Answer:
On the 12th day, the rumor would have has to all the 1000 employees
Step-by-step explanation:
Given the data in the question;
so, lets consider the rumor spreading thorough the company of 1000 employee;
the given model is; [tex]r_{n+1}[/tex] = [tex]r_{n}[/tex] + 1000k[tex]r_{n}[/tex] ( 1000 - [tex]r_{n}[/tex] )
where k is the parameter that depends on how fast the rumor spreads, n is the number of days.
now, lets assume k = 0.0001, lets also assume r₀ = 4
so to find how soon all 1000 employees will have heard the rumor ;
let n be;
then r1 will be;
r1 = r₀ + ( 0.001)r₀(1000-r₀ )
so
r1 = 4 + ( 0.001) × 4× (1000 - 4 )
r1 = 7.984
r2 will be;
r2 = r1 + ( 0.001)r1(1000-r1 )
r2 = 7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )
r2 = 15.904255744
r3 will be;
r3 = r2 + ( 0.001)r2(1000-r2 )
r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )
r3 = 31.555566137
Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.
we will have;
n rₙ
0 4
1 7.984
2 15.904255744
3 31.555566137
4 62.1153785
5 120.372437
6 226.25535
7 401.319217
8 641.58132
9 871.53605
10 983.497013
11 999.727651
12 999.999926
Therefore, On the 12th day, the rumor would have has to all the 1000 employees
a basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?
Answer:
3 : 1
Step-by-step explanation:
120-90=30
90 mangoes
30 apples
90 : 30 divide both by 10
9 : 3 divide both by 3
3 : 1
The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.
Answer:
9.60 ; - 60.96
Step-by-step explanation:
Given the function :
F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.
x = 0
F(0)=6(0+1)/25 = 6/25 = 0.24
x = 1
F(1)=6(1+1)/25 = 12/25 = 0.48
x = 2
F(2)=6(2+1)/25 = 18/25 = 0.72
x = 3
F(2)=6(3+1)/25 = 24/25 = 0.96
x = 4
F(2)=6(4+1)/25 = 30/25 = 1.2
X ______0 _____ 1 ______ 2 ______ 3 ____ 4
P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2
Mean, μ = Σx*p(x) :
(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)
= 9.60
Variance : Σx²*p(x) - μ²
(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2
= 31.2 - 92.16
= - 60.96
given y= 1/3x+5, find y when x = -3
Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.
R(x)=1300x-x^2
C(x)=3300+20x
Will give brainliest!
Answer: Oh no... Anyway's wanna ask me a question about sex ed?
Step-by-step explanation: x=495
,P=241,525
Step-by-step explanation:
Given that
Profit=Total revenue - total cost
P= R -C
Also given that
So
Above equation is the total profit in terms if x.
Now to find maximum value of P we have to differentiate above equation with respect to x
So
⇒x=495
So total profit at x=445 ,P=241,525
Answer:
The profit function is:
[tex]P(x)=-x^2+1280x-3300[/tex]
The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:
[tex]R(x)=1300x-x^2[/tex]
And the cost function is:
[tex]C(x)=3300+20x[/tex]
Then the total profit function will be:
[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]
This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:
[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]
And the maximum profit will be:
[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]
Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she began working in the store?
A. 24
B. 27
C. 48
D. 51
Answer:
A. 24
Step-by-step explanation:
What is the total surface area of the
triangular prism?
2.8 m
2.8 m
2 m
4 m
4 m
Answer:
2 m.....that's it
try it
What is the present value of the following set of cash flows if the discount rate is 13.8%? (the cash flows occur at the end of each period) (round answer to nearest penny and enter in the following format 12345.67)
Year 0 cash flow = -3200 (a negative cash flow)
Year 1 cash flow = 900
Year 2 cash flow = 1000
Year 3 cash flow = 1500
Year 4 cash flow = 1900
Answer:
"flow" (and any subsequent words) was ignored because we limit queries to 32 words.
It looks like there aren't many great matches for your search
Tip Try using words
Hi! My teacher shows us a video and thats it, so I'm really struggling on our math test today. Can you help me answer this question? Thank you :)
Answer:
A and E
Step-by-step explanation:
Three decimals between 8.6 and 9.2?
Answer:
8.7, 8.9, 9.0
Step-by-step explanation:
Answer:
8.7, 8.9, & 9.1
Step-by-step explanation:
The decimal places go up by tens like all other numbers. Therefore, 8.7, 8.9, and 9.1 are all in between 8.6 and 9.2
answer thismath......
Answer:
you can travel 150 miles
Step-by-step explanation:
Answer:
570 miles
Step-by-step explanation:
325.5 - 240 = 85.5
85.5 / 0.15 = 570
HELPP MEE
Write an equation to express y in terms of x.
Answer:
y = -¼x
Step-by-step explanation:
If you plot the points (32,-8), (24,-6), and (16,-4), you'll see that they are collinear.
For the requirements of a report Suzy has to write for school, she has a choice of wide-rule or narrow-rule paper and three different pen colors in which to write the report. How many different possibilities does Suzy have to write the report? Enter a numerical answer only.
Answer:
6
Step-by-step explanation:
You first have to choose from Wide and Narrow.
Let's call them W and N
Then you have to choose 3 different pen colors.
Let call them, 1, 2, 3
So There are two choices from W and N.
Then we pick the number: 1, 2, 3.
so If you pick W, you will have 3 choices. Same for N.
So in total: 6 choices.
