Ian invested $2500 in a vehicle that earns 4%interest a year. the amount of money,a is his account as a function of the # of years. t since creating the account is given by the equation a(t)=2500(1.04) evaluate

The attached below is the graph and the three points to solve the equation is (0,1) , (1,5/2) and (-1,-1/2)

According to the question the equation that we have been given is

              -3x + 2y = 2

We need to graph the linear equation. For this we will first put different values of x in the above equation and then find the values of y which will be the coordinates of the graph.

First put x = 0

                  -3(0) + 2y = 2

                         2y = 2

                          y = 1

hence the first coordinate is (0,1)

Similarly put,     x = 1

                       -3(1) + 2y = 2

                           2y = 5

                             y = 5/2

            when x= -1 then y = -1/2

Thus the three point or coordinates are (0,1) , (1,5/2) and (-1,-1/2) and below is the graph.

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Using proportions, the solution for the golden section is given as follows:

|AC|/|AB| = 1.6181.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For this problem, the segment lengths are given as follows:

The following proportion is true for the segment:

|AC|/|AB| = |AB|/|BC|

Hence:

1/x = x/1 - x.

x² = 1 - x

x² + x - 1 = 0.

Which is a quadratic equation with solution x = 0.618.

Then the solution for the golden section is given as follows:

|AC|/|AB| = 1/x = 1/0.618 = 1.6181.

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Answer:

  (1 +√5)/2 ≈ 1.618034

Step-by-step explanation:

Given point B on segment AC, you want the "golden proportion" ratio AC/AB, such that AC/AB = AB/BC. A diagram is shown with A=0, B=x, C=1.

We can solve for the golden proportion directly by redefining points on the line segment as ...

Then we have AB = 1, AC = r, BC = r-1 and the proportion of interest is ...

  AC/AB = AB/BC

  r/1 = 1/(r -1)

Cross-multiplying gives ...

  r² -r = 1

Completing the square, we have ...

  r² -r + 1/4 = 5/4

  (r -1/2)² = 5/4

Taking the square root gives ...

  r - 1/2 = 1/2√5

  r = 1/2 + 1/2√5 = (1 +√5)/2 ≈ 1.618034

The golden ratio is (1+√5)/2 ≈ 1.618034.

__

Additional comment

This ratio appears many places in math, science, and nature. It is commonly given the name Φ or φ (phi). For example, it is the limiting value of the ratio of successive terms of the Fibonacci sequence, and is deeply embedded in the quantum description of the universe.

Convert 99 grams into pounds is 0.22.

In the US, the pound is the unit of mass that is utilized. It is symbolized by the letter lbs. Therefore, we must calculate the estimated number of grams in a pound. Both pounds and grams can be converted into one another as units of mass.

Since both systems of units may carry the same mass, the fundamental conversion rate between pounds and grams is crucial for international trade. Because just writing the numbers makes no sense, units should always be written after the final solution has been evaluated. The method of transposition may be used to discover the conversion of a given number of values from one unit to another by multiplying or dividing both sides of the equation by the same number.

Covert the unit = 99 gram

99 gram = 0.218258 pound

Rounding the converted number is 0.22.

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Answer:

n=4

Step-by-step explanation:

12n/12 = 48/12 the n=4

n = 60

n=36

n=4

n=1/4

Given that x = 8, y = 2, and z = 3, the inequality x + y > z + y is true.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

To check if the inequality x + y > z + y is true when x = 8, y = 2, and z = 3, plug in or substitute the value of each variable to the inequality and evaluate.

x + y > z + y

8 + 2 > 3 + 2

10 > 5

Since 10 is greater than 5, the given values satisfies the inequality, then the statement is true.

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Answer:

-14

Step-by-step explanation:

If u put x+5y into -2(-x+5y)

Add all that up

-2(x+5y) =(-2) (7) = -14

The perimeter of this region is 4.

playing a card game, set of cards that are numbered or outlined (or both) and are utilized for messing around, for schooling, for divination, and for conjuring. Generally, Western playing a card game are made of rectangular layers of paper or slight cardboard stuck together to frame a level, semirigid material. Some have proposed that the playing a card game previously worked as "play cash" and addressed the stakes utilized for other betting games, and later turned out to be essential for the actual games. Others have proposed associations between playing a card game and chess or dice games, yet this is again theoretical. Different games, for example, a 25-card variation of Euchre which involves the Joker as the most elevated trump, make it one of the main in the game. Frequently, the Joker is a special case, and subsequently permitted to address other existing cards.

