The probability that at least 4 accounting majors are on the committee is P(at least 4 accounting majors) = 1 - P(less than 4 accounting majors)
We can use the complement rule to solve this problem. The complement rule states that the probability of an event happening plus the probability of the event not happening is equal to 1.
In this case, we can find the probability that less than 4 accounting majors are on the committee and then subtract that from 1 to find the probability that at least 4 accounting majors are on the committee.
There are 6 accounting majors and 9 finance majors, for a total of 15 students.
To find the probability that fewer than 4 accounting majors are on the committee, we can use the binomial probability formula:
P(k) = (combination(8,k)) [tex]\times (6/15)^k \times (9/15)^{(8-k)[/tex]
where k is the number of accounting majors on the committee.
To find the probability that fewer than 4 accounting majors are on the committee, we need to sum the probabilities for k = 0, 1, 2, and 3.
P(less than 4 accounting majors) = P(0) + P(1) + P(2) + P(3)
Finally, we can use the complement rule to find the probability that at least 4 accounting majors are on the committee:
P(at least 4 accounting majors) = 1 - P(less than 4 accounting majors)
You can calculate the exact probability using the binomial coefficient and the binomial probability formula and then subtract that from 1 to get the final probability.
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I need help with these 4 questions
Only questions 1 2 3 4
Answer: 1: x = 2y - 1 This equation shows that the value of x is always 2 times the value of y minus 1.
2: y = 3x + 3 This equation shows that the value of y is always 3 times the value of x plus 3.
3: y = (x/4) - 1 This equation shows that the value of y is always the value of x divided by 4 minus 1.
4: y = x-5 This equation shows that the value of y is always the value of x minus 5.
how many terms are in the algebraic expression
Answer:
I think there are 4 separate terms in that algerbric equation
Can someone help with this problem
Answer:
Step-by-step explanation:
The answer is C. 5x + 15 because the 5 outside the parentheses () is supposed to multiply by what's inside the parentheses. So multiply 5 and x and 5 and 3 (5 * X = 5x) (5 * 3 = 15).
26 over 100 in simplest form
Part C
What is the equation of the directrix of the parabola? If the value of a changed from - to, what would the equation of the directrix be?
If the value of 'a' changed from -a to +a , the equation of the directrix of the parabola is x= a
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
If parabola is y² = 4ax and the equation of the directrix of the parabola is x= -a
when parabola becomes y² = - 4ax and the equation of the directrix of the parabola is x= a
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a) Two workers laid 250 bricks. If Ram had laid twice as many as he did and Shyam had laid half as many as Ram did, there would have been 50 bricks left over. How many bricks did each lay?
Step-by-step explanation:
Let x be the number of bricks Ram laid.
Shyam laid x/2 bricks.
Therefore, x + x/2 + 250 = x(3/2) + 250 = x(3/2) = 300
x = (2*300)/3 = 200
Ram laid 200 bricks.
Shyam laid 200/2 = 100 bricks.
A circle is centered at O. The tangent to the circle at P is extended to Q. Line segment QS intersects the circle at R. Given that OS = 2, SR = RQ = 3, and PQ = 6, find the radius of the circle.
The radius of the circle will be [tex]\sqrt{22}[/tex].
In our question, we shall first extend QRS to the circle's point T.
According to the power of a point.
[tex]QP^{2}[/tex] = QR*QT
[tex]6^{2}[/tex] = 3*QT
QT = 12
Since QR = 3, RT = 9.
Since RS = 3, ST = 6.
Draw OT and OR, creating a triangle(TSO) and triangle(RSO).
OT and OR are radii, Let the radius be r.
Use the Law of Cosines on these two triangles.
