The correct options are:
The domain is all real numbers.The base must be less than 1 and greater than 0.The function has a constant multiplicative rate of change.Given,
In the question:
Which statements are true about exponential decay functions?
Now, According to the question;
We know that the exponential function is given by:
[tex]f(x) = ab^x[/tex]
where a>0 and b are constants.
Also, it represents a growth function if b>1
and a decay function if 0<b<1
where b is the base.
x belongs to whole of the real numbers( since the exponential function is well defined for all the real values of x.Hence, the domain of the function is all the real numbers )
Also, the graph of a decay function decreases continuously i.e. with the increasing input value the output value decreases.The exponential decay function always have a constant multiplicative rate of change i.e. b.Learn more about Exponential Function at:
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Mario's pizzeria charges $264 for 24 pizzas. What is the restaurant's price for one pizza?
Answer:
The price for one pizza would be $11
Step-by-step explanation:
If its $264 for 24 pizzas you divide
264/24=11
Write 5√12 in the form √a where a is an integer to be found.
Answer:
a = 300
[tex]5 \sqrt{12} = \sqrt{25} \sqrt{12} = \sqrt{25 \times 12} = \sqrt{300} [/tex]
3410 students were surveyed.
It was found that the ratio of full-time students to part-time students was 7:4
How many full-time students were there?
How many part-time students were there?
Step-by-step explanation:
3410 students were surveyed. It was found that the ratio of full-time students to part-time students was 7:4 How many full-time students were there? How many part-time students were there?
7 + 4 = 11
3,410/11 = 310
full time: 310 * 7 = 2,170
part time: 310 * 4 = 1,240
Amount Desired at End of Period $ 8,900.00 Length of Time 4 Rate 6% Compounded Monthly
Required:
Complete the following using the information above and the preftrit value Table 12.3. the present value table in the Business Math Handbook, or the pres Office Online Frame answer the following:
Note: Use cells A2 to D3 from the given information to complete this question.
1. Period used
2. Rate Used
3. PV factor used
4. PV of amount desired at end of period
The period used = 4 years, Rate used = 6%, the PV factor used = 0.792, and the PV of the amount desired at end of the period = $7049.63.
According to the given question, the required solution would be as:
The period used = 4 years,
Rate Used = 6%
We know that,
PV factor = 1/(1+r)ⁿ
Here r = 6% = 6/100 = 0.06, and n = 4
PV factor = 1/(1+0.06)⁴
PV factor = 1/(1.06)⁴
PV factor = 0.792
PV of the amount desired at end of the period = FV/(1+r)ⁿ
Here FV = $8,900.00
PV of the amount desired at end of the period = 8,900.00/(1+0.06)⁴
PV of the amount desired at end of the period = 8,900.00/(1.06)⁴
PV of the amount desired at end of the period = $7049.63
Thus, the period used = 4 years, Rate used = 6%, the PV factor used = 0.792, and the PV of the amount desired at end of the period = $7049.63.
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Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car = six-cyl. compact
Years driven = first through third year
Miles driven = 15,000 first year; 14,000 second year; and 13,000 third year
Using method 2, the total costs for the first year, $____ , the second year $____ , the third year $____ , and all the years $____ in dollars and cents.
The total costs for the first year, $690 , the second year $560, the third year $442, and all the years $1692 in dollars and cents
Depreciation cost for the first year:
Depreciation = $15,000 × 0.046
Depreciation = $690
Depreciation cost for the second year:
Depreciation= $14,000 × 0.04
Depreciation = $560
Depreciation cost for the third year:
Depreciation= $13,000 × 0.034
Depreciation= $442
Total depreciation:
Total depreciation =$690 + $560 + $442
Total depreciation = $1,692.
Therefore the total depreciation is $1,692
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Mean a wrote messages to her friends on a sidewalk she used 1/3 of piece of truck that was originally 2 5/6 inches long how many inches of child did she use?
Mean uses [tex]\frac{17}{18}[/tex] inches of chalk
What is algebra ?
One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.
Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.
