The total money needed $ 275.2
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Calla lilies cost you $2.40.
roses cost $1.90.
If we need 65 lilies then it will cost
=64 * 2.40
= $153.60
and, If we need 65 roses then it will cost
=64 * 1.90
= $121.60
So, the total money needed
=153.6 + 121.6
=$ 275.2
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
Learn more on area of a circle here;
https://brainly.com/question/15673093
#SPJ1
Gabriella has a bag that contains pineapple chews, lemon chews, and peach chews. She performs an experiment. Gabriella randomly removes a chew from the bag, records the result, and returns the chew to the bag. Gabriella performs the experiment 75 times. The results are shown below:
A pineapple chew was selected 32 times.
A lemon chew was selected 7 times.
A peach chew was selected 36 times.
Based on these results, express the probability that the next chew Gabriella removes from the bag will be peach chew as a decimal to the nearest hundredth.
Answer:
48%
This cannot be simplified
Step-by-step explanation:
Hope this helps.
Answer:
sa
Step-by-step explanation:
the bloch sphere geometric representation of a quantum state is parameterized by two angles and such that . what are the values of the angles and for the state
The range of values for θ and φ is such that they must not repeat in order to cover the entire sphere θ∈[0,π) and φ∈[0,2π).
The Bloch sphere representation, which bears Felix Bloch's name, is the outcome of the foregoing. This illustration is a unit 2-sphere with two mutually placed spheres at the north and south poles. In contrast, quantum bits cover the entire sphere, whereas these are the only conceivable states for the classical bit representation.
(Disclaimer: One could counter that since the classical bit is represented by voltages, the classical bit representation also contains the axis linking the two poles. As a result, the Bloch sphere illustrates that there is substantially more information involved in quantum bits. When the qubit is measured, one of the two poles is what remains. Exactly which pole is determined by the direction the arrow in the Bloch representation points.
To learn more about bloch sphere: https://brainly.com/question/24214824
#SPJ4
Joseph buys a laptop for Rs 26,000 .He installed important software in it and thus spent Rs 2,600 on it. He then sold it for Rs 34,000. Find his gain %.
Answer:
his profit percentage is 84
Joseph's percentage gain (profit) is 18.9 %.
Given the following data:
Cost of laptop = Rs 26,000Cost of software = Rs 2,600Selling price = Rs 34,000To find the percentage gain (profit);
First of all, we would determine the cost price.
\(Cost \; price = Cost\; of \;software + Cost \;of\; laptop\\\\Cost \; price = 2600 + 26000\)
Cost price = Rs. 28600
\(Profit = Selling \; price - Cost \; price\\\\Profit = 34000 - 28600\)
Profit = Rs 5400
Next, we would solve for the percentage gain (profit) by using the mathematical expression;
\(Percent \;profit = \frac{Profit}{Cost\; profit}\) × \(100\)
\(Percent \;profit = \frac{5400}{28600}\) × \(100\)
\(Percent \;profit = 0.189\) × \(100\)
Percent profit = 18.9 %
Therefore, Joseph's percentage gain (profit) is 18.9 %.
Read more: https://brainly.com/question/16068904?referrer=searchResults
The names of all 126 students in a professor's class are written on identical slips of paper, and the slips are placed into a large glass jar. Then, the professor selects 14 random slips from the jar. Identify the kind of sample that is being used.
The kind of sample being used in this scenario is a simple random sample.
A simple random sample is a subset of a population where each member of the population has an equal chance of being selected. In this case, all 126 students' names are written on identical slips of paper and placed into a large glass jar. By randomly selecting 14 slips from the jar, the professor ensures that each student has an equal probability of being chosen.
Simple random sampling is a commonly used sampling method because it provides an unbiased representation of the population and allows for generalization of the findings to the larger group. It helps to minimize selection bias and increase the chances of obtaining a representative sample.
By using a simple random sample, the professor ensures that the 14 students selected for further analysis or study are chosen in a fair and unbiased manner, allowing for accurate conclusions and generalizations to be made about the entire class of 126 students.
To more on random samples:
https://brainly.com/question/13219833
#SPJ8
Reduce to first order and solve. (1 - x2 )y" - 2xy' + 2y = 0, y1 = x. Use: -Sp dx = In [1/(1-x2)] find U with its integral. to get y2 = uyi. O a. Y2 = yıu = Y SU dx = 2 + 5 x In [(x+1)/(x-1)] O b. y2 = yıu = yısu dx = -1 + 0.5 x In [(x+1)/(x-1)]. O c. y2 = yıu = yılU dx = 10 + 20 x In [(x+1)/(x-1)] O d. y2 = yıu = YISU dx = 1 + 2 x In [(x+1)/(x-1)].
