I really need help on this because I don't understand how to calculate this. (I need this answered now please!!)


Julia spins 2 spinners. One of the spinners is labeled 1, 2 and 3, and the other is labeled A, B and C. What is the probability that Julia will land on a 1 and an A?


A) 1/6

B)1/3

C)1/2

D)1/9

Answers

Answer 1

Based on the information provided, the probability that Julia will land on a 1 and an A is 1/6 or 0.166.

What is probability?

The probability can be described as the likelihood of an event happening. In most cases, the probability depends on the ratio of the desired event and all possible outcomes. For example in a bag with a total of 6 red balls and 4 black balls the probability of getting a red ball is 6/10.

What is the probability in this case?

To find out the total probability, we need to calculate the two probabilities involved and mutiply them.

Probability spinner 1 lands = 1/3 as there are three spinners

Probability A lands = 1/4 as there are 4 possible outcomes A, B, C, D

1/3 x 1/4 = 1/6

This means the probability of this event happening is 1/6, which can be simplified as 0.166 or 16%.

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Related Questions

Polygon ABCD with
A (0, 4), B (-4, 8), C (3, 3), and D (4, -2), is dilated by a scale factor of ½. Find A’B’.


Explain please!!!

Answers

The length of A'B' after undergoing the dilation is; A'B' = 2√2

How to interpret scale of dilation?

The scale factor in the dilation of an object tells us how much larger or smaller the image will be when compared to the original object. Thus, the coordinates will be multiplied by the scale of dilation to get the new coordinates.

We are given the coordinates of Polygon ABCD as A(0, 4), B(-4, 8), C(3, 3), and D(4, -2). With a scale of dilation of ½, we will have the new coordinates as;

A'(0, 2), B'(-2, 4), C'(1.5, 1.5), and D'(2, -1)

The formula to find the distance between two coordinates is;

Distance = √[(y₂ - y₁)² + (x₂- x₁)²]

Thus;

A'B' = √[(4 - 2)² + (-2 - 0)²]

A'B' = √8

A'B' = 2√2

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y=-6x-7 7x+y=-3 substitution

Answers

By substitution; x = 4 and y = -31

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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A soda company would like to replace the label on a can of soda with a radius of 2 and three fourths cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.

121 over 7 cm
121 over 14 cm
121 over 28 cm
121 over 56 cm

Answers

The length of the label is 121 over 28. (option C)

What is the length of the label?

The length of the label is equivalent to the circumference of the cylinder. The circumference of an object is the distance round the object.

The formula for circumference of a cylinder = 2πr

Where:

π = 22/7

r = 2 3/4 = 11/4

2 x 22/7 x (11/4) = 121/28 cm

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Answer: 121/7

Step-by-step explanation: I got it correct :)

A different customer wants Ellie to spread fertiliser on a lawn.
A shop sells these bags of fertiliser.
Lawn fertiliser 750 grams £2.95
Ellie uses 40 grams of fertiliser for every square metre of lawn.
The area of the lawn is 145 square metres.
She needs to buy enough bags for the whole lawn.
Work out the total cost of the fertiliser Ellie needs.​

Answers

Ellie needs 5050 grams extra fertilizer and total cost of fertilizer = 22.81-pound sterling.

what is multiplication and division?

Multiplication is the product of two or more numerical terms. Division is the process of dividing any numbers into equal parts.

What is the total cost of fertilizer that Ellie needs?

Cost of 750 grams fertilizer = 2.95-pound sterling,

the area of the lawn = 145 square meters.

Ellie uses 40 grams fertilizer for every square meter of lawn.

So, fertilizer needed for the 145 square meters of land = (145 × 40)

                                                                                        = 5800 grams

it stated earlier that 750-gram fertilizer was bought but Ellie needs 5800 grams fertilizer.

the extra amount of fertilizer that Ellie needs = (5800 - 750) = 5050 grams.

cost of 750 gram fertilizer = 2.95-pound sterling

cost of 5050-gram fertilizer = (2.95 × 5050) / 750 = 19.86-pound sterling

cost of extra fertilizer = 19.86-pound sterling.