W= 3 choices, W1, W2, W3
N= 3 choices, N1, N2, N3
so 6 in total.
Rectangle RSTW has diagonals RT and SW that intersect at Z. If RZ=5x+8 and SW=11x−3, find the value of x.(1 point) x=13 x=19 x=116 x=11
If this figure is dilated by a scale factor of 3, what would the new coordinates be?
Answer:
J (-3,3), G (0,3), H (4,9), I (3,3)
Step-by-step explanation:
When your dilating a figuring it either gets larger or smaller. Since this is a positive number, and it is not a fraction then the figure is getting larger. Now you multiply each of the original coordinates by 3 to get the dilated coordinates.
(For learning purposes only)
how many miles per gallon does the car get
Answer:
25 miles for 1 gallon
Step-by-step explanation:
Looking at the graph, for 1 gallon of gas, is about 25 miles. For 2 gallons, it is 50 miles. For 3 gallons, it is 75 miles. So based on the graph and the pattern, we can assume 1 gallon of gas will take the car 25 miles.
I want to know if I’m right?
Answer:
Yes because length x with x height, which equals 90
Step-by-step explanation:
10 Determine the area of the figure. 9 cm 6 cm 12 cm
Answer:
Area= 648
Step-by-step explanation:
Area formula: L times W times H
9 times 6 times 12 :)
When the length, width, and the height is given so the area of the figure is considered to be 648.
Calculation of an area:Since the length is 9cm
The width be 6 cm
And, the height is 12 cm
So, the area be like
= (9) (6) (12)
= 648
Hence, When the length, width, and the height is given so the area of the figure is considered to be 648.
Learn more about an area here: https://brainly.com/question/20882229
it takes 30 kids 6 hours to build a man sized Sand Castle. how many kids were there if the same game took only two-and-a-half hours
Answer:
There were 72 kids there.
Step-by-step explanation:
This question can be solved using proportions, by a rule of three.
The number of kids and time are inversely proportional, that is, if we increase the number of kids to build the castle, the time it takes will decrease. This means that to solve the rule of three, instead of applying cross multiplication, we apply line multiplication.
We have that:
30 kids - 6 hours
x kids - 2.5 hours.
Applying line multiplication
[tex]2.5x = 30*6[/tex]
[tex]x = \frac{180}{2.5}[/tex]
[tex]x = 72[/tex]
There were 72 kids there.
The area of the parallelogram is 315 square units. What is the height of the parallelogram?
Answer:
h = 15 units
Step-by-step explanation:
A = bh
315 = 21h
h = 315/21
h = 15
Answer:
15 sq. units
Step-by-step explanation:
The Intuition for why the area of a parallelogram is A=bh (area = base x height)
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Have a great day!
Can somebody plz help me!!
Answer:
yes yes yes yes yes yes yes
Answer:
121π square centimeters
Step-by-step explanation:
We can find the radius of the circle by taking the average of the two diameters provided. (15+7)/2=11. Then we plug that into the area of a circle equation. Area = π[tex]r^{2}[/tex] and that yields the answer.
which graph represents exponential decay
12(x+1/6)=8 solve for x
Your answer
د لمانية
2
w
Is the answer 2?
Answer:
yes 2 is the answer yes yes yes yes
Solve the inequality for x. Be sure to show all work to receive full credit.
−3x + 5 ≤ −16
Answer:
x ≥ 7
Step-by-step explanation:
First, put the same terms on the same side. So subtract 5 from both sides. You will get:
-3x ≤ -21
Divide both sides by -3 to get x alone. When dividing, the inequality sign will change to the opposite. So it will go from a (less than or equal to) sign to a (greater than or equal to) sign.
You will get:
x ≥ 7
Therefore, x will be a number that is greater than or equal to 7.
The length of a rectangular frame is 4 inches longer than twice the width. If the perimeter is 38 inches, find the dimensions of the frame.
WILL GIVE WHOEVER ANSWERS BRAINIEST
Answer:
The width of the rectangle is 20 inches, and the length is 36 inches.
Step-by-step explanation:
2(2x-4) + 2x = 112
4x - 8 + 2x = 112
6x - 8 = 112
6x = 120
x = 20
I hope this helps️️
23 out of 5 of the students in my class have dark hair.
What percentage does not have dark hair?
Answer:
460%
Step-by-step explanation:
A bakery sold a total of 500 cupcakes in a day, and 83% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
Total number of vanila flavored cupcakes sold in a day by the bakery is 415.
Calculations to find the actual number from its percentage:Expression to be used,
Number of flavored cupcakes = percentage of vanila flavored
cupcakes × Total number of cupcakes sold in a day
Total number of cupcakes sold by the bakery = 500
Percentage of the cupcakes having vanilla flavor = 83%
Number of vanila flavored cupcakes = 83% of 500
= [tex]\frac{83}{100}\times 500[/tex]
= 415
Therefore, number of vanila flavored cupcakes sold by the bakery will be 415.
Learn more about the percentage here,
https://brainly.com/question/21800651?referrer=searchResults
What is 19 tens plus 13 tens
Answer:
320
Step-by-step explanation:
19(10) = 190
13(10) = 130
190 + 130 = 320
How do you find the area of a rectangle with a base of 10 and a height of 2 1/2?
Answer:
The area would be 25.
Step-by-step explanation:
The formula for area is base × height.
2 [tex]\frac{1}{2}[/tex] × 10 = 25
Amanda ate 1/3 of her mom's pie. she gave the remaining 2/3 to 4 friends, What fraction did each friend get.