She used [tex]\frac{1}{3}[/tex] of a piece of chalk that was originally [tex]2\frac{5}{6}[/tex] inches long.
Now, we have to find how many inches of chalk did she use
= 1/3 × 2 5/6
= 1/3 × 17/6
= 17/18 inches.
Hence, Mean uses 17/18 inches of chalk.
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6:9=12:
I need the answer to the ratio number pls
USE AN ALGEBRAIC EQUATION TO FIND THE MEASURE OF EACH ANGLE THAT IS REPRESENTED IN TERMS OF X
Step-by-step explanation:
These two angles are vertical angles so they are equal to each other
[tex]13x - 26 = 9x + 30[/tex]
[tex]4x = 56[/tex]
[tex]x = 14[/tex]
So
[tex]9(14) + 30 = 156[/tex]
[tex]13(14) - 26 = 156[/tex]
The chart below shows the hourly pay and hours worked for JA Company's
four employees. A regular work week is 40 hours and overtime is paid at double time. Complete
the chart below
Employee
Jalen Smith
Kiara Grays
Tatiana Michel
Kisha Sil
Total wages
Hourly Pay
$9.25
$9.45
$9.75
$9.50
Hours Worked
40
32
42
36
Gross Pay
[370.00]
[302.40]
[429.00]
[342.00]
[1443.40
The completion of the chart showing the hourly pay, gross pay, and hours worked by four JA Company employees, including the total wages for the week is as follows:
Employee Hourly Pay Hours Worked Gross Pay
Jalen Smith $9.25 40 $370.00
Kiara Grays $9.45 32 $302.40
Tatiana Michel $9.75 42 $429.00
Kisha Sil $9.50 36 $342.00
Total wages $1,443.40
How is the gross pay determined?The gross pay for each employee is the product of the hourly pay and the hours worked.
For the employee, who worked 42 hours, the overtime pay is calculated at the double the regular hourly rate, which can also be described as double time.
The total wages are the addition of each employee's gross pay for the week.
Employee Hourly Pay Hours Worked Gross Pay
Jalen Smith $9.25 40 $370.00 ($9.25 x 40)
Kiara Grays $9.45 32 $302.40 ($9.45 x 32)
Tatiana Michel $9.75 42 $429.00 ($9.75 x 40 + (2 x 2 x $9.75)
Kisha Sil $9.50 36 $342.00 ($9.50 x 36)
Total wages $1,443.40
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This exercise refers to a standard deck of playing cards. assume that 5 cards are randomly chosen from the deck. How many hands contain exactly two 3s and two 5s
1584 hands(combination) contains two 3s and two 5s.
The query serves as an example of combination (also known as selections).
Two 3s are to be selected from 4 = 4C2
= 6
Two 5s are to be selected from 4 = 4C2
= 6
No. of cards in standard deck = 52
No. of remaining cards = 52 - 4 - 4
= 44
No. of remaining cards to be selected = 5 - 2 - 2
= 1
No. of last selection = 44C1
= 44
Total selection = 44 * 6 * 6
= 1584
Hence, total hands is 1584.
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Giuseppe’s buys supplies to make pizzas for $4. Operating expenses of the business are 110% of the cost and the profit made is 130% of cost. What is the regular selling price of each pizza?
If Giuseppe’s buys supplies to make pizzas for $4. Operating expenses of the business are 110% of the cost and the profit made is 130% of cost. the regular selling price of each pizza is: $13.60.
How to find the regular selling price?Using this formula to find the regular selling price
Regular selling price = Cost price × (Operating expenses + Profit +1)
Where:
Cost price =$4
Operating expenses = 110% or 1.1
Profit = 130% or 1.3
Let plug in the formula
Regular selling price =$4 × (1.1 +1.3 +1)
Regular selling price =$4 × 3.4
Regular selling price = $13.60
Therefore the regular selling price is $13.60.
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A vendor sells hot dogs and bags of potato chips a customer bay 5 hot dogs and 4 bags of potato chips for $17.25. Another buys 2 hotdogs and 2 bags of potato chips for $7.50.