Total cost of fertilizer = (2.95 + 19.86) pound sterling

                                   = 22.81-pound sterling

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for f(x)=3x-2 and g(x)=x^2+1 find (f+g)(x)

Answers

For the polynomial functions f(x) = 3x - 2 and g(x) = x² + 1, then function (f + g)(x) is calculated to be

x² + 3x - 1

What is a polynomial function?

A polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable in an equation, such as the quadratic equation or the cubic equation.

The equation in the problem has integers as below

f(x) = 3x - 2: integer value here is 1

g(x) = x² + 1 integer value here is 2

In both conditions, the integer values are positive hence both are polynomial functions

(f + g)(x) is addition of the two polynomials

f(x) = 3x - 2 + g(x) = x² + 1

= 3x - 2 + x² + 1

= x² + 3x - 1

hence (f + g)(x) = x² + 3x - 1

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Alicia bought 4 sandwiches and 5 cups of soup, spending $38.50. Adam spent $47.25 to buy 3 sandwiches and 9 cups of soup. Write and solve a system of
equations to find out the cost of each sandwich, 8, and each cup of soup, C.

Answers

On solving the provided question, we can say that the equation that can be formed are  4x+5y=38.50 and 3x+9y=47.25

What is equation?

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

the equation that can be formed are

Sandwiches are $5.25 Bowls are $3.50

4x+5y=38.50

3x+9y=47.25

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i-Ready
Divide by Two-Digit Numbers, Part 2- Quiz - Level E
→Yumi has 6,720 coins to plant apple trees in her village. It costs 21 coins to plant an
apple tree. Find how many apple trees Yumi can plant if she uses all her coins.
Which division equation represents the problem?
21 ÷ 6,720 = ?
21 ? = 6,720
6,72021?
? 216,720

Answers

The answer is 21/6720

5x-y=54 x=10 what is the answer

Answers

Answer:

Y = 4

Step-by-step explanation:

5x-y=54

50-y=54

circle y and subtract 50 from itself then subtract 50 from 54.

after subtracting you should have y=4

(04.05 HC)
An applicant receives a job offer from two different companies.
Offer A is a starting salary of $55,000 and a 5% increase for 5
years. Offer B is a starting salary of $56,000 and an increase of
$2,000 per year.
Part A: Determine whether offer A can be represented by an
arithmetic or geometric series and write the equation for An, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part B: Determine whether offer B can be represented by an
arithmetic or geometric series and write the equation for B, that
represents the total salary received after n years. Justify your
reasoning mathematically. (3 points)
Part C: Which offer will provide a greater total income after 5
years? Show all necessary math work. (4 points)

Answers

On solving the provided question of arithmetic , we can say that after five years, Offer A will offer a higher total income.

What is arithmetic sequence?

Every subsequent pair of terms in an arithmetic sequence has a constant difference. This resembles linear functions with the formula y=mx+b. There is a fixed ratio between every pair of subsequent terms in a geometric sequence. This would produce a constant multiplier effect.

Given that a candidate receives job offers from two different companies, with Offer A offering a starting salary of $ 55,000 and a 5% increase for 5 years and Offer B offering a starting salary of $ 56,000 and an increase of $ 2,000 per year, it is necessary to perform the following calculation to determine which offer will result in a higher total income after 5 years:

Offer A = Arithmetic

55000.r1.055 X

70, 195.48 — x

Offer B = Geometric

56000+ (5a•2000) X

56000+ 10000 = x

66,000 = x

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You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better? Explain your reasoning.

Answers

Answer: yes, you did

Step-by-step explanation:

21 divided by 25 is 0.84

the you times 0.84 with 100 and you would get 84%

Ok so I need help with this

Answers

Answer:

Step-by-step explanation:

1 Wanderer

2 moves on its own orbits the sun

3 Saturn

4 saturn

Factor
2x2 + 7x + 5.