After converting the given differential equation into first order we will get it as \(\Rightarrow y_2=\frac{1}{2} x \ln |1+x / 1-x|-1\)
The equation dy/dx =f (x,y) with two variables x and y with its function f(x,y) specified on a region in the xy-plane defines a first-order differential equation. There are no higher-order derivatives since it only contains the one derivative, dy/dx, making it a first-order equation.
The given differential equation is
\(\left(1-x^2\right) y^{\prime \prime}-2 x y^{\prime}+2 y=0----(i)\) with y_1=x \(\Rightarrow & y^{\prime \prime}-\frac{2 x}{1-x^2} y^{\prime}+\frac{2}{1-x^2} y=0\end{aligned}$$\)
Equation (1) is in the form of
\($$y^{\prime \prime}+p(x) y^{\prime}+q(x) y=0$$\)
where \($p(x)=\frac{-2 x}{1-x^2}, \quad q(x)=\frac{2}{1-x^2}$\)
As we know that if y_1 is given, we can find y_2 as:
y_2=4y_1, where u is a function of x and can be determined by
\($U=\int \frac{e^{-\int p d x}}{y_1^2} d x$\)
\(=\int \frac{e^{-\int \frac{-2 x}{1-x^2}} d x}{x^2} d x\\=\int \frac{e^{-\ln \left|1-x^2\right|}}{x^2} d x\\=\int \frac{1}{x^2\left(1-x^2\right)} d x\\=\int \frac{\left(1-x^2\right)+x^2}{x^2\left(1-x^2\right)} d x\\=\int\left(\frac{1}{x^2}+\frac{1}{1-x^2}\right) d x\)
\($$\begin{aligned}& =\int \frac{1}{x^2} d x+\int \frac{1}{1-x^2} d x \\& =-\frac{1}{x}+\int \frac{1}{1-x^2} d x\end{aligned}$$\)
Now, \($\int \frac{1}{1-x^2} d x=\int f(x) d x$\) (say)
Where, \($f(x)=\frac{1}{1-x^2}=\frac{1}{(1+x)(1-x)}$\)
\(=\frac{A}{1+\eta}+\frac{B}{1-x} \\\)
1=A(1-x)+B(1+x)
Putting x = 1, we will get B = 1/2
x = -1, we will get it as: A = 1/2
\(\therefore \int \frac{1}{1-x^2} d x=\int \frac{1 / 2}{1+n} d x+\int \frac{1 / 2}{1-x} d x\)
\(=\frac{1}{2} \ln |1+x|-\frac{1}{2} \ln |1-x|\\=\ln \sqrt{1+x}-\ln \sqrt{1-x}\\\\=\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)\\\Rightarrow \int \frac{1}{1-x^2} d x=\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)\)
Hence \($u=-1 / x+\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)$\)
\(\Rightarrow y_2=u \cdot y_1=x\left[-1 / x+\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)=x \ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)-1\right.\\\Rightarrow y_2=\frac{1}{2} x \ln |1+x / 1-x|-1\)
For more questions on Differential Equations
https://brainly.com/question/2264000
#SPJ4
Solve - x/6 less than or equal to 3
Answer: x is greater than or equal to 18
Step-by-step explanation:
Answer:
x ≤ - 2
Step-by-step explanation:
- x/6 ≤ 3
- x/2 ≤ 1
- x ≤ 2
x ≤ - 2
Find the slope between the following two points: (3, 1), (5, 4).
Answer:
3/2 or 1.5
Step-by-step explanation:
\(slope = \frac{4 - 1}{5 - 3} \\ \\ = \frac{3}{2} \\ \\ = 1.5\)
baseball rules specify that a regulation ball shall weigh no less than 5.00 ounces nor more than 5.25 ounces. what are the acceptable limits, in grams, for a regulation ball?
According to baseball rules, a regulation ball must weigh between 142 and 149 grams. The acceptable weight limits, in grams, for a regulation ball are determined by the specified weight range in ounces.
