Answer
[tex]f(t) = 91000 *1.0376^t[/tex]
Explanation
Given
[tex]a = 91000[/tex] -- initial
[tex]r = 3.76\%[/tex]
Required
The exponential equation
The exponential equation is:
[tex]y =ab^t[/tex]
Where
[tex]b=1 +r[/tex]
We used minus, because the rate increases..
So, we have:
[tex]b=1 +3.76\%[/tex]
[tex]b=1 +0.0376[/tex]
[tex]b=1.0376[/tex]
So:
[tex]y =ab^t[/tex]
[tex]y = 91000 *1.0376^t[/tex]
Hence:
[tex]f(t) = 91000 *1.0376^t[/tex]
Consider the differential equation dy/dx = 1/3x(y-2)^2.
(a) A slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point (0, 2), and sketch the solution curve that passes through the point (1, 0).
(b) Let y = f(x) be the particular solution to the given differential equation with initial condition f(1) = 0. Write an equation for the line tangent to the graph of y = f(x) at x = 1. Use your equation to approximate f(0.7).
(c) Find the particular solution y = f(x) to the given differential equation with initial condition f(1) = 0.
The graph is given below and the value of the function is -0.4 at x = 0.7.
What is a differential equation?Any equation with a variable difference in it is a difference equation. The following variables affect how different equations are categorized. • The equation's order. The highest order of difference in the equation is represented by the order.
y = Mt (x - 1) + 0
Where Mt = 1/3* 1(0-2)²
Mt = 1/3*4
Mt = 4/3
From equation 1
y = (4/3)(x - 1)
Function at x = 0.7
f(0.7) = 4/3(0.7 -1 )
= 4/3(-0.3)
F(0.7) = -2/5
Let, u = y - 2
du = dy
[tex]\int\limits {1/(y-2)^2} \, dy = \int\limits {x/3} \, dx \\\int\limits{du/ u^2} \, du = 1/3 \int\limits{x} \, dx[/tex]
-1/u = 1/3( x²/2) + c
-1/(y+2) = x²/6 + c
At point(1 , 0 )
c = 2/6
Thus
-1/(y-2) = x²/ 6 - 1/3
y = -6/(x² + 2) + 2
Therefore, value of the function is -0.4 at x = 0.7.and function at x = 1 is
y = -6/(x² + 2) + 2
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Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
someone mind helping me in the question......thank you :) ....
Answer:
NY: 4cm + 3cm = 7cm
XY: 8cm + 3cm = 11cm
Step-by-step explanation:
1. find the difference between XN and MN
2. use the difference to add to the value LN and LM
find the measure of m
Answer:
47*
Step-by-step explanation:
Each corner of the square is 90*
angle CBE + angle ABE = 90*
fill in the blanks
43 + x = 90
subtract 43 from both sides
x = 47*
The members of the Rough Bikers Club pay per summer season, plus each time they rent a bike. Nonmembers must pay each time they rent a bike.
a) How many times would a member and a non-member have to rent a bike in order to pay the same amount?
b) How much is that same amount?
Members and non-members will pay the same when renting a bike
times.
They will pay $
. Do not write the dollar sign.
calculations are also used in statistical predictions of the likely election results, these calculations yield ranges of possibilities rather than precise results.
Given,
Member of the club paying for rental bike =
10
non-member of the club paying for rental bike = 15
Also for summer season member had given $100.
Bike taken by members = x
Bike taken by non-members = y
to pay same amount,
100+10x = 15y
1. let's take x=1
110=15y
y!= integer
x can't be 1
2. let's take x=2
120 = 15y
y = 8 i.e. an integer value
So, members will take bike on rent for 2
times and non-members for 8 times.
And the amount is 120.
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A company is painting the exterior walls of a warehouse. find the lateral surface are of the walls in square feet if the walls are 100 ft., 200 ft, and 30 ft
The lateral surface area of the walls of the warehouse is 18,000 sq ft.
Area is a measure of the size of a surface or the amount of space that a two-dimensional shape occupies. It is typically measured in square units, such as square feet or square meters. The area of a shape is calculated by multiplying the length and width of the shape together.
To find the lateral surface area of the walls of the warehouse, you need to find the combined area of all the exterior walls. To do this, you can use the formula for lateral surface area, which is:
Lateral Surface Area = 2 * (l * h + w * h)
where l is the length of the wall, w is the width of the wall, and h is the height of the wall.