Find the cost of each item
The cost for 1 hot dog is $2.25 and the cost for 1 bag of potato chips is $1.5 .
In the question ,
it is given that ,
a vendor is selling hot dogs and bags of potato chips ,
the customer bought 5 hot dogs and 4 bags of potato chips for $17.25
let the cost of 1 hot dog = h and
let the cost of 1 bag of potato chips = p
So , the equation is 5h + 4p = 17.25
and another customer buys , 2 hot dogs and 2 bags of chips
So , the equation is , 2h + 2p = 7.50
2p = 7.50 - 2h
and 4p = 15 - 4h
Substituting 4p = 15 - 4h in the equation 5h + 4p = 17.25 , we get
5h + 15 - 4h = 17.25
h + 15 = 17.25
h = 17.25 - 15
h = 2.25
and 4p = 15 - 4h
4p = 15 - 4(2.25)
4p = 15 - 9
4p = 6
p = 6/4
p = 1.5
Therefore , The cost for 1 hot dog is $2.25 and the cost for 1 bag of potato chips is $1.5 .
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A. EVALUATE Read each number. Then, write it in words. 1. 9.05 6. 76.120 7. 2.705 8. 4. 4.0739 9. 5. 48.002 10. 2. 3. Write 25.8366 17.3 2.8751 123.04 0.008
1. nine hundredths and five hundredths
2. seventy-six hundredths and twelve hundredths
3. two and seven hundred and fifty thousandths
4. four thousand seven hundred thirty-nine tenths
5. five hundred and eighty-two thousandths
6. twenty-five thousand three hundred sixty-six thousand tenths
7. 17 and three tenths
8. two million seven hundred fifty-one hundredths
9. nine hundred and twenty-three hundredths
10. eight thousandths of a percent
How can you put a decimal number into words?1. Write down the complete number.
2. Enter "and" as the decimal point.
3. The decimal part should be written exactly like a whole number.
4. Write down the place value of the last digit.
What exactly is a decimal?For both integer and non-integer numbers, the decimal numeral system is the most often used representational scheme. Non-integer values have been added to the Hindu-Arabic numeral system. The word "decimal notation" refers to the method through which decimal numbers are represented.
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On June 1, 2009, the price of gas was $1.79 per gallon. The price is
predicted to increase 0.3% per month. If that prediction is correct, about
how many months, to the nearest whole number, will it take for the price
of a gallon to reach $1.90?
The number of months that it would take for the price of the gallon to get to 1.90 dollars is 20 months.
How to solve for the number of monthsWe have the following details with which we are to solve this problem.
The price of gas is given as $1.79
The rate of increase is given as 0.3% = 0.003
We are to find the value for when it would be $1.90
The formula that would be used to solve this is given as
[tex]F = P * (1 + r)^n[/tex]
Where f = final value
p = present value
r = rate
n = number of months
From the question
f = 1.90
p = 1.79
r = 0.03
we have to put these values in the formula that we have here
[tex]1.9 = 1.79 * (1 + 0.03)^n[/tex]
[tex]1.9 = 1.79 * (1.003)^n[/tex]
Divide through by 1.79
[tex]\frac{1.9}{1.79} = (1.003)^n[/tex]
take the ln of both sides
[tex]ln\frac{1.9}{1.79} = nln(1.003)[/tex]
We have to simplify the equation above from this stage
ln1.0615 = n0.002995
0.05968 = n0.002995
divide through by the value of n
n = 0.05968 / 0.002995
n = 19.92
n ~ 20
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Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of many lifestyle variables including how many hours of sleep obtained on a typical day. Researchers found that visually impaired students averaged 8.77 hours of sleep, with a standard deviation of 2.18 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.
Answer:
Step-by-step explanation:
hours of sleep, with a standard deviation of1.93hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.
