7) The principal at a high school is planning a concert to raise money for the music programs. He determines
the profit p from ticket sales depends on the price of a ticket according to the equation
p = -200t2 + 3600t - 6400. All amounts are in dollars. If the goal is to raise $8500, what is the smallest
amount the school should charge for a ticket to the concert?

Answers

Answer 1

Answer:

The smallest amout that the school should charge is $4.70.

Step-by-step explanation:

p = -200t2 + 3600t - 6400

p = -200 x 4.7 x 2 + 3600 x 4.7 - 6400

p = -1880 + 16920 - 6400

p = 15120 - 6400

p = 8720

Answer 2

Answer: 6, 45 $

Step-by-step explanation:

[tex]\displaystyle -200t^2+3600t-6400=8500 \ \ |\div100\\\\ -2t^2+36t-64-85 =0 \ \ |\cdot (-1) \\\\ 2t^2-36t+149=0 \\\\ \rm D=36^2-4\cdot2\cdot 149=104 \\\\ x_1=\frac{36+2\sqrt{26} }{4} \approx11,54 \\\\\\ x_2=\frac{36-2\sqrt{26} }{4} \approx 6,45 \\\\ x_2<x_1 \\\\ Then :\\\\ Answer : 6,45 \$[/tex]


Related Questions

I Need Help! but please take your time to get the correct answer

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Sal can make 10 bracelets

find the sum of all multiples of 6 between 1 and 100.​

Answers

Answer:

6 12 18 24 30 36 42 48 54 60 66 72 78 84 90 96

Step-by-step explanation:

2 divided by 4/5 please help it is due it two minutes please helppppp

Answers

Answer: 25/4

Step-by-step explanation:

2 / 4/5 = 2*5/4 = 25/4

To divide fractions, multiply by the reciprocal of the fraction (flip the numerator and denominator, basically)

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

[tex]2\div \frac{4}{5} =\frac{2}{1}\div \frac{4}{5} =\frac{2}{1}\times \frac{5}{4} =\frac{5}{2}[/tex]

Hope I helped you!

A cube shaped box has a volume of 1 cube. Qhst is the area of one of its faces?

Answers

1 meter

Step by step explanation :

1m × 1m = 1m²

In each bouquet of flowers, there are 2 roses and 5 white carnations. Complete the table to find how many roses and carnations there are in 4 bouquets of flowers.

Answers

Answer:

28roses 70carnations

Step-by-step explanation:

4+6+8+10=28

10+15+20+25=70

Maybe i think

What is 8 times larger than 3

Answers

8 x 3 = 24 for should be 24

Only because 8 times larger than three seems like a multiplication problem..

I hope this helps if it is correct!

Answer:

(8+1) x 3 = 27

Step-by-step explanation:

this is correct rather than 8 x 3 = 24 because both sides of 8x3=24 are equal rather than the sum being greater than the statement.

Which of the following statements describe how to find the measure of EC?

Answers

Answer:

c

Step-by-step explanation:

by Pythagorean theorem

The correct statement to find the measure of EC is: Create a proportion with the legs of the triangles where segment BC is the same measure as segment AB. Add the length of segments BC and BE to find the length of segment EC.

Since BE is parallel to AD, triangles ADC and BEC are similar by the Alternate Interior Angles Theorem. Therefore, the ratio of corresponding sides of these triangles is equal:

AD / BC = DC / EC

Since AD = 4√138 m and BC = AB = 6√3 m, we have:

4√138 / 6√3 = DC / EC

Simplifying:

2√3 / 3 = DC / EC

Now, we know DC = BE = √138 m. Let's substitute that value:

2√3 / 3 = √138 / EC

Now, solve for EC:

EC = (√138 * 3) / (2√3)

EC = 3/2 * √(138/3)

EC = 3/2 * √46

Thus, the measure of EC is 3/2 * √46 m. The correct statement provided earlier explains the process to find this value.

To know more about proportion, refer here:

https://brainly.com/question/15073068

#SPJ2

Evaluate - 4/8 ./. 8 2/3

Answers

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

Please help very important!!!

Answers

Answer:

its letter A E D C

Step-by-step explanation:

correct me im wrong

Which name does not apply to the figure?

Answers

Answer:

rhombus i think

Step-by-step explanation:

what percent is represented by the grid?

Answers

Answer:

I think the answer is 90% please if the answer is right give me brilliant please.

