The sale price of a new sofa is $865 and sales tax is figured at 0.10 times the price. What is the total amount paid for the sofa?​

Answer:

a.divide the amount by the percentage.

$2700× 25%

Ans:$675

subtract the selling price from the profit.

$2700 - $675

Ans:$2025

b.divide the 15% from selling price.

$2700 × 15%

Ans: 405

deduct the selling from from the discount given.

$2700 - $405

Ans: $2,295

If you start with 1/4, you can create an entire class of fractions equivalent to 1/4 by multiplying 1/4 by different forms of the number 1.

The connection between two numbers, known as the numerator and the denominator, is expressed mathematically as fractions. The number of pieces is represented by the numerator, while the total number of components is represented by the denominator. For instance, if a pizza is cut into 8 slices and someone eats 3 of them, the fraction corresponding to the quantity consumed would be 3/8.

Diverse mathematical ideas, including division, ratios, and proportions, can be represented using fractions. They can also be used to represent decimal and percentage values, with the decimal point placed to the right of the numerator and the number of decimal places represented by the denominator.

To learn more about fractions, visit:

https://brainly.com/question/10354322

#SPJ4

Sliced peaches at $1.49 per 16- ounce can is the least expensive per ounce.

As the common term between every option is ounce , we'll calculate every value per ounce.

1 ] frozen sliced peaches = $2.99/ 16 = $0.18 per ounce.

2] Sliced peaches = $1.49/16 = $0.09 per ounce.

3] Sliced peaches = $1.29/12 = $0.10 per ounce.

4] Frozen sliced peaches = $0.25 per ounce.

On comparing the four values -   b] $0.09 is the least expensive among them all.

Hence, sliced peaches at $ 1.49 per 16- ounce can is the least expensive per ounce.

To understand more about division, refer -

https://brainly.com/question/28768606

#SPJ4

From the curve given we can see that the graph that shows a function where f(2)= 4 is Graph A.

A quadratic graph is in form of a parabola opened upward or downward.

According to the question, we are to select a graph that has a coordinate (2, 4) on its curve.

To determine thus, we will locate the value of 2 on the x-axis and value of 4 on the y-intercept and trace whether the intersecting point is on the curve.

From the curve given we can see that the graph that shows a function where f(2)= 4 is Graph A.

Learn more on graph here; https://brainly.com/question/1523847

#SPJ1

The probability of getting a return of 200% or more in a single year is approximately 0.0000317 or 0.00317%.

Assuming that the returns from holding small-company stocks are normally distributed, the probability of doubling or tripling your money in a single year can be estimated using the normal distribution formula.

To calculate the probability of doubling your money, you need to find the number of standard deviations away from the mean that represents a return of 100%. If we assume that the average return for small-company stocks is 10% per year with a standard deviation of 20%, we can use the formula:

Z = (100% - 10%) / 20% = 4.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 100% or more in a single year is approximately 0.0000317 or 0.00317%.

Similarly, to calculate the probability of tripling your money, you need to find the number of standard deviations away from the mean that represents a return of 200%. Using the same formula as above, we get:

Z = (200% - 10%) / 20% = 9.5

Using a normal distribution table or calculator, we can find that the probability of getting a return of 200% or more in a single year is approximately 0.000000002 or 0.0000002%.

It's important to note that these calculations are based on assumptions and estimates, and actual returns may vary significantly. Investing in small-company stocks involves significant risks, and investors should carefully consider their investment goals, risk tolerance, and overall financial situation before making any investment decisions.

To know more about probability, refer to the link below:

https://brainly.com/question/14188451#

#SPJ11

7p = - 42

p = -42/7

p = - 6

lol

The largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

An initial-value problem is a type of boundary-value problem in mathematics, particularly in the field of differential equations.

The given initial-value problem is a separable differential equation, which can be written as:

dy/dt = -2(t + 1)y²

Integrating both sides, we get:

(1/y) = t² + 2t  + C

where C is the constant of integration.

Since we have an initial condition, we can use it to find the value of C:

y(0) = -1/15
C = -1/15

Solving for C, we get:

C = -1/15

So, the solution to the differential equation is:

(1/y) = t² + 2t -1/15

y = 1 / (t² + 2t -1/15)

The solution is defined for all t ≠ -1, since y = 0 is not defined. So, the largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).

Learn more about the initial value problem here:
https://brainly.com/question/30503609
#SPJ1

Answer:

:)

Answer:

14 months

Step-by-step explanation:

14x3=42

42+90= 132

Answer:

C. p -> q

Step-by-step explanation:

If this was a question from Edge2020, this should be the answer :) Hope this helps!

Answer: 16

Step-by-step explanation: 40/5 is 8 and 2 times 8 is 16. 5:2=40:16

Answer:

i think it's 3400:)

Step-by-step explanation:

15% of 4000 is 600

Answer:

the fish has a final elevation of negative 2

Step-by-step explanation:

Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

Answer:

4, know that in a slope-intercept form the coefficient of x is the slope.

Step-by-step explanation:

Answer:

Slope is 4

Step-by-step explanation:

The image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is:

What is the image of the point (0,5) after a rotation of 180° counterclockwise about the origin?

The rule for the above transformation:

(x, y) → (-x, -y)

(0, 5) → (0, -5)

Thus, the image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

Answer:

25 feet per second

Step-by-step explanation:

40 yards = 120 feet

120/4.8 = 25

Answer:

25

Step-by-step explanation:

40 yards = 120 feet

120 ÷ 4.8 = 25

Answer:

14

Step-by-step explanation:

x / y = 5 / 3, then 3x = 5y , x = 5/3y

we can type 5/3y instead of x ;

5/3y + y = 8/3y = 56, then y = 21

.

now let's find x ;

x - 21 = 56, then x = 35

x - y = 35 - 21 = 14

Step-by-step explanation:

pleases try to understand this the second photo is the first, thanks

The present value of the payments is smaller than the amount of the loan, so you will not be able to pay off the loan.

