Answer:
It equals 0.14
Step-by-step explanation:
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
HELP! i can not figure this out! y=4x+1
Answer:
1
Step-by-step explanation:
g(n) = 4n +4
h(n) = n +5
Find (g- h) (9)
Answer:
3n-1
Step-by-step explanation:
(4n+4) - (n+5)
i sperate it to be
4n-n and 4-5
so
3n-1 should be it
Please answer this question shown in the picture! Thank you soooo much if you do! ;w;
Answer:
3.07 . 10^8.
Step-by-step explanation:
2.3 . 10^8 + 4.7 . 10^7
= 230,000,000 + 77,000,000
= 307,000,000
= 3.07 . 10^8.
1.4y+5-4.2-5y^2+z
It has something to do with combing like terms
Identify the number of terms, variable terms and constant terms in the following expression.
Answer:
Step-by-step explanation:
[tex]4y+5-4.2-5y^{2}+z[/tex]
constant terms: 5 and -4.2 equals 0.8
No matching variable terms.
[tex]-5y^{2} + 4y+z+0.8[/tex]
4 total terms
help me
the question about algebra
➡️do not inconsequential and must with and must be accompanied by steps for the process
thanks
9514 1404 393
Answer:
(x, y, z) = (8√7/105, 2√7/21, 4√7/35)
Step-by-step explanation:
The algebra is straightforward, if tedious.
We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...
√X = √(Y +a) +√(Z +a) . . . . [eq1]
√Y = √(Z +b) +√(X +b) . . . . [eq2]
√Z = √(X +c) +√(Y +c) . . . . [eq3]
__
As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.
The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.
X = Y +a + 2√((Y+a)(Z+a)) +Z +a
X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical
(X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again
X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2
Subtracting the right side gives ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]
Then the remaining equations are ...
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]
X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]
Subtracting [eq6] from [eq5] gives a relation between Y and Z:
-4bY +4cZ = 0
Z = bY/c . . . . [eq7]
Substituting this into [eq4], we have ...
X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0
X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]
Subtracting [eq5] from [eq4] gives a relation between X and Y:
-4aX +4bY = 0
Y = aX/b . . . . [eq9]
Substituting this into [eq8], we have ...
X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0
Dividing by X* gives a linear equation in X:
X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0
X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))
Substituting the above values for a, b, c, we have ...
X = 64/1575
x = √X = √(64/1575) = 8/(15√7)
Y = X(25/16)
y = x(5/4) = 2/(3√7)
Z = Y(36/25)
z = y(6/5) = 4/(5√7)
The solution is ...
x = 8√7/105 ≈ 0.201581y = 2√7/21 ≈ 0.251976z = 4√7/35 ≈ 0.302372_____
* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.
(2x+5+8)/x-2 there should be a remainder left, pls help
Answer: 13/2
Decimal answer 6.5
im sorry if it was wrong it was what I got
Step-by-step explanation:
PLEASE ANSWER!! TIME LIMITED!! Use the gfc and the distributive property to find the expression that is equivalent to 36 + 48
A. 6(6+8)
B. 4(9+12)
C. 12(3+4)
D. 2(18+24)
You buy a watch for $60. a. There is a 6% sales tax. What is your total cost for the watch? b. Your friend buys the same watch a month later. It is now sold at a discount of 15%. What is the new sale price? c. What is your friend's total cost for the watch including tax? Original Price Percent of Discount Sale Price is?
Elizabeth Martz
Answer:
A= 63.6$
B= 51$
C= 54.6
D= ??? (sorry)
Step-by-step explanation:
hope this helps!
The answers to each part is given below.
What is percentage?In mathematics →
a percentage is a number or ratio expressed as a fraction of 100.it is often denoted using the percent sign "%".Given is that you buy a watch for $60.
{a} -Total cost of watch -
{C} = ${60 + (6% of 60)}
{C} = ${60 + (6/100 x 60)}
{C} = $(60 + 3.6}
{C} = $63.6
{b} -New sale price -
{D} = 60 - (15% of 60)
{D} = 60 - (15/100 x 60)
{D} = 60 - 9
{D} = $51
{c} -Total cost of watch including tax -
{CT} = 51 + (6% of 51)
{CT} = 51 + 3.06
{CT} = 54.06
Therefore, the answers to each part is given above.
To solve more questions on percentage, visit the link below -
brainly.com/question/24159063
#SPJ2
Find 4+(−1 2/3). Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{7}{3}[/tex]
I hope this helps!
