Gabrielle's age is two times Mikhail's age. The sum of their ages is 15. What is Mikhail's age?

Annual Yield refers to the return on investment received by a stockholder for a specified period of time expressed as a percentage of the investment.

The dividend yield is used to calculate the annual yield. It is a stock's yearly dividend payments divided by its price per share. divide the annual dividend payment per share by the share price.For the given question, the following calculations can be performed:Shares of stock in Ergar Appliances purchased = 258Commission charged = $1,340.75List price of Ergar Appliances = $73.96Dividend paid per share = $11.45Total cost of purchasing 258 shares of stock = 258 × 73.96 = $19,095.68

Total dividend received = 258 × 11.45 = $2,954.10Net cost of purchasing stock = 19,095.68 + 1,340.75 = $20,436.43Yield = Total Dividend/Net cost of purchasing stockYield = 2954.1/20436.43Yield = 0.1446 ;The annual yield is 0.1446 which rounds to 0.1548 (rounded to 4 decimal places).

To know more about period visit :-

https://brainly.com/question/11131191

#SPJ11

The equation of the line in point-slope form is y + 3 = (1/2)(x - 6), and in slope-intercept form is y = (1/2)x - 6.

To write the equation of a line in point-slope form and slope-intercept form given a point (6, -3) and a slope of 1/2:

1. Point-Slope Form:

The point-slope form of a linear equation is given by: \(y - y_1 = m(x - x_1)\), where (\(x_1, y_1\)) is a point on the line and m is the slope.

Substituting the values into the equation:

y - (-3) = 1/2(x - 6)

y + 3 = 1/2(x - 6)

2. Slope-Intercept Form:

The slope-intercept form of a linear equation is given by: y = mx + b, where m is the slope and b is the y-intercept.

Using the given slope (1/2) and the point (6, -3), we can solve for the y-intercept (b).

-3 = (1/2)(6) + b

-3 = 3 + b

b = -6

The equation in slope-intercept form is:

y = 1/2x - 6

To know more about point-slope form, refer here:

https://brainly.com/question/29503162

#SPJ4

Answer:

b<-7

Step-by-step explanation:

3b+3<-18

subtract 3 on both sides

3b<-21

divide 3 on both sides

b<-7

Answer:

n = 8

Step-by-step explanation:

to solve this equation you must first isolate the variable

that is n

so first

add 2n to both sides to get rid of n on one of the sides

-4n + 2n + 14 = -2 - 2n + 2n

-2n + 14 = -2

now subtract 14 to both sides to isolate n

-2n + 14 - 14 = -2 - 14

-2n = -16

now divide everything by -2 to isolate n completely

(-2n)/(-2) = (-16)/(-2)

n = 8

that is your answer

Answer:

\(\boxed{\sf n=8}\)

Step-by-step explanation:

\(\sf -4n+14=-2-2n\)

Subtract 14 from both sides:-

\(\sf -4n+14-14=-2-2n-14\)

Simplify:-

\(\sf -4n=-2n-16\)

Add 2n to both sides:-

\(\sf -4n+2n=-2n-16+2n\)

Simplify:-

\(\sf -2n=-16\)

Divide both sides by -2:-

\(\sf \cfrac{-2n}{-2}=\cfrac{-16}{-2}\)

Simplify:-

\(\sf n=8\)

____________________

Hope this helps!

Have a great day!

Answer:

$3,792

Step-by-step explanation:

$316 x 12

Answer:

Step-by-step explanation:

I'm pretty

a. Let's check whether the given pairs are in the relation S or not.

Is 2 S 2?

To check if (2, 2) is in S, we need to evaluate the expression:

(1/2) - (1/2) = 1/2 - 1/2 = 0

Since 0 is an integer, (2, 2) is in S.

Is -1 S -1?

To check if (-1, -1) is in S, we need to evaluate the expression:

(1/-1) - (1/-1) = -1 - (-1) = 0

Since 0 is an integer, (-1, -1) is in S.

Is (3, 3) ∈ S?

To check if (3, 3) is in S, we need to evaluate the expression:

(1/3) - (1/3) = 1/3 - 1/3 = 0

Since 0 is an integer, (3, 3) is in S.

