A salesperson earned a commission of
$806.59
last week on gross sales of
$5880
. If returns and allowances were 11.5% of gross sales, what is his rate of commission based on net sales?

Answers

Answer 1

Using percentages we know that the rate of commission of the salesperson based on the net sales is 15.5%.

What are percentages?

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and sometimes "pc" is also used, the percent symbol, "%," is frequently used to indicate it.

A % is a number without boundaries and without a standard measurement.

So, calculate as follows:

5880/100 * 11.5 = 676.2

Now,

5880 - 676.2 = 5,203.8

Now, calculate the percentage as follows:

806.59/5,203.8 * 100

15.5%

Therefore, using percentages we know that the rate of commission of the salesperson based on the net sales is 15.5%.

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Related Questions

Verify that the indicated family of functions is a solution of the given differential equation. dP/dt = P(1-P); P = ce^t / 1+ ce^t?

Answers

The value for differential equation is found as -

[tex]\frac{dP}{dt} =\frac{d}{dt} (\frac{c_1e^t}{1+c_1e^t})\\[/tex]

[tex]\frac{dP}{dt} - (\frac{c_1e^t}{(1+c_1e^t)} )(1-\frac{c_1e^t}{(1+c_1e^t)^2})\\ =(\frac{c_1e^t}{(1+c_1e^t)^2} )-(\frac{c_1e^t}{1+c_1e^t})(1-\frac{c_1e^t}{1+c_1e^t})=0[/tex]

What is differential equation?

Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation.

The equation given is - [tex]P=\frac{c_1e^t}{1+c_1e^t}[/tex]

Take derivative with respect to t -

[tex]\frac{dP}{dt} =\frac{d}{dt} (\frac{c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =\frac{d}{dt}c_1 (\frac{e^t}{1+c_1e^t})[/tex]

By Quotient rule [tex]\frac{d}{dt} \frac{u}{v} =\frac{v\frac{du}{dt}- u\frac{dv}{dt}}{v^2}[/tex] -

[tex]\frac{dP}{dt} =c_1 (\frac{(1+c_1e^t)\frac{d}{dt}(e^t)-(e^t)\frac{d}{dt}(1+c_1e^t)}{(1+c_1e^t)} )\\\frac{dP}{dt} =c_1 (\frac{(1+c_1e^t)(e^t)-(e^t)(0+c_1e^t)}{(1+c_1e^t)} )[/tex]

([tex]\frac{d}{dx} e^t=e^t[/tex] and [tex]\frac{d}{dx} c_1=0[/tex] here [tex]c_1=[/tex]constant)

[tex]\frac{dP}{dt} =c_1e^t (\frac{(1+c_1e^t-c_1e^t)}{(1+c_1e^t)^2} )\\\frac{dP}{dt} = (\frac{(c_1e^t)}{(1+c_1e^t)^2} )[/tex]

Now, [tex]\frac{dP}{dt} =P(1-P)[/tex] -

[tex]\frac{dP}{dt} - (\frac{c_1e^t}{(1+c_1e^t)} )(1-\frac{c_1e^t}{(1+c_1e^t)^2})\\ =(\frac{c_1e^t}{(1+c_1e^t)^2} )-(\frac{c_1e^t}{1+c_1e^t})(1-\frac{c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{1}{1+c_1e^t}-1+\frac{c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{1-(1+c_1e^t)+c_1e^t}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{1-1-c_1e^t+c_1e^t}{1+c_1e^t})\\[/tex]

[tex]\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(\frac{0}{1+c_1e^t})\\\frac{dP}{dt} =(\frac{c_1e^t}{(1+c_1e^t)} )(0)\\\frac{dP}{dt} =0[/tex]

Therefore, the value is [tex]\frac{dP}{dt} =0[/tex].

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✓ Completed Question Help A nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost $20.65. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of another 2 panes of glass? 2.1.PS-10

Answers

Answer: $ 5.90 is the the cost of 2 panes of glass

In order to solve this we must divide the number of panes, by the cost spent on the panes. 20.65 divided by 7 is 2.95. This means that each pane is $ 2.95. If there are two panes that were also broken, we have to add 2.95 twice, which is $5.90. This means that the nursey owner must spend another $5.90 on two panes.

