Trabajando con porcentajes, concluimos que la pérdida es de $4800.
¿A cuánto asciende la pérdida?
Sabemos que la inversión inicial es de $60000, y de esta cantidad, se pierde un 8%.
Entonces la pérdida va a ser el 8% de $60000.
Podemos escribir las relaciones:
$60000 = 100%
x = 8%
Queremos resolver esto para x, tomando el cociente entre esas relaciones y resolviendo para x obtenemos:
x = $60000*(8%/100%) = $60000*0.08 = $4800
Así, concluimos que la pérdida es de $4800.
Sí quieres aprender más sobre porcentages:
https://brainly.com/question/843074
#SPJ1
The data {(0, 14), (1, 12), (2, 10), (3, 8), (4, 6)) is:
linear.
nonlinear.
please help 50 points
Answer:
|J| = -40
Step-by-step explanation:
The determinant of a 2×2 matrix is the difference between the product along the down diagonal and the product along the up diagonal:
|J| (-2)(8) -(4)(6) = -16 -24
|J| = -40
Answer:
|J| = -40
Step-by-step explanation:
Steve is three more thab 5 times as old as her cousin.if the sum of their ages is 21. How old is kias cousin
Answer:
Step-by-step explanation:
Kias is 3 and steve is 18
answer the question below, please
Answer:
AB = 42.30 m
Step-by-step explanation:
What we are asked to do is to simply find the length of AB.
Since both triangles are similar, therefore their corresponding sides would be proportional to each other.
Thus:
92/82.8 = 47/AB
Cross multiply
92*AB = 82.8*47
92*AB = 3,891.6
AB = 3,891.6/92
AB = 42.30 m(nearest hundredth)
what is 16% more than 2.5
Answer:
2.9
Step-by-step explanation:
You can find this answer two different ways.
First, you can turn the percent into a decimal, multiply the two numbers, and add them together. (0.16 * 2.5) and then (0.4 + 2.5)
Second, you could find the decimal and add it to 1.0 so you get 1.16 and multiply by 2.5. (1.16 * 2.5)
i literally have no clue how to do this can someone help
Peace and love
Peace
627 x 26
how do you solve this problem using standard algorithm
627 x 26 equals 16,302 when solved using the standard algorithm.
The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:
627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.
Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.
1254 -- a 6 x 7 partial product
1254 -- a half 6 x 2 product
Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.
1254 x 627
For more questions on standard algorithm
https://brainly.com/question/31093963
#SPJ8
How do I find the sum of this equation and express it in simplest form \(( {n}^{3} - 5n - 2) + (4 {n}^{3} + n - 4)\)
Who thx of the following is the graph of the solution of 3x + 9 < 30
Answer:
First we need to solve:
3x + 9 < 30
-9 -9
3x < 31
Divide by 3 on both sides:
x < 10.3 around 10
this doesn't really seem right are you sure you typed it in correctly?
Step-by-step explanation:
x < 10 im assuming its 13 i guess since there are no options of 10..
so:
x < 13
B is your answer
The circle is filled in, and it starts at the point of 13 and goes down.
PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".3. The Shortest Side of a triangle with Perimeter 35cm is 5cm Calculate the length of the other two sides of the triangle if they are in GP
Step-by-step explanation:
a,ar,ar
2
shortest side is 9cm.
! 20 points to those who give me the answer!
The surface area of two similar figures are given. The volume of the larger figure is given. Find the volume of the smaller figure.
S.A (Smaller figure) = 567
S.A (Larger figure) = 1575
V (Larger figure) = 2500
Answer:
1575 is the answer
Step-by-step explanation:
you are helping your sister plan her sweet 16. the venue you want to host it at charges $75 for every 3 guest as well as a rental deposit of $200 write an equation to determine the total party cost
Answer:
y = 25x + 200
Step-by-step explanation:
y = the total cost of the party
x = the number of guests
75/3 = 25
25 is the cost per guest.
Helping in the name of Jesus.
Given: a || b
Find the missing angle measures in the diagram. Explain how you find each angle measure. (please explain how you got the answer)
The angle measure explained in the solution.
Given that, a || b, we need to find the missing angles,
∠1 = 42° [vertically opposite angles]
∠3 = 62° [vertically opposite angles]
∠2 = 180°-(∠1+62°) [angle in a straight line]
∠2 = 76°
∠4 = ∠2 [vertically opposite angle]
∠4 = 76°
∠4 = ∠9 = 76° [alternate angles]
∠9 = ∠12 = 76° [vertically opposite angle]
∠3 = ∠ 6 = 62° [alternate angles]
∠ 6 = ∠7 = 62° [vertically opposite angle]
∠3 + ∠5 = 180° [consecutive angles]
∠5 = 118°
∠5 = ∠8 = 118° [vertically opposite angle]
∠4 + ∠10 = 180° [consecutive angles]
∠10 = 104°
∠10 = ∠11 [vertically opposite angle]
Learn more about angles, click;
https://brainly.com/question/28451077
#SPJ1
You are preparing a variety of pastries for a party you are catering. You anticipate each
of the 400 guests will consume approximately 1.75 pastries. One quarter of the pastries
will have 2 ounces of lemon filling each. The recipe for the filling yields 2 pounds and
calls for 1 quart of heavy cream, 6 eggs, and 1 cup of lemon juice.
a.) How many quarts of heavy cream will you need?
b.) How many dozen eggs should you order?
c.) A lemon will yield 2 ounces of juice. How many lemons should you order?
a.) Exact result: 10.9375. Approximate: 11 quarts of heavy cream.
b.) Exact result: 65.625. Approximate: 66 eggs.
c.) Exact result: 43.75. Approximate: 44 lemons.
Step-by-step explanation:a.) How many quarts of heavy cream will you need?If 400 guest will consume 1.75 pastries, then the total of pastries is:
\(400*1.75=700\)
If one quarter of the pastries will have 2 ounces of lemon filling, then the amount of pastries that will ahve this filling is:
\(700*\frac{1}{4}= 175\)
If 175 will have 2 ounces of lemon filling, then the ounces of lemon filling needed is:
\(175*2=350\)
Then, the mass, in pounds, of lemon filling needed is:
\(350/16=21.875\)
To find the quarts of heavy cream needed, set up a rule of 3 like this:
2 pounds of filling ------------ 1 quart of heavy cream
21.875 pounds of filling ----- x
\(x= \frac{21.875*1}{2} =10.9375\)
The amount of quarts of heavy cream needed is, approximately, 11.
b.) How many dozen eggs should you order?
Do the same rule of 3 as in question 1, except that now we substitute the ingredient and que quantity:
2 pounds of filling ------------ 6 eggs
21.875 pounds of filling ----- x
\(x= \frac{21.875*6}{2} =65.625\)
The amount of eggs needed is, approximately, 66.
c.) A lemon will yield 2 ounces of juice. How many lemons should you order?
First, let's find out how many cups of lemon juice are needed through a rule of 3.
2 pounds of filling ------------ 1 cup of lemon juice
21.875 pounds of filling ----- x
\(x= \frac{21.875*1}{2} =10.9375\)
Now, convert the cups to ounces.
10.9375 cups * 8= 87.5 ounces.
Set up another rule of 3 to determine the number of lemons.
2 ounces ------------ 1 lemon
87.5 ounces ----- x
\(x= \frac{87.5*1}{2} =43.75\)
The amount of lemons needed is, approximately, 44.
Find the center and radius of the radius of the circle with the given equation. x^2 + (y+7)^2 = 64
Answer:
The standard form of a circle is (x - c)² + (y - d)² = r² where (c, d) is the center and r is the radius. This means that the center is (0, -7) and the radius is 8.
Answer: Center = (0, -7)
Radius = 8
Step-by-step explanation:
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the centerr is the radiusx² + (y + 7)² = 64
→ (x - 0)² + (y - (-7))² = 8²
↓ ↓ ↓
h=0 k=-7 r=8
(h, k) = (0, -7)r = 81.8x7+3 (1 point)
o 67
o 80
o 59
o 18
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
Learn more about LCM here :
https://brainly.com/question/6756370
#SPJ1
Which is the closest estimate of the following sum? 4.038 + 5.5 + 2.17
Answer:
12
Step-by-step explanation:
Round 4.038 down to 4
Round 5.5 up to 6
Round 2.17 to 2
4+6+2 = 12
3. Find the slope that runs through the points (-5, 10) and (3, -4). m =
We have to use the slope formula.
