caculate the intrest earned in 1 year on 2000 at 7 percent
Answer:
140
Step-by-step explanation:
simple interest=principle which is the money, multiply by 7%which is the rate multiply by 1yr which is the time divided by 100
SI=(2000x7x1)
--------------
100
Fill in the blank question.
Be Precise A standard shower drain can drain water at the rate of 480 gallons in 23
hour. Create three different rates, using the same or different units, that are all equivalent to this rate. Be precise in the units you choose. Then find the unit rate, in gallons per minute.
Answer:
see image for answer
Step-by-step explanation:
see image for answe
In the population, a parameter has a value of 15. Based on the means and standard errors of their sampling distributions, which of these estimators shows the most bias?
Mean = 14, SE = 2
Mean = 8, SE = 2
Mean = 15, SE = 6
Mean = 20, SE = 1
Of the given four estimators, the one that shows the most bias is Mean = 20, SE = 1. Hence, Mean = 20, SE = 1 is the accurate choice.
The estimator with the highest value (Mean = 20) compared to the population parameter (15) is the most biased. The lower the standard error (SE = 1), the more confident the estimate, but if the estimate is far from the population parameter, it is considered biased.
In this case, the Mean = 20 estimator is the most biased because it has the greatest difference from the population parameter and the lowest standard error, indicating a high level of confidence in the estimate despite it being significantly different from the actual population parameter.
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simplify 6 - (2 - 4x)
PLEASE SOMEONE HELP QUICKKK!
The coordinate of the y-intercept of the line y = 4x + 1 is (7.5, 10). And the value of 'k' is 7.5.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
a) The equation is given as,
y - 4x = 1
y = 4x + 1
Then coordinate of the y-intercept is (0, 1).
b) The equation is given as,
y = 2x + c
From the graph, the y-interept is -3. Then the equation is given as,
y = 2x - 3
At y = 10, the value of 'k' is given as,
10 = 2k - 3
2k = 13
k = 7.5
The coordinate of the y-intercept of the line y = 4x + 1 is (7.5, 10). And the value of 'k' is 7.5.
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The length of a rectangle is five times its width if the perimeter if the rectangle is 120in in find its area
The area of the rectangle is given by the equation A = 500 inches²
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P of rectangle = 2 ( Length + Width )
Given data ,
Let the area of the rectangle be represented as A
Now , the equation will be
The perimeter of the rectangle P = 120 inches
The length of the rectangle L = 5 ( width of rectangle )
Now , Perimeter P of rectangle = 2 ( Length + Width )
Substituting the values in the equation , we get
2 ( 5W + W ) = 120
Divide by 2 on both sides of the equation , we get
6W = 60
Divide by 6 on both sides of the equation , we get
W = 10 inches
So , the width of the rectangle = 10 inches
Now , L = 5W
So , the length of the rectangle = 50 inches
And , the area of the rectangle = L x W
Substituting the values in the equation , we get
The area of the rectangle A = 50 x 10
The area of the rectangle A = 500 inches²
Hence , the area of the rectangle is 500 inches²
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Circle all the equations that represent the relationship between the price of oranges last week, x, and the price of oranges this week, y.
A. y=1/5x B. y=6/5x C. y=x+1/5x D. y=x+2 E. y=1.2x
Answer: The equation that represents the relationship between the price of oranges last week, x, and the price of oranges this week, y is:
y = x + 1/5x
The equation states that the price of oranges this week is equal to the price of oranges last week plus 1/5 of the price of oranges last week.
Step-by-step explanation:
I need help with this its due by 12:00 pleaseee
the best answer i got for a is 5 days (1.5 hours a day)
b was 3 days (an hour a day) but I am not that sure but thats the best answer I could come up with
A couple found a house selling for $113,500. The taxes on the house are $1300 per year, and insurance is $340 per year. They are requesting a conventional loan from the local bank. The bank is currently requiring a 15% down payment and 3 points, and the interest rate is 10%. The couple's gross monthly income is $4950. They have more than 10 monthly payments remaining on a car, a boat, and furniture. The total monthly payments for these items is $420. Their bank will approve a loan that has a total monthly mortgage payment of principal, interest, property taxes, and homeowners' insurance that is less than or equal to 28% of their adjusted monthly income.
Complete parts a) through g) below.
a) Determine the required down payment.
The amount of the down payment that is required to be paid is = $17025
How to solve for the down paymentThe down payment is the initial amount that the buyer has to offer for the merchandise before they would later have to make the full payment. The down payment is a sign of seriousness on the part of a buyer
The amount that the house is selling for is $113,500.
The percentage that is to be considered for the down payment is 15 percent of the total amount.
This is given as 15 percent of $113,500.
down payment is 0.15 * $113,500
= $17025
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please help I need it for my study guide
Answer:
40 ft²
Step-by-step explanation:
First way:
A = 1/2bh = 1/2(16)(5) = 40
2nd way:
Length of dotted line at top = x
16² - 8² = x²
x² = 192
x = √192 = 13.86
Area rectangle = 8 x 13.86 = 110.85
Find the shaded area:
110.85 - 1/2(8)(13.86) - 1/2(8)(13.86 - 10) = 40
Answer:
40 ft²
Step-by-step explanation:
You want the area of a triangle two different ways. The height from the 10 ft base is given as 8 ft; the height from the 16 ft base is given as 5 ft.
Triangle areaThe area formula for a triangle is ...
A = 1/2bh . . . . . . where b is the base, and h is the height from that base
RedThe base (side) dimensioned in red is 10 ft. The perpendicular distance to the opposite vertex is shown in red as 8 ft. Then the area is ...
A = 1/2(10 ft)(8 ft) = 40 ft²
GreenThe base dimensioned in green is 16 ft. The perpendicular distance to the opposite vertex is shown in green as 5 ft. Then the area is ...
A = 1/2(16 ft)(5 ft) = 40 ft²
The area of the triangle is 40 ft².
assume that register r1 contains 0x20000850. remembering that your ti tm4c123 is little endian, what are the contents of r0 if we execute ldr r0, [r1]
The contents of r0 will be 0x20000851, which is the first byte of the word stored at address 0x20000850.
The TI TM4C123 is a little-endian processor, meaning that it stores data in the memory in reverse order. This means that the first byte of a word will be stored at the lower address, and the last byte at the higher address.
In this example, register r1 contains the address 0x20000850. When we execute the ldr r0, [r1] instruction, the processor will read the value stored in memory at address 0x20000850 and store it in register r0.
Since this is a little-endian processor, the value stored in memory at address 0x20000850 will be the last byte of the word, and the value stored in memory at address 0x20000851 will be the first byte of the word.
This means that the contents of r0 will be 0x20000851, which is the first byte of the word stored at address 0x20000850.
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6
3
3
C
C
6
6
C
C
3
3
6
Solve for c.
= √ [?]
C =
Enter the number
that goes beneath
the radical symbol.
Answer:
10
Step-by-step explanation:
Name the second largest of the four angles named in the figure (not drawn to scale) if the side included by <1 and <2 is 11 cm the side included by <2 and <3 is 16 cm and the side included by <3 and <1 is 14 cm
The second largest of the four angles is angle ∠1
Relationship of sides to interior angles in a triangle:Triangle is a closed polygon that is formed by connecting 3 line segments which are called sides of the triangle. In a triangle, the shortest side will always be placed opposite the smallest interior angle. Similarly, the longest side will always be opposite the largest interior angle.
Here we have
The side included by <1 and <2 is 11 cm
The side included by ∠2 and ∠3 is 16 cm
The side included by ∠3 and <1 is 14 cm
As we can observe angle ∠4 is an obtuse angle
Hence, ∠4 is the largest angle among the 4 angles
As we know the shortest side is placed opposite the smallest interior angle and the longest side is opposite the largest interior angle.