I hope this helps & Good Luck <3 !!!

Use Exercise 41 to show that if the first 10 positive integers are placed around a circle, in any order, there exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17 .

Answers

With placing positive integers around the circle. Yes, there exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17.

What exactly is a circle?

A circle is a kind of ellipse with zero eccentricity and two foci that are coincident. A circle is also known as the locus of points drawn at equal distances from the center. The radius of a circle is the distance from its center to its outside line. The diameter of a circle is the line that divides it into two equal sections and is equal to twice the radius.

The equation for a circle in the plane is:

(x-h)^²+ (y-k)² = r²

When the coordinate points are (x, y)

(h, k) is the coordinate of a circle's center.

where r is the circumference of a circle.

where circle area = πr²

Circle circumference=2πr

Now,

First 10 positive integers

that are 1,2,3,4,5,6,7,8,9,10

after putting these in circle 1 and 10 will be adjacent

and

To prove :-there exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17 .

Now as sum of =5+6+7=18

6+7+8=21

7+8+9=24

Hence,

There exist three integers in consecutive locations around the circle that have a sum greater than or equal to 17.

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Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) a = 57 , b = 43 , c = 58

Answers

The Area of the given triangle is 1146.27 sq. units.

Heron's Formula:

An important plane geometry theorem also referred to as Hero's formula.

By dividing the quadrilateral into two triangles along its diagonal, this formula is also used to determine the quadrilateral's surface area.

Given the semiperimeter and the lengths of the sides a, b, and c

[tex]p=\frac{a+b+c}{2}[/tex]

of a triangle, Heron's formula gives the area of the triangle as

[tex]A=\sqrt{p(p-a)(p-b)(p-c)}[/tex].

Now in the given question,

a = 57

b = 43

c = 58

Hence, the semi-perimeter,

[tex]p=\frac{a+b+c}{2}[/tex]

[tex]p=\frac{57+43+58}{2} =79[/tex]

Now we calculate the area,

[tex]A=\sqrt{p(p-a)(p-b)(p-c)} \\A=\sqrt{79(79-47)(79-43)(79-58)} \\A=\sqrt{79(22*36*21)} \\A=\sqrt{79*16632} \\A=\sqrt{1313928} \\A=1146.266[/tex]

Hence, the area of triangle is 1146.27 sq. units.

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Can somebody please help awnser these questions!

Answers

The answers to each part is given below.

What are algebraic expressions?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a charitable organization.

{ a } -

Assume that the annual salary of the baseball player is ${x}. The amount donated would be -

10% of {x} = ${x/10}

In $120, you can send 1 child to school.

In $1, you can send (1/120) childrens to school.

In ${x/10}, you can send {x/1200} childrens to school.

{ b } -

Same answer as in the case of part {a}.

Therefore, the answers to each part is given above.

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1-
Use the price-demand function below, to answer parts (A) and (B).
p(x)=75-3x
1≤x≤20
(A) What is the revenue function?
R(x) =
What is the domain of the revenue function?
(B) complete table
X R(x)
1 72
4
8
12
16
20

Answers

The revenue function (Rx) when x is 1, 4, 8, 12,16, 20 are 72,252,468,432, and 300 respectively.

What is revenue function?

Revenue function is a formula or equation representing the way in which particular items of income behave when plotted on a graph. For example, the most common revenue function is that for total revenue in the equation y = bx, where y is the total revenue, b is the selling price per unit of sales, and x is the number of units sold.

R(x) = x × P(x)

When x = 1

R(x) = 1(75-3)

R(x) = 72

when x = 4

R(x) = 4( 75-12)

= 252

when x = 12

R(x) = 12(75-36)

R(x) = 468

when x = 16

R(x) = 16( 75-48)

= 432

when x = 20

R(x) = 20( 75-60)

= 300

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How much stainless-steel containing 15% chromium and stainless-steel containing 18% chromium must be mixed to create 9.00 kg new stainless-steel with 17% chromium?