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Hello,

[tex]6x + 2 = x + 17[/tex]

[tex]6x - x = 17 - 2[/tex]

[tex]5x = 15[/tex]

[tex]x = \frac{15}{5} = 3[/tex]

Answer:

(see attached file)

vertex: (-4, 23)

axis of symmetry: x = -4

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola. The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola.

(i'm not the best at explaining things, but khan academy has some amazing math resources if you want to check it out)

Answer:

this is geometric, you are multiplying by 1/5.

Step-by-step explanation:

Answer:

16/725

Step-by-step explanation:

Diffusion is the principle that the statistical analysis of plaintext and ciphertext results in a form of dispersion rendering one structurally independent of the other.

In a simple language, whenever there is a change in one character of the plaintext there is a multiple changes in the ciphertext. The changes do not reveal the information as the structure of plaintext.

What is ciphertext?

Whenever the encrypted text changes from plaintext to encrypted algorithm then it is known as the ciphertext. It cannot be read until it is decrypted with the help of the key. And the decryption cipher algorithm changes ciphertext to plaintext text to make it readable.

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The percentages of voters for politicians districts are determined by parameters including district work, leadership, teamwork, etc.

A politician is a person who participates in party politics by voting or holding elective office in the government. Legislation is proposed, supported, rejected, and created by politicians to rule the nation and, by implication, its citizens. Politics is the process by which those who live in groups decide on things. Politics is the process of establishing agreements between individuals so that they may coexist in social units like tribes, cities, or nations. Some individuals may invest a significant amount of effort in reaching such agreements in huge groupings, such as nations. A formal set of fundamental objectives that are backed by a political party or individual candidate in order to appeal to the general public is known as a political party platform (US English), party program, or party manifesto (preferential term in British and frequently Commonwealth English). The ultimate goal of these documents is to win the support and votes of the general public on complex issues or topics.

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By using athematic operations, we get the cost of the company A's 3000 copies is greater than that of the other two.

What are arithmetic operations?

The arithmetic operator is used to carry out mathematical operations on the specified operands, including addition, subtraction, multiplication, division, and modulus. A few examples of arithmetic operators are as follows: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.

Given that:

Copier rentals from company A cost $90 per month + 6 cents every copy and

Copier rentals from company A cost $180 per month + 3 cents every copy

Let the number of copies be x

Total rents for a month of Company A [tex]= 90+0.06x[/tex]

Total copiers rents for a month of  Company B [tex]= 180+0.03x[/tex]

Total rents for a month of Company A = Total copiers rents for a month of  Company B

⇒[tex]90+0.06x= 180+0.03x[/tex]

Taking unknown value left side

[tex]0.06x-0.03x=180-90\\0.03x=90\\x=\frac{90}{0.03} \\x=3000[/tex]

Therefore, by using athematic operations , we get the cost of the company A's 3000 copies is greater than that of the other two.

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Total time Olumide spends practicing piano is 40 minutes.

For every five minutes of piano practice, Olumide spends 8minutes practicing guitar.

Total time he spends practicing guitar = 64 minutes

We need to divide 64 by 8 to get the number of times he plays guitar.

The number of times he plays guitar = 64 / 8 = 8

According to question, he plays guitar after every piano practice.

So, The number of times he plays piano = The number of times he plays guitar = 8

Each time he practice piano for 5 minutes. So,

Total time he spends practicing piano = 8 × 5 = 40 minutes.

Total time Olumide spends practicing piano is 40 minutes.

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Answer:

Step-by-step explanation:

A direct object is the object in which the verb is acting on. For example, in the sentence “He sold his car,” “car” is a direct object. An indirect object is the recipient of the direct object, as in “The man gave his wife a necklace.” “Necklace” is the direct object, and “wife” is the indirect object

Natalie read 4.5 hours each week

In this question,

Natalie reads for 6/8 hour on 6 days each week.

We need to find how many hours Natalie read each week.

Based on the given conditions, formulate: 6/8 × 6

Write as a single fraction:

= (6 × 6)/8

= (3 × 3)/2             .................(Cross out the common factor)

= 9/2

= 4.5 hours

Therefore, Natalie read 4.5 hours each week

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Answer:

Draw the figure that illustrates what is to be proved. ...

List the given statements, and then list the conclusion to be proved. ...

Mark the figure according to what you can deduce about it from the information given. ...

Write the steps down carefully, without skipping even the simplest one.

Step-by-step explanation:

Surveys, Experiments, and Observational studies are some common methods of data collection in statistical studies that involve people.

A survey is a means to gather information about a group of individuals by asking some of them to respond to questions. A survey may require participants to fill out forms, respond to online questionnaires, take part in in-person interviews, or respond to questions over the phone.