Is (3, -3) ∈ S?

To check if (3, -3) is in S, we need to evaluate the expression:

(1/3) - (1/-3) = 1/3 + 1/3 = 2/3

2/3 is not an integer, so (3, -3) is not in S.

b. Set of ordered pairs S:

S = {(x, y) | (1/x) - (1/y) is an integer}

S = {(2, 2), (-1, -1), (3, 3)}

c. Domain and Co-domain of S:

Domain of S: The set of all first components (x-values) of the ordered pairs in S.

Domain of S = {-3, -2, -1, 1, 2, 3}

Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.

Co-domain of S = {-3, -2, -1, 1, 2, 3}

d. Arrow diagram for S:

Domain (C): {-3, -2, -1, 1, 2, 3}

Co-domain (D): {-3, -2, -1, 1, 2, 3}

(2, 2) -----> (0)  // 0 represents an integer

(-1, -1) -----> (0)

(3, 3) -----> (0)

(3, -3) -----> (2/3)  // 2/3 is not an integer

Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.

To know more about integer here

https://brainly.com/question/929808

#SPJ2

The statement "I estimate that the probability of my getting married in the next 3 years is 0.7" does make sense.

As individuals, we can make personal estimates or predictions about events that are relevant to our lives, such as the probability of getting married in a certain timeframe. These estimates are based on our own subjective beliefs, experiences, and expectations. While they may not be based on precise mathematical calculations or rigorous statistical analysis, they can still reflect our personal opinions or perceptions.

In this case, the person is providing an estimate that they believe there is a 0.7 (or 70%) probability of getting married within the next 3 years. This estimate is a subjective assessment of their own chances based on various factors such as their current relationship status, personal goals, or cultural norms.

It is important to note that personal estimates like this are not necessarily based on concrete evidence or universally applicable probabilities. They can vary greatly from person to person and are subjective in nature. However, they can still hold personal meaning and influence one's decision-making or expectations regarding future events.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

Read more on right prism here: https://brainly.com/question/31245490

#SPJ1

Sanchez made more money by 3.93$

Answer:

D

answer id D: F and C

Step-by-step explanation:

when we reflect across the x axis, x stays the same and y changes sign

Answer:

2012 km squared

Step-by-step explanation:

2600(.95)^5

if its going down by 5 percent, we minus 5 from 100 and put it in decimal form. any decimal lower than 1.00 will result in a lower number. for 5 years, we place 5 as an exponent

uh sorry if that doesn't make a lot of sense

Answer:

the average weight of the students in Class A is 25.92 kg.

Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

25%

Step-by-step explanation:

Because the thing is divided in to fourths the is 1/4 chance of getting any of those four numbers. Also 1/4 as a percentage is 25%

Answer:

its 89 I hope that help u a lot

Answer:

Step-by-step explanation:

The three steps are

Correct solution should be:

This would give next steps:

Answer options:

Step 1, all the exponents are increased by 4

Step 2, the exponents of the same base are added during multiplication

Step 3 wasn't performed yet, there was step 1 and 2.

Answer:

It would be number 3.

Step-by-step explanation:

Answer:

DF = 2

Step-by-step explanation:

Formula for degree of freedom is;

DF = n - 1

Where n is sample size

In this question, political party affiliation could be Republican, Democrat, or Other. Thus, sample size is 3.

DF = 3 - 1

DF = 2

Thus, degree of freedom value would be 2

The probability of making a Type I error at least once in these four hypothesis tests is 0.19. Thus, the right answer is a) 0.95; 0.81; 0.19.

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The type of data used and the purpose of the study will determine the methodology the analyst uses.

Using sample data, hypothesis testing is done to determine whether a claim is plausible.

If your p level is 0.05, the probability that you will not make a Type I error when performing a single hypothesis test is 0.95.

However, if you perform four hypothesis tests, then the probability of not making a Type I error is 0.95^4 = 0.81, which means that the probability of making a Type I error at least once in these four hypothesis tests is

1 - 0.81 = 0.19.

So the correct answer is (a) 0.95; 0.81; 0.19.

