The profitability of the restaurant is when the function gives a value greater than 0. The franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Given that:
[tex]P(t) = t^4 - 9t^3 + 24t^2 - 20t[/tex]
To calculate the profit, we simply substitute the values of t in the above equation.
(a) 5 months
This means [tex]t =5[/tex]
So, we have:
[tex]P(5) = 5^4 - 9\times 5^3 + 24 \times 5^2 - 20 \times 5[/tex]
[tex]P(5) = 0[/tex]
(b) 3 months
This means that [tex]t=3[/tex]
So, we have:
[tex]P(3) = 3^4 - 9 \times 3^3 + 24 \times 3^2 - 20 \times 3[/tex]
[tex]P(3) = -6[/tex]
(c) 2 months
This means that [tex]t = 2[/tex]
So, we have:
[tex]P(2) = 2^4 - 9 \times 2^3 + 24 \times 2^2 - 20 \times 2[/tex]
[tex]P(2) = 0[/tex]
(d) 1 month
This means that [tex]t = 1[/tex]
So, we have:
[tex]P(1) = 1^4 - 9 \times 1^3 + 24 \times 1^2 - 20 \times 1[/tex]
[tex]P(1) = -4[/tex]
For the restaurant to make a profit, the equation has to give a positive value. Since none of the values of t gives a positive value for P(t).
Then, we can say the franchise does not make a profit after 5, 3, 2 or 1 month of opening.
Read more about functions at:
https://brainly.com/question/24314573
Things did not go quite as planned. You invested $21360, part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $, how much was invested at each rate? How much money was invested at 12% annual interest?
Answer:
1992
Step-by-step explanation:
Let x be the amount invested at 12%.
Then the rest amount is (21360-x) dollars.
The 12% stock earning is 0.12x dollars.
The rest amount loss is 0.05*(21360-x) dollars.
Your equation is
interest - loss = total interest, or
0.12x - 0.05*(21360-x) = 1992 dollars.
Simplify and solve for x.
Joshua spent 3/100 of the money he earned from mowing lawns on a gift for his mother.com what percent of his earning did Joshua spend?
Answer:
3%
How did I get it?
3/100 as a decimal is 3% (3%/100)
need the answer as soon as possible
Answer:
soln
Step-by-step explanation:
=21÷x-2s
=21÷7-2×9
=3-18
=-15
2 Why does it make sense to add 8 + 2 to make a ten and make new problem, 10 + 4?
Step-by-step explanation:
Hahahaha this is math.lol
determine the area and perimeter
Answer:
Area is the total surface covered by the shape and perimeter is the total length of the shape.
Find the constant C such that x ^ 3 - 3x + 5 <= C where x in[0,3] 18 23 14 17 21
Plug in maximum value of x (3) and see what you get. The maximum value of the expression when plugged in is C.
[tex]3^3-3\cdot3+5=C[/tex]
[tex]27-9+5=C\implies 23=C[/tex]
Now that means,
[tex]x^3-3x+5\leq 23[/tex] for any x in [tex][0,3][/tex]
Hope this helps :)
the perimeter of a rectangular field is 342 yards. if the width of the field is 77 yards, what is its length
Anyone know the answer to this?
Quick response
John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.
What was the new status of John's account at this point?
Answer:
210
Step-by-step explanation:-133-55-22=210
Define bisector of a line
Answer:
The line that divides something into two equal parts. You can bisect line segments, angles, and more.
Step-by-step explanation:
A bisector is what divides a line into two equal parts.
How many different sets of answers are possible on a true-false test that has 11
questions?
Cuál es el valor de la siguiente expresión?
(6 + 27) / (5 - 2)
Answer: 11
Step-by-step explanation:
6+27=33
33/3 = 11
A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet
Answer:
640 feet
Step-by-step explanation:
8 = 320
16 = 640
Answer:
640
Step-by-step explanation:
8-->16
320-->640
Please Help!!! Will give brainliest
Answer:
except of (g) all limits exist
Step-by-step explanation:
All the solutions are in the picture.
what is the population of nepal
16. Simplify: look at picture
please give detailed steps!!
Answer:
[tex] 2\sqrt{3} [/tex]
Step-by-step explanation:
1. Expand the expression
[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]
2. To multiply the fractions, multiply the numerators and denominators seperately
[tex] = \frac{6 \sqrt{3} }{ \sqrt{3} \sqrt{3} } [/tex]
3. Calculate the product : when a square root of an expression is multiplied by itself, the result is that expression.
[tex] \frac{6 \sqrt{3} }{3} [/tex]
4. Reduce the fraction with 3 and the solution is :
[tex] = 2 \sqrt{ 3} [/tex]
Point H is located at (-3,-2) on the coordnate plane. Point H'. What ordered pair describes the location of H'?
