The integer to represent the profit of php 100.00 is +100.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Given that, a profit of php is 100.00.
The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.
So, here the integer is +100
Therefore, the integer to represent the profit of php 100.00 is +100.
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If the ratio of x:8=21:24, what is the value of x?
Answer:
See below.
Step-by-step explanation:
For this problem, we are asked for the value of x.
Let's use a Proportion to identify x.
What is a Proportion?A Proportion is a comparison of two equivalent fractions, or ratios.
An example of a proportion can be; [tex]\frac{x}{16} =\frac{16}{32}[/tex], where the value of x is 8.
For this example, we can find x by dividing the Numerator and Denominator by 2.
Let's use the example as a guide for our problem.
We can set up our problem as a ratio, or a fraction. Both represent the same data.
[tex]\frac{x}{8} = \frac{21}{24}[/tex]
We should know that 24 is 3 times bigger than 8, hence we should divide both the Numerator and Denominator by 8.
[tex]\frac{21 \div 8}{24 \div 8} = \frac{7 \ (x)}{8}[/tex]
The value of x is 7.
Answer: x = 7
Step-by-step explanation:
Given:
x:8 = 21:24
Rewrite as fractions:
[tex]\displaystyle \frac{x}{8} =\frac{21}{24}[/tex]
Cross-multiply:
x * 24 = 8 * 21
24x = 168
Divide both sides of the equation by 24:
x = 7
The question is present in the image
The required values of exponent a, b, and c are 6, 8, and 9 respectively.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
Given expression,
[tex][x^{24}y^{32}]^{1/4} \times (x^{-3}z^{27})^{1/5} = x^ay^bz^c[/tex]
We have to determine the value of a, b, and c in the exponents, so in order to get the solution we have to simplify the given expression.
[tex][x^{7}y^{8}] \times (x^{-1}z^{9}) = x^ay^bz^c\\x^{7 -1}y^8z^9 = x^ay^bz^c\\x^{6}y^8z^9 = x^ay^bz^c[/tex]
Comparing the exponent across the equal sign we get,
a = 6
b = 8
z = 9
Thus, the required value of exponent a, b, and c are 6, 8, and 9 respectively.
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how are 6:2, 12:4 3:1 equivalent
Answer: They all have the same unit rate
Step-by-step explanation:
3:1 is the unit rate if you multiply it by 2, it's 6:2. If multiplied by 3, it is 9:3. Multiplied by 4, its 12:4
Shape A is reflected in the line with equation x = 2 to give shape B. Shape B is reflected in the line with equation x = 6 to give shape C. Describe fully the single transformation that maps shape A onto shape C.
The single transformation that maps shape A onto shape C is a translation of 4 units to the right.
What is single transformation?A single transformation is a mathematical operation that changes the position, orientation, or size of a geometric figure. It can be a translation, reflection, rotation, or dilation. It is a way to describe how a figure is transformed to obtain a new figure.
To map shape A onto shape C, we need to perform a sequence of transformations.
First, shape A is reflected in the line x = 2 to give shape B. This is a reflection in the vertical line passing through x = 2.
Next, shape B is reflected in the line x = 6 to give shape C. This is a reflection in the vertical line passing through x = 6.
To find the single transformation that maps shape A onto shape C, we can combine these two reflections into a single transformation.
The composition of two reflections in vertical lines is a translation.
In this case, the distance between the vertical lines x = 2 and x = 6 is 4 units. Since shape A is reflected in the first vertical line and shape C is reflected in the second vertical line, the movement is from the first line to the second line, which is to the right.
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Katie and Jill currently share a dresser, and each would like to have one of her own. As a valued member at the local furniture store, you receive an additional discount off each purchase. Calculate the amount of discount off each item.
With the discount, each dresser would cost $450.
What is the discount?
A discount is a reduction in the price of a product or service that is offered by a seller to a buyer. It is a form of incentive that is used to encourage customers to purchase goods or services, often by making them more affordable or attractive.
To calculate the amount of discount off each item, we need to know the original price of each dresser and the percentage discount that is being offered. Let's assume that the original price of each dresser is $500, and the discount being offered is 10%.
