What is the future value of $2,500 deposited for one year earning a 14 percent interest rate annually

Answer:

Step-by-step explanation:

Let's assume that x is the number of boxes that the moving company moves in a certain amount of time (in hours). Then we can write the following equation to represent the relationship between the number of boxes moved and the time taken:

x = 50h

where h is the number of hours taken to move x number of boxes.

This equation means that the number of boxes moved, x, is equal to the product of 50 boxes per hour and the number of hours, h, taken to move those boxes.

For example, if the moving company moves 200 boxes, then we can find the time taken as:

200 = 50h

h = 200/50

h = 4

Therefore, the moving company takes 4 hours to move 200 boxes.

The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.

A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.

From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,

µ = 3. 5 and σ = 0. 5

and the random sample of 100 male students has a mean GPA 3.42 is considered.

The z-score value is,

Z=( 3.42-3.5)/ (0.5/√100)

Z= -0.08/0.05

Z=-1.6

The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:

The required probability is,

P(X>3.42)=P(z>-1.6)

= 1- P(Z≤-1.6)

From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.

P(X>3.42)= 1- P(Z≤-1.6)

=1-0.0548

=0.9452

The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.

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y = 14/11 x is the required equation. Option Cis correct

If the variable y varies directly with x, this is expressed as:

y = kx

where

k is the constant of proportionality

Given that x = 11 and y = 14, hence;

k = y/x

k = 14/11

Substitute k into the original equation

y = kx

y = 14/11 x

Hence the required equation from the given information is y = 14/11 x

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0.0248 is the probabilty that he or she is allergic to multiple foods .

What is probability and its formula?

The probability serves as a gauge for the possibility that an event will occur. It quantifies the certainty of the event.

                         The probability equation is stated by the following notation: P(E) = Number of Favorable Outcomes/Number of Total Outcomes.

P(food allergy and history of severe reaction) = 0.08 x 0.38

= 0.0304

b) P(allergic to multiple foods) = 0.08 x 0.31

= 0.0248

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The total length of the stickers that are more than 2 inches long is 5 1/2 inches. The Option C is correct

A length is the measurement or extent of something from end to end; the greater of two or the greatest of three dimensions of an object.

The calculation of the total length of the stickers that are more than long is as follows:

= 2 1/4 + 2 1/2 + 2 3/4 + 3

= 9/4 + 5/2 + 11/4 + 3

= 9 + 10+ 11 + 12 / 4

= 42/4

= 10 2/4 inches

= 5 1/2 inches

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Full question "Jalesia has a set of train stickers. She measures the length of the stickers. Then she makes a line plot of the data. h of Stickers In jalesia takes all the stickers that are more than  long. She lays them end to end across her folder. What is the total length of the stickers that are more than  long?"

The statement "an exterior angle of a triangle will always be obtuse" is actually false.

Why it is?

An exterior angle of a triangle is formed by extending one of the sides of the triangle, and it is the angle between that extended side and the adjacent side of the triangle.

The measure of an exterior angle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

Now, consider a triangle with interior angles of 70, 60, and 50 degrees. If we extend the side opposite the 70-degree angle, we get an exterior angle of 110 degrees. However, 110 degrees is not obtuse, since an angle is obtuse if and only if it is greater than 90 degrees. Therefore, we have shown that an exterior angle of a triangle does not always have to be obtuse.

In summary, the statement "an exterior angle of a triangle will always be obtuse" is false, and we have provided a counterexample to show why this is the case.

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So, we can express matrix B as a linear combination of matrices A1 and A2 as shown above.

An arrangement of integers into rows and columns is called a rectangular matrix. Every single number in a matrix is referred to as a "matrix element" or "entry." The example matrix, designated as A, has two rows and three columns.

To express matrix B as a linear combination of matrices A1, A2, and A3, we need to find coefficients x, y, and z such that:

B = xA1 + yA2 + z*A3

Substituting the matrices B, A1, A2, and A3 into this equation, we get the following system of linear equations:

x + z = 1

x - y + z = 1

-3x + y + z = 0

x + y + z = 1

Solving this system of equations, we get:

x = 1/2

y = 1/2

z = 0

Therefore, we have:

B = (1/2)*A1 + (1/2)A2 + 0A3

Substituting the values of A1, A2, and A3, we get:

B = (1/2)[1 0] + (1/2)[0 1] + 0*[1 -1]

= [1/2 1/2]

So, we can express matrix B as a linear combination of matrices A1 and A2 as shown above.

