Using the table below, determine how much you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares.

Answer:

Part A -   Option B   $382.50

Part B -   11 years

Step-by-step explanation:

The formula for simple interest is

[tex]A=P(1+rt)[/tex]

[tex]A[/tex] is the final amount

[tex]P[/tex] is the initial amount

[tex]r[/tex] is the interest rate as a decimal

[tex]t[/tex] is the time

We are given

[tex]P=3000\\r=0.0425[/tex]

Part A

To evaluate the amount of interest we need to use this equation

[tex]I=Prt[/tex]

[tex]I=3000*0.0425*3[/tex]

[tex]I=382.5[/tex]

Part B

We can start with this equation, but we need to solve for [tex]t[/tex].

[tex]A=P(1+rt)[/tex]

Lets solve for [tex]t[/tex].

Divide both sides of the equation by [tex]P[/tex].

[tex]\frac{A}{P} =1+rt[/tex]

Subtract 1 from both sides of the equation.

[tex]\frac{A}{P}-1 =rt[/tex]

Divide both sides of the equation by [tex]r[/tex].

[tex]\frac{\frac{A}{P}}{r}-\frac{1}{r}=t[/tex]

Simplify the first term by multiplying the numerator by the reciprocal of the denominator.

[tex]\frac{A}{Pr} -\frac{1}{r}=t[/tex]

[tex]t=\frac{A}{Pr} -\frac{1}{r}[/tex]

Now we have an equation for time.

Substituting our values into the equation gives us

[tex]t=\frac{4402.50}{3000*0.0425} -\frac{1}{0.0425}[/tex]

[tex]t=11[/tex]

In the ΔWXY, with the incenter of the triangle being Z.

1. The measure of m∠WYZ = 43°.

2. The measure of m∠WXY = 66°.

3. The measure of m∠YWX = 28°.

4. The measure of m∠ZWX = 14°.

What is an incenter?

The intersection of the triangle's three interior angle bisectors forms the triangle's incenter. Due to the junction point of the central axis being the centre of the triangle's inscribed circle, this point is equally spaced from the sides of a triangle.

In ΔWXY, the incenter of the triangle is Z.

This means that ∠W, ∠Y and ∠X are equally bisected angles.

It is given that the measurement of ∠WYX = 86° and ∠WXZ = 33°

1. The measure of angle ∠WYZ.

The angle ∠WYX is bisected by the line segment YZ.

It forms two angles ∠WYZ and ∠XYZ.

So, the measurement of ∠WYZ = ∠WYX/2

∠WYZ = 86°/2

∠WYZ = 43°

Therefore, the measurement of ∠WYZ = 43°.

2. The measure of angle ∠WXY.

The angle ∠WXY is bisected by the line segment XZ.

It forms two angles ∠WXZ and ∠ZXY.

The measurement of angle ∠WXZ = 33°.

So,  the measurement of ∠WXY = ∠WXZ × 2

∠WXY = 33° × 2

∠WXY = 66°

Therefore, the measurement of ∠WXY = 66°.

3. The measure of angle ∠YWX.

According to the properties of the triangle, the sum of three angles of triangle is 180°.

So, the equation will be -

∠YWX + ∠WXY + ∠XYW = 180°

∠YWX + 66° + 86° = 180°

∠YWX + 152° = 180°

∠YWX = 180° - 152°

∠YWX = 28°

Therefore, the measurement of ∠YWX = 28°.

4. The measure of angle ∠ZWX.

The angle ∠YWX is bisected by the line segment WZ.

It forms two angles ∠YWZ and ∠ZWX.

So, the measurement of ∠ZWX = ∠YWX/2

∠ZWX = 28°/2

∠ZWX = 14°

Therefore, the measurement of ∠ZWX = 14°.

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This problem can be solved using a system of equations.

What is the system of equations?