Answers

The solution to the system of equations is 6kg of 15 % chromium and 3kg of 18 % stainless steel

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of chromium be x

Let the amount of stainless steel be y

The percentage of amount of chromium = 15 % of x

The percentage of amount of stainless steel = 18 % of y

Now , the amount of mixture = 9 kg

The percentage of amount of mixture = 17 %

So , the equation will be

x + y = 9 be equation (1)

0.15x + 0.18y = 0.17 ( 9 )

On simplifying the equation , we get

15x + 18y = 153

Divide by 3 on both sides of the equation , we get

5x + 6y = 51 be equation (2)

Multiply equation (1) by 5 , we get

5x + 5y = 45 be equation (3)

Subtracting equation (3) from equation (2) , we get

y = 6 kg

So , the value of x = 3 kg

Hence , the mixture contains 6kg of 15 % chromium and 3kg of 18 % stainless steel

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i need help pleaseee i would appreciate it

here is the picture

Answers

The values of the compositions of the functions are.

f(g(5)) = 4g(f(1)) = 1f(f(4)) = 0g(g(3)) = 5How to evaluate the expressions?

Here we have two graphs for functions f(x) and g(x), and we need to use these to find the values of some compositions.

First, we want to find the value of:

f(g(5))

Using the second graph we can see that g(5) = 0, then:

f(g(5)) = f(0)

and using the first graph we can see that f(0) = 4, then

f(g(5)) = 4.

The second expression is:

g(f(1))

And we cans ee that f(1) = 3, then:

g(f(1)) = g(3) = 1

So:

g(f(1)) = 1

And so on, for the next two we have:

f(f(4)) = f(2) = 0

g(g(3)) = g(1) = 5

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The points (14,8) and (28,16) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.

Answers

The slope of the line through the points is 4/7 and the graph is given below.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given that, the points (14,8) and (28,16) form a proportional relationship.

A proportional relationship will be of the form y = kx, where k is the slope or constant of proportionality.

We have two points (14,8) and (28,16).

Slope = (16 - 8) / (28 - 14) = 8/14 = 4/7

Equation of the line is y = 4/7 x

When x = 0, y = 0

When x = 7, y = 4/7 × 7 = 4

When x = 14, y = 4/7 × 14 = 8

When x = 21, y = 4/7 × 21 = 12

and so on.

So the points are (0, 0), (7, 4), (14, 8), (21, 12), (28, 16) and so on.

Hence the slope of the line is 4/7.

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Given quadrilateral DEFG with vertices
D(-9,-5), E(5,4), F(-6,-2), and G(4,2).
Determine the coordinates of the image of
DEFG after being reflected about the origin.

Answers

The coordinates of the image of quadrilateral DEFG after being reflected about the origin include the following:

D' = (9, 5).

E' = (-5, -4).

F' = (6, 2).

G' = (-4, -2).

What is a reflection?

In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

Generally speaking, reflecting a point about the origin is a a type of transformation which causes both the x-coordinate and the y-coordinate to become negated (the signs are changed);

(x, y) → (-x, -y)

Ordered pair D = (-9, -5) → Ordered pair D' = (9, 5).

Ordered pair E = (5, 4) → Ordered pair E' = (-5, -4).

Ordered pair F = (-6, -2) → Ordered pair F' = (6, 2).

Ordered pair G = (4, 2) → Ordered pair G' = (-4, -2).

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IS THIS RIGHTT ???
PLEASE HELP MEEEE

Answers

The coordinate of the quadrilateral DEFG after trnaslation, reflection and dilation is mention on the graph.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The vertices of the quadrilateral DEFG (Red) is given as,

D(2, 2), E(6, 2), F(8, 4), G(2, 4)

The vertices of the quadrilateral D'E'F'G' after translation (Green) is given as,

D'(2, -4), E'(6, -4), F'(8, -2), G'(2, -2)

The vertices of the quadrilateral D"E"F"G" after reflection (Purple) is given as,

D"(-2, -4), E"(-6, -4), F"(-8, -2), G"(-2, -4)

The vertices of the quadrilateral D'''E'''F'''G''' after reflection (Black) is given as,

D'''(-1, -2), E'''(-3, -2), F'''(-4, -1), G'''(-1, -2)

The coordinate of the quadrilateral DEFG after trnaslation, reflection and dilation is mention on the graph.