From the given data,
The side included by ∠2 and ∠3 is the longest side
Hence, the largest angles among ∠1, ∠2, and ∠3 are the angles ∠1
Therefore,
The second largest of the four angles is angle ∠1
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find the intersection of the set of odd integers between 0 and 20 and the set of multiples of 5 between 0 and 35 inclusive.
The intersection of the set of integers and multiples of 5 will be (5,15).
What exactly are integers?
In mathematics, integers are the collection of positive and negative numbers. Integers, like whole numbers, do not include the fractional element. Thus, integers are numbers that can be positive, negative, or zero, but not fractions. On integers, we can do all arithmetic operations such as addition, subtraction, multiplication, and division. Integers include numbers such as 1, 2, 5, 8, -9, -12, and so on. "Z" is the symbol for integers.
Now,
Odd Integers between 0 and 20=1,3,5,7,9,11,13,15,17,19
Multiples of 5 between 0 and 35=5,10,15,20,25,30,35
Then the common integers are=5,15
Hence,
The intersection of the set of integers multiples of 5 will be (5,15).
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Determine whether each of the equations in Problems 1 through 8 is exact. If it is exact, find the solution. 1. (2x + 3) + (2y - 2)y' = 0 2. (2x + 4y) + (2x - 2y)y' = 0 3. (3x2 - 2xy + 2) + (6y2 - x2 + 3) y' = 0 dy ax + by 4. dx bx + cy dy ax - by 5. dx 6. (ye"y cos(2x) -2e* sin(2x)+2x)+(xey cos(2x) -3) y'=0 7. (y/x+6x) +(In x - 2)y' = 0, > 0 8. у dy + 0 (x2 + y2)3/2 (x2 + y2)3/2 dx bx - cy x
None of the equations in Problems 1 through 8 is exact, so they cannot be solved using the method of integration factors.
If an ODE is exact, it can be solved using the method of integration factors.
Here is the determination of whether each of the equations in Problems 1 through 8 is exact, and if it is, finding the solution:
1. (2x + 3) + ( 2y - 2)y' = 0
This equation is not exact.
2. (2x + 4y) + ( 2x - 2y)y' = 0
This equation is not exact.
3. (3x^2 - 2xy + 2) + ( 6y^2 - x^2 + 3) y' = 0
This equation is not exact.
4. dx/dt = bx + cy, dy/dt = ax - by
This system of ODEs is not exact.
5. dx/dt = bx - cy, dy/dt = ax + by
This system of ODEs is not exact.
6. (ye^(2x) -2e^(2x)x sin(2x)+2x)+(xe^(2x)y cos(2x) -3) y'=0
This equation is not exact.
7. (y/x+6x) +(In x - 2)y' = 0, x > 0
This equation is not exact.
8. (y^2)dy/dx + 0 = (x^2 + y^2)^(3/2)
This equation is not exact.
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What is the equivalent expression for 3(2×+5)
Answer:
There are many expressions equivalent to this.
Step-by-step explanation:
Let's solve the equation.
In the parentheses, you cannot do ×+, so I will assume that × is meant to be a variable, x.
You can use distributive property to solve this.
3(2x + 5)
3 × 2x + 6x
3 × 5 = 15
6x + 15 cannot be done.
So, the answer to the equation is 6x + 15.
An Equivalent Expression
An equivalent expression can be 2(3x + 7.5)
Let's solve it.
2 × 3x = 6x
2 + 7.5 = 15
So, the answer to this equation is 6x + 15.
6x + 15 = 6x + 15.