Answer:
You bought a
Step-by-step explanation:
The perimeter of a rectangle is 332cm and the width is 76cm. Find the rectangle’s length
Add -13 + 5. 8 -8 -18 18
Martina took a train to the bullfight. It traveled 544 km nonstop in 8.5 hours to get there. If the train moved at a steady speed, what was the rate of speed
Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
I want to know how to solve this.
Answer:
B
I just did it and got it right
How many kilograms of tin will be required to make 250 kg of an alloy, if the alloy must contain 81% copper, 14% tin and 5% lead?
Answer:
35
Step-by-step explanation:
all are obeying a constant ratio
copper 81tin 14⇒?lead 5total 100 ⇒250?=250*14/100=35What’s x = in this equation
Answer:
5m
Step-by-step explanation:
Applying Pythagoras theorem:
a² + b² = c² (where a is base length, b is the height and c is the hypotenuse of the right triangle)
3² + 4² = c²
c² = 9 + 16 = 25
c = x = [tex]\sqrt{25}[/tex] = 5
∴ x = 5m
Each byte contains 8 bits of information. Write an equation to represent the relationship between the number of packets of information and the number of bits. Be sure to define your variables.
Answer: 8b
Step-by-step explanation:
Equation:
Let b equal the number of bytes
byte = 8b
Adult tickets for a movie cost six dollars and children's tickets cost three dollars if two adults and three children go to the movies how much will they pay?
Write a numerical or algebraic expression for each verbal phrase
a continuous random variable is uniformly distributed in the interval a<X<b the Lower quartile is 5 and upper quartile is 9 find
a. the values of a and b
b. p(6<X<7)
c. the cumulative distributive function
راز
(a) X has a probabiliity density of
[tex]f_X(x) = \begin{cases}\dfrac1{b-a}&\text{if }a<x<b\\0&\text{otherwise}\end{cases}[/tex]
If the lower quartile is 5 and the upper quartile is 9, then
[tex]\displaystyle \int_a^5 f_X(x)\,\mathrm dx = 0.25 \text{ and } \int_9^b f_X(x)\,\mathrm dx = 0.25[/tex]
Computing the integrals gives the following system of equations:
[tex]\displaystyle \int_a^5\frac{\mathrm dx}{b-a} = \frac{5-a}{b-a} = 0.25 \\\\ \int_9^b \frac{\mathrm dx}{b-a} = \frac{b-9}{b-a} = 0.25[/tex]
5 - a = 0.25 (b - a) ==> 0.75a + 0.25b = 5 ==> 3a + b = 20
b - 9 = 0.25 (b - a) ==> 0.25a + 0.75b = 9 ==> a + 3b = 36
Eliminate a :
(3a + b) - 3 (a + 3b) = 20 - 3×36
-8b = -88
==> b = 11 ==> a = 3
and so P(X = x) = 1/(11 - 3) = 1/8 for all 3 < x < 11.
(b)
[tex]\displaystyle P(6<X<7) = \int_6^7f_X(x)\,\mathrm dx = \int_6^7\frac{\mathrm dx}8 = \boxed{\frac18}[/tex]
(c) The distribution function is then
[tex]\displaystyle F_X(x) = \int_{-\infty}^x f_X(t)\,\mathrm dt = \begin{cases}0&\text{if }x\le3 \\ \dfrac x8 &\text{if }3<x<11 \\ 1&\text{if }x\ge11\end{cases}[/tex]
5*213 is a 5 digit number replace the * number by smallest digit to make them divisible by 3
Answer:
1
Step-by-step explanation:
that is the answer
because 51213÷3=17071
a Find the sum of interior angle of the heptagon
Answer:
sum of the interior angles=900°
Answer:
900°
Step-by-step explanation:
To find any shape sum of interior angles ,
we use the formula,
(n-2)180°, where n is the number of sides
So for heptagon,
n=7
using formula,
(7-2)180°
=> 5(180)
=> 900°
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
3 - 2 + 6 - 1 steps to please
Answer:
the answer is 6
hope this helps:)
Answer:
6
Step-by-step explanation:
3-2 = 1
6-1= 5
5+1= 6 this is the answer hope it is help for u
Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.
Answer:
707.7, or 707
Step-by-step explanation:
0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413