Given the functions: f (x) = 2x to the 2nd power and
s (x) = 2 (x-3) What is the value of f(2) + s(-1)? ​

Answers

Answer:

0

Step-by-step explanation:

f(x)=2x²

s(x)=2(x-3)

Plugging in the numbers, we get:

f(2)= 2 * (2)²

f(2)= 2*4

f(2)= 8

s(-1)= 2*(-1-3)

s(-1)= 2*(-4)

s(-1)= -8

f(2) + s(-1) = 8 - 8 = 0

i need help on this equation.​

Answers

Answer:

x

Step-by-step explanation:

Could you show me the drop boxes?

line j passes through the coordinate points (4,1) and (-3,_6).what is the y-intercept of the equation that is parallel; to line j and passes through the point,(7,1)

Answers

Answer:  y-intercept is -6

Step-by-step explanation:  Calculate the slope of the line between the two given points:

Rise/Run = slope, m in the standard form of  a straight line:  y=mx+b, with b the y-intercept (the value of y when x=0).

Rise = 1 - (-6) = 7

Run = 4 - (-3) = 7

Slope = Rise/Run, 7/7, or 1

y=mx+b

y = 1x+ b

Find b by entering one of the two given points.  I'll pick (4,1).

y = 1x+ b

What's important now is the next step.  The equation "that is parallel" must have the same slope as the reference equation, 1 in this case.

[If, out of curiosity, you want the full equation of the reference line, we can find b in this way:

Enter one of the two given points and solve for b.  I'll pick (4,1):

y = 1x+ b

1 = 1*(4)+ b

b = -3

y = 1x - 3 is the first equation.]

All we really needed from the first, or reference, equation is the slope, 1 in this case.  Parallel lines have the same slope, so we want an equation in the form:

y=1x+b

This equation will be parallel, regardless of the value of b.  But we want it to go through a specific point, (7,1).  So use that point and solve for b:

y=1x+b

1=1*7+b

b=-6

The equation is y=1x-6

20. At a track meet, teams get points for placing in the top 6 of each event. 1" place = 10 pts, 2nd place 8 pts, 30 = 6 pts, 4 = 4 pts, 5* = 2 pts, and 6h - 1 pt. At the last trackmeet, El Dorado scored 188 pts off of 38 scoring events. The number of 1 place finishes was equal to the number of 4 place finishes. The number of 2nd place finishes was half as many as the number of 3d place finishes. The number of 5 places finishes was equal to the sum of the number of 1" and 2nd place finishes. The number of 2nd place finishes was equal to the number of 6 place finishes. How many of each place did El Dorado have?​

Answers

Answer:

I feel like this question would be easier when given a few starting values. I'm sorry man but I've been sitting here for 30 minutes trying to figure this out.

Step-by-step explanation:

HELP ASAP PLEASE 10 POINTS
What is the equation in point slope form of the line that passes through the point ( 2 , -4 ) and has a slope of 4?

Answers

Answer:

y + 4 = 4(x - 2)

Step-by-step explanation:

Point slope form: y - y1 = m(x - x1)

Where m = slope and (x1 , x2) = any given point.

We are given that the equation has a slope of 4 and passes through the point (2,-4)

So m = 4 and (x1,y2) = (2,-4)

We then plug in these values into the point slope form equation to get the answer.

y - y1 = m(x - x1)

m = 4 and (x1,y1) = (2,-4)

plug in values

y - (-4) = 4(x-2)

remove parenthesis on "-4" and change sign because the two negative signs cancel out and change into a positive sign

We end up with y + 4 = 4(x-2)

A number greater than 50 that has exactly 2 factors...
fata

Answers

Answer:

10 or 25

Step-by-step explanation:

25 is a factor of 50

Which is greater? 650% or 6.5

Answers

Answer:

The greater answer is 650%

The number of girls in a school is three times the number of boys. Express it in ratio.​

Answers

Step-by-step explanation:

Let,

The number of boys be = x

So,

Number of the girls = 3 × x

= 3x

Therefore,

Ratio of number of girls to number of boys in school will be,

[tex] = \frac{number \: of \: girls \: in \: school}{number \: of \: boys \: in \: school} [/tex]

[Putting the number of boys and girls]

[tex] = \frac{3x}{x} [/tex]

[On cancelation of x]

[tex] = \frac{3}{1} [/tex]

[In ratio]

= 3:1 (Ans)

Given the two triangles are similar, what is the value of s? (DO NOT round your answer.)

Answers

Answer:

the value of s is 7.5 ...............