Answers

The solution to the quadratic equation are x = 1 and -5/2

How to determine the value

We have the quadratic function;

2x² + 7x + 5

Using the factorization method of solving quadratic equation. We need to multiply the coefficient of x² and the constant 5.

Then find the pair factors and substitute the values into the function.

Substitute the values, we have;

2x² + 2x + 5x + 5

Factor the expression in pairs

(2x² + 2x) + (5x + 5)

Factor the common terms, we get;

2x(x + 1) + 5( x+ 1)

We have the equations;

2x + 5 = 0

x = -5/2

And

x + 1 = 0

x = -1

Thus, the values are x = -5/2 and -1

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An equation for a tangent to the graph of y = arcsin(x/2) at the origin is: O y=2 O x=2y O y = 4x Ο πx = 2y

Answers

The equation for a tangent to the graph of y = arcsin(x/2) at the origin is y = x.

To find the equation for a tangent to a graph at a certain point, we need to find the slope of the tangent at that point. To do this, we can use the derivative of the function. In this case, the function is y = arcsin(x/2). Using the chain rule, we can find the derivative of this function:

y' = d/dx(arcsin(x/2))

= d/dx(sin^-1(x/2))

= 1/√(1 - (x/2)^2)

Now, to find the slope of the tangent at the origin (0,0), we can plug x = 0 into this derivative:

y'(0) = 1/√(1 - (0/2)^2) = 1

So the slope of the tangent at the origin is 1. To find the equation of the tangent, we can use the point-slope form of a line:

y - y1 = m(x - x1) where,

(x1, y1) is the point at which the tangent touches the graph (in this case, the origin) m is the slope of the tangent.

Plugging in the values for the origin and the slope we found above:

y - 0 = 1(x - 0)

or, y = x

So the equation for the tangent is y = x. But the options are incorrect.

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Which inequality represents this sentence? Six plus two is less than nine plus three. Responses 6+2>9+3 6 addition symbol 2 inequality symbol with narrow side pointing to right and wide side opening to the left 9 addition symbol 3 6+2<9+3 6 addition symbol 2 inequality symbol with narrow side pointing to left and wide side opening to the right 9 addition symbol 3 6+2≤9+3 6 addition symbol 2 inequality or equal to symbol with narrow side pointing to left and wide side opening to the right 9 addition symbol 3 9+3<6+2 9 addition symbol 3 inequality symbol with narrow side pointing to left and wide side opening to the right 6 addition symbol 2

Answers

The inequality that represents this sentence is 6 + 2 < 9 + 3

How to determine the inequality?

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

Six plus two is less than nine plus three

Express as numbers

So, we have

6 plus 2 is less than 9 plus 3

Introduce the operators

6 + 2 < 9 + 3

Hence, the inequality is 6 + 2 < 9 + 3

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Melanie runs 2.6 miles each weekday morning before going to work to prepare for a marathon race. If the race is approximately 26 miles, what percent of the distance does Carol run each week?

A) 10%
B) 20%
C) 40%
D) 50%

I have the right answer, show work please.

Answers

Answer:

D) 50%

Step-by-step explanation:

There are 5 weekdays, Monday through Friday.

In each of the 5 weekdays she runs 2.6 miles.

In a week, she runs 5 × 2.6 miles = 13 miles by running only on weekdays.

Now we need to find out what percent of 26 miles is 13 miles.

percent = part/whole × 100%

percent = 13/26 × 100%

percent = 0.5 × 100%

percent = 50%

Answer: D) 50%

Mr. Sehmi is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr.Sehmi make? Is the number of arrays odd or even ? Explain.

Answers

Hi Bixby can you help me with this Mr. CV is making an area to display 9 pictures for for each pair of different functions there are 2 Irish he can we how many different areas can Mr. Semi make is in the number of a rice old number odd or even

A retailer has some sweaters that cost her$38 each she wants to make a profit of 20% of her cost. What price should she charge for each sweater

Answers

The retailer's selling price per sweater should be $45.60 if she wants to make a profit of 20% of her cost price (markup) of $38.

How is the selling price determined?

The selling price is the marked-up cost.

The markup is the percentage added to the cost price to achieve a target profit percentage.

Cost price per unit = $38

Target profit = 20%

Selling price = $45.60 ($38 x 1.2)

Thus, for the retailer to make a profit of 20% of her cost, she must sell each sweater for $45.60.

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calculate the density of a cube with a mass of 135 grams and a length width and height of 3 cm

Answers

Answer:

ρ= 5 g/cm³

Step-by-step explanation:

density= mass/volume

ρ= m/v

As all  side of the cube is equal so the formula for volume is a³ 3³

which gives us volume 27.

ρ= 135g/27cm³

ρ= 5 g/cm³

Write the equation of the line shown.​

Answers

Answer:

y = 3x

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

The slope = rise/run

Let's pick 2 points (0,0) (2,6), we see that the y increase by 6 and the x increase by 2, so our slope is

m = 6/2 = 3

Y-intercept is when the x = 0, we see that the y-intercept is located at (0,0)

So, our equation is

y = 3x

Write your answer in simplest form.
-\dfrac{3}{2} \div \dfrac{7}{4} = {?}−
2
3

÷
4
7

=?\

Answers

The solution of the equation - (3/2) ÷ (7/4) = x - (2/3) ÷ (4/7) will be 13 / 42.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given as,

- (3/2) ÷ (7/4) = x - (2/3) ÷ (4/7)

Simplify the equation, then we have

- (3/2) x (4/7) = x - (2/3) x (7/4)

- 6/7 = x - 7 / 6

x = 7/6 - 6/7

x = (49 - 36)/42

x = 13 / 42

The solution of the equation - (3/2) ÷ (7/4) = x - (2/3) ÷ (4/7) will be 13 / 42.

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A farmer has 30 boxes of eggs. There are 6 eggs in each box. Write, as a ratio, the number of eggs in three boxes to the total number of eggs Give your answer in its simplest form.​

Answers

Answer:

1:10

Step-by-step explanation:

30 boxes = 180 eggs

3 boxes = 18 eggs

18:180 = 1:10

Which expression is equivalent to

Answers

The equivalent expression to 4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³  

Equivalent expressions:

A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression.

In general, something is considered equal if two of them are the same. Similar to this, similar expressions in mathematics are those that hold true even when they appear to be different.

However, both forms provide the same outcome when the values are entered into the equation.

Here we have  

4y²(6x³ + 4xy + 3y)  

Simplify the given expression as follows

=> 24x³y² + 16xy³ + 12y³  

Therefore,

The equivalent expression to  4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³  

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Denise has $10 and wants to buy pens that cost
$0.80 each. How many pens can Denise buy and
have at least $6 left?

Answers

Answer:

5 pens

Step-by-step explanation:

$10 - 6$ = $4

$4/$0.80

she can afford 5 pens

Help bc it’s due in a couple hours and im nowhere near done

Answers

Answer: -9 1/4

Step-by-step explanation:

Graph the function.


y=−2/3x+2

Answers

The graph of y = -(2/3)x + 2 is shown, having a slope of -2/3 and y intercept of 2

What is an equation?

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

The equation y = -(2/3)x + 2 have a negative slope of -2/3 and y intercept of 2

The graph of y = -(2/3)x + 2 is shown

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What are this graph's amplitude, period, horizontal shift, and equation? Write an equation that represents the curve in the form: y = a cos(k(x - b)) (Show Work!)

Answers

The features of the cosine function are given as follows:

Amplitude: 1/3.Period: π.Horizontal shift: π/3.

The equation of the cosine function is given as follows:

y = 1/3cos(2(x - π/3)).

How to define the cosine function?

The cosine function is defined as follows:

g(x) = acos(b((x+c))+d.