(a)What is the probability that a visually impaired student gets less than6.2hours of sleep?
answer:
(b)What is the probability that a visually impaired student gets between6.8and10.93hours of sleep?
answer:
(c)Thirty percent of students get less than how many hours of sleep on a typical day?
answer:
hours
See question in screenshot below:
The angle θ = 170° and θ = 350° have the same Sine and Cosine as 10° respectively
How to find angles that have the same Sine and Cosine as 10°?Since the Sine and Cosine of angle 10° are positive
In order to find an angle θ with 0° < θ < 360° that has the same Sine and
Cosine as 10°, we have to check the quadrants in Trigonometry where Sine and Cosine are positive
1st quadrant (0° - 90°) => Sine is positive (10° is here)
2nd quadrant (91° - 180°) => Sine is positive
3rd quadrant (181° - 270°) => None is postive
4th quadrant (271° - 360°) => Cosine is positive
We will consider the 2nd and 4th quadrants:
2nd quadrant: Sine 10° = Sine (180 - 10)° = Sine 170°
4th quadrant: Cosine 10° = Cosine (360 - 10)° = Cosine 350°
Therefore, θ = 170 degrees and θ = 350 degrees have the same Sine and Cosine as 10° respectively
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Find the perimeter or circumference and area of each figure.
The circumference of ΔAOC, ΔAOB and ΔABC are 4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.
What is perimeter of triangle?The perimeter of a triangle can be calculated by simply adding the length of all the sides.
What is area of triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
There are three triangle in the given diagram namely ΔAOC, ΔAOB and ΔABC.
We will find the area and circumference of each of the triangle.
First we find area of each triangle.
Area of ΔAOC = 1/2*CO*AO = 1/2*4*4 = 8 square units.
Area of ΔAOB = 1/2*BO*AO = 1/2*2*4 = 4 square units.
Area of ΔABC = 1/2*BC*AO = 1/2*6*4 = 12 square units.
Now, we will find circumference of each triangle.
Since, ΔAOC, ΔAOB are right angled triangle
⇒ AC = [tex]\sqrt{AO^{2}+OC^{2} }[/tex] = [tex]\sqrt{4^{2}+(-4)^{2} }[/tex] = [tex]\sqrt{32}[/tex] = 4√2 units.
and AB = [tex]\sqrt{AO^{2}+OB^{2} }[/tex] = [tex]\sqrt{4^{2}+2^{2} }[/tex] = [tex]\sqrt{20}[/tex] =2√5 units.
Circumference of ΔAOC = AC+CO+AO = 4√2+4+4 =4√2+8 = 4√2(1+√2) units.
Circumference of ΔAOB = AB+BO+AO = 2√5+2+4 =2√5+6= 2(√5+3)units.
Circumference of ΔABC = AB+BC+AC = 2√5+6+4√2 = 2(3+√5+2√2)units.
Therefore, circumference of ΔAOC, ΔAOB and ΔABC are 4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.
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For the function, determine if y varies directly with x. If so, find the constant of variation.
Then write the equation.
{(3, 9), (4, 13), (7, 23)}
Hint: Make the ordered pairs a table of values.
What is the slope of line?
Given two line-side coordinates, use the slope formula to determine the slope of the line. The slope is defined as the ratio of the change in the y values to the change in the x values using the formula m=(y2-y1)/(x2-x1). x1 and y1 are represented by the first point's coordinates. The second points are located at x2, y2, and their locations. Whichever point you choose to classify as the first and which as the second doesn't matter.
For the first point, we would have 9=3k;
So we have k=9/3.
For the second point, we would have 13=4k;
this would mean that k=13/4.
And for 3rd point, we would have 23 =7k;
Checking using proportions shows us that 11/7 does not equal 13/4:
cross multiply.
Since this is untrue, k is not a constant and y does not change in direct proportion to x.
Hence the equation of the for the different points are determined.
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Can someone please help me out? Thank you! I will give brainly
1) In first circle radius is 3yard and diameter is 6 yard
2) In second circle radius is 46 inch and diameter is 92 inch
3)In third circle radius is 23 ft and diameter is 46ft
What's the radius solution?