Learn more about "hypothesis test": https://brainly.com/question/4232174

#SPJ11

Answer:

-7/10

Step-by-step explanation:

1/2 = 5/10

1 1/5 = 6/5 = 12/10

5/10-12/10 = -7/10

7/10

im so smart so thats it right there im soooo good at math and stuff

Answer:

y = \(\frac{1}{5}\)x - \(\frac{8}{5}\)

(hopefully this is correct! have a nice day :DD )

Step-by-step explanation:

First we need to get the equation into y=mx+b form

(given) -2y - 10x = -9

(add 9 & 2y to both sides) 9 - 10x = 2y

(flipping it) 2y = -10x + 9

(dividing both sides by 2) y = -5x + 4.5 (or 4 1/2)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Perpendicular lines have opposite sign reciprocal slopes, so the equation so far is:

y = \(\frac{1}{5}\)x + b

To find our b (y-axis intercept) we will plug in the points given

(equation) y = \(\frac{1}{5}\)x + b

(plug-in) -2 = \(\frac{1}{5}\)(-2) + b

(multiply) -2 = -\(\frac{2}{5}\) + b

(add 2/5 to both sides) -\(\frac{8}{5}\) = b

(answer) b = -\(\frac{8}{5}\)

(plug-in b) y = \(\frac{1}{5}\)x - \(\frac{8}{5}\)

Answer:

a=4 B i think is =20 c im not sure

Step-by-step explanation:

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Thus the value of PB is 8.0 units.

A given shape that is bounded by three sides and has got three internal angles is referred to as a triangle. Types of triangles include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the internal angles of any triangle is \(180^{o}\).

In the given question, point P is center of the given triangle such that <APB = <APC = <BPC = \(120^{o}\). Such that line PB bisects <ABC into two equal measures of \(30^{o}\).

Thus;

<ABP = \(30^{o}\)

Thus,

<ABP + <APB + <BAP = \(180^{o}\)

30 + 120 + <BAP = \(180^{o}\)

<BAP = \(180^{o}\) - 150

<BAP = \(30^{o}\)

Apply the Sine rule to determine the value of PB, such that;

\(\frac{a}{SinA}\) = \(\frac{b}{SinB}\)

\(\frac{8}{Sin 30}\) = \(\frac{PB}{Sin 30}\)

BP = \(\frac{8*Sin 30}{Sin 30}\)

    = 8

BP = 8.0

Therefore, the value of PB = 8 units.

For more clarifications on Sine rule, visit: https://brainly.com/question/27174058

#SPJ1

The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].

Part I: Effective cost per hour per employee

To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.

Base hourly wage: $12.30 per hour

Number of working hours per day: 8 (1 shift)

Number of holidays: 5

Number of vacation days: 7

First, let's calculate the total fringe benefits per hour:

Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551

Next, let's calculate the paid time off per hour:

Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours

Now, let's calculate the effective cost per hour per employee:

Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)

Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)

Part II: Reduction in labor cost

To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.

Number of working hours needed every year: 306,050

Productivity increase from 70% to 85%: 85% - 70% = 15%

First, let's calculate the initial number of workers needed:

Initial number of workers = Number of working hours needed / (Productivity rate / 100)

Initial number of workers = 306,050 / (70 / 100)

Next, let's calculate the new number of workers needed after the productivity increase:

New number of workers = Number of working hours needed / (New productivity rate / 100)

New number of workers = 306,050 / (85 / 100)

Finally, let's calculate the total dollar change in labor expense:

Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year

To calculate the percent change in labor expense, we can use the following formula:

Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100

Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.

Learn more about productivity here

https://brainly.com/question/30530087

#SPJ11

The number of athletes that finished the race this year was 4284 athletes.

An equation is an expression that can be used to show the relationship between variables and numbers.

Let x represent the amount of athletes that finished the race this year.

Last year, 3,570 athletes finished the Silvergrove Marathon. This year, the number of runners crossing the finish line was 20% higher. Hence:

x = 3570 + 20% of (3570)

x = 3570 + (0.2 * 3570)

x = 4284

4284 athletes finished the race.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

486 feet squared

Step-by-step explanation:

Answer:

Starbucks

Step-by-step explanation: