Savings account B offers a higher APY of 5.25%, compared to the 5.13% offered by savings account A.
What do you mean by interest?Interest is a fee charged by a lender to a borrower for the use of money. It represents the cost of borrowing money and is typically expressed as a percentage of the loan amount. Interest is paid over a period of time and is calculated based on the principal amount of the loan, the interest rate, and the length of the loan term.
Simple interest is calculated only on the principal amount of the loan, while compound interest is calculated on both the principal and the accumulated interest over time. Compound interest results in a faster growth of the loan balance compared to simple interest.
APY (Annual Percentage Yield) is the effective annual interest rate, taking into account the frequency of compounding. It can be calculated as follows:
APY = (1 + (APR / n))ⁿ⁻¹
where APR is the annual percentage rate and n is the number of times the interest is compounded in a year.
For savings account A, with a 5% APR and compounding quarterly, n = 4. So,
APY = (1 + (0.05 / 4))⁴⁻¹ = 0.0513 = 5.13%
For savings account B, with a 5% APR and compounding semiannually, n = 2. So,
APY = (1 + (0.05 / 2))²⁻¹ = 0.0525 = 5.25%
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Which is the equation of a line parallel to the line with the equation:
y = -3x + 5
PLEASE HELP
Answer:
5
Step-by-step explanation:
make six Simplified algebraic expressions with step by step
The step-by-step process of making simplified algebraic expressions are shown below
How to make six simplified algebraic expressions?Below are six simplified algebraic expressions with step by step solutions:
1. Simplify: 2x + 3x
Step 1: Combine like terms: 2x + 3x = 5x
Step 2: Simplified expression: 5x
2. Simplify: 7x - 4x
Step 1: Combine like terms: 7x - 4x = 3x
Step 2: Simplified expression: 3x
3. Simplify: 5y + 2y + 3y
Step 1: Combine like terms: 5y + 2y + 3y = 10y
Step 2: Simplified expression: 10y
4. Simplify: 8z - 6z
Step 1: Combine like terms: 8z - 6z = 2z
Step 2: Simplified expression: 2z
5. Simplify: 4a + 6a - 3a
Step 1: Combine like terms: 4a + 6a - 3a = 7a
Step 2: Simplified expression: 7a
6. Simplify: 9b - 7b + 5b
Step 1: Combine like terms: 9b - 7b + 5b = 7b
Step 2: Simplified expression: 7b
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Write an equation of the line in POINT-SLOPE form that passes through the given points.
(5,-1) and (-3,-4)
(Type an EQUATION. Simplify your answer.)
The equation the line is, y = 3/8 *x - 23/8, equation of the line in POINT-SLOPE form that passes through the given points (5,-1) and (-3,-4).
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, we have to points (5,-1) and (-3,-4)
So, by using the formula of equation of straight line of two-point form, we get,
(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )
now, solving we get,
3x-8y = 23
equation of the line in POINT-SLOPE form is,
y = 3/8 *x - 23/8
Hence, the required equation is, y = 3/8 *x - 23/8
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Can someone help me it would mean alot
Due to length restrictions, we kindly invite to read the explanation for further details on how to go across the maze with linear functions.
How to go across the maze
In this problem we find a maze formed by representations of linear functions on Cartesian plane, of which we must determine the slope of each line until finish is reached. This can be done by understanding the following instructions based on results from secant line formula:
Slope of line 1 is undefined.Slope of line 2 is less than - 1.Slope of line 3 is equal to 1. Slope of line 4 is more than 1 and less than 0.Slope of line 5 is equal to 0.Slope of line 6 is more than 0 and less than 1. Slope of line 7 is equal to 1.Slope of line 8 is more than 1.The procedure to go across the maze is shown below:
Start at square A.Select choice "- 1 / 3".Go to square B.Select "Undefined".Go to square E.Select "2".Go to square F.Select "- 1 / 2".Go to square C.Select "2".Go to square B.FAIL
Start at square I.Select choice "2".Go to square J.Select choice "0".Go to square K.Select choice "- 1".Finish.SUCCESS
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make linear Equation Application
for this pie recipe using any of
these numbers:
6 table spoons unsalted butter
2 table spoons sugar
1 Cup heavy cream
8 ounces of Semi Sweet chocolate
3 large eggs
1 table spoon vanilla extract
2 cups mini marshmallows
The proportional relationship modeling the number of eggs needed to make x pies is given as follows:
y = 3x.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The variables for this problem are given as follows:
Variable x: number of pies.Variable y: number of large eggs.3 large eggs, hence the constant of the proportional relationship is given as follows:
k = 3.
Then the equation of the proportional relationship is given as follows:
y = 3x.
Which is a linear function with a slope of 3 and an intercept of zero.
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Murthy has a rectangular wooden box whose length is 7m and breath is 5m. He want to cover the top surface of it with a nice cloth. The cost of the cloth is 50 per sq.m.
The cost of the cloth to cover the top surface of the box is 1,750.
What are rectangles?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
Given the rectangular wooden box,
length = 7 m
breadth = 5 m
the top surface of the box is in the shape of a rectangle, to cover the surface with cloth we need to calculate the area of the surface to find the total cloth needed to cover,
area of rectangle = l*b
l = length, b = breadth
A = 7*5
A = 35 m²
area of the cloth needed is 35 m²
cost of 1 square meter = 50
cost for 35 m² cloth = 50*35
cost for 35 m² cloth = 1,750
Hence the required cost is 1,750.
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In ΔKLM, k = 2.6 inches, m = 5.8 inches and ∠M=28°. Find all possible values of ∠K, to the nearest 10th of a degree.
The measure of the angle K is equal to 12.2° approximately to the nearest tenth, using the sine rule.
What is the sine ruleThe sine rule is a relationship between the size of an angle in a triangle and the opposing side.
For the triangle KLM, by sine rule;
k/sinK = m/sinM = l/sinL
We first derive the angle K as follows:
5.8/sin28° = 2.6/sinK
sinK = (2.6 × sin28°)/5.8
sin K = 0.2105
K = sin⁻¹(0.2105)
K = 12.1517
Therefore, the measure of the angle K is equal to 12.2° approximately to the nearest tenth, using the sine rule.
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The unemployment compensation is calculated by finding the total of the quarterly wages of two consecutive quarters and dividing by 26. The weekly employment is 60% of that amount. In the quarter of January, February, and March, Roger made a total of $12,950.80. In the quarter of April,May, and June, he made a total of $12,250.10. Find Roger’s weekly unemployment amount.
Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.
Define percentage.In mathematics, a percentage is any amount that can be stated as a proportion of 100. Also occasionally used are the abbreviations "pct.," "pct," or "pc." But the "%" mark is usually used to indicate it. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. A number should be preceded by the percent sign (%) to denote it is a percent.
Here,
Given :
A weekly unemployment amount is calculated using the following three components:
1. Determine the quarterly wage total (consecutive)
2. Multiply the sum by 26.
3.Multiplying by the rate of unemployment
Calculate the total of a quarterly salaries first:
=> (12950.80 + 12250.10) / 26
=> 25,200.9/26
=> 969.26 * 40 %
=> 387.704
Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.
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Three straight lines are shown in the diagram. Work out the sizes of angles a,b and c.
15 points to whoever gets this by the way.
Answer:
see below
Step-by-step explanation:
a=50 because it's cut out of a full circle = 360, and it tells you what's left = 310
so 360-310=50
10. Which of the following graphs would represent the solution set for y < 3/2 x – 4?
Solution set for y < 3/2 x – 4 is represented by Graph D.
What is inequality?In Mathematics, the relationship between two values that are not equal is defined by inequalities. Inequality means not equal.
Given inequality,
y < 3/2x - 4
Since there is less than sign, the region should be shaded below dotted line.
Equation for the dotted line
y = 3/2x - 4
comparing it with Slope intercept equation,
y = mx + c
slope m = 3/2
y - intercept = - 4 unit.
Only graph D has the shaded part below dotted line.
Hence, Graph D represents y < 3/2 x – 4.
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Match each expression in column A with an equivalent expression from column B
olumn A
1.
2.
3.