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Which of the following is not a reason for testing if the population correlation coefficient is zero?
-To see if r and rho (rho. are equal)
-All of the options are correct.
-To determine if a significant X-Y relationship exists.
-To make inference from sample to population.
-To bring sample size into the analysis.

Answers

The correct option on this statistics topic is (c) To determine if a significant X-Y relationship exists.

What is statistics as a subject?

Statistics is a science and perhaps also the art of learning from data. As a discipline, it deals with the collection, analysis, and interpretation of data, and the effective communication and presentation of data-based results.

What is correlation coefficient?

In statistics correlation coefficient is a single number that represents the strength and direction of the relationship between variables.

Different types of correlation coefficients may be appropriate for your data, depending on the measurement level and distribution. Pearson's product-moment correlation coefficient (Pearson's r) is commonly used to assess the linear relationship between two quantitative variables.

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Each ounce of a substance A supplies 3% of the nutrition a patient needs. Substance B supplies 10% of the required nutrition per ounce, and substance C supplies 15% of the required nutrition per ounce. If digestive restrictions require that substances A and C be given in equal amounts, and the amount of substance B be1 1/5
of either of these other amounts, find the number of ounces of each substance that should be in the meal to provide 100% of the required nutrition.
Incorrect: Your answer is incorrect.
______oz of substance A
______oz of substance B
______oz of substance C

Answers

Answer:

x = 17.2 oz of substance A and C

x = 3.7 oz of substance B

Step-by-step explanation:

This is a word problem in mathematical optimization, which involves finding the values that maximize or minimize some objective function. To solve this problem, we need to find the optimal number of ounces of each substance to provide 100% of the required nutrition.

Let x be the number of ounces of substance A and C. Then the amount of substance B is 1 1/5 times either of these, or 1 1/5 x.

Since each ounce of substance A supplies 3% of the nutrition, the total contribution from A is 3x%. Similarly, the total contribution from B is 10 * 1 1/5 x = 11 x/5% and from C is 15x%.

The objective is to find x such that the total contribution from all three substances is 100%, or 3x + 11 x/5 + 15x = 100.

Solving for x, we have

29x/5 = 100

x = 100 * 5 / 29 = 17.24 oz

So, 17.24 oz of substance A and C, and 1 1/5 * 17.24 oz = 3.65 oz of substance B should be in the meal. Rounding to the nearest tenth, we have:

x = 17.2 oz of substance A and C

x = 3.7 oz of substance B

3. Find the area of the following shape. Make sure to indicate what shapes were used, by sketching on the image, listing formulas, and show work listed for each shape. (5 total points – 2 for accurate shapes, 2 for accurate work, 1 for total area answer)

Answers

the total area of the figure will be 53.13 unit square.

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given a figure that we will transform into three parts A, B, and C as shown in the attached figure

Where A is a semicircle with a radius of 3 unit

b is a triangle with a height of 6 and a base of 3 units

and C is a rectangle with a length of 6 and a width of 5 units

From the general formulas of area,

area of semicircle = pi/2 radius * radius

Area of rectangle = length * width

Area of triangle = 1/2 height * base

in our case,

area of semicircle = pi/2 3* 3

Area of semicircle = 14. 13 unit square

Area of rectangle = 6* 5

Area of rectangle = 30 unit square

Area of triangle = 1/2 6* 3

Area of triangle = 9

Thus, the total area of the figure will be = 14. 13 + 30 +9

Therefore, the total area of the figure will be 53.13 unit square.

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uncle sonny believes that dilations will result in the congruence of corresponding lines m and line segments. what do you say?

Answers

Answer:

Yes, Uncle Sonny is correct.

Step-by-step explanation:

If two figures are related by a dilation, then corresponding lines or line segments in the figures will be congruent. In a dilation, the ratio of the lengths of corresponding lines or line segments remains constant, which means they will have the same length. Therefore, they are congruent.