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We can write B as a linear cοmbinatiοn οf A1, A2, and A3 as:

B = 2 A2 + A3

In linear algebra, a linear cοmbinatiοn οf matrices is a sum οf scalar multiples οf thοse matrices. That is, given matrices A1, A2, ..., An and scalars c1, c2, ..., cn, their linear cοmbinatiοn is defined as:

c1A1 + c2A2 + ... + cnAn

Tο write B as a linear cοmbinatiοn οf A1, A2, and A3, we need tο sοlve the system οf linear equatiοns:

x1 A1 + x2 A2 + x3 A3 = B

where x1, x2, and x3 are the cοefficients οf the linear cοmbinatiοn.

Rewriting the matrix equatiοn, we get:

x1 + x3 = 1

x1 - x3 = 1

-3x1 + x2 + x3 = -3

x2 + x3 = 1

Sοlving this system οf equatiοns, we get:

x1 = 0

x2 = 2

x3 = 1

Therefοre, we can write B as a linear cοmbinatiοn οf A1, A2, and A3 as:

B = 2 A2 + A3

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2.183 miles is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings.

Distances between two things or places can sometimes be measured qualitatively and sometimes quantitatively. A physical length or an estimate based on other criteria might be referred to as distance in physics or everyday language. The entire movement of an item, independent of direction, is called distance. No matter where an item starts or ends, distance may be described as the amount of ground it has covered.

Given that,

If the White House is located at (−8,−6) and the Pentagon is located at (−1,10).

Then, distance = √(-8-(-1))² + (-6 -10)² × 0.125

= 2.183 miles

Thus, 2.183 miles is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two buildings.

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A total of 23800 cubes can fit inside the box of the given dimensions.

The volume of a cube is given by -

Volume = a x a x a = a³

Given is that a box has a length of 10 inches, a width of 8[tex]\frac{3}{4}[/tex] inches, and a height of 4[tex]\frac{1}{4}[/tex] inches.

The volume of the box would be -

V = 10 x 8[tex]\frac{3}{4}[/tex] x 4[tex]\frac{1}{4}[/tex]

V = 10 x 35/4 x 17/4

V = 371.875 inches³

The volume of cube -

v = 1/4 x 1/4 x 1/4

v = 0.015625 inches³

Number of cubes that will fill the box would be -

n = V/v

n = 371.875/0.015625

n = 23800

Therefore, a total of 23800 cubes can fit inside the box of the given dimensions.

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The linear programming model that can be used to determine the number of units of each model in order to maximize the profit is x2 <= 280 (Lady-Sport Frames), 2 x1 + 2.5 x2 <= 1000 (Assembly & Test).

When a linear function is exposed to various constraints, it is maximised or reduced using the mathematical modelling technique known as linear programming. In commercial planning, industrial engineering, and—to a lesser extent—the social and physical sciences, this method has proven helpful for directing quantitative decisions.

A linear programming problem can be solved by determining the best value.

a)Let x1 be number of EZ-Riders produced.

Let x2 be number of Lady-Sports produced.

The Objective is to maximize the profit contribution:

Max 2,400 x1 + 1,800 x 2

The Constraints are: Engine Manufacturing Time <= 2100 hours

Lady-Sport Frames <= 280 frames

Assembly & Test <= 1000 hours

6 x1 + 3 x2 <= 2100 (Engine Manufacturing)

x2 <= 280 (Lady-Sport Frames)

2 x1 + 2.5 x2 <= 1000 (Assembly & Test)

We also need bounds x1 and x2 => 0.