Answer:

s=7.5

Step-by-step explanation:

[tex]\frac{s}{6}=\frac{5}{4}[/tex]

[tex]s=6(\frac{5}{4})=\frac{30}{4} =7.5[/tex]

I hope this help you

find the zeros of the polynomial equation x⁴+2x³-13x²-14x+24=0​

Answers

Answer:×¹ = -4, ײ = -2, ׳ = 1, ×⁴ = 3

Mark me as a Brainliest

Step-by-step explanation:

Hope this helps :)

What is the quotient of 3.55 x 106 and 7.1 x 102 expressed in scientific notation?
PLEASE HELP THIS IS FOR A TEST

Answers

Answer:

[tex]5\times10^3[/tex]

Step-by-step explanation:

[tex]3.55\times10^6 \div 7.1 \times 10^2[/tex]

Exponents are positive:

[tex]3.5.5.0.0.0.0. = 3550000[/tex]

[tex]7.1.0.=710[/tex]

[tex]3550000 \div 710 = 5000[/tex]

Convert back into scientific notation:

[tex]5000 = 5 \times 10^3[/tex]

[tex]= 5 \times10^3[/tex]

Hope this helps.

Answer: 5 x 10^3

Step-by-step explanation:

-
Tyrese says that 4(3x - 2) = 4x - 8.
Explain why his answer is not correct.

Answers

You have to multiply everything inside the brackets by 4, including 3x so (4*3)x = 12x

So the correct answer is 12x - 8

Write 4 as a product of two primes.

Answers

Answer:

the four is product of -

2×2= 4

2 is a prime number.

it this only prime number which product is 4

Step-by-step explanation:

Find the value of each variable.
(5x)"
5y + 11)
(4y - 10)

Answers

Answer:

The answer is 100xy^2-30xy-550x

Step-by-step explanation:

( ^ ) means exponent

100 POINTS IF YOU CAN SOLVE

solve using quadratic formula and include steps

2x^2 + 6x - 3 = 0

Answers

Answer:

x = (-3+√15)/2 or, x = (-3-√15)/2

Step-by-step explanation:

2x²+6x-3=0

Standard quadratic formula,

ax²+bx+c = 0

where,

x =(-b±[tex]\sqrt{b^{2}-4ac }[/tex])/2a       ...............................(i)

Here,

a = 2

b = 6

c = -3

Putting the values in equation(i), we get,

x = (-6±[tex]\sqrt{6^{2} -4.2.(-3)}[/tex])/2.2

=(-6 ± √60)/4

=(-6 ± 2√15)/4

= (-3 ± √15)/2

Therefore, x = (-3+√15)/2 or x = (-3-√15)/2 :)

what's the slope (3,-1) and (-2,5)

Answers

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 1 ) and (x₂, y₂ ) = (- 2, 5 )

m = [tex]\frac{5-(-1)}{-2-3}[/tex] = [tex]\frac{5+1}{-5}[/tex] = [tex]\frac{6}{-5}[/tex] = - [tex]\frac{6}{5}[/tex]

Decide if the function is an exponential growth function or exponential decay function, and describe its end behavior using

limits.

Y=(1/6) ^-x

Answers

Answer:

exponential decay

Step-by-step explanation:

a value is less than 1 but greater than 0, making it decay.

Find the value of x so that the function has the given value.

Answers

Answer:

x = 10

Step-by-step explanation:

Given h(x) = 2x - 14 and h(x) = 6, then equating

2x - 14 = 6 ( add 14 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

what are 4 solutions to the linear equation: 4x-3y=12?

Answers

Answer:

[tex](0;-4) (3,0); (6,4); (9,8)[/tex]

Step-by-step explanation:

You will end up with ordered pairs. the way to find them is to assign convenient values to either x OR y, and find the remaining ones. by "convenient" i would recommend having either equal to zero, and then playing with coefficients so that something else goes to "convenient" numbers - since I'm lazy and I hate typing fractions in here.

[tex]x= 0 \rightarrow 4(0) -3y=12 \rightarrow y=-4;\\y=0 \rightarrow 4x -3(0) = 12 \rightarrow x=3;\\x=6 \rightarrow 4(6)-3y=12 \rightarrow -3y=-12 \rightarrow y=4\\y= 8 \rightarrow 4x-(3)(8)=12\rightarrow 4x=36 \rightarrow x=9[/tex]

How did I choose 6 and 8? Mostly practice and a bit of good eye. 12 at the RHS is 4 times 3, and the LHS is 4 times something, minus 3 times something else, so it was a good bet that picking multiples of the other something would cancel out.

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