Using this formula, we can find the lateral surface area of each wall and add them together to get the total lateral surface area:
Wall 1: Lateral Surface Area = 2 * (100 ft * 30 ft) = 6,000 sq ft
Wall 2: Lateral Surface Area = 2 * (200 ft * 30 ft) = 12,000 sq ft
Total Lateral Surface Area = 6,000 sq ft + 12,000 sq ft = 18,000 sq ft
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write y=5/12x-1/2 in standard form
Answer:
1 - (5/6)x = 2y
Step-by-step explanation:
To write the equation y = 5/12x - 1/2 in standard form, we need to first get rid of the fractions by multiplying both sides of the equation by the least common denominator of the fractions, which in this case is 12. This gives us the equation 12y = 5x - 6. Next, we can rearrange the terms on the right-hand side of the equation to get 6 - 5x = 12y. Finally, we can divide both sides of the equation by 6 to get the equation in standard form, which is 1 - (5/6)x = 2y. The standard form of the equation is thus 1 - (5/6)x = 2y.
Answer:
5/12x = y - 6
Step-by-step explanation:
To write the equation y = 5/12x - 1/2 in standard form, we need to first move all the terms that contain x to one side of the equation and all the constants to the other side. This will give us the equation 5/12x - y = -1/2. Next, we need to multiply both sides of the equation by the denominator of the fraction on the right-hand side to eliminate the fraction. This gives us 5/12x - y = -6. Finally, we need to add y to both sides of the equation to obtain the standard form of the equation, which is 5/12x = -6 + y. This can be written more concisely as 5/12x = y - 6. Therefore, the equation y = 5/12x - 1/2 can be written in standard form as 5/12x = y - 6.
If 3(x+1)=4x-1, then x=
Answer:
X = 4Step-by-step explanation:
To solve the equation 3(x+1) = 4x-1, we need to use the rules of algebra to isolate the variable "x" on one side of the equation and simplify the other side.
First, we can distribute the 3 on the left side of the equation to obtain 3x + 31 = 4x-1. This gives us 3x + 3 = 4x-1.
Next, we can subtract 3x from both sides of the equation to obtain 3 + 3 = 4x-1-3x. This simplifies to 3 = x-1.
Now we can add 1 to both sides of the equation to obtain 3+1 = x. This gives us the final solution x = 4.
Therefore, the solution to the equation 3(x+1) = 4x-1 is x = 4.
a volunteer group decided to pick up trash along a stretch of road measuring five and one third miles. the group divided into five teams to cover an equal distance. What distance will each group have to cover?
Answer: 1 [tex]\frac{1}{15}[/tex] miles
Step-by-step explanation:
We will divide the length of the road, five and one-third miles by the number of groups, five teams, to find the answer to this question.
(5 1/3) / 5 = (16/3) / 5 = (16/3) * (1/5) = 16/15 = 1 1/15 miles
* Note: We can use "keep change flip" when multiplying with fractions. Keep the first number, change to multiplication, flip to the reciprocal of the second number
Using the quadratic formula to solve 2x² = 4x-7, what are the values of x?
O2+√101
2±
O 1± 101
2± √/10/
2
O 1± √√51
Answer:
x would be equal to 5 and the other one to your right would be 3 because O1t is aka known as a linear expression so you would have the multiply by 2 and use and exponent square
Naill was trying to find the value of
1+2+3+4+5......+2020
but forgot one number. His result was a multiple of 2015. Which number did he forgot?
Answer:
please set me in star
A manufacturer puts tires on two cars (four tires each). Each tire has a 10% probability of being flat. Assume the manufacturer puts four tires on one car first and then another four on the next car second. What's the probability that there is at least one car that has no working tires?
The probability that there is at least one car that has no working tires is given as follows:
0.0002 = 0.02%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.For each car, the parameters are given as follows:
p = 0.9, n = 4.
Hence the probability that a car has no working tires is given as follows:
P(X = 0) = (1 - 0.9)^4 = 0.0001.
Hence the probability that two cars have working tires is given as follows:
P(X = 2) = (1 - 0.0001)² = 0.9998.
The probability that at least one has no working tires is given as follows:
P(X < 2) = 1 - 0.9998 = 0.0002 = 0.02%.