Suppose P(t) is the number of individuals infected by a disease t days after it was first detected. Interpret P'(50) = -200.

Answers

Answer: P'(50) = -200 means that the derivative of P(t) with respect to t, evaluated at t = 50, is equal to -200. The derivative of a function represents the rate of change of the function. In this case, P'(50) = -200 represents the rate of change of the number of individuals infected by the disease 50 days after it was first detected.

Since P'(50) = -200, this means that the number of individuals infected by the disease is decreasing at a rate of 200 individuals per day when t = 50. In other words, 200 individuals are recovering or being treated each day, so the total number of infected individuals is decreasing.

Step-by-step explanation:

. . Write all the three-digit numbers between 100 and 160 which are divisible by 2 and not divisible by 4 and divisible by 5 14

Answers

Sorry but, There is no three-digit number between 100 and 160 which is divisible by 2 and not divisible by 4 and divisible by 5.

use differentials to approximate the value of sqrt(99.4). what is the percent error oin this calculation

Answers

The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For percentage error Here first we have to find the value of sqrt(99.4) by normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4) we will use formula for linear approximation as given below

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate f'(x) and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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Use interval notation to indicate all real numbers greater than or equal to −3 and less than 13.

Answers

Answer: [-3, 13)

A square bracket [] means it includes the number, and a round bracket () means that value is not included.

HELP ASAP FAST!!!!!!!

Answers

The solution is, the value of x= 12.4.

What is Pythagorean theorem?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

here, we have,

radius = 22

so, from the given diagram we get,

height of the right angle triangle = √22²-19.8²

=9.59

so, x = 22- 9.59

= 12.41

Hence, The solution is, the value of x= 12.4.

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Graphs of the functions f and g are given.
(a) Which is larger, f(0) or g(0)?
A. f(0) is larger.
B. g(0) is larger.
C. Neither is larger.
(b) Which is larger, f(3) or g(3)?
A. f(3) is larger.
B. g(3) is larger.
C. Neither is larger.

Answers

After analyzing, it can be concluded that the functions f and g are:

A. f(0) is larger than g(0).

B. f(3) is larger than g(3).

Two Functions is Larger

To determine which of the two functions is larger at any given point, one must compare the heights of the two functions at the same point on the x-axis. At point x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0).

Similarly, at point x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3).

To compare which of two functions is larger at any given point, we need to compare the heights of the two functions at the same point on the x-axis. For example, at x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0). The same comparison can be made at any other point on the x-axis.

For example, at x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3). This comparison can be done for any point on the x-axis, which will allow us to determine which of the two functions is larger at any given point.

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18) In the adjoining figure, ABCD is a parallelogram in which DE _|_ AB and DF _|_BC, If AB=6 cm, BC=4.5 cm, DE=3 cm, find the length of DF.

Answers

The solution is, EF = 4√3

What is area of a rectangle?

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

here, we have,

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

A = 48 cm^2

The area of the triangle is 1/4 of this. Therefore:

A = 12 cm^2

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

12 = 1/2 * DF *DE

Since DE = DF:

24 = DF^2

Thus:

DF = 2√6 = DE

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

DF^2 + DE^2 = EF^2

Therefore:

now, Squaring & Adding , we get,

FE^2 = 48

And finally, we can take the square root of both sides:

EF = 4√3

Hence, The solution is, EF = 4√3

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Q1) Find unknown value of the following in lowest term
a) 16: 20 =

Answers

Step-by-step explanation:

college level question ???? what the ...

oh my.

16 : 20 = 16 / 20 = 16 ÷ 20

16/20 = 4/5 = 0.8

Independent practice 5.how many 1 • 1/6

Answers

1 times 1/6 is one sixth because there is only one of the value, making it equivalent to itself

what is the area model for 1778/7 -

Answers

It should be noted that the area model method is based on the simple equation that is used to find the area of a rectangle:

the length times the width equals the total area (LxW=A).

What is an area?

The area of a shape simply means the total space that is taken by the shape. It simply expresses the extent of the region on a particular plane as well as a curved surface.