The coefficients have these following roles:

a: amplitude.b: The period is of 2π/B.c: phase shift.d: vertical shift.

The function oscillates between -1/3 and 1/3, hence the amplitude is of:

a = 1/3.

The period is of 2π/3 - (-π/3) = π, hence:

2π/B = π.

B = 2.

The horizontal shift is of -π/3, hence the equation is given as follows:

y = 1/3cos(2(x - π/3)).

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Simplify the product. 8x(x-5/4x)

Answers

The product of the expression is 8x²-10x

What are expressions?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given that, an expression 8x(x-5/4x) we are asked to find its product,

8x(x-5/4x)

= 8x²-10x

Hence, the product of the expression is 8x²-10x

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mark has 5 quarters 25 dimes and 20 nickels in his coin box. he randomly takes out a coin and replaces it and randomly takes out another what is the probability that he picked a dime and a nickel

Answers

When he replaces a coin that was taken out randomly, there is a 50% chance that he chose a dime and a nickel.

what is probability ?

A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A chance is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or probability that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as a percentage form 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain occurrence relative to all possible outcomes.

given

There are six possible methods to select two coins (sequence is irrelevant): 1, 5, 1, 10, 1, 25, 5, 10, and 1, 25. (10,25).

Three of these add up to at least 25, thus 3/6 or 1/2 of them.

Alternatively, there are 4 ways to choose 2 coins from 4, or 4 C 2 = 6.

You then select one of the three remaining coins and the quarter (required to reach at least 25) as follows: 3 C 1= 3 ways.

When he replaces a coin that was taken out randomly, there is a 50% chance that he chose a dime and a nickel.

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Willy and Billy each have a rock collection.

• The number of rocks in Willy’s collection can be represented by x.
• The number of rocks in Billy’s collection is 223 times the number in Willy’s collection.
• The total number of rocks in both collections is 110.

What is x, the number of rocks in Willy’s collection?

Answers

The number of rocks in Willy’s collection is 30

How to calculate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split

In this case, the number of rocks in Willy’s collection can be represented by x and the number of rocks in Billy’s collection is 2 2/3 times the number in Willy’s collection.

The appropriate equation to illustrate this will be:

x + 2 2/3x = 110

3 2/3x = 110

x = 110 ÷ 11/3

x = 110 × 3/11

x = 30

There'll be 30 rocks

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8 to the power of X over 2 divided by 4 to the power of X over 3 = 2 to the power of -5 over 2

Answers

The value of x = -3 in the given quadratic equation.

What is quadratic equation?

In mathematics, a quadratic equation is defined as an equation of degree 2, which means that the highest exponent of this function is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are numbers and a cannot be 0.

Quadratic equations are unique in that they can have up to two real solutions. Solutions are found where the quadratic equals 0. Real solutions are those that are not fictitious and have real numbers.

8 to the power of X over 2 divided by 4 to the power of X over 3 = 2 to the power of -5 over 2.

In equation it will be written as

[tex]$ 8^{x/2} \div 4^{x/3} = 2^{-5/2}[/tex]

[tex]$ (2^3)^{x/2} \div (2^2)^{x/3} = 2^{-5/2}[/tex]

[tex]$ (2)^{3x/2} \div (2)^{2x/3} = 2^{-5/2}[/tex]

[tex]$ (2)^{\frac{ 3x}{2} -\frac{ 2x}{3} } = 2^{-5/2}[/tex]

[tex]$ (2)^{\frac{ 5x}{6} } = 2^{-5/2}[/tex]

By solving this

x = -3

Thus, the value of x = -3 in the given quadratic equation.

