Gregoria borrowed $2,450, to be paid back at 3.5% annual simple interest. She repays $3,221.75. How many years was the loan period?

Answer: 4/3 or 1.33

Step-by-step explanation:

Answer:

Part a: x + 17 = 52    Part b: He should guess the number 35.

Step-by-step explanation:

In the equation, x stands for the number he has to guess. He is given the clue, "17 more than the number is 52." Therefore x + 17 = 52. Another equation you could use is 52 - 17 = x. This equation would be used to solve the problem. 52 - 17 = 35

Answer:

Step-by-step explanation:

The probability that a ball is not red is 3/5 and the probability that the ball is red or white is 2/3 .

Mathematical descriptions of the likelihood that an event will happen or that a proposition is true are dealt with in the discipline of mathematics known as probability.

In the given question there are  6 red balls, 4 white balls, and 5 blue

balls.

Total number of balls = 6+4+5 = 15 balls (sample space)

Red balls = 6

Not red balls = 15 - 6 = 9

Probability that the ball is red = 9/15 = 3 /5

Red and white balls = 6 + 4 =10

Probability that the ball is red or white = 10 / 15 = 2 / 3

Hence the probability that a ball is red or white is 2 / 3.

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Disclaimer : The complete question is :

A ball is drawn at random from a box containing 6 red balls, 4 white balls, and 5 blue balls. Determine the probability that it is

(a) not red

(b) red or white

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Answer: Positive

Step-by-step explanation:

If a positive number is divided ( or multiplied ) by a negative number it is always a negative number. If you divide ( or multiplied) two negative numbers its always a positive so,

+/- = -

- / - = +

Answer: The answer is D: 6

Given:

The company claims that its heaters last more than 5 years.

Find: null alternative hypotheses.

Sol:

The current price index is mathematically given as,$538.194

By increasing the ratio of the current value to the reference value by 100, one can determine the index value.

Given that the current cost of gasoline is $3.10 per gallon. we need to find the current price index number, using the 1975 price of 56.7 cents as the reference value.

In regard to this issue, we have that:

Current value = $3.10

Reference value: $0.576

Typically, the mathematical formula for the Index price is,

I = (3.10/0.576) x 100

I= $538.194

The current price index number is 538.194

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Answer:

738

Step-by-step explanation:

1188 - 450 = 738

The answer to your question is =

1.57142857

See explanation below

Explanation:

From the question, we are told line TV is perpendicular to line US.

This means the point which they intersect has an angle of 90°.

We are also told line TV bisects STU.

For a line to bisect an angle, it means it divided the angle into two equal parts.

When line TV bisects STU, it divided it into angle STR and angle UTR

Hence, ∠STR = ∠UTR

Also line SU and line and line VT intersect to give vertical angles.

Angle R and the angle opposite it are vertical angles.

Vertical angles are equal.

The angle with 90° and the angle opposite it is also a vertical angle.

you can see from the illustration. The two angles opposite each other are equal to 90°.

Since angle on a straight line = 180°

angle R + 90° = 180°

angle R = 180-90

angle R = 90°

All the 4 angles that result from the intersection line VT and line SU are equal to 90°

The equation of the line passing from found as y = 5.

The formula for finding the slope is;

m = Δy/Δx

Where, m is the slope

The given equation of line is;

x = 3 comparing it with standard form of equation;

y = mx + c

As, the equation is a straight line passing parallel to x axis, the slop of line x = 3 is ∞.

Thus, m₁ =  ∞.

Now, let the slops of the line passing from (-2, 5) is m₂,

The, as both line are perpendicular.

Thus,

m₁ x m₂ = -1

m₂ = -1/∞

m₂ = 0

The equation of line is found by

y - y₁ = m₂(x - x₁)

Put the values;

y - 5 = 0(x + 2)

y = 5

Therefore,the equation of the line passing from found as y = 5.

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Answer:

120

Step-by-step explanation:

They need six rows with an equal amount of peppers on each row, luckily, everything we need to solve is problem is right in front of us.

First we divide the amounts below

How long the rows will be / How far apart the peppers will be spread.

As we can see that gives us 60 / 3, which should be 20.

Now that we’ve completed this portion we can move on.

Multiply your answer from the division, by how many rows there are.

Our answer from the division was 20, and as we can see there are six rows.

20 x 6 = 120.