Baseball rules specify that a regulation ball shall weigh no less than 5.00 ounces nor more than 5.25 ounces. To convert these limits to grams, you can use the conversion factor of 1 ounce = 28.3495 grams. The acceptable lower limit for a regulation ball is 5.00 ounces * 28.3495 = 141.7475 grams, and the upper limit is 5.25 ounces * 28.3495 = 148.83475 grams. Therefore, the acceptable limits, in grams, for a regulation baseball are approximately 141.75 grams to 148.83 grams. This weight range ensures that all baseballs used in games are consistent and fair for both teams. It is important for players, coaches, and umpires to adhere to these regulations in order to maintain the integrity of the game. Any ball that falls outside of the acceptable weight range should not be used in official games or practices.
To learn more about acceptable weight, visit:
https://brainly.com/question/5022910
#SPJ11
WILL GIVE BRAINLIEST!
Ify is floating freely in outer space. The gravitational forces pulling on her body are negligible except for the forces from a nearby asteroid (a) the nearest planet (p) and the nearest star (s) The asteroid, planet, star, and Ify all lie in the same plane.
a= (2,4)
p=(-1.-3)
s=(8,2)
Answer:
The magnitude of the net gravitational force acting on Ify is 9.1 newtons.
Ify is getting pulled in a direction of 6.2 radians.
Step-by-step explanation:
The vector g = (9,-1) describes the net gravitational force acting on Ify.
We can find the magnitude of g, using the Pythagorean theorem.
A store is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount?
The cost of the shirt, in dollars, after the 30% discount is $17.50.
What is discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. Discounts can be offered for a variety of reasons, such as to attract customers, increase sales, or clear out inventory. Discounts can be expressed as a percentage or a fixed amount, and they can be applied at the time of purchase or deducted from an invoice or bill. Discounts are often used in sales promotions, marketing campaigns, and loyalty programs to incentivize customers to buy or use a product or service.
If a store is offering a 30% discount on shirts that cost $25 originally, then the discount amount is:
30% of $25 = 0.30 x $25 = $7.50
The discount amount is $7.50, so the new price of the shirt after the discount is:
$25 - $7.50 = $17.50
Therefore, the cost of the shirt, in dollars, after the 30% discount is $17.50.
To know more about discount visit:
https://brainly.com/question/1548141
#SPJ1
Which function represents exponential decay? f(x) = (2)x f(x) = ()x f(x) = 3()x f(x) = 2()x
The function that represents an exponential decay is the last one:
f(x) = 2*(2/3)^x
What is exponential decay function?
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
The form of the general exponential decay is:
f(x) = A*(r)^x
Where A is the initial value, x is the variable, and r is the rate at which it decreases, where r must be a number between 0 and 1.
The given options are:
f(x) = (1/2)*2^x
f(x) = (3/4)*(-1/5)^x
f(x) = 3*(7/2)^x
f(x) = 2*(2/3)^x
Because r must be between zero and one, the only option that meets that requirement is the last one, where r = 2/3.
Then the function that represents an exponential decay is the last one:
f(x) = 2*(2/3)^x
To learn more about the exponential decay function from the given link
brainly.com/question/19599469
#SPJ4
Question:
Which function represents exponential decay? f(x) = One-half(2)x f(x) = Three-fourths(Negative one-fifth)x f(x) = 3(Seven-halves)x f(x) = 2(Two-thirds)x
A courtyard is constructed in a 6 m by 9 m space. There is a walkway of
width x all the way around the courtyard. Find the area of the walkway.
The area of the courtyard with a rectangle shape is the expression (4x² + 30x)m²
How to calculate the area of a rectangleIn calculating for the area of rectangle, the breadth is multiplied by the length of the rectangle
The courtyard has a shape of rectangle with the dimensions 6m by 9m, hence given that the width of the walkway around the courtyard is x.
one of the walkway breadth has area = (6 + 2x) × x
total area of the two walkway breadth = 2 × (6 + 2x) × x
total area of the two walkway breadth = 12x + 4x²
one of the walkway length has area = 9 × x
total area of the walkway length = 2 × 9 × x
total area of the walkway length = 18x
Therefore, the total area of the rectangular walkway = 12x + 4x² + 18x which is 4x² + 30x by simplification.
Learn more about area of rectangle here: https://brainly.com/question/25965491
#SPJ1
Slope intercept form
The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept
What is standard form form?Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
When an equation is given in this format, finding both intercepts is rather simple (x and y). Additionally, when resolving systems of two linear equations, this form is highly helpful.
It is possible to determine the x- and y-intercepts of the corresponding line when we have a linear equation in standard form.
In some circumstances, we might want to convert an equation written in a different form to standard form (for instance, while solving systems of equations).