For example, the area of a rectangle with the length of 48 units and a width of 21 units can be measured by multiplying 48 by 21. This will be 1008 units².

A overview was given as your information is incomplete

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Amelia's investment of $9810 earns
interest at 2.7% per year
compounded quarterly over 13 years.
What is the amount of interest
earned?
Write your answer to the nearest cent.
Interest =

Answers

Answer:

Step-by-step explanation:

To calculate the amount of interest earned by Amelia's investment, we can use the formula for compound interest:

A = P * (1 + r/n)^(nt), where

A = amount after t years

P = principal amount ($9810)

r = annual interest rate (2.7%)

n = number of times the interest is compounded per year (quarterly, so n = 4)

t = number of years (13)

Plugging in the values, we get:

A = $9810 * (1 + (0.027/4))^(4 * 13)

A = $9810 * (1.00675)^52

A = $9810 * 1.8972436

A = $18561.61 (rounded to nearest cent)

Therefore, the interest earned by Amelia's investment is $18561.61 - $9810 = $8751.61.

(25-a)/7=3

Please help me with this question I know it seems easy but still.

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the answer is 4. you have to multiply both sides by 7 to cancel out the 7 on the left side: 25-a= 21. then you must subtract 25 from both sides: -a=-4. lastly, divide both sides by negative one so a is positive: a=4. then you can check ur work (25-4)/7=3

Answer:

a= 4

Step-by-step explanation:

Rearrange terms

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Multiply the numbers

than subastraract form both by 25

Simplify the expression

Subtract the numbers

You will find the solution

hannah's school hosted a book donation. there are 150150150 students at her school, and they donated a total of bbb books! hannah donated 333 times as

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The formula to calculate the number of books donated by Hannah would be: bbb/150150150 = 333.

Essentially, we are taking the total number of books that were donated, bbb, and dividing it by the total number of students at Hannah's school, 150150150. The result of this equation is 333, which represents the number of books Hannah donated. To calculate this number we would first divide bbb by 150150150. Then, we would multiply the result by 333 to get the total number of books Hannah donated. For example, if the total number of books donated was 300,000, the number of books Hannah donated would be 49,950. This can be calculated by dividing 300,000 by 150150150 and then multiplying the result by 333.

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2/3 x −1/5 x = x − 1

Answers

Answer:

Exact Form:

x=15/8

Decimal Form:

x=1.875

Mixed Number Form:

x=1 7/8

Step-by-step explanation:

NO LINKS!!! URGENT HELP PLEASE!!!! NO MULTIPLE-CHOICE!!!!!!

1. Find the maximum area for a rectangle perimeter of 120 meters. Make your answer convincing by including these things:

a. Sketches of rectangles with a perimeter of 120 meters (Include rectangles that do not have the maximum area and the rectangle you think does have the maximum area.)

b. A table of lengths and areas for rectangles with a perimeter of 120 meters (Use increments of 5 meters for the lengths.)

c. A graph of the relationship between length and area.

Explain how each piece of evidence supports your answer.

Answers

The maximum area is 900 square meters

How to determine the maximum area

Given that

Perimeter, P = 120

So, we have

P = 2(l + w) = 120

This gives

l + w = 60

Make l the subject

l = 60 - w

The area is

A = lw

So, we have

A =w(60 - w)

Expand

A = 60w - w^2

Differentiate and set to 0

60 - 2w = 0

So, we have

w = 30

Recall that

A =w(60 - w)

So, we have

A = 30(60 - 30)

Evaluate

A = 900

The sketch of the rectangle

See attachment

Table of lengths and areas of rectangles

This is represented as follows

Length (l) | Width (w) | Area (A)

30 | 30 | 900

35 | 25 | 875

40 | 20 | 800

45 | 15 | 675

50 | 10 | 500

55 | 5 | 275

The graph of the relationship

See attachment

A salesperson earned a commission of $806.59 last week on gross sales of $5880 . If returns and allowances were 11.5% of gross sales, what is his rate of commission based on net sales?

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A salesperson earned a commission of
$806.59
last week on gross sales of
$5880
. If returns and allowances were 11.5% of gross sales, what is his rate of commission based on net sales?