So the full model is:

Max 2,400 x1 + 1,800 x2

Subject to 6 x1 + 3 x2 <= 2100 (Engine Manufacturing)

x2 <= 280 (Lady-Sport Frames)

2 x1 + 2.5 x2 <= 1000 (Assembly & Test)

x1 => 0, x2 => 0

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According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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Answer:

A

Step-by-step explanation:

y = - x + 6 → (1)

x - 3y = 18 → (2)

substitute y = - x + 6 into (2)

x - 3(- x + 6) = 18 ← distribute parenthesis and simplify left side

x + 3x - 18 = 18

4x - 18 = 18 ( add 18 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

substitute x = 9 into (1) and evaluate for y

y = - x + 6 = - 9 + 6 = - 3

solution is (9, - 3 )

The triangles are congruent by ''ASA congruency theorem.''

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two triangles PQT and PZX are shown in figure.

Now, By figure;

In both triangles PQT and PZX,

⇒ ∠ QTP = ∠ PXZ

⇒ PQ = PZ

⇒ ∠ QPT = ∠ XPZ     (By definition of vertically opposite angle.)

Thus, By ASA congruency theorem both triangles are congruent.

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Answer

Given the 2 equations

x = y + 4 → (1)

2x - 3y = - 2 → (2)

Substitute x = y + 4 into (2)

2(y + 4) - 3y = - 2 ← distribute and simplify left side

2y + 8 - 3y = - 2

- y + 8 = - 2 ( subtract 8 from both sides )

- y = - 10 ( multiply both sides by - 1 )

y = 10

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 4 = 14

Solution is (14, 10 ) → D

Step-by-step explanation:

Answer:

x=3

x=3y=1

I hope this helps!

Step-by-step explanation:

x+y=4

2x-3y=3

y = 4-x

2x-3(4-x) = 3

2x-12+3x = 3

5x = 15

x = 3

y = 4-x

4-3 = 1

y = 1

Therefore , the solution of the given problem of domain comes out to be the appropriate domain for p(w) would be [1, 1000]

The domain of a function is the range of possible arguments that it can accept. The cross of the an f-like functional is represented by these numbers (x). The range of potential values to which a function can be applied is known as its domain. The value that the procedure returns after inserting the x value is part of this set. An equation for a function is Y = f, where y and x are predictor variables (x). When a given value of x can produce a single value of y, a parameter is said to be in the scope of a function.

Here,

Given :

1 kilogram to 1000 kilograms.

He charges $5 for 1 kilogram and $2000 for 1000 kilograms.

So,

The appropriate domain for p(w) would be [1, 1000]

since

Aiden sells any amount of cumin seeds from 1 kilogram to 1000 kilograms.

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The complete question is "Aiden is a spice trader. He sells any amount of cumin seeds from 1 kilogram to 1000 kilograms. He charges $5 for 1 kilogram and $2000 for 1000 kilograms.

p(w) models the price (in dollars) of w kilograms of cumin seeds in Aiden's shop. What's the appropriate domain?"

The recording of the transactions in the Blooming Flower Company for the Year 1 . The amount of depreciation expense on its Year 1 Income Statement is $9,000.

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

The Data Analysis as follows;

Cash $60,000                     Common Stock $60,000

Equipment $40,000            Cash $40,000

Cash $72,000                       Sales Revenue $72,000

Salaries Expense $25,000    Cash $25,000

Depreciation Expense - $9,000

Accumulated Depreciation $9,000 means ($40,000 - $4,000)/4

Now we have

Transaction    Balance Sheet    Income Statement     StatemenCashFlows            

    Assets = Liabilities + Equity            

Revenue - Expense  = Net Income

1. +$60,000 =           $0   + $60,000                                                       FA

2. +40,000 - 40,000                                                                                IA

3. +72,000 =  $0    +   72,000       +$72,000                                OA

4. -25,000 =  $0     -   25,000                          - 25,000               OA

5.   -9,000 =  $0     -     9,000                          -   9,000                N/A

$98,000 =  $0       $98,000         $72,000 - $34,000 = $38,000

Where FA = Financing activity

IA = Investing activity

OA = Operating activity

N/A = Not applicable

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The sequence of transformations that maps triangle ABC onto triangle A”B”C” is given as follows:

First we must look at one vertex of the original triangle, and I am going to choose vertex A, which has the coordinates given as follows:

A(-1,1).