Answer:
2 1/3
Step-by-step explanation:
Can someone help me with this question
Answer:
c is the right one
Step-by-step explanation:
Please help me with these 5 questions
Answer:
4. 85
5. 23.9
The rest are correct
please help me asap
Use the slope-intercept form to graph the equation y=3/7x+3
Answer:
here you go
Step-by-step explanation:
Which equation is represented by the graph below?
Answer: 2/3 x +6
Step-by-step explanation:
slope is 2/3 and y intercept is 6
9/2 ÷ 3/4
Please help me
in the circle shown, AB is tangent to circle o at point and OC is a radius
Which relationship is true?
Answer:
A. [tex] \overline{OC} \perp \overline{AB} [/tex]
Step-by-step explanation:
According to tangent theorem, a tangent is formed when the radius of a circle is perpendicular to the line, meeting at a point around the circle, such that the tangent line would be perpendicular to the radius of the circle with a center.
Given that [tex] \overline{AB} [/tex] is a tangent of the circle O, at a point C, and [tex] \overline{OC} [/tex] is a radius, therefore, it follows that:
[tex] \overline{OC} \perp \overline{AB} [/tex].
This means the radius of the circle is perpendicular to the tangent formed at point C.
The water level in a reservoir is now 52 meters. If this was a 23% increase, what was the initial depth?
Answer:
40.04
Step-by-step explanation:
It was at 40.04 before the 23% increase. To find 23 % of 52 set it up as a inequality.
x/52 = 23/100
Cross multiply
52 * 23 = 1,196 100 * x =100x
Now solve for x.
100x /100 = 1,196/100 x = 11.96
Subtract answer from 52 to get answer
52 - 11.96 = 40.04
that is the question
Which of the following describe 4/8
Answer:
4/8 is one half.
Step-by-step explanation:
4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.
Therefore, you have 1/2.
Answer:
4/8=.5 or 1/2
Step-by-step explanation:
4/8 can be reduced to 1/2
Find the next term of the given sequence. 1.31, 2.54, 3.77, ...
4.90
5.00
5.10
Answer:
5.00
Step-by-step explanation:
The next model of a sports car will cost 14.1% less than the current model. The current model costs $55,000 . How much will the price decrease in dollars? What will be the price of the next model?
Answer:
$3900.71 is the amount of money subtracted from the next model
51099.29 is the cost of the second model
Step-by-step explanation:
As you can see I NEED HELP RIGHT NOW!
Answer:
Ten over two would be at the very right side of this number line. It would be located at the number 5. Negative nine over two would be located two segment or lines after negative five.
Step-by-step explanation:
Ten over two would come out to a positive and whole number of five. Negative nine over ten comes out so negative four wholes and one half. So this gets located two segments after negative five because it is not fully negative five but it is negative four and one half. I got these whole numbers by simplifying the numbers that we started off with. Hope you have an amazing day and do well on your assignments.
-Vizion
Helpp!
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table
| city | cost ($) | Tax rate |
| A | 250 | 12.5% |
| B | 215 | 14.75% |
What is the difference in cost between the two cities for a weekend trip? Round to nearest cent
Answer:
$34.54Step-by-step explanation:
city A
$250 x 1.125 $281.25city B
$215 x 1.1475 $246.713difference between the two cities = $281.25 - $246.713
= $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
Shamir is trying to decide between two cities to travel to for a weekend trip. The prices for a hotel room for two nights and the hotel tax rate are listed in the table.
City Cost ($) Tax rate
A $250 12.50%
B $215 14.75%
Then the difference in cost between the two cities for a weekend trip will be given as,
⇒ $250 × 1.1250 - $215 × 1.1475
⇒ $281.25 - $246.71
⇒ $34.54
The difference in cost between the two cities for a weekend trip will be $34.54.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Plz help with the math question
Answer:
the answer is 20
what is the Symmetric property
Answer:
The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .
Step-by-step explanation: you couldnt have looked it up on ggle?...haha -_-'
Graph the following inequality:
Answer: the intercept is love , the slope is you , dotted or solid is <3
Step-by-step explanation:
Which of the following quotients are negative? Check all that apply.
2.2 ÷ 9.5
–0.5 ÷ 0.021
–1.3 ÷ –54.321
0.4 ÷ –0.4
Answer:
b and d
Step-by-step explanation: i did the assignment
A pancake mix requires 5 cups of flour for every 10 pancakes. How much flour is used per pancake?
So you have 5 cups of flour for 10 pancakes so what you want to do is just divide 10 by 5 and you get your answer of 2 :)
Luis bought stock at $63.30. The next day, the price increased $12.80. This new price changed by −6 3/4% the following day. What was the final stock price, rounded to the nearest cent? Is your answer reasonable? Complete the explanation.