The present value of the payments refers to the current value of the future payments, considering the time value of money. In this case, the payments are made over a period of 8 months, and each payment is listed. To determine if the payments will be enough to pay off the credit card, we need to calculate the present value of these payments and compare it to the initial loan amount of $5,000.

Since the interest rate on the credit card is 1.5% per month, we need to discount each payment back to its present value. By discounting the payments, we can see the equivalent value of these payments in today's dollars. If the present value of the payments is equal to or greater than $5,000, it would be enough to pay off the loan. However, if the present value is smaller than $5,000, it means the payments will not be sufficient to pay off the loan.

In this case, without specific information about the discount rate used to calculate the present value, we cannot make an exact determination. However, based on the given information, which states that the present value of the payments is smaller than the amount of the loan, it suggests that the payments will not be enough to pay off the credit card debt.

Learn more about discount here: brainly.com/question/31746893

#SPJ11

The

equation of the circle

is: (x - 5.9)^2 + (y - 6.7)^2 = 98

To find the equation of a circle, we use the formula:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the center of the circle, and r represents the radius.

Given that the circle has a radius of √98 units and is centered at (5.9, 6.7), we can substitute these values into the formula:

(x - 5.9)^2 + (y - 6.7)^2 = (√98)^2

Simplifying further:

(x - 5.9)^2 + (y - 6.7)^2 = 98

Therefore,

the equation of the circle is:

(x - 5.9)^2 + (y - 6.7)^2 = 98

This equation represents all the points on the plane that are equidistant from the center (5.9, 6.7) and have a distance of √98 units from the center.

To know more about equation of circle:

https://brainly.com/question/15853023

#SPJ11

The cone is defined as the pyramid which has a circular cross section. So the cones are also called circular cones. Here the volume of cone is  83.56 cm³.

A cone has a three dimensional geometry which narrows smoothly from a flat base to a point called the apex or vertex. The formula used to calculate the curved surface area and total surface area is called the cone formula.

πr ( r+l) = 130.73

3.14 ×4 (4+l) =  130.73

4+l = 130.73 / 12.56

4+l = 10.40

l = 6.4 cm

r² + h² = l²

4²+ h² = 6.4 ²

h² = 24.96

h = 4.99 cm

Volume = 1 /3 Πr²h

1/3× 3.14 × 4×4× 4.99

V = 83.56 cm³

Thus the volume of cone is 83.56 cm³.

To know more about cone, visit;

https://brainly.com/question/16234713

#SPJ1

The magnitude of the acceleration of the charge q moving in a uniform electric field E in the x direction with speed v is given by a = dtdv = mqE (1 − c2v2)3/2.

The significance of this dependence of the acceleration on the speed is that when the particle moves faster, the magnitude of the acceleration decreases. As the speed increases, the kinetic energy of the particle increases, and this energy is being taken away from the electric field, so the acceleration decreases.

If the particle starts from rest at x = 0 at t = 0, the speed of the particle after a time t has elapsed is v = cEt/m and the position of the particle after the same amount of time is x = (1/2)ct2E/m. The limiting values of v and x as t → ∞ are v → ∞ and x → ∞ respectively.

To know more about kinetic energy, refer here:

https://brainly.com/question/26472013#

#SPJ11

The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

Based on the ANOVA table you've provided, you're interested in determining the treatment mean square. The treatment mean square (also called mean square between) is calculated by dividing the treatment sum of squares by the treatment degrees of freedom (df). Unfortunately, the ANOVA table appears to be incomplete, and I am unable to give you the specific numbers for the calculations.

However, I can guide you on how to calculate the treatment mean square. Once you have the treatment sum of squares and treatment df, simply follow this formula:

Treatment Mean Square = Treatment Sum of Squares / Treatment df

After applying this formula, you'll be able to choose the correct answer from the multiple-choice options you've mentioned: 71.6, 71.8, 561, or 537.

The treatment mean square can be calculated by dividing the sum of squares for treatment by the degrees of freedom for treatment. In this case, the sum of squares for treatment is 1,122 and the degrees of freedom for treatment is 2. Therefore, the treatment mean square is 1,122/2 = 561. Therefore, the correct answer is: 561.

To learn more about Mean Square, click here:

brainly.com/question/30403276

#SPJ11

Answer:

21/50

Step-by-step explanation:

Fraction that voted for team A = 7/10

Fraction of those that wear red cap = 3/5 of fraction of team A

Fraction of those that wear red cap = 3/5 of 7/10

Fraction of those that wear red cap = 3/5*7/10

Fraction of those that wear red cap = 21/50

Hence the fraction of people that wear red cap is 21/50

Using the line plot, the difference in miles between the student who live closet and further away is: 2.75 miles.

A line plot, also known as a line graph or line chart, is a type of data visualization that represents data points using a series of connected line segments. It is commonly used to display the trend or pattern of data over time or another continuous variable.

The missing line plot is shown in the image attached below. It shows that:

the miles for the student who live closest is 5.

the miles for the student who live further is 7.75.

The difference = 7.75 - 5 = 2.75 miles.

Learn more about line plot on:

https://brainly.com/question/27246403

#SPJ4

Answer:

93

Step-by-step explanation:

add 56+31 which give you 87

subtract 87 from 180 (180-87)

and you get 93 for x

Answer:

93

Step-by-step explanation:

56+31=87

180-87=93