2. Ozzie Foster deposits $2,000 at the end of each year (ordinary annuity) into an Individual Retirement
Account at Bishop Bank. The account pays 7% compounded annually. a) How much will be in the account
in 25 years? b) If Ozzie haddeposited the $2,000 at the beginning of each year (annuity due), how much
would be in the account in 25 years?

The polynomic function that contains the points (0, 6), (3, 15.8) and (9.5, 0) is a quadratic function, whose model is y = -0.600 · x² + 5.066 · x + 6.

To determine the coefficients of a polynomic function we must know a set of distinct points, whose number is the same number of coefficients. In this case, we can derive a quadratic function, as quadratic functions have three coefficients:

y = a · x² + b · x + c     (1)

Now we substitute x and y in (1) and solve the resulting system of linear equations:

c = 6

9 · a + 3 · b + c = 15.8

90.25 · a + 9.5 · b + c = 0

Whose solution is a ≈ -0.600, b ≈ 5.066 and c = 6.

The statement is incomplete. The complete form is shown below:

There is a polynomial function. Find the function of (0, 6), (3, 15.8) and (9.5, 0).

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Looking at the problem statement, the question is asking for us to determine the justification for the steps that are used to help solve the equation.  We are given the expression [tex]x + 17 = 38[/tex] to help achieve that goal.

Now that we know what we must do to finish this problem let us look how this equation can be solved.  When the term solve the equation is used it refers to us solving for the unknown, in this case being the variable x.  We can see that we have [tex]x + 17[/tex] on the left side and in order to solve the equation x must be alone so we would subtract 17 from both sides.

Subtract 17 from both sides

Therefore, we know that we must subtract the same number from both sides and this justification is known as the Subtraction Property of Equality.  This basically states that an equal value needs to be subtracted from both sides and it will become a new equation but with the same result.

Answer:

Subtraction Property of Equality

Step-by-step explanation:

Given: x + 17 = 38

Algebraic Properties:

Addition: If a = b, then a + c = b + c

Subtraction: If a = b, then a - c = b - c

Multiplication: If a = b, then ac = bc

Division: If a = b, then a ÷ c = b ÷ c

To solve this equation, we know that we need to isolate the variable x. To do this, we need to subtract 17 from both sides to isolate x.

This is also known as the subtraction property of equality, which states that when the same thing is subtracted from both sides of an equation, the equation will still be balanced. 

Subtract 17 from both sides:

x + 17 - 17  = 38 - 17

⟹ x = 21

Therefore, the subtraction property of equality is included in the steps used to solve this equation.

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Answer:

b = 9

Step-by-step explanation:

[tex]\frac{2}{3} b + 5 = 20-b\\\frac{2}{3} b+5+b=20-b+b\\\frac{5}{3} b+5=20\\\frac{5}{3} b+5-5=20-5\\\frac{5}{3}b=15\\b= 15*\frac{3}{5} \\b= 9[/tex]

Answer:

[tex]b = 9[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} b + 5 = 20 - b[/tex]

In order to solve for b, we must isolate the variable. We can start by subtracting 5 from both sides.

[tex]\frac{2}{3} b + 5 - 5 = 20 - b - 5[/tex]

Simplify.

[tex]\frac{2}{3} b = 15 - b[/tex]

Add b to both sides.

[tex]\frac{2}{3} b + b = 15 - b + b[/tex]

Simplify.

[tex]\frac{2}{3} b + b = 15[/tex]

Multiply everything by 3 to remove the fractions.

[tex]3(\frac{2}{3}b+b) = 3(15)[/tex]

Simplify.

2b + 3b = 45

Simplify.

5b = 45

Divide 5 from both sides.

5b ÷ 5 = 45 ÷ 5

Simplify.

b = 9

For more information on solving variables, check out the following answers!

Answer:

C

Step-by-step explanation:

it is because the hours spent by training will determine the pay at the end of the month.

therefore it's independent that's y it is the domain.

The volume of the box with a height of 10 inches and perimeter of 72 inches and width of w is 360w - 10w²

An equation is an expression that shows the relationship between two or more numbers and variables.

Let w represent the width of the box and v represents the volume, hence:

2(w + length) = 72

Length = 36 - w

Volume = w(36 - w) * 10

Volume = 360w - 10w²

The volume of the box with a height of 10 inches and perimeter of 72 inches and width of w is 360w - 10w²

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Answer:

20 units²  

Step-by-step explanation:

Answer:

2(x + 5) = x - 2

⟹ x = -12

Step-by-step explanation:

Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?

This word problem can be written as:

⟹ 2(x + 5) = x - 2

1. Distribute:

2(x) + 2(5) = x - 2

⟹ 2x + 10 = x - 2

2. Subtract x from both sides:

2x - x + 10 = x - x - 2

⟹ x + 10 = -2

3. Subtract 10 from both sides:

x + 10 - 10 = -2 - 10

⟹ x = -12

4. Check your work:

2(x + 5) = x - 2

2(-12 + 5) = -12 - 2

2(-7) = -20

⟹ -14 = -14 ✔

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Answer:

  a.  $19,224.92

Step-by-step explanation:

The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.

__

  cost for base car = 0.83 × $21,276 = $17,659.08

  cost for options = 0.80 × $1,219.80 = $975.84

  cost for destination charge = $590.00

The sum of the dealer's costs is ...

  $17,659.08 +975.84 +590.00 = $19,224.92

Barrons should estimate the dealer's cost to be $19,224.92.

