Dakota earned $15.75 in interest in Account A and $28.00 in interest in
Account B after 21 months. If the simple interest rate is 3.0% for Account A
and 4.0% for Account B, which account had the greater principal? Explain.

Answer:

221

Step-by-step explanation:

5 is the first term, then:

5 + 16 = 21

22 is the last term

5 + 21 = 26

6 + 20 = 26

7 + 19 = 26

.....

.....

12 + 14 = 26

and

13

There are 8 sum of 26 each and 13

Then:

8*26 + 13 = 221

Since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.Since a square number is a number multiplied by itself, 1 is likewise a square number.

Four of its sides are equal in length, making a square a two-dimensional shape. A square has four right angles and opposing sides that are parallel to one another. Some examples of square-shaped objects in daily life include paper napkins, chess boards, cheese slices, floor tiles, and so forth.

here

When you multiply any integer by itself,

the answer is a square number.

Let's multiply one by itself as an example: 1 * 1 = 1

so since 1 is a square of 1, or square of 1, we receive a new number when we multiply 1 by 1.

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Answer:

There are 6 types of quadrilaterals

Step-by-step explanation:

6 types are: Parallelogram, Trapezium, Rhombus, Rectangle, Square, Kite

Answer:

5/6 = 0.83

multiply the decimal by 100 to get the answer in percentage = 83%

83% is what they made

100 - 83 = 17% this is what he missed

Answer:

adfftep explanation:

ADFWAD

The direct proportion means that two numbers increase or decrease together and in the same ratio and the inverse proportion means that if one number increases the other decreases and vice versa.

Direct Proportion: Two numbers or quantities are said to be in direct proportion if they increase or decrease together in the same ratio.

If a and b are in direct proportion, they can be written as

a ∝ b

Inverse Proportion: Two numbers or quantities are said to be in inverse proportion if one increases when the other decreases and vice versa.

If a and b are in inverse proportion, they can be written as

a ∝ 1 / b

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To find the volume of a pyramid we need to multiply the area of its base by the length of its height and divide it by by three. This is why we divide the pyramid so as to obtain the desired result.

Formula to calculate the volume is ,

1/3 ( base area x height )

The base of a square pyramid is a square and the area of a square is found by the formula , side x side .

In order to identify a square pyramid we check for its base . If the apex of the pyramid is perpendicular to the center of the square, then it is a right square pyramid.

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The figure's circumference, as seen in the diagram, is 60.84 m.

What are some instances of perimeters?

The perimeter of an object is the space surrounding it. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.

The formula below is used to determine the figure's perimeter.

Formula:

Equation 1: P = 2L + W + W / