You want to invest some money. You do some research and find that 2
different financial institutions are suited to your investment needs.
Bank A offers an interest rate of 8.8% compounded quarterly.
Bank B offers an interest rate of 9.0% compounded annually.
Apply mathematic reasoning to state which bank will give you a better
return for your money.

Following are the required perfect squares of each of the following.

A square number, sometimes known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 32 and is represented by the symbols 3×3.

Use perfect squares to find two consecutive integers to complete each inequality -

1. ? < √13 < ?

⇒ 9 < 13 < 16

⇒ 3 < √13 < 4

2.   ? < √78 < ?

⇒  64 < 78 < 81

⇒  8 < √78 < 9

3.  ? <√181 < ?

⇒ 169 < 181 < 196

⇒ 13 < √181 < 14

Comparing values -

Arranging from least to greatest -

9/2 < √10 < 22/7 < 5/3

5 2/5 < 5.3 < 3√3 < √25

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The linear equation best estimate of the difference between the number of yellow and blue paper clips is option(b).

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables.

Number of yellow paper clips found in one box = 27955

Number of blue paper clips found in another box = 9427

We are asked to find the best estimate of the difference in the number of yellow and blue paper clips that Kimberly found.

The actual difference between the number of yellow and blue paper clips = 27955 - 9427 = 18528

An estimate of a number means the closest number that the actual number can be rounded off for simplifying calculations or understanding.

In this case, from the given options the closest number of 18528 is 19000.

Therefore option(b) is the best estimate of the difference between yellow and blue paper clips.

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The first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8 .

Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.

given

Decide on your sample size and multiply your population by your chosen sample size to find your interval, k.

the first sample's index and K (interval) value, which are both equal to 7 - 2 = 5, the 10th sample's index is 25 because 33 - 8

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The new coordinates of the triangle after the dilation by a factor of 2 would be (4,-6), (4, -12), (8,-6)

What is Dilation?

Dilation is a process for creating similar figures by changing the size.

A dilation by a factor of 2 means that each coordinate value will be multiplied by 2.

So the new coordinates of the point (2, -3) would be (2 x 2, -3 x 2) = (4, -6)

The new coordinates of the point (2, -6) would be (2 x 2, -6 x 2) = (4, -12)

The new coordinates of the point (4, -3) would be (4 x 2, -3 x 2) = (8, -6)

Thus, the new coordinates of the triangle would be (4,-6), (4, -12), (8,-6).

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A. The confidence interval estimate of the expected value of y will be wider than the prediction interval is correct.

A confidence interval gives an estimated range of a population parameter based on a sample. It is calculated by taking a sample of the population and using statistical methods to estimate the range in which the true population parameter would fall, with a certain level of confidence.

On the other hand, a prediction interval gives an estimated range of a future observation based on a sample. It is calculated by taking a sample of the population and using statistical methods to estimate the range in which a future observation would fall, with a certain level of confidence.

Since a prediction interval includes the uncertainty of an unobserved future value, it will typically be wider than the confidence interval estimate of the expected value of y which is based on the sample and the estimation of the population parameter.

Therefore Option A is the correct answer.

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Graph B is a function because each value of x corresponds to exactly one y-value.

What is the graph of a function?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function is a special case of the graph of an equation.

Using the function concept, it is found that:

Graph B is a function because each value of x corresponds to exactly one y-value.

In a function, one value of the input can be related to only one value of the output.

In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).

In this problem, at Graph A, when x = 5, for example, a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

In Graph B, for each value of x, there is only one value of y, hence it is a function.

Hence, Graph B is a function because each value of x corresponds to exactly one y-value.

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Note: The complete question is in the attached image.

1. Proportional to Mikel's tip.

2. Not proportional to Mikel's tip.

3. Proportional to Mikel's tip.

What is a proportion?

A proportion is an equation that states that two ratios are equal. In other words, it is a statement that says two fractions are equivalent. The most common way to write a proportion is in the form of "a/b = c/d".

We are told that Mikel gave a $1.32 tip for an order that cost $8.80. We are asked to determine whether or not each given tip is proportional to Mikel's tip.  

Let us compare our given tip and order cost proportions with Mikel given tip and order cost proportion.

1) 1.32/8.80 = 2.22/14.80

   0.15 = 0.15

We can see that our given proportion is equal to Mikel's proportion, therefore, the tip given in the first option is proportional to Mikel's tip.

2) 1.32/8.80 = 1.86/10.50

   0.15 ≠0.177

We can see that tip given in the second option is greater than Mikel's tip, therefore, it is not proportional to Mikel's tip.

3) 1.32/8.80 = 0.78/5.20

   0.15 = 0.15

We can see that our both proportions are equal, therefore, a tip given in the third option is proportional to Mikel's tip.

Hence,

1. Proportional to Mikel's tip.

2. Not proportional to Mikel's tip.

3. Proportional to Mikel's tip.

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Answer:

4

Step-by-step explanation:

the difference between 76 and 52 is 24

and the difference between 52 and 28 is 24

the difference between 28 and 24 is 4

Step-by-step explanation:

this is a college level question ? elementary school students must be able to solve this.

the perimeter of a rectangle is

2×length + 2×width

as when you walk around a rectangle one full time, you have to walk the long side twice and the short side twice - it has 4 sides, you know.

other words for length : base, ...

other words for width : height, breadth, ...

so, we know

56 = 2×12 + 2×base = 24 + 2×base

now we can make it totally simple right away and divide everything by 2

28 = 12 + base

16 = base

the base (or length) is 16 cm.

Answer: 39.5

Step-by-step explanation: 47.5 + 93 = 140.5

180 - 140.5 = 39.5

I HOPE YOU TURN IT IN BEFORE THE DUE DATE !! GOOD LUCK!

Haley lives with her sister Emily, and together they care for their parents' home, who have been traveling the world for the past two years.

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Answer:

49/300 or 0.163 recurring

Step-by-step explanation:

7x21=147

147/900=49/300=0.1633333

Answer:

0.2% apples & 0.1 oranges resp

Answer:

Step-by-step explanation:

The flat cost of Jim's Auto Shop is $15 dollars.

The flat cost of Danny's Wrecker Services is $10.

The per-mile cost for Jim's Auto Shop is .50

The per-mile cost for Danny's Wrecker Services is .75

Let's say that your vehicle needs to be towed for x number of miles.

15

The equation for the total cost would be:

flat cost x (per-mile cost × number of miles)

_____________________________________________________

Just use the above equation and substitute it with the information given to you in your question. Hopefully, this helps. If you need further help, please elaborate on your question and comment.

The total cost would be equal to ;75 dolar.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that the flat cost of Jim's Auto Shop is $15 dollars.

The flat cost of Danny's Wrecker Services = $10.

The per-mile cost for Jim's Auto Shop = 0.50

The per-mile cost for Danny's Wrecker Services = 0.75

Let's say that vehicle needs to be towed for x number of miles.

15

The equation for the total cost would be as;

flat cost x (per-mile cost × number of miles)

10 x 0.50 x 15

= 75

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Solving a linear equation we can see that the tank will be filled in 12 minutes.

We know that the fish tank has a volume of 30 gallons, and it already has 24 gallons of wate on it.

Sara is adding more water at a rate of 0.5 gallons per minute, so after x minutes, the volume of water on the tank is modeled by the linear equation:

V(x) = 24gal + 0.5gal*x

The tank will be full when the volume is equal to 30 gallons, then we can solve the equation:

30 gal = 24 gal + 0.5gal*x

30 gal - 24gal = 0.5gal*x

6 gal = 0.5gal*x

6gal/0.5gal = x

12 = x

The tank will be full after 12 minutes.

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Answer:

a)  D [y = 6x + 7]

Step-by-step explanation:

First, subtract 6x from both sides to isolate the -y by itself.

6x - y = -7 becomes

-y = -6x -7

Next, to get it into slope-intercept form, we must make the y positive.

To do this, we must multiply both sides of the equation by -1

The equation now becomes:

y = 6x + 7 [Giving us our final answer in y=mx+b form]
-------------------------------------------------------------------------------------------------------------

b) A [6]

The reason the slope is 6 is because in slope-intercept form, the coefficient in front of the x is the slope. That number is 6, as seen above, meaning that the slope is 6.

Hope this helped!

48 and 24 are the numbers that the ratio equivalent to 16:8. Its simplified form would 2:1 or simply 2.

By dividing two quantities of the same type, we can compare them. This process is known as a ratio. How many times one quantity is equal to the other is revealed by this relationship. The ratio is the number that can be used to represent one quantity as a percentage of another, to put it simply.

A ratio's two numbers can only be compared if they share the same unit. To compare two things, we use ratios. The ratio sign is represented by the letter ":".

To Find the number that makes the ratio equivalent to 16:8

Simply multiply any number with both 16 and 8 i.e.

