-v + 91 = 261

(-v + 91) - 91 = 261 - 91

-v = 170

-v / -1 = 170 / -1

v = -170

Step-by-step explanation:

(-v) +91 = 261

(-v) =91=261

(-v)=261-91

(-v)=170

v= - 170 (change the signs)

At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?

Answers

Answer:

$24.48

Step-by-step explanation:

2.99+9.99+11.50+7.99/20/10/7 = $24.48

Amir wants to create a 4-digit password for his phone. He wants to choose 4 different numbers between 1 and 5 inclusive. Calculate the total number of 4-digit passwords that Amir can create.​

Answers

Answer:

625

Step-by-step explanation:

Let the digits be:

abcd

Each of them include numbers 1 through 5.

For each digit there are 5 options.

Total number of combinations is:

5*5*5*5 = 625
The right answer is 120. Let abcd represent the numbers. The number have to be different meaning no repeats so that would mean:
a has 5 choices of numbers
b had 4
c has 3
d has 2
So the equation would be 5x4x3x2 = 120

i need help please!!!!

Answers

Answer:

not parallel.

Step-by-step explanation:

1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));

2) slope of AB: (7-3)/(2-1)=4;

3) slope of CD: (5-2)/(7-6)=3;

4) finally, AB∦CD (4≠3).

Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
A. 40-d
B. 40+ d
C. 40xd
D. 40/d

Answers

Answer:

40-d

Step-by-step explanation:

Enter <, > or = to make the statement true. 17.001 [?] 17.0001​

Answers

Answer:

17.001>17.0001

Answer:

17.001>17.0001

Step-by-step explanation:

17.001 is greater than 17.0001


The price tag on the remote-controlled helicopter said $79. If Jimmy buys the
helicopter, he'll also have to pay 8% sales tax. How much does the helicopter cost with
tar?

Answers

Step-by-step explanation:

79×0.08 = 6.32 (tax)

79(price) + 6.32(tax) = 85.32

ARAT TIETE (Simplify): V125 - V45+ V5​

Answers

Answer:

3[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{125}[/tex]

= [tex]\sqrt{25(5)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]

= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{5}[/tex]

Find Y

LOOK AT THE PICTURE

Answers

Answer:

D

Step-by-step explanation:

[tex]y = 3\sqrt{2}[/tex]

Just use pythagorean theorem, very simple.

c = [tex]\sqrt{a^{2}+b^{2} }[/tex]

In your case c is y

your answer calculated will come out to 4.24 but put in terms your teacher wants will be

[tex]y = 3\sqrt{2}[/tex]

Find y
Find m Find m

Answers

Answer:

y= -21; m∠MNO=40°.

Step-by-step explanation:

1) m∠MON+m∠MNO=90°;

2) -3y-13°-2y-2°=90°;

5y=-105°; ⇒ y= -21;

3) m∠MNO=-2y-2°=42°-2°=40°.

Finding gradients and intercepts
Write down the gradient and intercept of these lines:
Q1.
Y = 10x + 6

gradient =
intercept =

Q2.
y = 2 - 2x

gradient =
intercept=

Answers

Answer:

gradient 10, intercept 6gradient -2, intercept 2

Step-by-step explanation:

The "gradient" is the coefficient of x. The "intercept" is the constant.

__

Q1

gradient: 10

intercept: 6

__

Q2

gradient: -2

intercept: 2

Q1.

For the line equation Y = 10x + 6:

The gradient is the coefficient of x, which is 10.

The intercept is the constant term, which is 6.

Q2.

For the line equation y = 2 - 2x:

The gradient is the coefficient of x, which is -2.

The intercept is the constant term, which is 2.

Learn more about line equation here:

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What is the value of |–3.25| ?

Answers

Answer:

3.25

Step-by-step explanation:

Rule: An absolute value will always be positive.