2(3x + 7.5) = 3(2x + 5)
100 POINTS HELP PLEASE
Answer:
The $19,000 in expenses should be entered by the accountant as a debit in the following journal entry:
Date Account Account Number Debit Credit
1 - Oct Expenses 19000 5050
Suppose you spin the spinner below 5 times. A spinner is shown with equal sections A, B, and C. The pointer is on section B. Which probabilities do you need in order to calculate P(getting A on 2 or fewer spins)? P(0 successes) P(1 success) P(2 successes) P(3 successes) P(4 successes) P(5 successes)
Answer:
I think the answer is B. Sorry if I'm wrong I really tried :(
Step-by-step explanation:
Difference between polynomial and multinational
Answer: A polynomial is an algebraic expression with 1, 2 or 3 variables, whereas, a multinomial is a type of polynomial with 4 or more variables.
Step-by-step explanation:
100 POINTS HELP How would a delivery on products listed as a $5000 Unearned Revenue credit be recorded on an accounting worksheet?
A. a $5000 Adjustment debit
B. a $5000 Trial Balance debit
C. an increase in T.B. revenue
D. a $5000 Adjusted T.B. credit
Answer: A
Step-by-step explanation:
If there is a $5000 Unearned Revenue credit on the accounting worksheet, it means that the company has received payment for products or services that have not yet been delivered. Therefore, when the delivery is made, an adjusting entry is needed to reflect the change in the company's financial statements.
The adjusting entry would be a debit to the Unearned Revenue account for $5000 and a credit to the Revenue account for $5000, reflecting the delivery of the products and the recognition of revenue. The entry would be recorded in the Adjustment column of the worksheet.
Therefore, the correct answer is option A, a $5000 Adjustment debit.
Answer:
A. a $5000 Adjustment debit
Step-by-step explanation:
The delivery of products listed as a $5000 Unearned Revenue credit would be recorded on an accounting worksheet with a $5000 Adjustment debit.
Unearned revenue is a liability account that represents payments received from customers for goods or services that have not yet been provided. When the delivery is made and the products are provided, the unearned revenue is "earned" and the revenue is recognized in the accounting records.
To record the delivery and recognize the revenue earned, the company would make an adjusting entry to decrease the unearned revenue account and increase the revenue account. Since the unearned revenue account has a credit balance, the adjusting entry would require a debit to reduce the balance. This would result in a $5000 Adjustment debit to Unearned Revenue and a $5000 Adjustment credit to Revenue.
will give brainliest. A recent conference had 875 people in attendance. In one exhibit room of 60 people, there were 46 teachers and 14 principals. What prediction can you make about the number of principals in attendance at the conference?
A, There were about 204 principals in attendance.
B.There were about 266 principals in attendance.
C. There were about 671 principals in attendance.
D. There were about 815 principals in attendance
Answer:
A, There were about 204 principals in attendance
Step-by-step explanation:
In one exhibit room, there are 14 principals out of 60 people so the ratio is 14 to 60
If the ratio stays the same then, x is the number of principals in attendance at the conference, then
x/875 = 14/60
60x = 14(875)
60x = 12250
x = 12250/60 = 204
hope this helps.
Calculate the simple interest earned on an investment of $9710 at a semiannual rate of 3.6% for 4 years. Write your answer to the nearest cent.
Answer:
Step-by-step explanation:
To calculate the simple interest earned on an investment of $9710 at a semiannual rate of 3.6% for 4 years, we need to use the formula:
I = Prt
where I is the interest, P is the principal (initial investment), r is the interest rate (as a decimal), and t is the time (in years).
In this case, the principal is $9710, the interest rate is 3.6% per year, or 0.036/2 = 0.018 per 6-month period (since the interest is compounded semiannually), and the time is 4 years, or 8 periods of 6 months each.
Plugging in these values, we get:
I = $9710 x 0.018 x 8 = $1392.24
Therefore, the simple interest earned on the investment is $1392.24. Rounding to the nearest cent, the answer is $1392.24.
A composition of Math
1. History of Math
2. Math facts
3. Calculation tricks
4. Common mistakes in Math
5. Students corner(Sudoku/Puzzle)
6. Career in Math
Mathematics is a computational system developed by the Babylonians.