From the change in the orientation of the triangle, we can see that it was reflected over the x-axis, transformation for which the rule is (x,y) -> (x, -y), hence:

A'(-1,-1).

The coordinates of vertex A'' are given as follows:

A(-4,-4).

This means that each coordinate of vertex A' was multiplied by 4, thus the second transformation is a dilation with a scale factor of 4.

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The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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Answer:

Hope the picture helps! <3

Step-by-step explanation:

The vertex of the parabola is at the point (-3/2, -21/4) and the range of the function would be (-21/4, infinity).

What is the quadratic function?

A quadratic function is a function of the form [tex]f(x) = ax^2 + bx + c,[/tex] where a, b, and c are constants, and a is not equal to 0. It is a type of polynomial function that can be graphed as a parabola, which is a symmetric curve that opens either upwards or downwards.

Given the table of points for the continuous quadratic function h(x), we can find the vertex and range of the function. Since the function is quadratic and continuous, it can be represented in the standard form [tex]f(x) = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola.

To find the vertex, we can use the fact that the x-coordinate of the vertex is given by -b/2a, where a and b are the coefficients of the quadratic term and the linear term, respectively. In this case, a = 1 (since the function is continuous and quadratic), and b can be found using any two points on the parabola:

[tex]b = (h(x2) - h(x1))/(x2 - x1) = (4 - 7)/(-2 + 1) = 3[/tex]

Therefore, the x-coordinate of the vertex is x = -b/2a = -3/2. To find the y-coordinate of the vertex, we can evaluate the function at this value of x:

[tex]h(-3/2) = (1)(-3/2 - h)^2 + k[/tex]

To solve for k, we can use one of the points on the parabola, say (-6, 12):

[tex]12 = (1)(-6 - h)^2 + k[/tex]

Expanding and simplifying, we get:

[tex]12 = (h - 6)^2 + k[/tex]

Substituting -3/2 for h, we get:

[tex]12 = (-(3/2) - 6)^2 + k\\\\12 = 81/4 + k\\\\k = -21/4[/tex]

Therefore, the vertex of the parabola is at the point (-3/2, -21/4).

To find the range of the function, we can look at the shape of the parabola. Since the coefficient of the quadratic term is positive, the parabola opens upwards, and the vertex is the lowest point on the graph. Therefore, the range of the function is all real numbers greater than or equal to the y-coordinate of the vertex, which is -21/4. In interval notation, we can write the range as (-21/4, infinity).

Hence, the vertex of the parabola is at the point (-3/2, -21/4) and the range of the function would be (-21/4, infinity).

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Step-by-step explanation:

let the number be 'x'

x*-10+7=3x

-10x*7=3x

-3x=3x

Answer:

Step-by-step explanation:

Item: $15

on sale:$15 -35% or 15*7/20=

$9.75~

Answer:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Step-by-step explanation:

Since the ratio of fruit mass to biscuit mass is 2:3, the fraction of fruit mass to the total of fruit and biscuit mass is 2/5 and the fraction of biscuit mass to the total of fruit and biscuit mass is 3/5.

For Monkey A, the total of fruit and biscuit mass is 73 g, which means that the fraction of fruit mass is 2/5 × 73 g = 29.2 g and the fraction of biscuit mass is 3/5 × 73 g = 43.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 29.2 g

Biscuit mass = 43.8 g

For Monkey B, the total of fruit and biscuit mass is 73 + 85 = 158 g, which means that the fraction of fruit mass is 2/5 × 158 g = 63.2 g and the fraction of biscuit mass is 3/5 × 158 g = 94.8 g. Therefore, the values for fruit mass and biscuit mass are:

Fruit mass = 63.2 g

Biscuit mass = 94.8 g

Time  is 4.053 hours (to the nearest thousandth of an hour).

What is average rate?

This refers to  the change in speed over a selected period of time. It depends on when you take the measurements. •

Solving for average rate:

Average Rate = 123.362 mi per hr

Distance = 500 (mile)

Time =?