4,
-
-
-
3x-2x+0.5x
6(x+4)-2(x+5)
3(x+4)-2(x+4) +0.5(x+4)
20(2/5x+3/4y-1/2)
Column B
a. 1.5
b. 1.5%
c. 1/2 (16x+30y-20)
d. 2(2x+7)
20(2/5x+3/4y-1/2) = 2(2x+7), 3x-2x+0.5x = 1/2 (16x+30y-20) corresponding expression from column B for each expression in column A
what is expression ?It is necessary to multiply, distribute, add, or take in mathematics. The following is the way an expression is put next to each other: Number, expression, and logical operator The ingredients of a mathematical expression include numerals, variables, and equations (such as addition, subtraction, multiplication or division etc.) It is conceivable to contrast statements with phrases. An phrase, often known as an arithmetic operation, is any logical statement that abstract, numbers, and a mathematical operation between those. For instance, the word m in the formula given is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.
given
3x-2x+0.5x = 1/2 (16x+30y-20)
6(x+4)-2(x+5) = 1.5%
3(x+4)-2(x+4) +0.5(x+4) = 1.5
20(2/5x+3/4y-1/2) = 2(2x+7)
20(2/5x+3/4y-1/2) = 2(2x+7), 3x-2x+0.5x = 1/2 (16x+30y-20) corresponding expression from column B for each expression in column A .
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A concave polygon will have at least one diagonal drawn outside the polygon.
True or False
Answer: False.
Step-by-step explanation:
A concave polygon is a polygon that has at least one interior angle greater than 180 degrees. This means that the polygon has a "cave" or indentation on its interior. However, the fact that a polygon is concave does not automatically mean that one of its diagonals will be drawn outside the polygon. Whether a diagonal is drawn inside or outside the polygon depends on the specific arrangement of the vertices, and cannot be determined solely based on the fact that the polygon is concave.
An ice cream shop sells ice cream cones, c, and
milkshakes, m. Each ice cream cone costs $1.50
and each milkshake costs $2.00. Donna has $19.00
to spend on ice cream cones and milkshakes. If
she must buy 5 ice cream cones, which inequality
could be used to determine the maximum number
of milkshakes she can buy?
A. 1.50(5) + 2.00m 2 19.00
B. 1.50(5) + 2.00m ≤ 19.00
C. 1.50c +2.00(5) ≥ 19.00
D. 1.50c +2.00(5) ≤ 19.00
Answer:B. 1.50(5) + 2.00m ≤ 19.00
Step-by-step explanation:This inequality can be used to determine the maximum number of milkshakes that Donna can buy with her $19.00. The expression on the left side of the inequality represents the total cost of her purchase and the expression on the right side of the inequality represents the amount of money she has to spend. Since she must buy 5 ice cream cones, that is represented by the 1.50(5) term. The 2.00m term represents the cost of the milkshakes she can buy, with m representing the number of milkshakes. The inequality states that the total cost of her purchase must be less than or equal to the amount of money she has to spend, so the maximum number of milkshakes she can buy can be determined by rearranging the expression.
If Donna buys 5 ice cream cones, that adds up to, £10.00.
She is then left with £9.00.
9 divided by 1.50 = 6.
She is able to buy 6 milkshakes with the money she has left. However, she is now left with no money.
The answer would be B.1.50(5) +2.00m≤19.00
PS: please put me as brainiest it would really help, or if you are not able to do so, for any reason, please answer one of my questions thankyou :)
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A parrot can fly 5 miles in one hour:
The parrot is 15 miles from its nest. If it hasn’t stopped flying, since it departed, how far from the nest was the parrot 30 minutes ago.
The parrot was 12.5 miles from its nest 30 minutes ago.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
Average speed = distance/ time
Since the parrot can fly 5 miles in one hour,
So it can fly 5/2 = 2.5 miles in 30 minutes. (apply the division operation)
So 30 minutes ago, the parrot was 15 - 2.5 = 12.5 (apply the subtraction operation)miles from its nest.
Thus, the parrot was 12.5 miles from its nest.
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An on-line graphic novel and comic book retailer charges shipping costs according to the following formula
The graph will be piecewise. Then the graph of the function is given below.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
S(n) = 0.50n + 3.5, if 1 ≤ n ≤ 14
S(n) = 0 , if n ≥ 15
The graph will be piecewise. Then the graph of the function is given below.