OT2 = [tex]r^{2}[/tex] = [tex]6^{2}[/tex] + [tex]2^{2}[/tex] - 2*6*2*cos(TSO)
OR2 = r2 = [tex]3^{2}[/tex] + [tex]2^{2}[/tex] - 2*3*2*cos(RSO)
Since these are equal:
[tex]6^{2}[/tex] + [tex]2^{2}[/tex] - 2*6*2*cos(TSO) = [tex]3^{2}[/tex] + [tex]2^{2}[/tex] - 2*3*2*cos(RSO)
40 - 24*cos(TSO) = 13 - 12*cos(RSO)
Since angle(RSO) is supplementary to angle(TSO), cos(RSO) = - cos(TSO)
40 - 24*cos(TSO) = 13 + 12*cos(TSO)
27 = 36*cos(TSO)
0.75 = cos(TSO)
Since [tex]OT^{2}[/tex] = [tex]r^{2}[/tex] = [tex]6^{2}[/tex] + [tex]2^{2}[/tex] - 2*6*2*cos(TSO)
[tex]r^{2}[/tex] = 40 - 24*0.75
[tex]r^{2}[/tex] = 22
r = [tex]\sqrt{22}[/tex]
Hence the radius of the given circle will be [tex]\sqrt{22}[/tex].
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Rob is saving to buy a new MP3 player. For every $ 16 he ears babysitting, he saves $9. On Saturday, Rob earned $32 babysitting. How much money did he save?
Applying proportions, the amount of money Bob saved is $18.
How to Apply Proportions to Solve Problems?Proportions can also be used to express a relationship between two or more values in the form of a ratio, such as a:b, where a and b are values being compared.
We can start the problem by using the proportion of saving to earning, which is 9/16.
If for every $16 he earns babysitting, he saves $9, then for $32 that he earned babysitting, he saved:
$9 / (16/32) = $9 * 2 = $18
So Rob saved $18 from the money he earned babysitting on Saturday
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Find the length of the curve. r(t) = < 6t, t^2, 1/9(t^3) > , 0 ≤ t ≤ 1
Please show step by step the simplifications and calculations for this problem, thanks!
The curvature of the curve is 55/9 in accordance with the provided declaration.
What in mathematics is a curve?Curve, An abstract phrase used to express the trajectory of a steadily moving particle in mathematics (see continuity). Usually, an equation will create such a route. The term may also be used to describe a linear model or a collection of connected line segments. The IS curve displays variants of interest rates plus production levels where anticipated expenditure and income are equal. The many interest and income configurations along whom the merchandise is in homeostasis are represented by the IS Curve.
[tex]\mathbf{r}(t)=\left\langle 6 t, t^2, \frac{1}{9}\left(t^3\right)\right\rangle[/tex]
So,
[tex]x(t)=6 t, y(t)=t^2, z(t)=\frac{1}{9}\left(t^3\right)[/tex]
Then,
[tex]\begin{aligned}& x^{\prime}(t)=\frac{d}{d t}(6 t) \\& =6 \cdot \frac{d}{d t}(t)\end{aligned}[/tex]
= 6(1)
= 6
[tex]\begin{aligned}& y^{\prime}(t)=\frac{d}{d t}\left(t^2\right) \\& =2 t^{2-1}\end{aligned}[/tex]
= 2t
And,
[tex]\begin{aligned}& z^{\prime}(t)=\frac{d}{d t}\left(\frac{1}{9}\left(t^3\right)\right) \\& =\frac{1}{9}\left(3 t^{3-1}\right) \\& =\frac{1}{9}\left(3 t^2\right) \\& =\frac{1}{3}\left(t^2\right)\end{aligned}[/tex]
Now calculating length of the given curve from 0 to 1,
[tex]\begin{aligned}& L=\int_0^1 \sqrt{(6)^2+(2 t)^2+\left(\frac{1}{3}\left(t^2\right)\right)^2} d t \\& =\int_0^1 \sqrt{(6)^2+2 \cdot 6 \cdot \frac{1}{3}\left(t^2\right)+\left(\frac{1}{3}\left(t^2\right)\right)^2} d t \\& =\int_0^1 \sqrt{\left(6+\frac{1}{3}\left(t^2\right)\right)^2} d t\end{aligned}[/tex]
[tex]\begin{aligned}& =\int_0^1\left(6+\frac{1}{3}\left(t^2\right)\right) d t \\& =\int_0^1 6 d t+\int_0^1 \frac{1}{3}\left(t^2\right) d t \\& =6 \int_0^1 d t+\frac{1}{3} \int_0^1 t^2 d t \\& =6[t]_0^1+\frac{1}{3}\left[\frac{t^{2+1}}{2+1}\right]_0^1 \\& =6[1-0]+\frac{1}{3}\left[\frac{t^3}{3}\right]_0^1\end{aligned}[/tex]