To be learn more about standard refer to:
https://brainly.com/question/15287326?referrer=searchResults
#SPJ1
Parallelogram ABCD is a rectangle.
AC = 2y + 7
BD = 3y - 4
What's the value of Y?
The value of y is 11.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given that Parallelogram ABCD is a rectangle.
Consider that AC and BD are opposite sides. In a parallelogram, we know that opposite sides are congruent which means:
AC = BD
2y + 7 = 3y - 4
Solving;
2y - 3y = -4 - 7
-y = -11
y = 11
Hence, the value of y is 11.
Learn more about parallelogram
https://brainly.com/question/2716583
#SPJ1
Multiply. Write your answer as a fraction in simplest form.
5/6(−8/15)=
Answer:
-4/9
Step-by-step explanation:
I used a calculator.
5/6(−8/15) in simplest form is -4/9.
What is a fraction ?A fraction is written in the form of a numerator and a denominator.There are two types of fractions. One is proper fraction in which numerator is less than the denominator and another one is improper fraction in which denominator is less than the numerator.All fractions can be written in the form of p/q, where q ≠ 0 cause anything divided by 0 is undefined.
According to the given questions we have to multiply two fractions (5/6)(-8/15) which is
= -40/90.
= -4/9.
learn more about fractions here :
https://brainly.com/question/10354322
#SPJ2
One Step Inequalities...
Someone please help i'll give you brainliest answer and more!
Answer:i’m sorry i don’t know best of luck tho
Step-by-step explanation:
Given that x = 9.5 m and θ = 37°, work out AB rounded to 3 SF.
Answer:
The answer for y is
12.607m to 3SF
Step-by-step explanation:
tan0=x/AB
let AB be y
tan37°=9.5/y
tan37y=9.5
divide both sides by tan37
tan37y/tan37=9.5/tan37
y=12.607m to 3 significant figures
Please help quick! 100 points
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
Answer:
Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.
Step-by-step explanation:
Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:
Bus 14, with an IQR of 6.
How to obtain the measures of spread?
First, we consider the dot plot, which shows the number of times that each observation appears in the data set.
Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.
The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.
For groups of 15 students, we have that:
The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.
The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.
The quartiles for Bus 14 are given as follows:
Q1 = 12.
Q3 = 18.
Hence the IQR is of:
IQR = Q3 - Q1 = 18 - 12 = 6.
The quartiles for Bus 18 are given as follows:
Q1 = 9.
Q3 = 16.
Hence the IQR is of:
IQR = Q3 - Q1 = 16 - 9 = 7.
Step-by-step explanation:
Which function grows at the fastest rate for increasing values of x? Let me know asap
The function that grows at the fastest rate for increasing values of x is h(x) = 2^x.
This is because the exponential function 2^x grows much faster than any polynomial function, such as 19x, 5x^3, or 8x^2-3x. As x gets larger, the value of 2^x will grow exponentially, while the value of the polynomial functions will grow much more slowly.
For example, if x = 10, then the values of the functions are as follows:
g(x) = 190
p(x) = 10003
f(x) = 800
h(x) = 1024
As you can see, the value of h(x) is much larger than the values of the other functions. This is because the exponential function 2^x is growing much faster than the polynomial functions.
For such more question on function:
https://brainly.com/question/11624077
#SPJ8
Miss Goodnight has 16 boys in her class of 40 students. Mr. Marquez has 14 boys out of his 30 students. Which class has a greater ratio of boys to total students? Explain
Answer:
Mrs. Henderson's class has the greater ratio of boys to students.
Step-by-step explanation:
Mrs. Henderson has 16 boys in her class of 24 students.
The ratio of boys to students,
16:24 = 2:3 = 0.67
Mr. Gregory has 18 boys in his class of 30 students.
The ratio of boys to students,
18:30 = 3:5 = 0.6
Therefore, Mrs. Henderson's class has better ratio.
29m area rounded nearest tenth
Answer:
The height of building is 21 m
Step-by-step explanation:
According to the Pythagorus Theorem
(Hypotenuse)² = (Base)² + (Perpendicular)²
We need to find out the perpendiclar so arranging the equation
(Hypotenuse)² - (Base)² = (Perpendicular)²
Putting the values
(36)² - (29)² = (Perpendicular)²
1296 - 841 = (Perpendicular)²
455 = (Perpendicular)²
Taking Square root on both sides
√455 = √(Perpendicular)²
21.33 = Perpendicular
Rounding off the value is 21 m
Answer:
In short: 29 rounded to the nearest ten is 30.