[tex]~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan B = \dfrac{AC}{BC}\\\\\\\implies \tan 40^{\circ} = \dfrac{10}{a}\\\\\\\implies a = \dfrac{10}{\tan 40^{\circ}}\\\\\\\implies a= 11.9~ m[/tex]

Answer:

vertex = -4, -26

Step-by-step explanation:

The standard form of a quadratic function is : [tex]y=ax^{2} +bx+c[/tex]
The function here : y = [tex]x^{2}[/tex] + 8x - 10
is in this form with a=1, b=8 and c = -10
x-coord of vertex = [tex]\frac{-b}{2a}[/tex]
[tex]x_{vertex} =\frac{-8}{2} = -4[/tex]
To find corresponding value of y-coord of vertex , substitute

x = -4 into the function.
x=-4  : [tex]y=(-4)^{2} +(8*(-4))-10 = 16 +(-32)-10=-26[/tex]

Answer:

Step-by-step explanation:

Answer:

#1 evaluates to 2

#2 evaluates to 0

#3 evaluates to 10

#4 evaluates to 6

code is HIEA

The inequality that can be used  to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.

Here are inequality signs and what they denote:

Total amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)

$1500 ≥ $575 + $5d

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Based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a supply chain manager career.

A supply chain manager ensures the movement of goods, from manufacturers and suppliers to the ultimate customer.

A supply chain manager oversees and manages the production flow:

A supply chain manager requires the following skills:

Thus, based on Neena's qualifications and desire for the highest pay scale, she would be best suited for a supply chain manager career.

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For boys, it's between the ages of 12-16

And for girls, it's between the ages of 10-14

Answer:

boys between ages 12 and 16 girls between ages 10 and 14

Answer:

3(4 + n) = n + 18

n = 3

Step-by-step explanation:

because the sum of 4 and a number is multiplied by three. That equals the number plus 18. N = 3. in the image below are the steps you can take to solve the equation.

divide the number of people supporting the home team by the percentage supporting the home team.

1413/0.45 = 3140

total people = 3,140

The total number of people attending the basketball game was 3140.

Let's denote the total number of people attending the game as "T."

According to the information given, 45% of the people were supporting the home team. Therefore, the number of people supporting the home team can be calculated as 45% of the total number of people: 0.45 * T.

We are also told that 1413 people supported the home team. So, we can write the equation:

0.45 * T = 1413

Now, let's solve for the total number of people attending the game (T):

T = 1413 / 0.45

T = 3140

Therefore, the total number of people attending the basketball game was 3140.

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Answer:

Kristen will have $1159.27 after 5 years

Step-by-step explanation:

trust in ya boy

Answer:

$ 1159.27

Step-by-step explanation:

1000 ( 1 + .03)^5 = 1159.27

Answer:

98.4 inches

Step-by-step explanation:

1 meter is about 3.28 ft, meaning the oak tree is 8.2ft tall. (2.5*3.28)

1 foot is 12 inches, meaning the oak tree is 98.4 in tall. (8.2*12)

The height of the oak tree = 98.42 inches.

Given that,

The height of the oak tree is 2.5 meters

We have to find height of tree in inches.

Since we know that,

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Since we know that,

1 meter = 39.37

Then to find the height of oak tree in inches

Multiply 2.5 with 39.37

Therefore,

The height of the oak tree in inches = 2.5 x 39.37

                                                             = 98.42 inches

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Answer:

11.   g

12.  f

13.  e    (add all the frequencies)

14.  d

15.  c    (eg. 17.5 -8.5 = 9)

16.  b

17.  a

Let me know if you have any questions.

Hope this helps!

For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.

The parent function for the graph of the modulus is given as g(x) = |x|

For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.

For the graph, there will be s shift down the graph by 2 units from the graph of the parent function as shown;

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Answer:

Step-by-step explanation:

We will look for a line that has the general form of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

A line parallel to y=2x-1 will have the same slope, 2.

We can write y = 2x + b for the new line.  We need to find b.  We can use the given point in this equation and solve for b:

y = 2x + b

2 = 2(4) + b  for (4,2)

2 = 8 + b

x = -6

The parallel line to y=2x-1 that goes through point (4,2) is:

y = 2x-6

See the attached graph.

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to write the equation of the line that passes through (4, 2) and is parallel to y=2x-1.

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

Since the slope of the given line is 2, the slope of the line parallel to this one is also 2.

y=2x+c

Where: 2 is the y-coordinate of the point, and 4 is the x-coordinate.

Now, substitute 2 for y and 4 for x:

[tex]\longmapsto\sf{2=2(4)+c}[/tex]

Simplify!

[tex]\longmapsto\sf{2=8+c}[/tex]

Subtract 8 from both sides of the equal sign:

[tex]\longmapsto\sf{2-8=c}[/tex]

[tex]\longmapsto\sf{-6=c}[/tex]

Hope it helps you out! :D

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Answer:

see the attachment photo!

There are no such integers. Odd + odd = even, and adding odd to that makes it odd again. But 64 is even.

Put another way, let n be the smallest of the three integers. Then

n + (n + 2) + (n + 4) = 64

3n + 8 = 64

3n = 56

But 3 does not divide 56, so there is no integer solution for n.

Answer:

I just need points I don't know your answer

Step-by-step explanation:

Answer:

The range will be (-∞,∞)

Step-by-step explanation:

Since there is no number that can make this function undefined or limited to a certain set of values,  the range shall be infinite.

Answer:

-41/12 or -3 5/12

Step-by-step explanation:

4*2 +1 = 9,  5 * 3 + 2 = 17

9/4 - 17/3

27/12 - 68/12

= -41/12 or -3 5/12

Step-by-step explanation:

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