[tex]\begin{aligned}& =6(1)+\frac{1}{3}\left[\frac{1^3}{3}-\frac{0^3}{3}\right] \\& =6+\frac{1}{3}\left[\frac{1}{3}-0\right] \\& =6+\frac{1}{9} \\& =\frac{54+1}{9}\end{aligned}[/tex]
= 55/9
Therefore, required arc length is 55/9
NOTE:
For a vector valued function,
[tex]\mathbf{r}(t)=\langle x(t), y(t), z(t)\rangle[/tex] arc length fro a to b
[tex]L=\int_a^b \sqrt{\left(x^{\prime}(t)\right)^2+\left(y^{\prime}(t)\right)^2+\left(z^{\prime}(t)\right)^2} d t[/tex]
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What is a ratio Class 6?
A ratio is a comparison of two or more numbers expressed as a fraction, such as 3/4 or 4:5. It is used to compare the size or amount of two or more objects or quantities. Ratios can also be expressed as a percent or as a decimal.
A ratio is a comparison of two or more numbers expressed as a fraction. The ratio is written as two numbers separated by a colon (:), or as a fraction. The numbers in the ratio are compared to each other to indicate the size or amount of the objects or quantities being compared. For example, 3:4 means that for every 3 objects, there are 4 of the other object. This can also be written as a fraction, 3/4, to indicate that for every 3 objects, there are 4 of the other object. Ratios can also be expressed as a percent or as a decimal. For example, 3:4 can be expressed as 75% or 0.75.
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factors of 12 that are also squared in numbers
Tim drives at an average speed of 80 km per hour for 3 hours 45 minutes.
Work out how many kilometres Tim drives.
Answer:
To solve this problem, we will use the following steps:
Step 1: Convert the minutes to hours by dividing the minutes by 60: 45 minutes / 60 = 0.75 hours
Step 2: Add the hours and minutes together to find the total time: 3 hours + 0.75 hours = 3.75 hours
Step 3: Multiply the total time by the average speed to find the distance: 3.75 hours * 80 km/hour = 300 km
Final Answer: Tim drives 300 km.
a farmer wants to plant three rectangular fields so that the widths are the same. the areas of the fields, in square yards, are given by the expressions 12x^3y , 6xy^4 , 21xy. what is the greatest possible widths of the fields if x=3 and y=2.
The widths of the three fields are the same and equal to x, since that is the variable used in the expressions for the areas of the fields.
To find the greatest possible width, you need to find the highest value of x that satisfies the given conditions. You can substitute x=3 and y=2 in the expressions for the areas of the fields and compare them.
Area of field 1 = 12x^3y = 12 * 3^3 * 2 = 12 * 27 * 2 = 648 square yards Area of field 2 = 6xy^4 = 6 * 3 * 2^4 = 6 * 3 * 16 = 288 square yards Area of field 3 = 21xy = 21 * 3 * 2 = 126 square yards
All three fields have the same width of x = 3 yards, and the width is the greatest possible width.
a radio station plays 12 songs each hour. they never stop for commercials, news, weather, or traffic reports. write an expression to describe how many songs are played by the radio station every h hours.
The expression describing how many songs are played by the radio station in H hours is 12H
The phrase used to describe how many songs the radio station plays in H hours is Number of songs = 12 xH
288 songs are played in a 24-hour period.
60 nonstop songs are played over the course of 5 hours.
Given
Every hour, a radio station plays 12 songs.
Compose an expression that indicates how many songs the radio station plays in H hours.
There are 12 songs performed throughout an hour.
Then,
Number of songs= songs played in one-hour x songs played in H hour
Number of songs=12H
The expression describing how many songs are played by the radio station in H hours is 12H
The phrase used to describe how many songs the radio station plays in H hours is 12H
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Isabel is going to rent a truck for one day. there are two companies she can choose from, and they have the following prices. company a charges $90 and allows unlimited mileage. company b has an initial fee of $75 and charges an additional $0.60 for every mile driven. for what mileages will company a charge less than company b? use m for the number of miles driven, and solve your inequality for m .
Company A charges $90 for unlimited mileages, while company B charges $75 initial fee and #0.6 per mile driven. Company A will charge less than company B if the number of miles driven is greater than 25 miles or m > 25.
To solve the problem, we need to translate the word problem into equations.
Let C(A) and C(B) represent the cost charged by company A and B respectively. Let m = the number of mileages.
Company A charges $90 and allows unlimited mileage, it means the charge is a constant and it is not a function of mileage.
Hence,
C(A) = 90
Company B has an initial fee of $75 and charges an additional $0.60 for every mile driven. Hence,
C(B) = 75 + 0.6 m
The inequality that translate: for what mileages will company A charge less than company B is:
C(A) < C(B)
90 < 75 + 0.6 m
To solve the above inequality, subtract 75 from both sides:
90 - 75 < 75 + 0.6 m - 75
15 < 0.6 m
m > 15/0.6
m > 25
Hence, if the mileages > 25 miles, company A charges less than company B.
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a consumer group surveyed 146 airplane travelers after a flight and found that 132 of them would fly that airline again. find the standard error for the sample proportion of airline travelers who would fly on that airline again.
According to the given information the standard error for the sample proportion is 0.024.
How is percentage calculated?When determining if two ratios as well as fractions are equivalent, using proportion formula is utilized. By dividing the supplied numbers, we may determine the missing value. One way to express the percentage formula is as a: Whereas a and d are indeed the extremes values and b and c are indeed the mean terms, a: b::c : d = a/b = c/d
Sample size (n) = 146 participants
The percentage (p) of respondents who said they would be interested in attending the program again is as follows:
[tex]\begin{aligned}& p=\frac{132}{146} \\& p=0.9041\end{aligned}[/tex]
For a sample of size "n" and percentage "p," the standard error is as follows:
[tex]\begin{aligned}& S E=\sqrt{\frac{p *(1-p)}{n}} \\& S E=\sqrt{\frac{0.9041 *(1-0.9041)}{146}} \\& S E=0.024\end{aligned}[/tex]
The sample percentage of viewers who wish to see the show again has a standard error of 0.024.
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Can a 3x3 matrix have infinite solutions?
Yes, a 3x3 matrix can have infinite solutions. This is because if the determinant of the matrix is zero, the system of equations has an infinite number of solutions.
A 3x3 matrix is a system of three equations with three unknowns.
For a system of linear equations to have a unique solution, the determinant of the matrix must not be zero. If the determinant of the matrix is zero, then the system of equations has an infinite number of solutions.
Therefore, a 3x3 matrix can have infinite solutions if the determinant of the matrix is zero.
Yes, a 3x3 matrix can have infinite solutions. This is because if the determinant of the matrix is zero, the system of equations has an infinite number of solutions.
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in a pen-and-paper role-playing game, a 10-sided die is rolled. each side of the die is labeled with a number from 1 to 10. a player succeeds if a 9 or 10 is rolled, what is the probability of success?
The probability of success is 0.2. The result is obtained by adding the probability of getting 9 and the probability of getting 10.
How to calculate probability?Probability of an event can be expressed as
P(A) = n(A) / n(S)
Where
P(A) is the probability of an event An(A) is the number of favorable outcomesn(S) is the total number of events in the sample spaceThe probability of A or B can be calculated by
P(A or B) = P(A + P(B)
A 10-sided die is rolled. Each side of the die is labeled with a number from 1 to 10. A number of 9 or 10 should be rolled to make a player succeed. Find the probability of success!