\(m=\frac{y_2-y_1}{x_2-x_1}\)Let's replace the points (-5, 10) and (3, -4).
\(m=\frac{-4-10}{3-(-5)}=\frac{-14}{3+5}=-\frac{14}{8}=-\frac{7}{4}_{}\)Hence, the slope is -7/4.Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants. Calculate the average rate of change (slope) for the number of Burger King restaurants over this time period.
The average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
What is the slope?
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)
We have:
In 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
The slope:
\(\rm m =\dfrac{16717-12078}{2017-2009}\)
m = 4639/8
m = 579.875
Thus, the average rate of change (slope) is 579.875 if, in 2009, there were 12,078 Burger King restaurants; in 2017, there were 16,717 Burger King restaurants.
Learn more about the slope here:
brainly.com/question/3605446
#SPJ1
Which pile of laundry has more shirts?
Pile 1
Three pants two shirts
Pile 2
Two shirts 4 pants
Answer:111
Step-by-step explanation:
1111
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
Learn more on puzzle: https://brainly.com/question/27645967
#SPJ1
b. Passes through the point (2, -4) and is parallel to 3x + y = 5
c. Passes through the point (2, -4) and is perpendicular to 3x + y = 5
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)
now, keeping in mind that perpendicular lines have negative reciprocal slopes
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)
so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)
-5p = -40 solve for t
Answer:
p = 8
Step-by-step explanation:
Divide -5 to both sides
-5p = -40
5p = 40
p = 8
So p = 8
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call center is required to answer 75 calls each day. Assume the call times are independent. What is the expected total amount of time in minutes the operator will spend on the calls each day
Answer:
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n-values of normal variable:
Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is \(M = n\mu\) and the standard deviation is \(s = \sigma\sqrt{n}\)
Calls to a customer service center last on average 2.8 minutes.
This means that \(\mu = 2.8\)
75 calls each day.
This means that \(n = 75\)
What is the expected total amount of time in minutes the operator will spend on the calls each day
This is M, so:
\(M = n\mu = 75*2.8 = 210\)
The expected total amount of time the operator will spend on the calls each day is of 210 minutes.
Please help me this
And show your working out
Thanks I will appreciate it
Answer:
3x / 2 + 9 = 5
3x / 2 = -4
3x = -8
x = -8/3
(2 + v) / 3 = 9
2 + v = 27
v = 25
32 / (d - 2) = 10
32 = 10 * (d - 2)
3.2 = d - 2
d = 5.2
2p - 4 = 3p / 2
2 * (2p - 4) = 3p
4p - 8 = 3p
p - 8 = 0
p = 8
3b / 2 = 12
3b = 24
b = 8
Select the system of linear inequalities whose solution is graphed. O y < 3x-2, x + 2y > 4 O y ≤ 3x-2, x + 2y 2 4 O y> 3x-2, x + 2y < 4 O y2 3x-2, x + 2y ≤ 4
Option D is the correct answer.
From the graph, we can conclude that,
1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.
2. The points on the lines of the shaded region are also included in the solution.
The only option that matches with the above conditions is option D. So, option D is the correct answer.
Let us verify it.
Now, let us consider a point that is inside the shaded region and also on any one line.
Let us take (0, 2).
Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.
Considering the inequalities,
y ≥ 3x - 2
x + 2y ≤ 4
Solving we get,
2 ≥ 3(0) - 2
2 ≥ -2
x + 2y ≤ 4
0 + 2(2) ≤ 4
4 ≤ 4
Here, both inequalities are correct.
So, option D is the correct answer.
Learn more about inequality click
https://brainly.com/question/20383699
#SPJ1
The complete question is =
Which system of linear inequalities is graphed?
A. y < 3x-2
x + 2y ≥ 4
B. y < 3x - 2
x + 2y > 4
C. y > 3x - 2
x + 2y < 4
D. y ≥ 3x - 2
x + 2y ≤ 4
In ΔWXY, w = 320 inches, y = 740 inches and ∠Y=169°. Find all possible values of ∠W, to the nearest 10th of a degree.