Which should give you your answer!

given polynomial is,

let us find thefactors of the polynomial,

for the polynomial,

use the formula to find the factors,

where,

thus,

thus,

the factors are,

there is no proportional relationship between the two qualities

For two quantities to be proportional, it must follow the formula:

y = kx

where k = proiportionality constant

k = y/x

if y = 950, x = 1

inserting in the equation:

950= 1k

k = 950

The equation becomes: y = 950 × x

We check for other values. if k is the same, it is proportional

when y = 2852, x = 3

2852 = k × 3

k = 2852/3 = 950.67

when y = 5.1, x = 4845

4845 = k × 5.1

k = 4845/5.1 = 950

From the above, the value of k which is different is for the 2nd value.

Since they are not all the same, we say there is no proportional relationship between the two qualities

Marie should buy the bag with green apples as it has more weight hence it will have more apples eventually making her pie tastier

Comparison: When we compare, we look for similarities among the characteristics of other items or objects. Mathematicians use the concept of comparing and ranking numbers to identify the smaller and larger numbers and to determine whether they should be arranged in ascending or descending order.

Weight of bag with green apples = 4.75 pounds

Weight of bag with red apples = 4.54 pounds

Since the bag with green apples weighs heavier and contains more apples overall, Marie should purchase it because it will make her pie taste better.

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Based on the interval, the average rate of change of the function is 4.0

The graph that completes the question is added as an attachment

From the graph, we can see  that the equation of the graph is a quadratic equation

Also, from the question:

We have the interval to be:

The interval is given as

x = -4 to x = 2

This can be represented as

(a, b) = (-4, 2)

From the attached graph, we have

f(-4) = 22

f(2) = -2

The estimate of the average rate of change f is calculated as(to one decimal place)

Rate = [f(b) - f(a)]/[b - a]

Substitute the known values in the above equation

This gives

Rate = [f(2) - f(-4)]/[2 + 4]

Substitute the known values in the above equation

So, we have

Rate = [-2 - 22]/[2 + 4]

Evaluate

Rate = -4.0

Hence, the estimate (to one decimal place) of the average rate of change of the graph is 4.0

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Answer:

1.) 12 yards (the one you selected is correct)

2.) 1.1 with the bar over the decimal (the one you selected is correct)

Step-by-step explanation:

1.) It looks like Aaron dropped back 5 yards from the line of scrimmage and threw to the 7 yard line for a total of 12 yards.

2.) If you enter 10 divided by 9 into your calculator you will get back 1.11111111111111 that keeps repeating for how ever many digits your calculator can show.  We write this as 1.1 with the bar over the decimal.

Answer: 0.007

Step-by-step explanation: 70 x 10^-4= 0.0001

70 x 0.0001

7 x 0.001

0.007

Hope this helps!

The standard notation of 7 x [tex]10^{-4}[/tex] is 0.0007.

The given expression is;

7 x [tex]10^{-4}[/tex]

To write 7 x [tex]10^{-4}[/tex] in standard notation,

When multiplying an integer by a power of ten, the decimal point is moved to the right or left by the number of zeroes in the exponent.

So, for7 x [tex]10^{-4}[/tex],

Move the decimal point 4 places to the left.

Starting with 7, Move the decimal point 1 place to the left to get 0.7.

Move it another 3 places to the left to get 0.0007.

Therefore,

7 x [tex]10^{-4}[/tex] in standard notation is 0.0007.

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The multiplication of the value of 1305 by 81 will give a value of 105705.

It should be noted that the information given simply means the multiplication of the numbers that are given. This is quite easy and straightforward.

In this case, it should be noted that 1305 × 81 will give a value thus:

= 1305 × 81

= 105705

The value of 105705.

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Answer:

y=mx+b, where x and y are variables, m is the slope, and b is the y-int

Since there is no m value, it is 1/1 or simply 1. Therefore you rise 1 point for every 1 you move right.

Your graph needs to intercept the y-axis at point (0,6).

The easiest way to graph this equation is to plot a point at (0,6) and then start your slope of 1/1.

I have attached an image of the graph.

Hope that helps.

Answer:

Let width of rectangle be x cm.

Width = x cm

Length = 4x cm

Area of rectangle = length x width

4x × x = 144

4x² = 144

x² = 144 ÷ 4 = 36

x = √36 = 6

Width = 6 cm

Length = 6 × 4 = 24cm

Perimeter = 6 + 24 + 6 + 24 = 60 cm

The measure of the angle is 1.0 when rounded to one decimal places.