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It is a popular misconception that nuclear fusion power is free of radioactivity; in fact, the deuterium-tritium reaction that nuclear scientists are currently exploring with such zeal produces both alpha particles and neutrons. (The neutrons are used to produce tritium from a lithium blanket surrounding the reactor.) Another common misconception is that nuclear fusion power is a virtually unlimited source of energy because of the enormous quantity of deuterium in the sea. Actually, its limits are set by the amount of available lithium, which is about as plentiful as uranium in the Earth's crust. Research should certainly continue on controlled nuclear fusion, but no energy program should be premised on its existence until it has proven practical. For the immediate future, we must continue to use hydroelectric power, nuclear fission, and fossil fuels to meet our energy needs. The energy sources already in major use arc in major use for good reason.
The primary purpose of the passage is to caution against uncritical embrace of nuclear fusion power as a major energy source.
Why is nuclear fusion important?Nuclear fission generates a significant amount of radioactive waste, which can be hazardous and needs to be stored securely for a long period of time. Nuclear fusion waste has a lower radioactivity and decays significantly more quickly. Fossil fuels like gas and oil are not required for nuclear fusion.
What is radioactivity?Radiation that is released voluntarily is referred to as radioactivity. An atomic nucleus that is unstable for some reason accomplishes this by "wanting" to give up some energy in order to change its configuration to one that is more stable.
The passage begins by classifying as misconceptions favorable views about nuclear fusion power and finishes by recommending the use of current energy sources going forward rather than nuclear fusion power. All of this adds up to the text trying to warn against uncritically embracing nuclear fusion power as a major source of energy.
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describe a procedure that you would use to localize the protein dynein in tissue sections of esophagus and trachea. indicate the results that you would expect from such an analysis.
Therefore, the five steps are taken to localize the protein dynein in tissue sections of the esophagus and trachea.
What is localization?Any procedure that involves moving, attaching to, or otherwise maintaining a cell, substance, or cellular entity in one place, like an organelle or protein complex. Substance localisation can also be accomplished through selective degradation.
In this case,
the steps that are done in order to localize the protein dynein in tissue sections of the esophagus and trachea are as follows:
1. Histoclear removes the medium to enable the labeling of the antibodies
2. to rehydrate the sample, add water.
3. Using BSA blocking solution after Triton X- 100, which ruptures membranes and makes antigens more accessible to antibodies
(4) Add the dynein antibody.
5. include a secondary antibody that is likewise peroxidase-active (adds specificity)
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Jim has to choose between two gym membership plans. Plan A: $50 monthly membership fee and $10 per visit. Plan B: $25 one time membership fee and $15 per visit. How many visits must Jim make to make Plan A the cheaper option?
How many visits for them to cost the same?
Answer:
Plan B is better than Plan A as B is cheaper than A.
Since we have given that
Plan A consist of :
Amount for monthly membership fee = $50
Cost per visit = $10
Equation of total fees would be
Plan B consist of :
Amount for monthly one time membership fee = $25
Cost per visit = 15
Equation of total fees would be
Here , x denotes the number of visits.
Let us suppose x = 1
Then , fees for plan A would be
Fees for plan B would be
Hence, Plan B is better than Plan A as B is cheaper than A.
Is (2, 10) a solution to this system of equations?
y = x + 8
y = 10x + 3
yes
Submit
no
Point (2,10) is not satisfying the linear function y = 10x + 3 thus it will be not the solution of the system of equations.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given point (2,10)
Put it into y = x + 8
10 = 2 + 10 = 10 (satisfy)
Put it into y = 10x + 3
10 = 10 x 2 + 3 = 23 ≠ 10 (Not satisfy)
Hence "Point (2,10) will not be the system of equations' solution since it does not fulfill the linear function y = 10x + 3".
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vi
18,500
-how did you divide this? 1,295 divided by 18,500
Answer:
0.07
Step-by-step explanation:
i literally don’t know
Answer:
Reason 5.
All right angles are congruent.
Reason 6.
ASA
(You have 2 angles and the included side of the two triangles, so by ASA (angle-side-angle) the triangles are congruent.)
NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)
The probability of not selecting any of the correct six integers in a lottery is 0.18. This is calculated by subtracting the probability of selecting all the correct integers from 1, and the probability of selecting all the correct integers is the product of the probabilities of selecting each of the integers.
The probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers is 0.18. To calculate this probability, we must first find the probability of selecting all the correct integers. This is done by calculating the probability of selecting each of the integers individually and multiplying them together. For example, the probability of selecting 6 is 1/5, since there are five positive integers not exceeding 6. The probability of selecting 8 is 2/5, since there are five positive integers not exceeding 8 and two of them are 8. The probability of selecting 9 is 3/5, since there are five positive integers not exceeding 9 and three of them are 9. The probability of selecting 10 is 4/5, since there are five not exceeding 10 and four of them are 10. The probability of selecting 11 is 5/5, since there are five positive integers not exceeding 11 and five of them are 11
Probability of selecting all the correct integer
= (1/5)*(2/5)*(3/5)*(4/5)*(5/5)
= 0.18
Probability of selecting none of the correct integers
= 1 - 0.18 = 0.18
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The complete question is
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)Given: 6, 8, 9, 10, 11
WHAT IS THE M(X) IN THE REGRETION EQUATION Y=20.23*X+516.1
The M(x) or the estimate slope is 20.23X
What is the regression equation?A regression equation is used in stats to find out what relationship, if any, exists between sets of data. For example, if you measure a child’s height every year you might find that they grow about 3 inches a year. That trend (growing three inches a year) can be modeled with a regression equation.
[tex]Y_i=f(X_i, \beta)+e_i[/tex] [tex]Y_i[/tex] = dependent variable
[tex]X_i[/tex] = independent variable
[tex]\beta[/tex] = unknown parameters
[tex]e_i[/tex] = error terms
Given here, Y=20.23*X+516.1
Thus comparing it with the equation above we can deduce that
M(x) = 20.23x
Hence The M(x) or the estimate slope is 20.23X
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If the 8th term of a sequence is 256, and the 5th term of the sequence is 32, the common ratio is:
The geometric sequence have a common ratio of 2
Geometric SequenceGeometric progression (GP) is a type of sequence where each next term is gotten by multiplying each previous term by a fixed number, which is called a common ratio.
In this problem, we must write out two equations to find the common ratio.
Let;
r = common ratioa = first termThe nth term of a GP is given as;
Tn = arⁿ⁻¹
T₈ = ar⁷
256 = ar⁷ ...eq(i)
T₅ = 32
32 = ar⁴ ...eq(ii)
Dividing equation (i) by equation (ii)
256 / 32 = ar⁷ / ar⁴
8 = r⁷⁻⁴
8 = r³
r = ∛8
r = 2
The common ratio of the geometric sequence is 2
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Find the gradient of the curve
y = 5x − 10/x^2
at the point where the curve crosses the x-axis
The gradient of a line is computed by dividing the difference between the -coordinates by the difference between the -coordinates.
How to work out the gradient of a straight line graph?The gradient is the amount of vertical movement for each unit of rightward horizontal movement. The slope becomes steeper the higher the grade.From left to right, a positive gradient rises. From left to right, a downward slope may be seen.The steepness of a gradient of 2 and a gradient of -2 are both 2. A gradient of 2 slopes up from left to right, and a gradient of -2 slopes down from left to right.The gradient is identical for parallel lines.The slopes on perpendicular lines are opposite. One has a gradient that is positive, whereas the other has a gradient that is negative. Their gradients have a product of -1.The Complete Question gradient of a line.
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may someone give me the answer
Answer:
x represents the number of hours.
(y) distance because the distance depends on the number of hours traveled.
H(x) = 50x
H(5) = 50(5)
H(5) - 250 miles
After 5 hours of driving at 50 miles per hour, the car has traveled 250 miles.
Step-by-step explanation:
one and three fifths plus three and two thirds equals blank
Answer: 5 4/15
Step-by-step explanation:
1 3/5 + 3 2/3 = 8/5 + 11/3
Find the common denominator (5 and 3) = 15
So 8/5 equals to 24/15 because if 5 x 3 = 15 , 8 must also multiply by 3.
11/3 equals to 55/15 because if 3 x 5 = 15 , 11 must also multiply by 5.
Thus 24/15 + 55/15 = 79/15
This is an improper fraction, so converting to mixed number:
79/15 = 5 4/15 because 5 x 15 + 4 = 79
In the article "Foods, Fortificants, and Supplements: Where Do Americans Get Their Nutrients?" researchers analyze the nutrient and vitamin intake from a random sample of 16,110 U.S. residents. Researchers compare the level of daily vitamin intake for vitamin A, vitamin B-6, vitamin B-12, vitamin C, vitamin D, vitamin E and calcium. Unless otherwise stated, all hypothesis tests in the study are conducted at the 5% significance level.
Researchers conduct a hypothesis test to determine if the proportion of U.S. residents consuming recommended levels of calcium is different among women and men. The p-value is 0.035, and researchers conduct this test at a 5% level of significance. What does a p-value of 0.035 mean?
There is a 3.5% chance that there is no difference in calcium consumption for women and men.