The number of each side of die are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
The probability of success is the probability of getting 9 or 10.
P(9) = 1/10
P(10) = 1/10
P(9 or 10) = P(9) + P(10)
P(9 or 10) = 1/10 + 1/10
P(9 or 10) = 2/10
P(9 or 10) = 1/5
P(9 or 10) = 0.2
Hence, the probability that a player would succeed is 0.2.
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Jolon drew the figure that is shown below.
mc005-1 ( the graph see picture )
Jolon translated the figure left 5 units and down 4 units. What are the new coordinates of point C?
(–4, 0)
(0, 0)
(0, –3)
(1, –4)
Answer:
(0,-3)
Step-by-step explanation:
C( 5,1)
5 is the horizontal value. It is the distance from zero. If we go 5 units left we will be at 0
1 is the vertical value. Is is the distance above the x axis. If we go down 4 units, we will be at -3
(0,-3)
3. In the figure, DE and DF are midsegments of AABC. Find BC. (Example 3) 1 point
B
D
122°
E
8
А.
F
с
15
O A 8
B. 15
C. 16
O D. 30
The midsegments of AABC, hypotenuse BC is B. 15.
In a triangle, a midsegment is a line segment that connects the midpoints of two non-adjacent sides of the triangle. In this figure, DE and DF are the midsegments of AABC, which means that they connect the midpoints of the sides AB and AC, respectively. Since DE and DF are parallel, we know the triangle isosceles (both legs are congruent).
Since the angle at A is 122°, we know that the angle at B and C are 78° (180-122=58). Therefore, if we draw the altitude from B to AC, we have a 30-78-72 triangle. We have been given the length of the altitude, 8, and the angle of the base, 72. We can use the Sine Ratio to calculate the hypotenuse, BC.
sin(72) = opposite / hypotenuse = 8/BC
Solving for BC, we get 15
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3.4.Sarah, Lilly and Paula make R1 200 profit from selling cakes. Determine how much profit each girl receives if they invested in the ratio 1:2:3.
Profit made by each girl Sarah, Lilly and Paula respectivly are R 200 , R 400 and R 600
What is Ratio and Proportion ?A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. Indicators of proportions include "::" and "=".
The amount of investment done by each girl Sarah, Lily and Paula respectivly is x, 2x and 3x
So, the profit will be
x + 2x + 3x = 1200
⇒6x =1200
⇒ x = 200
Profit made by each girl respectivly are x = R 200 , 2x = R 400 and 3x = R 600.
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tdap is a booster shot that prevents diphtheria, tetanus, and pertussis in adults and adolescents. it should be administered every 8 years for it to remain effective. a random sample of 500 people living in a town that experienced a pertussis outbreak this year were divided into two groups. group 1 was made up of 132 individuals who had not had the tdap booster in the past 8 years, and group 2 consisted of 368 individuals who had. in group 1, 15 individuals caught pertussis during the outbreak, and in group 2, 11 individuals caught pertussis. is there evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were? test at the 0.05 level of significance.
Answer: To determine if there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were, we can conduct a two-sample proportion test.
The null hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is the same as the proportion of individuals who caught pertussis and were up to date on their booster shot.
H0: p1 = p2
The alternative hypothesis is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than the proportion of individuals who caught pertussis and were up to date on their booster shot.
Ha: p1 > p2
Using a two-sample proportion test with a significance level of 0.05, we can calculate the test statistic and p-value.
p1 = 15/132 = 0.1136
p2 = 11/368 = 0.0301
p = (15 + 11)/(132 + 368) = 0.0564
SE = sqrt{p(1-p)((1/132)+(1/368))} = 0.0165
z = (p1 - p2) / SE = 4.0491
p-value = P(z > 4.0491) = 0.0000
Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.