What is the history of mathematics?Mathematics has its roots in ancient civilizations, such as the Babylonians and Egyptians, who used mathematical concepts for practical purposes such as measuring land, calculating taxes and predicting astronomical events. The ancient Greeks made major contributions to mathematics with the development of geometry by Euclid and the formulation of mathematical proofs by Pythagoras and his followers.
The 17th and 18th centuries saw a major development in calculus by mathematicians like Isaac Newton and Gottfried Wilhelm Leibniz, which revolutionized the field and opened up new avenues of scientific investigation. In the 19th and 20th centuries, mathematicians such as Georg Cantor, Kurt Gödel, and Alan Turing made major contributions to the foundations of mathematics and the development of computer science.
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Let A and B be any two events. Which of the following statements, in general, are false? P(A∣B)+P(A∣B)=1
Option A and B : This statements is generally false in probability theory.
A. P(A ∪ B) = P(A) + P(B) - This statement is generally false in probability theory. This is known as the inclusion-exclusion principle, which states that the probability of the union of two events is equal to the sum of their individual probabilities minus the probability of their intersection.
B. P(A | B) = P(A) - This statement is generally false in probability theory. In general, P(A | B) is not equal to P(A) because the occurrence of event B affects the probability of event A.
C. P(A ∩ B) = P(A)P(B) - This statement is generally true in probability theory. This is known as the independent events rule, which states that the probability of the intersection of two independent events is equal to the product of their individual probabilities.
D. P(A | B) + P(A' | B) = 1 - This statement is generally true in probability theory.
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Let A and B be any two events. Which of the following statements, in general, are false? P(A∣B)+P(A∣B)=1
A. P(A ∪ B) = P(A) + P(B)
B. P(A | B) = P(A)
C. P(A ∩ B) = P(A)P(B)
D. P(A | B) + P(A' | B) = 1
Calculate the number of gallons of paint required to paint one side of a block wall of the following dimensions: 6’x172’. The paint being used will cover 200ft per gallon. Show both exact and rounded figure in the blanks provided
The number of gallons of paint nearest to tenth will be 0.0358 gallon.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The area of the wall is given as,
A = 6 inches x 172 inches
A = (6 / 12) feet x (172 / 12) feet
A = 0.50 x 14.33
A = 7.167
A ≈ 7.2 gallons
Then the number of gallons of paint is given as,
⇒ 7.167 / 200
⇒ 0.0358 gallon
The number of gallons of paint nearest to tenth will be 0.0358 gallon.
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A numbler of workers must weed a large Wheat Field. The number of daisies iwill it takes them variesation inversely with the number of workers. If it takes 6 days for 10 workers to weed the field, how lowly manely days would the weadingg take if there were twelve workers?
Answer: Let x be the number of days it takes for y workers to weed the field. Then, we know that x and y are inversely proportional, meaning that x * y = k, where k is a constant.
Since it takes 6 days for 10 workers to weed the field, we have:
6 * 10 = k
So, k = 60.
Now, to find the number of days it would take if there were 12 workers, we can plug in y = 12 and solve for x:
x * 12 = 60
x = 60/12
x = 5
Therefore, it would take 5 days for 12 workers to weed the field.
Step-by-step explanation:
which value is a solution for the equation cot x/2=1?
The solution for the equation is [tex]x=\frac{\pi }{2} +2\pi n[/tex] ,for any integer n.
What is an equation?An equation is the statement that asserts th equality of the two expressions with 'equal to' (=) sign.
cot [tex]\frac{x}{2} =1[/tex],
Taking inverse on both sides we get,
[tex]\frac{x}{2}[/tex] = [tex]cot^{-1} (1)[/tex]⇒[tex]\frac{x}{2}=\frac{\pi}{4}[/tex]
⇒[tex]x=\frac{\pi }{2}[/tex].
cot is positive in first and third quadrant. To find the second solution add π to it.