If the calcium consumption rates are different for the women and men, there is a 3.5% chance that future experiments will show the same difference in calcium consumption as observed in this experiment.
If calcium consumption is the same for women and men, there is a 3.5% chance that future studies will show differences in calcium consumption greater than observed in this study.
If calcium consumption is the same for women and men, there is a 3.5% chance that calcium consumption will be different in future experiments.
There is sufficient evidence from the hypothesis test, with a p-value of 0.035 < 0.05, to say that men and women in the United States consume different amounts of calcium.
Why are there hypotheses and null hypotheses?The evidence for the null and alternative hypotheses, which are two competing statements, are compared using a statistical test. Null hypothesis or population impact does not exist (H0). An alternate hypothesis, or population effect, exists (Ha or H1).
Here,
The proportion between men and women is examined at the null hypothesis as follows:
[tex]H_{0}[/tex] : u1 - u2= 0
If the proportions are different under the alternative hypothesis, then:
[tex]H_{A}[/tex] : u1 - u2 ≠ 0
There is adequate data to determine that men and women in the United States consume different percentages of the necessary calcium levels because the p-value is 0.035 0.05.
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Suppose line g is the line with the equation y = x. Given A(7, -3), B(7, 3), and C(-1, -7), what are the coordinates of the vertices of ΔA’B’C’ for the reflection?
Answer:
Below in bold.
Step-by-step explanation:
A reflection in the line y = x is described as;
(x, y) ---> (y, x)
So, A' = (-3, 7)
B' = (3, 7)
C' = (-7, -1).
Answer the following questions.
1) Choose the equation of a line parallel to the given equation and passing through a point P.
x+2 y=5 ; P=(2,-5)
y=-1/2 x-1
y=2 x-4
y=-2 x-1
y=-1/2 x-4
2) Choose the equation of a line parallel to the given equation and passing through a point P.
-3 x-y=-4 ; P=(1,4)
y=-3 x+5
y=-3 x+7
$y=1/3 x-3
$y=1/3x+7
The linear functions in this problem are given as follows:
1. y = -x/2 - 4.
2. y = -3x + 7.
How to define the linear functions?Considering the options in these problems, the linear functions are defined in slope-intercept format, given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope.b is the y-intercept.The slope-intercept definition of the two equations presented in this problem are given as follows:
y = -0.5x - 5.y = -3x + 4.When two linear functions are parallel, they have the same slope, hence the two functions will be given as follows:
y = -0.5x + b.y = -3x + b.For item 1, when x = 2, y = -5, hence the intercept b is calculated as follows:
-5 = -0.5(2) + b
b = -5 + 1
b = -4.
For item 2, when x = 1, y = 4, hence the intercept b is calculated as follows:
4 = -3(1) + b
b = 7.
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The area of a rectangle is 9/10 square meter. The width is 2/5 meter. b. How many times greater is the length than the width? Write your answer in simplest form.
Answer:
Step-by-step explanation:
a = lw
l = a/w
l = (9/10)/(2/5) = (9/4)
l/w = (9/4)/(2/5) = 5 5/8 times greater
Answer:
4.5/2 = 2.25
Dif: 2.25/0.4 = 5.625 times greater
Hope this helps
Everv goat has eaten a wolf: There is a wolf who has eaten every goat; Every goat is eaten by a wolf Some goat was eaten by wolf: Question 6 (1 point) Let A - { 1,2,3 and B = { 5,4,2,3 }. Select all that are true from below: A U B = {5,3,2,4] A 0 B = { 2 , 3 } A - B = { 1,3 } B - A = {4,5 }'
All of the statements are true.
Here is a breakdown of the set operations:
A U B (the union of A and B) is the set of all elements that belong to either A or B or both. In this case, the elements that belong to
A U B are {5, 3, 2, 4}, as these are the elements that belong to either A or B.A ∩ B (the intersection of A and B) is the set of all elements that belong to both A and B. In this case, the elements that belong to
A ∩ B are {2, 3}, as these are the elements that belong to both A and B.A - B (the difference between A and B) is the set of all elements that belong to A but not to B. In this case, the elements that belong to
A - B are {1}, as 1 belongs to A but not to B.B - A (the difference between B and A) is the set of all elements that belong to B but not to A. In this case, the elements that belong to
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17.
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apple:
at the same grocery store are on sale at a 10% discount. What is the total price
1
of 4.
2
pounds of apples this
week at the grocery store?
A
$4.77
B
$6.48
$6.75
D
$6.93
Answer:
Totally It Would Be 6.48