In an experiment, as opposed to an observational study, different treatments are purposefully applied to several groups, and the groups are then compared to see whether there are any differences in a certain variable of interest termed a response. Researchers can determine whether various treatments have distinct effects by using a well-designed experiment.

In an observational study, a researcher utilizes data from observations to learn about a group of people. Aside from assessing their replies, the people being watched are particularly not hampered.

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Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

and the sum of all angles around a single point on one side of a line is also always 180° (because that line is like a diameter of any circle with that point as center, and half a circle is 180°).

3)

the third inner angle of the triangle is

180 = 63 + 51 + angle = 114 + angle

angle = 66°.

x = 180 - 66 = 114°

4)

the third inner angle of the triangle is

180 = 86 + 45 + angle = 131 + angle

angle = 49°

x + 30 = 180 - 49 = 131°

x = 101

Answer:

One can use either the slope formula m = (y2 – y1)/(x2 – x1) or the standard line equation, y = mx + b to solve for the slope, m.

Step-by-step explanation:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

The inequality: y < 10 represents Andy's  age.

Inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given:

To find: Inequality that represents Andy's possible  age.

Finding:

Let y = Andy's age

According to the question,

x = 2y + 5

x + y < 35

=> 2y + 5 + y < 35

=> 3y < 30

=> y < 10

Hence, the inequality: y < 10 represents Andy's  age.

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Distributionally robust stochastic optimization (DRSO) is a framework for decision-making problems under certainty, which finds solutions that perform well for a chosen set of probability distributions.

Review on r. gao and a. j. kleywegt. distributionally robust stochastic optimization with wasserstein distance -

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465 is the cost of the cash price will she pay overall for the car.

What is cost ?

25 % of cash price 4500 ×  25%  = 1125

12 monthly    320 ×  12  = 3840

All 1125 + 3840  =  4965

more than  4965  -  4500  = 465

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Answer:

25/3

Step-by-step explanation:

The function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

This function is linear. A linear variable function can be written in the form of y=f(x)=a+bx, where a and b are integers and x, is the variable. This function has one independent variable and one dependent variable. In the above given function y=f(x)=a+bx; y is the dependent variable and x is the independent variable.

Here since x number of rides are taken and the cost per ride is x so the total cost of x rides is given as 2x.

Since there is a total of $100 and an amount of ($10+$20=$30) is spent on entry and food respectively.

Therefore, total amount left after all the expenses can be expressed as:

f(x)=100-(30+2x)

f(x)=70-2x

f(x)=-2x+70

Therefore, function which can be used to determine the amount of money he has left over after x rides is f(x)=-2x+70.

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Different starting lineups can be created - 120+60+120=300. A certain college team has on its roster 4 centers, 5 guards, 5 forwards, and one individual (x) who can play either guard or forward.

1. A lineup without x is an example. You must decide.

It can be made as -

2C5 × 2C3× 1C4 = 10× 3×4 = 120 ways

2. Consider starting lineups with guard x. You must decide.

1C5×2C3×1C4 = 5×3×4 = 60 ways

3. Think about lineups where x is the forward. You must decide.

2C5×1C3×1C4 = 10×3×4 = 120 ways.

Therefore, total number different lineups is - 120+60+120=300.

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The magnitude of the resultant velocity of the soccer ball is 10 m/s .

Let the horizontal component of velocity be [tex]V_{x}[/tex] and the vertical component  of velocity be [tex]V_{y}[/tex].

The magnitude of the resultant velocity will be represented by V.

So, we can write

The horizontal component of velocity = [tex]V_{x}[/tex] = 8 m/s

The vertical component  of velocity = [tex]V_{y}[/tex] = 6 m/s

The relation between horizontal component, vertical component and resultant velocity is,

[tex]V^{2} = V_{x} ^{2} + V_{y} ^{2}[/tex]

On substituting value of horizontal component and vertical component, we get

[tex]V^{2}[/tex] = [tex](8)^{2} + (6)^{2}[/tex]

[tex]V^{2}[/tex] = 64 + 36

[tex]V^{2}[/tex] = 100

V = [tex]\sqrt{100}[/tex]

V = 10 m/s

The magnitude of the resultant velocity of the soccer ball is 10 m/s .

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A fraction that is equals to 5 is given by: 10/2.

A fraction is modeled as follows:

a/b.

In which:

The equivalent of a fraction is a division operation, that is, the example fraction is equivalent to the division of a by b.

Hence, a fraction that is equivalent to 5 is a division of two numbers that result in 5, for example 10 and 2, hence:

A fraction that is equals to 5 is given by: 10/2.

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