Average Rate = Distance

                            Time  

123.362 mi per hr =   500 (mile)

                                     Time    

Making time subject of the formular we have:

Time = 500 (mile)

            123.362 mi per hr

Time = 4.053 hrs

Time  is 4.053 hours  (to the nearest thousandth of an hour).

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a) xᵃ/xᵇ = xᵃ⁻ᵇ

b) xᵃ x xᵇ = xᵃ⁺ᵇ

c) x⁰ = 1

d) (xᵃ)ᵇ = xᵃˣᵇ

e) x⁻ᵃ = 1/xᵃ

indices are a method used in solving a variable in which the power or exponent of a number is raised to a number of variables

These questions are part of the basic theorems or rules of indices

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The total annual income from both investment is

(14x -65000)/100

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

I = x× 9/100

I = 9x/100

(13000 - x) × 5/100

= (65000-5x)/100

therefore the total amount annual income

= 9x /100 - (65000-5x)/100

= (9x+5x-65000)/100

= (14x - 65000)/100

therefore the total annual income = (14x -65000)/100

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In a case whereby a  person invested $13,000, part of the money, x, was placed in a stock that paid 9% annual interest the total annual income from both investments, I, as a function of x is I= [ 0.14X+12350 ]

The Amount that was invested =$13,000

Then the Profitable Investment which was givden as 9% can be expressed as =  [ X(1.09) ]

Then from the question we can see the Negative Investment, which is -5% and can be expressed as = [ (13,000-X)(1-0.05) ]

The we can sum up as

I= [ X(1.09) ]+ [ (13000-X)(0.95) ]

This can be simplified as

I= [ 1.09X-0.95X+12350 ]

I= [ 0.14X+12350 ]

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The value of z is 27 when the value of w is 5, when w varies inversely with z.

The ratio of two proportional values at a constant value is the proportionality constant. When either the ratio or the product of two variables results in a constant, the connection between the two is proportional. The ratio between the two stated quantities affects the proportionality constant's value. Direct variation and inverse variation are two different sorts of this relationship.

Given that, w is 15 when z is 9, and w varies inversely with z.

This can be represented as:

w = k (1 /z)

where, k is the proportionality constant.

Substituting the value of w = 15 and z = 9 we have:

15 = k(1/9)

k = 15(9)

k = 135

Substituting the value of k and w = 5:

5 = 135(1/z)

z = 135/5

z = 27

Hence, the value of z is 27 when the value of w is 5.

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As a result, option B is the equation that finds the equation of the line: y/x = 2/3.

An equation is a mathematical statement that indicates that two expressions are equal. It is a statement of equality that contains one or more variables, which are usually represented by letters. An equation consists of two sides separated by an equal sign (=). The left-hand side (LHS) and the right-hand side (RHS) of the equation may contain different expressions, which may include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To find the equation of the line that passes through the points (0,0) and (6,4), we can use the slope-intercept form of the equation of a line, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope of a line is given by the rise over run, or the change in y divided by the change in x, between any two points on the line.

We can use the coordinates (0,0) and (6,4) to find the slope of the line:

slope = (change in y) / (change in x)

= (4 - 0) / (6 - 0)

= 4/6

= 2/3

Therefore, the slope of the line is 2/3.

To find the equation of the line, we can use the point-slope form of the equation of a line, which is:

y - y1 = m(x - x1)

where (x1, y1) is any point on the line. We can use the point (0,0), so the equation becomes:

y - 0 = (2/3)(x - 0)

Simplifying, we get:

y = (2/3)x

Therefore, the expression that finds the equation of the line is option B: y/x = 2/3.

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Based on the information in the passage, we will most likely expect the following to happen:

C. Elizabeth and Joelle will remain friends despite the sport they play.

The passage being referred to in this question is "Sliding into Home" by Dori Hillestad Butler. It tells the story of two girls named Elizabeth Shaw and Joelle Cunningham who chose different sports but remained determined to be friends despite this.

While Joelle enjoyed playing baseball, Elizabeth was better at Softball. Despite Elizabeth's encouragement for Joelle to play Softball, Joelle insisted on her favorite game but they remained friends regardless.

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Answer:

environment .. pollution

growth if of food.... wealthy too much rain or no rain