If one of the triangle's angles is 90 degrees, the triangle is said to have right angles. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle. In addition, the right triangles are categorized as isosceles right triangles and scalene right triangles based on the other angle values. Pythagorean triples are another name for the right triangle's side lengths, which include 3, 4, and 5.

Given that : right triangle, we're provided the hypotenuse and the leg next to. We can use the cosine ratio to determine :

Cosθ =[tex]\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information

Cosθ =[tex]\frac{4}{7}[/tex]

Use the inverse cosine ratio

θ = [tex]cos^{-1} \frac{4}{7}[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

θ =0.9626

Therefore, θ = 1.0 when rounded to one decimal places.

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Answer:

  c.  3

Step-by-step explanation:

You want to know the limit of the composite function f(f(x)) as x approaches zero.

The function f(x) can be evaluated at x=0. The graph shows the value to be ...

  f(0) = 2

The function f(x) can also be evaluated at x=2. The graph shows the value to be ...

  f(2) ≈ 3

The nearest value to f(f(0)) is 3.

__

Additional comment

For a continuous function, the limit at a point is simply the value at that point. F(x) is continuous in the neighborhoods of the points of interest, so we simply need to find the function value.

For the frequency table for a random sample answer of the following are given below:

A. Complete frequency table:

                                      On Time                 Delayed                           Total

Domestic                      324                           94                                     418

International                 73                                 51                                    124

Total                              397                           145                                   542

B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.

C. Domestic flight has highest number of on time flight. It is positive.

As given,

From the random sample of the survey of  joint relative frequency table.

                                      On Time                 Delayed                           Total

Domestic                          ?                               94                                     418

International                 73                                 ?                                        ?

Total                               ?                                 145                                      ?

A. Domestic on time  = 418 -94

                                   =324

International delayed =145 -94

                                   =51

On time total =324 + 73

                     =397

International total =73+ 51

                              =124

Total = 418 + 124

         =542

         =397 +145

B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.

C. Domestic flight has highest number of on time flight. It is positive as on time flights are more than the delayed.

Therefore, For the frequency table for a random sample answer of the following are given below:

A. Complete frequency table:

                                      On Time                 Delayed                           Total

Domestic                       324                           94                                     418

International                 73                                 51                                    124

Total                              397                            145                                   542

B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.

C. Domestic flight has highest number of on time flight. It is positive.

The complete question is:

A random sample of individuals at an airport were asked, "Is your flight on time or delayed?" Below are the results of the survey in a joint relative frequency table.

                                       On Time                 Delayed                           Total

Domestic                          ?                               94                                     418

International                 73                                 ?                                        ?

Total                               ?                                 145                                      ?

Part A: Draw and complete the frequency table. (3 points)

Part B: What is the smallest joint frequency, and what does it represent in the context? (3 points)

Part C: Does the data show an association between the flight being on time and flying domestic? If so, is it positive or negative? Justify your answer mathematically. (4 points)

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Answer:

Step-by-step explanation:

Be sure to contact your instructor if you have questions. :)

Step-by-step explanation:

collect like terms

[tex]5x - x - 6y + 3y \\ 4x - 3y [/tex]

If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, bargraph, pie chart, one way table would be appropriate to use.

Gross national product (GNP), calculated without taking into account the depreciation or consumption of capital utilized in the manufacturing process, is the total market value of the final goods and services generated by a country's economy during a given time period (often a year).

The value of the final domestic goods and services generated inside a country's boundaries is known as the gross domestic product (GDP).

The value of all the finished goods and services that are owned by a nation's citizens, regardless of whether those kinds of goods were made in that nation, is what is known as its gross national product (GNP).

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Create an In-Out table with your findings. Make a table with the number of bagels she has when she gets home as the In and the number she had to start with as the Out.

Try several numbers for the number she has when she arrives home to explore this expansion, such as 3, 4, 5, or even 0. You should presume that, other from this number, everything in the problem is the same as it was in the original problem.

Create an In-Out table with your findings. Make a table with the number of bagels she has when she gets home as the In and the number she had to start with as the Out. Once you've added numerous entries to the table, search for a connection between the Out and the In before attempting to identify a rule that can explain this connection.

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The rate is given by

and since the one-time charge is $0.25, the expression is

where n denotes the number of days. Then, the answer is the second option