Step-by-step explanation:
Locate the tens place (2) then look at the digit to the right (9): In this case, the digit to the right (9) is 5 or above. So, we add 1 to the tens place (2).The digit(s) after the (2) are replaced by zeros (or dropped). Thus, we get 30 as the answer.
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5. The profit for the year was $176,500. Determine the number of dollars each partner is to receive.
For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.
Here let the partners be A, B, and C.
According to the question, A: B: C = 3: 2: 5
This implies that if the profits are divided into
3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.
Here the profits for the year are $176,500.
Now dividing them into 10 equal parts will give us the value of each part to be
$176, 500/10 = $17,650
Hence A will receive $17,650 X 3 = $52,950
B will receive $17,650 X 2 = $35,300
C will receive $17,650 X 5 = $88,250
To learn more about Ratios:
https://brainly.com/question/21138916
#SPJ4
Which number is closest to √75 ?
The closest number is 9 to irrational number √75.
What is irrational number?
Irrational numbers are real numbers that cannot be represented as simple fractions. An irrational number cannot be expressed as a ratio, such as p/q, where p and q are integers, q≠0.
What is closet number?
Nearest ones whole number is the first digit before the decimal point of a number. For example nearest ones of 9.6 is equal to 10. Which is the nearest number to the decimal point? Nearest ones whole number is the first digit before the decimal point of a number.
the perfect squares near to 75 is 64 and 81.
But 81 is the closest to 75
Taking square root, we get
9 is closest to √75.
Also value of √75 is 8.66025..
To know more about irrational number, visit:
https://brainly.com/question/1776973
#SPJ13
Help ON PLATO
Please I need help w more stuff too
Answer:
find the graph where y is 3 less than x in value
Step-by-step explanation:
the answer explains it if you showed us the graphs we would be able to answer it for you
These two triangles are similar. What is the length of side a and b? Help ASAP pleasee! Look at the screenshot Please, Thank you! :)
Answer:
do you have 12 as an answer?
Find the value of x. x+35 4x
In the problem below, which line contains an error?
exepted line 1
Answer:
can you tell me to which line I have to correspond to
Step-by-step explanation:
because the question but I may tell you each line answers sorry for my doubt
By applying the distributive property, we should have 6x - 2x + 10 = 22 in line 2. Line 2 has an error aside line 1.
What is the Distributiive Property?To apply the distributive property, all the terms within the bracket are each multiplied by the term outside the bracket.
In the problem shown above, aside from line 1, line 2 also contains an error. This is because, applying the distributive property, we should have:
6x - 2(x) -2(-5) = 22
6x - 2x + 10 = 22
It should be +10 not -10 in line 2. Line 2 has an error.
Learn more about the distributive property on:
https://brainly.com/question/2807928
#SPJ2
batteries have capacities which are often given in units of ampere-hours (\text{ah}ah). the stored energy can be derived from the reported ampere-hours. consider a aaa battery which has a voltage of 1.25\text{v}1.25v and a capacity of 500\text{mah}500mah. what is the energy capacity of the battery in kilojoules? omit units from your answer.
The energy capacity of the battery in kilojoules is approximately 2.250 kJ.
The energy stored in a battery is given by the equation:
energy = capacity * voltage
The capacity of the battery is given in milliampere-hours (mAh), so we need to convert it to ampere-hours (Ah) by dividing by 1000. The voltage of the battery is given in volts (V). Plugging in the given values, we get:
energy = (500 mAh) / 1000 * 1.25 V = 0.625 Ah * V
Since 1 Ah is equal to 3600 Coulombs, the energy in Coulombs is:
energy (Coulombs) = 0.625 Ah * 3600 Coulombs/Ah = 2250 Coulombs
Since 1 Coulomb is equal to 1 Joule/Volt, the energy in Joules is:
energy (Joules) = 2250 Coulombs * 1 Joule/Coulomb = 2250 Joules
Since 1 kilojoule (kJ) is equal to 1000 Joules, the energy in kilojoules is:
energy (kJ) = 2250 Joules / 1000 Joules/kJ = 2.250 kJ
Learn more about Energy at:
brainly.com/question/16119496
#SPJ4
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be then?
Answer:
$25
Step-by-step explanation:
Because $75-$50=$25
Answer:
Step-by-step explanation:
Answer:
$25
Step-by-step explanation:
Because $75-$50=$25