Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?
Queremos maximizar el precio de tal forma que los ingresos no disminuyan.
Ese maximo precio es: $14,040.6
Sabemos que actualmente el precio es:
p = $6,000
El número de clientes es:
C = 120
Actualmente los ingresos son el producto de esos dos números, es decir:
ingresos = $6,000*120 = $720,000
Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.
Entonces podemos escribir el número de clientes como una ecuación lineal.
C(p) = a*p + b
tal que tenemos dos puntos en esa linea:
($6,000, 120)
($6,700, 110)
La pendiente es:
[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]
Entonces tenemos:
C(p) = (-10/$700)*p + b
Sabemos que:
C($6,000) = 120 = (-10/$700)*$6,000 + b
120 = -85.71 + b
120 + 85.71 = b =
Entonces la ecuación lineal es:
C(p) = (-10/$700)*p + 205.71
Los ingresos serán dados por:
ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p
Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:
(-10/$700)*p^2 + 205.71*p = $720,000
Entonces debemos resolver la ecuación cuadratica:
(-10/$700)*p^2 + 205.71*p - $720,000 = 0.
Las soluciones son dadas por la formula de Bhaskara.
[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]
La solución de maximo valor es:
p = (-205.71 - 195.45)/(-20/$700) = $14,040.6
Sí quieres aprender más, puedes leer.
https://brainly.com/question/8926135
The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an expression to represent the cost for mailing a letter that is w ounces. Then find the cost for mailing a letter that is four ounces.
0.17 + 0.42w; $1.85
0.42 + 0.17w; $1.10
0.17 + 0.42w; $2.36
0.42 + 0.17w; $2.36
Correct answer gets brainiest
Answer:
[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]
PLEASE HELP - VERY EASY MATH AND EASY 18 POINTS.....
Suppose you have a choice to receive $100 per day or 1 cent on day one, 2 cents on day two, 4 cents to day 3 on so on...
a) In how many days will both options end up paying about the same amount in total?
Answer: JK ITS IMPOSSIBLE BOIIII yeah it is the pennies even with the 1 penny at the beginin dun work ive tried smashing calculator about this many times 2147483649 and it doesnt work out so yeah f
Answer: It's not possible
Step-by-step explanation:
100 POINTS FOR THE CORRECT ANSWER
(03.03 MC)
A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:
f(m) = 3(1.09)m
Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)
Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)
Answer:
I hope this helped. Look throught the pictures
Step-by-step explanation:
Answer:
Part A: 0<x<9
Part B: The y-intercept 3 represents how big the fish was when she first started her study.
Part C: The average rate of change from m=2 to m=8 is 2.09, and it represents the growth of the species of fish.
I don't know about Part C, but I hope this helps!
Using distributive property, factor out the GCF and rewrite 54 + 90
Answer:
144
Step-by-step explanation:
54+90=144
144-90=54
90+54=144
144-54=90
PLEASE HELP :(
Which order do these go in?
Will mark BRAINLEST
Answer:
1 - 5
2 - 3
3 - 8
4 - 1
5 - 2
6 - 7
7 - 4
8 - 6
Step-by-step explanation:
2x^3+128 factor polynomials
Answer:
2(x−4)(x^2+4x+16)
Step-by-step explanation:
2(x^3-4^3)
b=4
2(x-4) (x^2+x*4+4^2)
= 2(x-4) (x^2 +4x+ 16
Hope this helps :)
Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi
Answer: Taylor is 14 and Jessi is 13
Step-by-step explanation:
Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.
please help me with this sum
theres a thing called a calculator
Answer:
you didn't have calculate for this question
what percent of the bottle of orange juice is water?
___% water
Orange juice that is 100 % orange juice is usally 88 % water
Answer:
88 percent is water and the rest is apple juice
Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four stores she had spent $100, how much was she have spent at the last store based on her overall average?
A.$25
B.$30
C.$50
D.$70
Based on Janice average, she spent $50 at the last store.
Let a, b, c, d, e represent the money spent on the five stores respectively.