[tex]\frac{x}{2} =\pi +\frac{\pi }{2}[/tex]
[tex]x=\frac{5\pi }{2}[/tex]
to find period for cot([tex]\frac{x}{2}[/tex])
The periodic function can be calculated by [tex]\frac{\pi }{|b|}[/tex], replace b with [tex]\frac{1}{2}[/tex]
we get [tex]2\pi[/tex]. we get period for cot([tex]\frac{x}{2}[/tex]) is [tex]2\pi[/tex] so values will repeat every
radians in both directions.
[tex]x=\frac{\pi }{2} +2\pi n, \frac{5\pi }{2} +2\pi n,[/tex] for any integer n.
consolidating we get,
[tex]x=\frac{\pi }{2} +2\pi n[/tex], for any integer.
Hence, the solution for the equation cot [tex]\frac{x}{2}[/tex]= 1 is [tex]x=\frac{\pi }{2} +2\pi n[/tex]
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What Is The Difference Between Apparent Capacity And Actual Capacity Of A Glass Vessel? IN SURFACE AREA AND VOLUME!!?
Hence, the cylinder's content determines the apparent volume of the glassware, and also the difference between the cylinder as well as spherical volumes determines the glass's true capacity.
What can be termed Capacity?Capacity can be defined as the amount which can be held by any kind of vessel. This can depend upon their depth as well as their size.
Actual capacity is the volume of liquid that a glass vessel can contain while it is only partially filled, as opposed to capacity, which refers to the volume of liquid when the glass vessel is fully filled to the brim.
The distinction between both apparent capacity versus Actual capacity in parameters of surface area, as well as volume, is that the former refers to the entire surface area proportional volume of the vessel, whilst the latter refers to the surface area but instead the volume of the liquid that could also fit.
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Quadrilateral BCDE has vertices B(-1, -1), C(6, -2), D(5, -9), and E(-2, -8). Determine the most precise classification of BCDE.
a
Square
b
Parallelogram
c
Rectangle
d
Rhombus
The most precise classification of BCDE is a square.
What are Quadrilaterals?Quadrilaterals are four sided polygons which also have four vertices and four angles.
Sum of all the interior angles of a quadrilateral is 360 degrees.
We have to find the length of adjacent sides of the quadrilateral BCDE.
If they are equal, then the quadrilateral is either square or rhombus.
If they are not equal, then they are either rectangle or parallelogram.
B(-1, -1), C(6, -2), D(5, -9), and E(-2, -8)
BC = [tex]\sqrt{(6--1)^2+(-2--1)^2}[/tex] = √50
CD = [tex]\sqrt{(5-6)^2+(-9--2)^2}[/tex] = √50
Adjacent sides are equal. So it is either square or rhombus.
If it is rhombus, length of diagonals BD and CE are not equal.
If it is square, length of diagonals BD and CE are equal.
BD = [tex]\sqrt{(5--1)^2+(-9--1)^2}[/tex] = √100 = 10
CE = [tex]\sqrt{(-2-6)^2+(-8--2)^2}[/tex] = √100 = 10
Length of diagonals are same. So it is a square.
Hence the given quadrilateral is a square.
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A ship 1 mile from a straight shoreline has a searchlight that rotates at 12 revolutions per minute. How fast is the edge of the bean moving along the shore at the moment it makes an angle pi/4 of with the shore?
The velocity of the bean is 0.63 feet/second
What is angular velocity?Angular velocity is the time rate at which an object rotates or revolves about an axis. Angular velocity is represented by the Greek letter omega (ω) It is measured in angle per unit time; hence, the SI unit of angular velocity is radians per second.
w = tetha/t
1 revolution = 360° = 2π
1 minutes = 60s
w = 12× 2π/60
w = 24×3.14/60
w = 1.26 radian/second
r = d/2
r = 1/2 = 0.5miles
v = wr
v = 1.26 × 0.5
v = 0.63feet/second
therefore the velocity of the bean is 0.63 feet/second.
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