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Lilianna uses
3
4
4
3
start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses
1
11 more calorie per minute by walking. Lilianna uses a total of
12
1
4
12
4
1
12, start fraction, 1, divided by, 4, end fraction calories walking to the park.
Lilianna uses the equation,
�
(
3
4
+
1
)
=
12
1
4
d(
4
3
+1)=12
4
1
d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation.
What does the variable
�
dd represent in the equation?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Calories per minute Lilianna uses walking
(Choice B)
B
Number of calories Lilianna would have used sitting
(Choice C)
C
Number of minutes Lilianna walked
Lilianna spend d= 7 minutes total to the park. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is d(3/4+1)=12 1/4.
Now, d(3/4+1)= 49/4
d(7/4)=49/4
d=49/4 ×4/7
d= 7
Thus, she spent d= 7 minutes total in the park.
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
Each side of the base of a square pyramid measures 10 inches. The height of each lateral face of the pyramid is also 10 inches.
What is the surface area of the pyramid?
Enter your answer in the box.
in²
The surface area of the pyramid is 300 square inches.
What is the surface area of the pyramid?The surface area of a square pyramid can be calculated by:
Adding the area of the base (a square)To the sum of the areas of the lateral faces (four triangular faces).The area of the square base is
10 inches * 10 inches = 100 square inches.
Based on the given parameters:
The area of each triangular face is:
(10 inches * 10 inches) / 2 = 50 square inches.
So, the total surface area of the pyramid is:
100 square inches + 4 * 50 square inches = 300 square inches.
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Each side of the base of a square pyramid measures 10 inches. The height of each lateral face of the pyramid is also 10 inches.
What is the surface area of the pyramid?
Enter your answer in the box.
The surface area of the square pyramid is given by S = 323.6 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of the square pyramid be S
Now , the equation will be
The base of the square pyramid a = 10 inches
The height of the lateral face h = 10 inches
The base area of the pyramid = a²
The lateral surface area of the pyramid = 2a √ ( ( a²/4 ) + h² )
So , the total surface area of square pyramid S = a² + 2a √ ( ( a²/4 ) + h² )
Substituting the values in the equation , we get
The base area of the pyramid = 100 inches²
The lateral surface area of the pyramid = 2 ( 10 ) √ ( ( 100/4 ) + 100 )
On simplifying the equation , we get
The lateral surface area of the pyramid = 223.6 inches²
The total surface area of square pyramid S = 100 inches² + 223.6 inches²
The total surface area of square pyramid S = 323.6 inches²
Hence , the surface area of the pyramid is 323.6 inches²
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Bradley’s new puppy, Rufus, weighed 8.6 pounds at his first visit to the veterinarian. At his second visit, Rufus weighed 14.2 pounds. Let p be the number of pounds Rufus gained between visits. Write and solve an equation to find p.
Answer:
5.2
Step-by-step explanation:
8.6 Pounds + P = 14.2 Pounds
-8.6 Pounds -8.6 Pounds
P = 5.2
Rufus gained 5.6 pounds between his first and second visits to the veterinarian.
We have,
To find the number of pounds Rufus gained between visits, we need to subtract his initial weight from his weight at the second visit.
Therefore, we have:
pounds gained = weight at second visit - weight at the first visit
p = 14.2 - 8.6
p = 5.6
Therefore,
Rufus gained 5.6 pounds between his first and second visits to the veterinarian.
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PLEASE HELP ME I WILL GIVE YOU 5 STAR RATING A THANKS AND BRAINLIEST RATINGGGGG
The set of pairs for which x and y vary inversely is given as follows:
{(-1, -2/7), (4, 1/14), (6, 1/21)}
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
For an inverse relation, the relation is modeled as follows:
y = k/x.
Meaning that when x increases, y decreases at a constant rate.
The constant is then given as follows:
k = yx.
Hence the third relation is then the relation for which x and y vary inversely, as:
k = -1 x -2/7 = 4 x 1/14 = 6 x 1/21.