To calculate the discount off each item, we can use the following formula:
Discount amount = Original price x Discount rate
where the discount rate is the percentage discount expressed as a decimal (e.g., 10% = 0.1).
So, for each dresser, the discount amount would be:
Discount amount = $500 x 0.1 = $50
Therefore, each dresser would be discounted by $50. This means that the new price for each dresser would be:
New price = Original price - Discount amount
New price = $500 - $50 = $450
Hence, with the discount, each dresser would cost $450.
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Boston filled up
her gas tanks 3/5s of
the way. What
percent is this?
Answer:
60%
Step-by-step explanation:
Matilda deposited $16,100 into a savings account, and she didn't make any
deposits or withdrawals for a year. If, after interest was paid for the year,
Matilda's new balance was $16,731.12, what was the APY of the savings
account?
A. 0.96%
OB. 0.39%
C. 9.62%
O
D. 3.92%
Answer:
The APY would be D, 3.92%
Step-by-step explanation:
Attached Image
50 Points, Will Give Brainlist and Hearts if work is shown and correctly.
I bought my daughter 2 guppy fish for her birthday. Guppy populations grow at a rate of 1700% per month.
Write a formula that models the population of guppies and find the number of guppies I will have in 4 months.
Answer:
2x(1700%x4)+2=138
Step-by-step explanation:
2x2.00=4 2x17=34 34 per month plus the 2 that they already had. 34x4=136 there will be 136 plus 2 after the 4 months
what number has 5 ten thousands, 9 thousands, 2 hundreds, 1 ten, and 8 ones
Answer: 59, 218
Step-by-step explanation:
5 ten thousands = 50,000
9 thousands = 9,000
2 hundreds = 200
1 ten = 10
8 ones = 8
50,000 + 9,000 + 200 + 10 + 8 = 59,218
Answer: 59,218
Step-by-step explanation:
The number that has 5 ten thousands, 9 thousands, 2 hundreds, 1 ten, and 8 ones is 59,218.
4. Manny wants to order video games online. Each video game costs $15.99 and shipping charges
for the entire order is $9.99. If he can spend at most $100, which inequality represents how many
video games he could buy?
A. 15.99x +9.99 ≥ 100
B. 15.99 +9.99x ≥ 100
C. 15.99x +9.99 ≤ 100
D. 15.99 +9.99x ≤ 100
The correct inequality that represents how many video games he could buy is C. 15.99x + 9.99 ≤ 100.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
Let x be the number of video games Manny wants to buy.
The total cost will be the sum of the cost of the video games and the shipping charges:
Total cost = (number of video games) × (cost per game) + (shipping charges)
Total cost = 15.99x + 9.99
Since Manny can spend at most $100, we can write the inequality:
Total cost ≤ 100
15.99x + 9.99 ≤ 100
Therefore, the correct inequality that represents how many video games he could buy is C. 15.99x + 9.99 ≤ 100.
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2. Step 1: Draw and shade a tape diagrar
Step 2: Record the decomposition of t
a.
10
12 I bo not get e
The Tape diagram for 7/8 is shown below.
What is Tape Diagram?A tape diagram is a visual model that students can use to show a mathematical connection or to help them grasp a math idea. Tape diagrams can be used to solve a variety of arithmetic problems, although they are most typically employed to solve word problems.
Tape diagrams are graphic representations that use rectangles to depict the portions of a ratio. Drawing them requires attention to detail because they are a visual model. They simplify complex mathematical word problems by breaking them down.
Given:
Here we can divide the fraction 7/8 as
7/8
= 2/8 + 5/8
= 2/8 + 2/8 + 3/8
So, the tape diagram will have 8 out tapes out of which 7 are shaded.
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Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
By using the properties of the diagonal of the parallelogram, we found the values of x and y as 2 and 7 respectively.
What is a parallelogram?A parallelogram is a straightforward quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. A parallelogram has adjacent angles that add up to 180 degrees.
A parallelepiped is a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of the parallelogram determine its area. A parallelogram's perimeter is determined by the lengths of its four sides.
Here the diagonal of the parallelogram intersects each other.
According to the properties of the paralleogram, the diagonal bisects each other.