A set or group of equations that are solved collectively is referred to as a system of equations. Both algebraic and graphical solutions are possible for these equations. The point of intersection of two lines represents the system of equations' solution.

Line 1

Taking two points on this line (0,300) and (4,450)

Equation of line y = mx+c

m = [tex]\frac{450 - 300}{4 - 0}[/tex] = 37.5

y = 37.5x + c

Substituting (0,300) in the above equation

300 = 37.5 * 0 + c

c = 300

Line equation y = 37.5x + 300

Line 2

Taking two points on this line (0,400) and (5,500)

m = [tex]\frac{500 - 400}{5 - 0}[/tex] = 20

y = 20x + c

Substituting (0,400) in the above equation

400 = 250* 0 + c

c = 400

Line equation y = 20x + 400

a) The solution of the system is when both lines coincide

     37.5 x + 300 = 20x + 400

     17.5 x = 100

           x = 5.7

            y = 20 * 5.7 + 400 = 514

Therefore the solution of the system is ( 5.7 , 514)

b) In terms of saving money scenario. This means that Dave and Joe have the same amount of savings at this point.

Therefore these are the solutions to the above system of equations.

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If the acceleration of the object becomes 9m/s², the force will be 24N

From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:

y = k/x

y = force.

x = acceleration

k = constant of proportionality.

k = 36 × 6

k = 216

If the acceleration of the object becomes 9m/s², the force will be:

= 216 / 9

= 24

The force is 24N.

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Answer:

The first one, x+3<16

Step-by-step explanation:

The first one is correct. X represents your friend. In three years, your friend will still not be able to get a license.

Thus, your friend now + three years is STILL LESS THAN SIXTEEN.

X + 3 < 16

That is what that conveys.

The balance (future value) on the card after 1 year if interest is calculated:

1. Annually: $124.00

2. Every 6 months: $125.44

3. Every 3 months: $126.25.

The future value represents the present value compounded at an interest rate into the future, using the principle of the time value of money.

The future value can be computed using an online finance calculator.

1. Interest Calculation Annually:

N (# of periods) = 1 year

I/Y (Interest per year) = 24%

PV (Present Value) = $100

PMT (Periodic Payment) = $0

Results:

FV (Account Balance) = $124.00

Total Interest = $24.00

2. Interest Calculation Every 6 months:

N (# of periods) = 2 semi periods (1 year x 2)

I/Y (Interest per year) = 24%

PV (Present Value) = $100

PMT (Periodic Payment) = $0

Results:

FV (Account Balance) = $125.44

Total Interest = $25.44

3. Interest Calculation Every 3 months:

N (# of periods) = 4 quarters (1 year x 4)

I/Y (Interest per year) = 24%

PV (Present Value) = $100

PMT (Periodic Payment) = $0

Results:

FV (Account Balance) = $126.25

Total Interest = $26.25

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The solution to the equation is (3/5, 12/5)

From the question, we have the following parameters that can be used in our computation:

y = 4x

y = -x + 3

substitute the known values in the above equation, so, we have the following representation

4x = -x + 3

Evaluate the like terms

5x = 3

So, we have

x = 3/5

This gives

y = 4 * 3/5

Evaluate

y = 12/5

Hence, the solution is (3/5, 12/5)

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1) Orders between 186 and 187 is zero

2) Common order weight is 183.8.

3) Average is 183.6625

A dot plot is defined as a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item shows in a data set. Dot plots simply show the distribution of the data.

A manufacturing company is shipping a certain number of orders that need to weigh between 184 and 184 pounds in order to ship.

Data is given below;

Arranged in ascending order this would be

183.2, 183.2, 183.3, 183.3, 183.7, 183.7, 183.8, 183.8, 183.8, 183.8, 183.8, 183.8, 183.8, 183.8, 183.9, 183.9

Min is 183.2 and max is 183.9

1) Orders between 186 and 187 is nil

2) Common order weight is one which is maximum repeated and in this case, the common order weight is 183.8.