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noam chomsky hypothesized that humans learn language through (ap) a spacecraft passes you traveling forward at 0.234 the speed of light. by what factor would its relativistic momentum increase if its speed doubled? where 2 is known and n = 50. from your data, you calculate your test statistic value as 2.01. one occasion in which managers should work to stimulate conflict is when Suggest how similar electron arrangements result in similarchemical properties. Refer to elements in the noble gasfamily in your explanation chhegg if you understand key differences between meiosis and mitosis, you should be able to explain why mitosis in a triploid (3n) cell can occur easily but meiosis is difficult A sample of n = 22 is taken and the sample mean is =35 and a sample standard deviation of s= 9.38. Construct a 95% confidence interval for the true mean, .(33, 37)(31.56, 38.44)(30.84, 39.16)(25.62, 44.38) 4 2.5 If the Fed buys securities worth $20 million from a commercial bank, the Fed's balance sheet will show a.a decrease in securities held of $20 million and a decrease in bank reserves of $20 million b.an increase in securities held of $20 million and an increase in bank reserves of $20 million. c.an increase in securities held of $20 million and a decrease in bank reserves of $20 million d.a decrease in securities held of $20 million and an increase in bank reserves of $20 million 5 2.5 The value of the discount rate at any given point in time reflects the prevailing balance between the demand for and supply of discount loans. As such, the discount rate is a market determined rate. O-True O-False A doubly-linked lists each element contains its value and two pointers-to the previous and to the next element. True O False which of the following roots refers to the main branch from the trachea into each lung? What is the period of this function? E9-7 (Relative Sales Value Method) Phil Collins Realty Corporation purchased a tract of unimproved land for $55,000. This land was improved and subdivided into building lots at an additional cost of$34,460 These building lots were all of the same size but owing to differences in location were offered for sale at different prices as follows. GroupNo. of LotsPrice per Lot 19$3,000 215$4,000 317$2,400 Operating expenses for the year allocated to this project total$18,200Lots unsold at the year-end as follows: GroupNo. of Lots 15 27 32 Instructions: At the end of the fiscal year Phil Collins Realty Corporation instructs you to arrive at the net income realized on this operation to date. What is the maximum file size supported by a file system with 16 direct blocks, a single, a double, and a triple indirection blocks? The block size is 8KB. Disk block numbers can be stored in 4 bytes. the process of urbanization can be analyzed by looking at which two dimensions of growth of a city. a. The density and heterogeneity of people. b. The number and homogeneity of people. c. The size and density of people. d. The number and percentage of people. e. The percentage and density of people. Find the present value of the ordinary annuity. Round the answer to the nearest cent. Payments of $74 made quarterly for 10 years at 8% compounded quarterly O A. $2,037.63 B. $1.990.79 O c. $726.54 OD. $2,024.31 an intense comradeship in which the social distinctions among participants in a rite of passage disappear or become irrelevant is called Simmons Investment Group (SIG) used Excel to determine the net present value, the present value index, and the internal rate of return of two investment alternatives. A summary of the results is shown below:Alternative 1Alternative 2Cost of the investment$426,000Cost of the Investment$311,000Net Present Value (NPV)$11,120Net Present Value (NPV)$9,450Present Value Index1.27Present Value Index (NPV)1.32Internal Rate of Return (IRR)10%Internal Rate of Return (IRR)11%SIG has $430,000 to invest. Assuming there are no other investment opportunities available, SIG shoulda. invest in Alternative 1 because it has a higher net present value.b. invest in Alternative 2 because it has a higher internal rate of return.c. invest in Alternative 1 because the cost of the investment is higher.d. invest in Alternative 2 because the cost of the investment is lower. The work shows finding the sum of the algebraic expressions 3a 2b and 5a (7b). 3a 2b 5a (7b) Step 1: 3a 5a 2b (7b) Step 2: (3 5)a [2 (7)]b Step 3: 2a (5b) Which is used in each step to simplify the sum? Step 1: Step 2: Step 3:. the outline below is from the book of choose... . divisionchapter i.history1 ii.messages to judah2-45 iii.prophecies against the nations46-51 iv.conclusion52 the action potential of non-pacemaker cells is due to the ________. group of answer choices inward diffusion of na inward diffusion of ca2 inward diffusion of k outward diffusion of k