So,
2x = x + 2
x = 2
and
5y -5 = y + 23
4y = 28
y = 7
Therefore by using the properties of the diagonal of the parallelogram, we found the values of x and y as 2 and 7 respectively.
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A company has 20 employees. Each employee earns the same salary. If the company pays a total of $730,000 in salaries, how much does each employee earn?
Answer:
$36,500 per employee
Step-by-step explanation:
$730,000/20 employees
ermesyo brings his dogs to traing classes the equation -60+2y 0120=0 re;ates y the total cost of pets training and x the number of classess thanken
The line that the equation represents has a y-intercept of.
What is an example of a y-intercept?
Here are several y intercept instances. So we obtain y = 5(0)2 + 2 = 2 when we replace x = 0, so y-intercept of y Equal 5x2 + 2 is (0, 2). Because we obtain y = -5e0 = -5 when we try substituting x = 0, this same y-intercept of y Equal -5ex is (0, -5).
Y-intercept: Is it 0 or 1?
The point where a straight line intersects the X-axis is known as the Y interception. In the picture above, the line intersects the Value of y at 1. The point is shown by and the value of the Variable y is 1. (0,1). Remember that for the y-intercept, the point's such and such is always zero.
On this note, we must recall that the y-intercept of an equation is the value of when.
Therefore, we have;
-60(0) + 2y -120 = 0
2y = 120
y = 60
Hence, the y-intercept of the line represented by the equation is; 60.
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The complete question is:
Ernesto brings his dog to training classes. The equation -60x + 2y - 120 =0 relates y, the total cost of a pet's training, and x, the number of classes taken Ernesto states that the y-intercept of the line represented by the equation is 30. is he correct?
A business supply store bought some merchandise with a list price of $13,600. The wholesaler extended a trade discount that made the net price $7,480. Find the trade discount rate (as a %).
The trade discount rate for the wholesaler at the net price is 0.45 or 45%.
What is a trade discount?A trade discount is a cut in the list price of products or services provided by a seller to a customer who makes frequent or significant purchases of such items. A trade discount is intended to encourage the customer to make further purchases from the supplier. The discount might change depending on the volume or regularity of purchases and is often given as a percentage of the list price. Retailers or wholesalers that purchase products from producers or suppliers to resell to consumers frequently receive trade discounts.
The discount rate is given by the following formula:
Trade Discount Rate = (List Price - Net Price) / List Price
Substituting the given values, we get:
Discount Rate = (13600 - 7480) / 13600
Discount Rate = 0.45 or 45%
Hence, the trade discount rate for the wholesaler is 0.45 or 45%.
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What is the equation of a line perpendicular to y = 12
x + 3, which has an x-intercept 8 units greater than the x-intercept of y = 12
x + 3?
By analytic geometry, the equation of the line y = - (1 / 12) · x + 11 is perpendicular to the line y = 12 · x + 3.
How to derive the equation of a line perpendicular to another line
In accordance with analytic geometry, lines are described by algebraic equations of the form:
y = m · x + b
Where:
x - Independent variable.y - Dependent variable.m - Slopeb - InterceptThe relationship between the slopes of two perpendicular lines:
m · m' = - 1
First, write the original line:
y = 12 · x + 3
Second, write the slope and the intercept of the original line:
m = 12, b = 3
Third, the slope and the intercept of the perpendicular line:
m = - 1 / 12, b = 11
Fourth, write the equation of the perpendicular line:
y = - (1 / 12) · x + 11
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Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is $62, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?
Answer is C
Using expressions, we get that$836 will be paid in total throughout the first 12 months.
What exactly is an expression?The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs is known as a mathematical expression.
Given is that the starting balance is 62. As a result, the sum rises by 4%.
The time period is 12, but he will pay for 11 extra months, not including the first month's 62 dollars.
The formula is: y=62(1+0.11
y=62(1.04) ^11
The amount to be paid in the previous month is: y=95.45$
This geometric sequence has r equal to 1.04 in this case. The total will be determined as follows:
Sum = 62(1.04¹¹-1)/1.04-1
Sum = $836
Hence, $836 will be paid in total throughout the first 12 months.
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HELPPPPPP give linear function for total remaining oil reserves
A) R = -19t + 1890 B) 11 years from now, the total oil reserves will be 1681 billions of barrels. C) The world's oil reserves will be completely depleted (all used up) approximately 99.47 years from now.
Describe Linear equation?The slope of a line represents the rate of change between the x and y variables, or the rise over the run. A positive slope means that the line is increasing from left to right, while a negative slope means that the line is decreasing from left to right. A slope of zero means that the line is horizontal, while an undefined slope means that the line is vertical.
A) The rate of decrease in oil reserves is 19 billion barrels per year, which can be represented as a slope of -19. The initial oil reserves are 1890 billion barrels, which is the y-intercept. Therefore, the linear equation for the total remaining oil reserves R, in terms of t (the number of years since now) is:
R = -19t + 1890
B) To find the total oil reserves 11 years from now, we can substitute t = 11 into the equation:
R = -19(11) + 1890
R = -209 + 1890
R = 1681 billion barrels
Therefore, 11 years from now, the total oil reserves will be 1681 billions of barrels.
C) If no other oil is deposited into the reserves, the reserves will be completely depleted when R = 0. We can use the linear equation to find how long it will take for the reserves to reach 0:
0 = -19t + 1890
19t = 1890
t = 99.47 years
Therefore, the world's oil reserves will be completely depleted (all used up) approximately 99.47 years from now, assuming no new reserves are discovered or added.
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Explain what you think will happen to the graph of:
y = |x - 2|
The vertex of function is (2, 0).
What is Graph?In mathematics, a graph is defined as a graphical representation or diagram that organises facts or values. The graph's points frequently reflect the relationship between two or more things.
A graph is a non-linear data structure composed of nodes (vertices) and edges. The edges in the graph connect any two nodes, which are also known as vertices.
Given:
y = |x - 2|
When we plot the graph as y = |x - 2|.
we get the vertex of the function y = |x - 2| at (2, 0).
Also, the function y = |x - 2| cuts the y axis at (0, 2).
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Solve the right triangle
Answer: question 1 is 62° and radius is 1.0821
question 2 is 454.91794m
question 3 is 855.57622m
Step-by-step explanation:
Given c=969 and ∠α=28°,
a = 454.91794
b = 855.57622
∠β = 62° = 1.0821 rad
h = 401.6687
area = 194,608.48704
perimeter = 2,279.49416
inradius = 170.74708
circumradius = 484.5
im only in 8th grade so don't trust me on this but i think im right
What direction does the magnetic force point?
X X X X X X
+q
X X X X X X
хххх хх
V
X X X X X X
A) Up
B) Left
C) Into the Board
Binto
board
D) Down
E) Right
F) Out of the Board
Answer:
E
Step-by-step explanation:
Acellus
Consider the function y=z²+2x+3
Part A
What are the coordinates of the vertex of the given function? Show your work.
Part B
What is the function in vertex form? Pleaseee help!!!
Answer:
am not sure
Step-by-step explanation:
I will help you but yeh so y=20
Use the 2021 marginal tax rates in the table to compute the tax owed by the person with the given filing status and
taxable income.
single with a taxable income of $62,000
Click the icon to view the 2021 marginal tax rates.
The tax owed is $.
The tax owed by a person in 2021 who had a single filling status with a taxable income of $ 62, 000 is $ 9, 388. 50.
How to find the tax owed ?In 2021, the Internal Revenue Service issued rates such that a person with a single filling status and earning $ 62, 000 per year would be subject to tax of ;
= 4, 664 + 22 % of the amount over $ 40, 525
This means that the tax owed by this taxpayer with a $ 62, 000 gross income is :
= 4, 664 + ( 22 % x ( 62, 000 - 40, 525 ) )
= 4, 664 + ( 22 % x 21, 475 )
= 4, 664 + 4, 724. 50
= $ 9, 388. 50
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Write the ratio as a fraction in lowest terms. Compare in inches. 3 feet to 55 inches
The ratio as fraction is 36/ 55.
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
We have to find the ratio for 3 feet to 55 inches.
So, 3 feet to 55 inches
= 3 feet/ 55 inches
= 3 feet : 55 inches
= 3 x 12 inches : 55 inches
= 36 inches : 55 inches
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Graph the line passing through (3,4) whose slope is m=−1.
The equation of the line passing through (3,4) whose slope is -1 will be y = - x + 7.
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.
The slope of the line is -1. Then the equation is written as,
y = - 1x + c
The equation passes through (3, 4), then we have
4 = - 1(3) + c
4 = - 3 + c
c = 4 + 3
c = 7
The equation of the line passing through (3,4) whose slope is -1 will be y = - x + 7.
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diametro de un circulo de 3.5m
Answer:
[tex]625m^{2}[/tex]
Step-by-step explanation:
A recriprocal function has a vertical asymptote located at x = -2 and a horizontal asymptote located at y = 5. Write an equation that could represent this function.
Answer:
A reciprocal function can be written in the form of f(x) = a / (x-h) + k, where a is a constant, h is the x-value of the vertical asymptote, and k is the y-value of the horizontal asymptote.
Given that the vertical asymptote is located at x = -2 and the horizontal asymptote is located at y = 5, we can write:
f(x) = a / (x - (-2)) + 5
Simplifying this expression, we get:
f(x) = a / (x + 2) + 5
Therefore, an equation that could represent this reciprocal function is:
f(x) = a / (x + 2) + 5
Step-by-step explanation:
Please help with this math question!
The solution is, the expression is -3+0i, so, a = -3 & b = 0.
What is complex number?In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation {\displaystyle i^{2}=-1}; every complex number can be expressed in the form a + bi, where a and b are real numbers.
here, we have,
So we have:
given that,
(2+6i) - (5+6i)
First, distribute:
2+6i - 5 -6i
Combine like terms:
2 - 5 + 6i - 6i
Add:
-3 + 0
So, in the a+bi format, we will have:
-3 + 0i
Hence, The solution is, the expression is -3+0i, so, a = -3 & b = 0.
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I need help! Please include an explanation.
Answer: H: (7, 1)
Step-by-step explanation: If the endpoints of A and B are (3, 5) and (11, -3), you just have to find the middle of the x and y coordinate for each endpoint. The middle of 3 and 11 is 7, and the middle of -3 and 5 is 1, therefore the middle point would be (7, 1).
A bank is offering you a mortgage on a house that costs $250,000. The down payment is 3% of the purchase price and the closing costs are another 3%. The interest rate is 5.5% and the loan term is 30 years.
What amount of money do you need to save to purchase the home (down
payment + closing costs)?
What is the total amount the bank will be loaning you?
What do you expect your monthly payments to be?
Amount of money do you need to save to purchase the home is $15,000. The total amount the bank will be loaning you is $235,000. You can expect to pay around $1,332.29 per month.
Describe Down Payment?A down payment is a payment made upfront when purchasing a large ticket item, such as a home or a car. It is a percentage of the total purchase price that the buyer pays out of their own pocket, with the remainder of the price financed through a loan.
To calculate the down payment, we need to multiply the purchase price by the percentage:
Down payment = 0.03 x $250,000 = $7,500
To calculate the closing costs, we also need to multiply the purchase price by the percentage:
Closing costs = 0.03 x $250,000 = $7,500
So the total amount of money needed to purchase the home is the sum of the down payment and the closing costs:
Total cost = $7,500 + $7,500 = $15,000
The amount the bank will be loaning you is the purchase price minus the down payment and the closing costs:
Loan amount = $250,000 - $15,000 = $235,000
To calculate the monthly payments, we need to use the formula for a fixed-rate mortgage:
M = P [ i(1 + i)ⁿ ] / [ (1 + i)ⁿ⁻¹]
where:
M = monthly payment
P = loan amount
i = monthly interest rate (5.5% / 12 = 0.0045833)
n = total number of payments (30 years x 12 months = 360)
Plugging in the numbers, we get:
M = $235,000 [ 0.0045833(1 + 0.0045833)³⁶⁰ ] / [ (1 + 0.0045833)³⁶⁰ – 1]
M ≈ $1,332.29
So you can expect to pay around $1,332.29 per month for 30 years to pay off the mortgage.
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