The radius formula is easily obtained by halving the circle's diameter. The line segment created when we join a point on a circle's circumference to its exact center is referred to as the ring's radius. The radius of a circle is the separation between its center and circumference.
What is diameter, for instance?
If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to the diameter of a circle, which is the line segment that extends from one end of the circle to the other end while passing through the center of the circle.
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60 POINTS HELP!!!!
What is the equation of the line?
Answer:
See below
Step-by-step explanation:
Pick two convenient integer coordinat e points to calculate the slope
(-1,1) AND (1,0)
Slope = (y1-y2) / (x1-x2) = (1-0)/(-1-1) = -1/2
Slope-yaxis intercept form y = mx + b
y = -1/2 x +b sub in either of the points to calculate b = 1/2
y = -1/2 x + 1/2 Done.
there are 30 students in mrs woodwards class and 1/5 has their own cwll phone. of this group, 1/2 are allowed to use social media. how many students habe cell phones and can use soical media?
Answer:
Three people have phones and use social media
Step-by-step explanation:
1/5 of 30 is 6
1/2 of 6 is 3
Rewrite the expression as an algebraic expression in x.
sin(tan−1(x))
Answer:
Tano=x
Step-by-step explanation:
First, let's call sin(tan−1(x))=sin(θ) where the angle θ=tan−1(x) . More specifically, tan−1(x)=θ is the angle when tan(θ)=x
WhichForm the perfect square trinomial in the process of completing the square. What is the value of c?
x2 + 3x + c = 7/4 + c
In the process of completing the square method the value of c in the equation x^2 + 3x + c = 7/4 + c is calculated to be
How to know term should be added to both sidesThe quadratic equation is an equation of the form
ax^2 + bx + c
The completing the square method is one of the methods of solving equations of the form above
The factor to be added on the both sides of the equation while using the completing the square method is
(b / 2a)^2
compared to the equation in the problem x^2 + 3x + c = 7/4 + c it is
(b / 2a)^2 = (3 / 2)^2
= 9/4
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Solve, show all work for full credit.
An employee receives a 4% raise once per year. If the employee’s initial salary is $40,000, what will the employee’s salary be after 8 years?
Answer: $54,742.75
Step-by-step explanation:
Each year you need to multiply the employee's current salary by 4% (in decimal form this is 0.04). Then you add the result to their current salary.
Year 1
40000 * 0.04 = 1600
40000 + 1600 = 41600
Year 2
41600 * 0.04 = 1664
41600+ 1664 = 43264
Year 3
43264 * 0.04 = 1730.56
43264+ 1730.56 = 44994.56
Year 4
44994.56 * 0.04 = 1799.78
44994.56+ 1799.78 = 46794.34
Year 5
46794.34 * 0.04 = 1871.77
46794.34+ 1871.77 = 48666.11
Year 6
48666.11 * 0.04 = 1946.64
48666.11+ 1946.64 = 50612.75
Year 7
50612.75 * 0.04 = 2024.51
50612.75+ 2024.51 = 52637.26
Year 8
52637.26 * 0.04 = 2105.49
52637.26+ 2105.49 = 54742.75
MATCH EACH EQUATION WITH IT'S THREE SOLUTIONS
The match of the equation are listed below:
A. y = 1.5x => (14,21) ,(2,3), (8, 12)
B. 2x + 3y = 7 => (1, 1 2/3), (-1, 3), (0, 2 1/3)
C. x - y = 4 => (-3, -7), (0, -4), (-1, -5)
D. 3x = y/2 => (0.5, 3), (1, 6), (1.2, 7.2)
E. y = - x + 1 => (1/2, 1/2), (1/4, 3/4), (1/8, 7/8)
Equation:
Equation refers the statement that the values of two mathematical expressions are equal and indicated by the equal sign.
Given,
Here we have list of equation and the matching solutions also.
Now, we need to find the correct pairs from it.
In order to find the correct matching pair, in each solution we have to take one point and apply it on the given equation, then we get,
Then when we take the point (14,21)
Apply it on the equations, then we get,
A. 21 = 1.5(14)
=> 21 = 21
Now, we have to take the second one (-3, -7)
And apply it on the equations,
B . 2(-3) + 3(-7) = 7
=> -6 - 21 = 7
=> -27 ≠ 7
C. -3 - (-7) = 4
=> -3 + 7 = 4
=> 4 = 4
Then the third point (1/2, 1/2), the apply the equation,
B. 2(1/2) + 3(1/2) = 7
=> 1 + 3/2 = 7
=> 5/2 ≠ 7.
D. 3(1/2) = (1/2)/2
=> 3/2 ≠ 1
E. y = -x + 1
=> 1/2 = -1/2 + 1
=> 1/2 = 1/2
Now, we have to take the point (-1, 3)
B. 2(-1) + 3(3) = 7
=> -2 + 9 = 7
=> 7 = 7
Then the remaining match with the final one.
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What situation is best represented by the following equation
68.50x +127.95=
Answer:
Independent and dependent
Step-by-step explanation:
68.50 would stand as the independent as x could stand for anything such as months or days. 127.95 acts like a static number as it will never change regardless.
Rocio deposits $3,200 in a one year CD at
3.1% interest, compounded daily. What is
her APY to the nearest hundredth of a
percent?
The annual percentage yield (APY) of Rocio is 3.11 %
What is Annual Percentage Yield?
The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.
Given data ,
Deposit amount of Russ = $ 3200
Interest rate R = 3.1 %
And it is given that the interest rate is compounded daily , so
Interest rate R = 3.1 % / 365
= 0.031 / 365
= 0.000084
Now , The annual percentage yield (APY) is calculated as
The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵
= 3200 x ( 1.000084 )³⁶⁵
= 3200 x 1.031133
= 3299.6272
≈ 3299.627
Therefore , the interest will be
= 3299.627 - 3200
= $ 99.627
Now , the annual percentage yield (APY) is given by
= Interest / Deposit
= 99.627 / 3200
= 0.03113
≈ 3.11 %
Hence , annual percentage yield (APY) of Rocio is 3.11 %
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One dealer is selling the Nissan Leaf Hatchback for $25,600.00. Their finance company is offering a 72-month amortized loan at a rate of 1.75%. Assume a down payment of 17%
What will the monthly payment be?
How much will the car cost, in total?
How much money will be paid in interest?
If you agreed to make payments once every 2 weeks, what would your payments be?
Answer: the answer is D i just did that
Step-by-step explanation:
→ XO Q
D
Question 5
What component best describes a country that uses capitalism?
W
O Limited role of government
O Everything is operated through tradition
O All economic decisions made by government
O All goods and services are distributed by the government
The component describes a country of capitalism is All economic decisions made by government.
What is meant by capitalism?According to a common understanding, capitalism is an economic system in which individual actors own and control property according to their interests and where supply and demand freely set market prices in a way that benefits society. The fundamental quality of capitalism is the desire to make a profit.
Capital, which developed from capitale, a late Latin term based on caput, meaning "head," is where the word "capitalism" originates. Chattel and cattle, both of which allude to moveable property, also have their roots in capital (only much later to refer only to livestock).
A capitalist economy allows for the private ownership and control of capital assets like mines, railroads, and factories. It also allows for the purchase of labor for monetary wages, the accrual of capital gains to private owners, and the allocation of prices.
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i am greater than 320 you say my number if you start at 324 and count by 10a i have the same number of tens and ones
Number which is greater than 320 and starts at 324 and count by multiple of 10 and have same number of tens and ones is given by 344.
As given in the number,
Condition for required number is given as follow:
Required number is greater than 320Number should be start at 324.Number should by count by multiple of 10Number should have same number of tens and ones.Start at 324 and count by multiple of 10 are:
324 →334 but in this case tens is 3 and ones is 4 , so it is not a valid number.
324 → 334 →344
This number satisfy all the condition of required number.
It is a valid number.
Therefore, number which is greater than 320 and starts at 324 and count by multiple of 10 and have same number of tens and ones is given by 344.
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