Since she spent an average of $30 at each store, hence:
(a + b + c + d + e) / 5 = 30
(a + b + c + d + e) = 150
She spent $100 on the first four stores, hence:
a + b + c + d = 100
(a + b + c + d + e) = 150
100 + e = 150
e = 50
Hence based on Janice average, she spent $50 at the last store.
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Can someone help me write my statistics paper?
Answer:
Sure what do you need?
Step-by-step explanation:
1.(154)10=(?)2
helpme! to solve it plz.
Answer:
I think its (10000110)2
Find the missing values in the ratio tables.
Answer:
tatlong Lugar na posibleng paglaruan ng luksong tinik
Sowy about all my questions b-b-but please help with another one?
Answer:
A
Step-by-step explanation:
count both sides divide by missing pieices
ANSWER LAST QUESTION PLZZZ
Step-by-step explanation:
what ask you ask you not ask any question please write your question please mark me brainlist
What is the Domain and range of y = 2 x - 11 + 2
Step-by-step explanation:
the domain is the set or range of valid values for x.
the range is the set or range of valid values for y (= f(x)).
if you did not miss anything in your problem statement, then I see a function
y = 2x - 11 + 2
no restrictions are defined.
so, domain and range are both the interval
(-infinity, +infinity).
notice the round brackets, as "infinity" is never a value and cannot be included in an interval.
now, if you missed a division sign and the function looks like
y = 2/x - 11 + 2
then we know, x must never be 0, as a division by 0 is undefined.
so, the domain in that case would be
-infinity < x < 0, 0 < x < +infinity
or short
x <> 0
the range would still be every possible value in
(-infinity, +infinity).
It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre
Answer:
I think 9 if im not correct i sincerely apologize
Why is 4 called a constant?
Answer:
because 4 is a fixed value. and it is not a variable.
The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.
This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
Answer:
b = 3.6
Step-by-step explanation:
Johnathan bought 1 3/4 pounds of
American cheese at the deli. He
used 5/6 of the cheese to make
sandwiches. How many
sandwiches can he make? Show
your work
Fill in the blanks please!!
Answer:
6,I can't help with the second one I wasn't good with that parallel lines
Step-by-step explanation:
Y2-Y1. So 3-9. 6
--------- - - -- = - - =6
X2-X1. 1-2. 1
if a=2,b=1 and c=1 than evalute ab+bc
Answer:
3
Step-by-step explanation:
2x1+1x1
Answer:3
Step-by-step explanation:
(2)(1)+(1)(1)
2+1
=3
A bank pays simple interest at the rate of 5% per annum on all deposits. Interest is credited to the account quarterly on March 31st, June 30th , September 30th and December 31st, based on the minimum quarterly balance for that period. If a person opens an account with a deposit of $ 40,000 on January 1st. They then make a withdrawal of $ 3,000 on 10th June. If there were no further transactions (deposits or withdrawals), how much interest will be credited to the account on December 31st.
There are tulips, daisies, and daffodils growing in a garden. There are 2 times as
many daisies as tulips and 3 times as many daffodils as tulips. If there are 12
daisies, how many total flowers are in the garden?
salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month
Step-by-step explanation:
z-score of X = 6150
[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]
z-score of X = 6350
[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]
P(X<6150) + P(X>6350)
=P(z<-0.4) + P(z>-0.4)
=0.3446+0.3446
=0.6892
Simplify: answer in the box
Answer:
I got 24x^2 over x^2+7x+10
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
표에 제시된 상품의 품목 및 2015 년도의 수량이 소비자물가지수를 계산하는 기준이
된다면 2015 년도의 소비자 물가지수를 100 이라고 할 때 2020 년도의 소비자물가지수는
얼마인가?
Answer:
wat? HWHAHWhhwhwhwhwwhwhw
Please show steps please
Answer:
x - 2, remainder -4
or
x - 2 + (-4)/(x + 6)
Step-by-step explanation:
x - 2
--------------------------------
x + 6 | x^2 + 4x - 16
- x^2 + 6x
-----------------------
-2x - 16
- -2x - 12
------------------
-4
Answer:
x - 2, remainder -4
or
x - 2 - 4/(x + 6)
Answer:
x - 2
Step-by-step explanation:
I uploaded a photo!