=> Referring to the rule, the absolute value of |–3.25| is 3.25.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Noah and his dad went out for lunch. Their meal cost $32. The sales tax rate is 8%. Noahś dad left a 15% tip on the $32. How much did they pay in total

Answers

Answer:

$39.36

Step-by-step explanation:

Can find how much the sales tax cost:

32 x 0.08 = $2.56

Can also find out how much he tipped:

32 x 0. 15 = $4.80

Total = $32 + sales tax + tip

Total = $32 + $2.56 + $4.80

Total = $39.36

Answer:

$39.36 in total

Step-by-step explanation:

32×0.08= 2.56

32×0.15= 4.8

4.8+2.56= 7.36

32+7.36=39.36

Sarafina Ltd is considering two new investment projects, project A and project B. Each project would require an immediate cash outlay of Ksh. 10 million. The company expects to have available enough resources to undertake only one of the projects.The company management believe that return from existing activities and from the new projects will depend on economic environment that will prevail during the coming year. The estimated returns and probabilities of the possible economic environments are as follows:Economic environmentGoodFairBadProbability0.30.40.3Return from project A (Ksh "000")12,50012,5009,500Return from Project B (Ksh "000")10,00011,75013,000Aggregate return from existing portfolio of projects. (Ksh "000")90,000120,000130,000The company has a current market value of Ksh. 100 million. The management believe that the risks and returns per shilling of market value of their existing activities are similar to those of the stock market as a whole, including their dependence on whichever economic environment prevails. The return on treasury bills is 8% per annum.Using CAPM, advise the management of the company on which of the two projects should be accepted.

Answers

i’m gonna be honest. i am not gonna read that but the answer is -98

i need help with this!!

Answers

Answer:

Kim is younger than 6 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

Melody can cycle for 30 miles against the wind in the same amount of
time that is takes her to cycle 66 miles with the wind. If the speed of the
wind is 3 mph, what equation could be used to find Melody's speed
without any wind (x).

Answers

Answer:

15x/2*4

Step-by-step explanation:

Please help with this !

Answers

17+15+b = 180 so If you do 180-(15+17) =b
Well we know 15+17 is 32 so now you do 180-32 which equals 148 so b=148

Ms. Lopez wants to buy an ipod. The ticket price shows $225. But she only brought $146.50 to the store. What percent discount would she need so that the ipod sells at the exact amount she has in her pocket?

Answers

Answer: 65.11%

Step-by-step explanation:

A pair of shoes was purchased for $120. Since they were purchased, their price has increased by 15%. What is the new price? 5 points

Answers

Answer:

$138

Step-by-step explanation:

120 · 0.15 = 18

120 + 18 = 138

A study of the annual population of the red - winged blackbird in FT. Mill, South Carolina, shows the population incresing at a rate of 16%. If
the population starts at 150 blackbirds, then which of the following functions properly models the population B(t) as a function of time.
O a B(t) = 150(1.6)
Ob B(t) = 150(16)
Oc B(t) = 150(1.16)
Od B(t) = 150(.84)

Answers

The functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

Given the following

Initial population = 150 birds

If there is a 16% increase, the increment will be 0.16(150)

The population B(t) as a function of time will be expreessed as:

B(t) = 150(1+0.16)

B(t) = 150 (1.16)

Hence the functions that properly model the population B(t) as a function of time is B(t) = 150 (1.16)

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Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?

Answers

Answer:

12.76

Step-by-step explanation:

because 510.44 x 2.5%= 510.44 x 0.025= 12.76

hope this helps you guys have a great day to all of you guys

The finance charge would be the amount of $6.64 on Lauren's February statement.

What is the finance charge?

The finance charge is the multiplication of the average daily balance and the monthly periodic rate.

The finance charge = average daily balance ×  monthly periodic rate

The bill shows an average daily balance of  $510.44, and the monthly periodic rate is 1.3%.

The finance charge =  $510.44 x 1.3%.

The finance charge  = $6.635

Round the nearest to the hundredth,

The finance charge  = $6.64

Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.

Learn more about the finance charges here:

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