3) Average = sum/16

Average = 183.2 + 183.2 + 183.3 + 183.3 + 183.7 + 183.7 + 183.8 + 183.8 + 183.8 +  183.8 + 183.8 + 183.8 + 183.8 + 183.8 + 183.9 + 183.9

Average = 2,938.6/16

Average = 183.6625

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Answer:

Step-by-step explanation:

Using the number line below, where RS=6y+3, ST=4y+8, and RT=61, the value of y was found to be 4.

An area of a line that can connect two points is known as a line segment. A and B, the ends of this line segment, both have fixed lengths. The separation between endpoints A and B is the length of this line segment. An area or portion of a line with two endpoints is known as a line segment. A line segment has a set length as opposed to a line. Both metric measurements, such as millimeters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment. The length of one line segment in comparison to the other when there are two can be determined just by glancing at them. The line segment CD is longer than AB, as can be seen.

given

ST = 2y + 9 RS = 7y + 3

RT = 14y - 8

S lies between R and T, hence we can deduce that:

RS plus ST = RT

Therefore, we can swap out the equations for each of the segments above to obtain:

We can now solve this for y; to do so, let's move all the phrases that begin with y to the left.

14y -7y - 2y = 3 + 9 + 8\s(14 - 7 - 2) (14 - 7 - 2)

*y = 20

5*y = 20

y = 20/5 = 4\

y = 4

The value of y was determined to be 4.

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Using the concept of statistics, We are aware about population, sample and data, Variations refers to different forms of same thing.

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves using mathematical and computational methods to describe, understand, and make inferences about data sets, and to make predictions and decisions based on that data. Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves using mathematical and computational methods to describe, understand, and make inferences about data sets, and to make predictions and decisions based on that data.

In statistics, a population is the entire group of individuals or objects that have some common characteristic or that we are interested in studying. For example, the population of a country would be all its citizens, or the population of a certain species of animal would be all the individuals of that species. A sample is a smaller group of individuals or objects selected from the population in order to study or make inferences about the population as a whole.

Variation refers to the degree to which data points in a set differ from one another. In statistics, variation is used to describe the spread or dispersion of a set of data, and is an important aspect of describing and understanding the data. Variation can be measured using different statistical measures such as range, variance, and standard deviation.

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Answer:

18 dollars

Step-by-step explanation:

The easiest way of calculating discount is, in this case, to multiply the normal price $20 by 10 then divide it by one hundred. So, the discount is equal to $2. To calculate the sales price, simply deduct the discount of $2 from the original price $20 then get $18 as the sales price.

Answer:

x = bottles

y = pail

So, originally the pail had 3.68L from the finished bottle

x+3.68L=y

Then the second equation is after Bill spills 1.2L from the pail, the contents are 3 times that of the bottle

y-1.2L=3x

then played first

so

x-y = -3.68

-3x+y= 1,2

__________+

-2x= -2.48

x=1.24L

So the volume of the bottle is 1.24 L

Pail volume: 1.24+3.68= 4.92L

Answer:A number is divisible by 2 if it ends in 2, 4, 6, 8 or 0. A number is divisible by 5 if it ends in 5 or 0. A number is divisible by 10 if it ends in a 0.Apr 8, 2018

The amount of snow that falls from time t = 0 to time t = 5 hours is 20(1-e^(-0.5)) inches.

What is integration ?

Integration is the process of finding an antiderivative of a function. An antiderivative of a function is a function whose derivative is equal to the original function. In other words, integration is the reverse process of differentiation. The process of integration can be thought of as the summing of an infinite number of infinitesimal "slices" of the function being integrated, over a given interval. The symbol ∫ is used to denote integration.

The amount of snow that falls between time t = 0 and time t = 5 hours can be found by evaluating the definite integral of the rate of snowfall with respect to time over the interval [0, 5].