Step-by-step explanation:
if the nth term of an ap is 4n+1,then it's 3''' term is
If the nth term of an arithmetic progression - ap is 4n + 1, then it's third term is 13
How to find the nth term of the apThe term in the third is solved using the rule of the sequence
The the formula for the nth term as
= 4n + 1
for n = position of term = 3
solving for the third term
= 4n + 1
substituting known variables
= 4 * 3 + 1
= 12 + 1
= 13
the third term of the sequence is 13
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please solve for area and perimeter
The area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.
What is area and perimeter?
The area of a shape or figure is its area, whereas the perimeter of a shape is its outer boundary over a given distance. Area is measured in square units or unit2 while perimeter is measured in the same unit.
The circumference of a shape is known as its perimeter. The lengths of all four sides must be added in order to determine a rectangle's or square's perimeter.
Radius, r = 8 cm
Perimeter of a circle = 2πr
Perimeter of s quarter circle = 2πr/4 = 1/2πr
Perimeter of Shaded part = 1/2 * 2πr
= 1/2 × 2 × π × 8
= 8πcm.
Area of a circle = 2πr²
Area of quarter circle = 2πr²/4 = 1/2πr²
Area of a square = length ²
Area of Shaded part = Area of Quarter-circle - Area of Square
= 0.5π(8)² - 8²
= 0.5π(64) - 64
Area of Shaded part = 36.53 cm^2
Hence, the area of the shaded region is 36.53 cm^2 and the perimeter of the shaded region is 8π cm.
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Can you come up with the equation for the graph to the left in y = mx + b form?
Answer:
hope this helps you to understand.
g what are differences or similarities between everyday logic and mathematical logic? how can the study of mathematical logic help you in your everyday life?
The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.
Everyday logic and mathematical logic are similar in that they both involve reasoning and drawing conclusions based on evidence or information. However, mathematical logic is a more formal and precise system of reasoning that is used in mathematics, computer science, and other fields. It involves using symbols and formal languages to represent statements and arguments, and it often involves the use of mathematical proofs to demonstrate the validity of a conclusion.
The study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically. It can also help you understand the foundations of computer science and the way that computers process information. Additionally, it can help you become more comfortable with using formal language and reasoning, which can be useful in fields such as law, philosophy, and science.
Thus, the study of mathematical logic can help you in your everyday life by developing your ability to think logically and critically.
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5. Find the distance between (-1, -1) and (1, 1). Round to the nearest tenth if needed.
A. 6
B. 2.9
C. 2.8
D. 31
Answer: C. [tex]2.8[/tex]
Step-by-step explanation:
Using the distance formula, [tex]\sqrt{(-1-1)^2 +(-1-1)^2} \approx 2.8[/tex].
Find The Range of y-x=3
Have a conversation with your guardian regarding monthly expenses/budget in different sectors and represent the information in pie chart and frequency curve
Therefore , the solution of the given problem of pie chart comes out to be the amount he spent on living expenditures was $1634.5.
Define pie chart.A pie chart, also known as a circle chart, is a visual representation of the various values of a given variable or a way to summarize a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. Each segment stands for a specific category.
Here,
living expenses are 35% of the monthly budgeted income of $4670.
Next, we must utilize the rule of four:
4670 $ => 100%
x=> 35%
Clearing x:
=> x=(35/100)*(4670)
=> x=1634.5$
The amount he spent on living expenditures was $1634.5.
Therefore , the solution of the given problem of pie chart comes out to be the amount he spent on living expenditures was $1634.5.
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750=1000*(1-(1/(1.01^139)))+(R/(1.01^140)
The value of R for the given expression will be 0.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 750=1000 x (1-(1/(1.01¹³⁹)))+(R/(1.01¹⁴⁰). The expression for the R will be solved as below,
750=1000 x (1-(1/(1.01¹³⁹)))+(R/(1.01¹⁴⁰)
1000(1 - 1 / 4 + R / 4 ) = 750
1000(4 -1 + R ) / 4 = 750
1000 ( 3 + R ) = 3000
3 + R = 3
R = 3 - 3
R - 0
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