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Top 15 highest paid professions on average
A) Medical
B) Education
C) Real Estate & Investment
D) Fortune 500 executives & board of directors
Answer:
b, education
Sana makatulong
In a class full of men and women,
2
9
of the class are women. What is the ratio of men to women in its simplest form?
The answer is 9:2 or 2:9. It depends if there is 9 women and 2 men or 2 women and 9 men.
Mark me branliest. :D
Write a set of 12 digits so the 5/12 of them are less than 3.
Answer:
Answer: 0, 1, 1, 2, 2, 4, 5, 6, 7, 0, 8, 9
Step-by-step explanation:
1. Start by writing five digits less than 3: 0, 1, 1, 2, 2
2. Then write four digits greater than 3: 4, 5, 6, 7
3. Finally, add three more digits of any value: 0, 8, 9
A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used
for each serving, how many servings can be made from two quarts?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup
8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of
servings for?
The servings that can be made from two quarts is 24
How many servings can be made from two quarts?To convert the recipe's milk measurement from cups to quarts,
We first need to determine how many cups are in a quart.
There are 4 cups in a quart.
So, 3 cups of milk is equivalent to
3 / 4 = 0.75 quarts of milk.
Since the recipe uses 0.75 quarts of milk to make 9 servings,
Then each serving uses 0.75 / 9 = 0.083 quarts of milk.
Now, 2 quarts of milk is equivalent to 2 / 0.083 = 24 servings.
Therefore, from two quarts of milk, 24 servings can be made using this recipe.
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Identify the range of the relation. {(8,-11), (12, -4), (16, 3), (20, 10)}
Answer:
The range is -11,-4,3,10
Step-by-step explanation:
what is
5
1/2 plus
2
1/7
A.7 2/9
B.7 5/14
C.7 3/7
D.7 9/14
If n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 43, find n(B).
The value of n(B) in the set is 23
How to determine the value of n(B)From the question, we have the following parameters that can be used in our computation:
n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 43,
The value of n(B) is calculated as
n(A u B) = n(A) + n(B) - n(A n B)
Substitute the known values in the above equation, so, we have the following representation
160 = 108 + n(B) - 43
This gives
n(B) = 160 + 43 - 180
Evaluate
n(B) = 23
Hence, the solution is 23
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Please use the law of sines to show me how to solve the triangle please. Thank you .
Angles in a triangle add to [tex]180^{\circ}[/tex].
[tex]\angle B=180^{\circ}-115.5^{\circ}-27.2^{\circ} \longrightarrow \boxed{\angle B=37.3^{\circ}}[/tex]
Using the Law of Sines:
[tex]\frac{AC}{\sin 37.3^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{AC=\frac{76\sin 37.3^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]
[tex]\frac{BC}{\sin 27.2^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{BC=\frac{76\sin 27.2^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]
sin(A) / a = sin(B) / b = sin(C) / c
where A, B, and C are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.
Solve the following system of equations algebraically. Be sure to show each step of your work.
y = 2x² - 5x+9
y = 2x² + 5x - 1
The solution of system of equations x is 1 and value of y is 6.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The system of equations are y = 2x² - 5x+9 and y = 2x² + 5x - 1
Subtract both the equations
y-y=2x² - 5x+9 -2x² - 5x +1
0=-10x+10
10x=10
Divide both sides by 10
x=1
Now plug in x value in any of the equation.
y=2(1)² - 5(1)+9
y=2-5+9=6
Hence, the solution of system of equations x is 1 and value of y is 6.
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You own Company X. When you started the company, you initially invested $12,000.
You also borrowed $12,000 through a five-year (long-term) loan, of which you have
paid back $2,018. You have retained $1,291 in earnings to be reinvested in the
company, and you decided to put $1,000 of it aside for a long-term investment. The
company owns land and a building worth $8,878 and equipment worth $4,230. As of
today, the company has $8,250 in cash, $1,225 in inventory, and is due to receive
accounts worth $675. However, the company owes its suppliers $485 and has a
$500 loan to pay off in the next six months.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
What does "company" mean?Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.
The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.
You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.
Total Amount to be when start the company is $12000 + $12000
= $24000
Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.
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