∫[0,5] 2e^(-0.1t) dt

The antiderivative of 2e^(-0.1t) with respect to t is -20e^(-0.1t)

Therefore, the definite integral is

-20e^(-0.15) - (-20e^(-0.10))

= -20e^(-0.5) + 20 = 20(1-e^(-0.5))

Therefore, the amount of snow that falls from time t = 0 to time t = 5 hours is 20(1-e^(-0.5)) inches.

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Therefore, using an algebraic method, c = 1/12 in the equation |3/2c - 10| - 9 - 1 is the value of c.

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.

given

|3/2c - 10| - 9 ≤ - 1

3/2c-10 -9 = -1

3/2c - 19 = -1

3/2c = 18

36c = 3

c = 1/12

Therefore, using an algebraic method, c = 1/12 in the equation |3/2c - 10| - 9 - 1 is the value of c.

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It is surprising to some extent when the probability of getting  pre-1982 copper pennies is 6.6 and you get 11 pre-1982 copper pennies.

As with "point" and "time," which we can't exactly define, the concept of "the probability of something" is one of those concepts that is still useful. The ideas in the paragraphs that follow should help you grasp the idea.

Typically, events are the "somethings" for which we consider the probabilities. We might discuss the likelihood that someone in a particular group will develop a specific disease within the next five years, the probability that the number on a die we rolled is 5, the likelihood that it will rain tomorrow, etc.

The pre-1982 copper pennies are 13.2%

That is for every 100 pennies randomly selected there will 13.2  pre-1982 copper pennies,

And for 50 pennies there will be 13.2/2 pre-1982 copper pennies

= 6.6

So the probability of getting a pre-1982 copper pennies from random 50 pennies are 6.6.

Therefore, it is surprising to some extent when the probability of getting  pre-1982 copper pennies is 6.6 and you get 11 pre-1982 copper pennies.

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The truth of the table here is r → (р ∨ q). Option b

For rows A and E, we must now choose which of the following statements is true:

We must utilize the P -> Q table shown in the figure to ascertain that.

We are aware that only P -> Q will be true if both of P and Q's hypotheses are true. As a result of utilizing that method, we can see that the final solutions only include the transformations q->r and r->q.

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Answer: $8

Step-by-step explanation:

one adult ticket costs twice as much as one student ticket so

cost of 1 student ticket=x

cost of one adult ticket=2x

total money made=1040

adults+students=1040 so

64(2x)+132(x)=1040

128x+132x=1040

260x=1040

divide both sides by 260

x=4

1 student ticket=$4

1 adult ticket=2x=2(4)=$8

Ike- I went geek sorry..

In a coordinate plane, a transformation is a function that maps pre-image points (inputs) to image points (outputs).

In (x,y) → (-y,x)

In (x,y) → (x + 4, y - 2)

In(x,y) → (x,-y)

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the value of cot∅ will be -2√2.

What is trigonometric function?

Trigonometry uses six fundamental trigonometric operations. Trigonometric ratios describe these operations. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Using trigonometric formulas, the sine, cosine, tangent, secant, and cotangent values are calculated for the perpendicular side, hypotenuse, and base of a right triangle.

Given csc∅ = 3

This is given in 2nd qudrant (90° < 0 <180°).

Sin∅ = 1/3

cos∅ = √1-(1/3)² = -√ (8/9)

cot∅ = cos∅/Sin∅ = -2√2

Hence the value of cot∅ will be -2√2.

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Answer:

7/28 = 1/4

This is because:

7/28 = 0.25

0.25 = 1/4

Step-by-step explanation:

Hope it helps! =D

Answer:

a) 7

Step-by-step explanation:

Given problem,

→ [ ] ÷ 28 = 1/4

Let us assume that,

→ missing number = x

Forming the equation,

→ x ÷ 28 = 1/4

→ x = (1/4) × 28

→ x = 28/4

→ [ x = 7 ]

Hence, the answer is 7.