16 × 3 = 48

8 × 3 = 24

When you simplify them you get 16:8,

Thus, 48 and 24 are the numbers that the ratio equivalent to 16:8.

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Answer:

No -- histograms are generally divided into range groups, as seen in this graph, and we therefore cannot separate the cars who got 20 mpg relative to cars who got, for example, 21 mpg

Answer: 70 cars.

Step-by-step explanation: At 0 - 5 miles per gallon there are 0 cars. At 5 - 10 miles per gallon there are 15 cars. At 10 - 15 miles per gallon there are 20 cars. At 15 - 20 miles per gallon there are 35 cars. So the total cars at 0 - 20 miles per gallon = 0 + 15 + 20 + 35 70 cars.

The percentage under the density curve where x is more than 3 is given as follows:

100%.

A percentage under the density curve is obtained by the area under the density curve that respects the given features.

The area for which x is more than 3 is composed by all the area of the density curve that is to the right of 3.

The area to the right of 3 is composed as follows:

The area of a right triangle is given by half the multiplication of the sides, hence:

At = 0.5 x 1 x 0.4 = 0.2 units squared.

The area of a rectangle is given by the multiplication of dimensions, hence:

Ar = 2 x 0.8 = 0.8 units squared.

Meaning that the total area is given as follows:

A = At + Ar

A = 0.2 + 0.8

A = 1 unit squared.

Meaning that the percentage is of 1 x 100% = 100%.

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Answer: Divide the integer by 9 to equal 3/4

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:b

Step-by-step explanation:

As Theresa write a 3,000-word article in 2 hours, her rate of payment dollars per hour is $45 per hour. The Option C is correct.

The payment rate relates to the amount of money paid to someone or the act of paying this money. The rate of pay of an employee is the amount of money they are paid over a period of time. Some employees who work more than 40 hours per week may be eligible for $30per hour.

Data

She is paid 3 cents per word

For 3,000-word article, she will be paid:

= 3,000 * 3

= 9,000 cent or $90.

Because it will take her 2 hours to write 3,000-word article, then, her her rate of payment dollars per hour equals to $45 ($90 / 2 hours).

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The inverse of the function, f⁻¹(x), if f(x) = [tex]\dfrac{x + 1}{x - 2}[/tex] is the option;

Mathematically, the inverse is; [tex]f^{-1}(x) = \dfrac{2\cdot x + 1}{x - 1}[/tex]

The inverse of a function is another function that undoes the operations of another function, such that when the output of the function is the input of the inverse function, the input of the function is obtained.

The specified function is presented as follows;

f(x) = (x + 1)/(x - 2) and x ≠ 2

The inverse of the above function is found as follows;

Let y represent f(x);

y = (x + 1)/(x - 2)

x·y - 2·y = x + 1

x·y - x = 1 + 2·y

x·(y - 1) = 1 + 2·y

x = (1 + 2·y)/(y - 1) = (2·y + 1)/(y - 1)

Plugging in y = x, and x = f⁻¹(x), we get;

f⁻¹(x) = (2·x + 1)/(x - 1)

[tex]f^{-1}(x) = \dfrac{2\cdot x + 1}{x - 1}[/tex]

The correct option is therefore;

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Answer: 10 in just squash, 7 in just onions, Intersection is 4, Union is 21

Step-by-step explanation: 10 are by themselves in the squash circle. 7 are alone in onion circle. Intersection is where the circles cross and Union is all of them.

The required table represents a two-column table for the given data is,
 x        y

30      45
45     67.5
50      75

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Tamara read 30 pages in 45 minutes.

Tamara read 45 pages in 67.5 minutes.

Tamara read 50 pages in 75 minutes.

The table form of the above data is given as
let x be the time. y be the number of pages

Table,
 x        y

30      45
45     67.5
50      75

Thus,  the required table is shown above.

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The best deal that Holly can choose, would be Store A.

The best deal that Holly can get from the various stores would be the deals that leads to a lower price per yard.

The store with the best deal would therefore be:

Store A :

= Cost of yards / Number of yards

= 16. 52 / 6

= $ 2.75 per yard

Store B :

= 13. 85 / 5

= $ 2.77

The cheaper store is therefore Store A.

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The deals are:

$16.52 per 6 yd

$13.85 per 5 yd

Answer:

the fourth one

Step-by-step explanation:

3x2x2 = 12

Answer:Last one,

Step-by-step explanation:

it equals 12, making it the only one that works.