On solving the provided question we can say that - The answer to the question is that all real numbers or domain (−∞,∞)

The range of values that may be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set. Let y = f(x) be a function where x and y are the independent and dependent variables. If a function f offers a means of successfully generating a single value y while employing a value for x to that end, then the selected x-value is said to belong to the domain of f.

The answer to the question is that all real numbers or (−∞,∞)

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On solving the provided question, we can say that Area of rectangular bedroom = 12 X 3.6 = 43.2 cm sq.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

here,

dimension of rectangular bedroom

L = 12

W = 3.6

Area of rectangular bedroom = 12 X 3.6 = 43.2 cm sq.

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The radius of the cylinder with a combined volume of 1000 cubic inches is 2.4 inch

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

Let r represent the radius of the cylinder/cone.

For the cylinder:

Volume = π * radius² * height

but height is twice the radius, height = 2r, hence:

Volume = π * r² * 2r = 2πr³

For the cube:

Volume = side³

but side is four times the radius, side = 4r, hence:

Volume = (4r)³ = 64r³

The combined volume of a cube and a cylinder is 1000 cubic inches, hence:

1000 = 2πr³ +  64r³

r³(2π + 64) = 1000

r³ = 1000/(2π + 64)

r³ = 14.228

r = 2.4 inch

The radius is 2.4 inch

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Answer:

It looks correct.

Step-by-step explanation:

The other answer choices don't make sense.

Answer:

Step-by-step explanation:

The amount in dollars is represented by d, and the amount of months is represented by the letter t. Using this, you can construct an equation using the given values in the form of f(x) = a - b(c). This equation represents the decrease in Malik's income after one month.

Hope this helps! :)

Answer:

Step-by-step explanation:

When the digit in the thousands place is < 5, the thousandths place and following digits are replace by 0.

2. When the digit in the thousands place is = or > 5, the digit in the hundredths places is increased by 1 and the following digits become 0.

The line y=—x-2 can be seen on the right-hand graph. the expression for m=273. A slope intercept form is one that offers both a gradient and an intercept.

The slope intercept format can be used once you are aware that Y = mx + b. The point-slope form is a way to express an equation for a line by utilizing just a specific point just on line and its slope. You can use the slope intercept equation, y = mx + b, to get the slope, which is defined as the rise over run and represented by the point form (x,y) (0, b). The point-slope form is a way to expression an equation for a line by utilizing just a specific point on the linear and its slope.

Here,

Given:

The line y = 3x - 1 undergoes dilation with such a scale factor of 2.

The lines y = 3x is enlarged and centered by a factor of two (scaling factor).

The chart on the right displays the equation m=273 and the line y=—x-2.

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The tree's shadow at the same time of day was 113.29 foot long.

Foot, plural feet, any of numerous ancient, mediaeval, and modern linear measures (typically 25 to 34 cm) based on the length of the human foot and used only in English-speaking nations, where it typically consists of 12 inches or one-third yard.

The metre, the fundamental linear unit in the metric system, has largely replaced the foot, with its multiples and subdivisions, in most nations and in all scientific applications. In the United States, the definition of a foot as exactly 30.48 cm went into effect in 1959.

We know that

1 feet = 12 inches

So, 5 feet 8 inches = 5[tex]\frac{2}{3}[/tex] feet

Now, lets find the shadow of tree

5[tex]\frac{2}{3}[/tex]/2 = 321/x

x = 113[tex]\frac{5}{11}[/tex]

x = 113.29

Thus, the tree's shadow at the same time of day was 113.29 foot long

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Using Subtraction, Azzata earns $ 10.45 an hour.

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference.

Any subtraction problem has three components: the minuend, which is the part you start with; the subtrahend, which is the part being subtracted; and the difference, which is the part that is left over.

Emily earns $11.15 an hour at the movie theater.

She earns $0.7 more an hour than Azzata

Azzata earns -

⇒ $11.15 - $ 0.7

⇒ $ 10.45

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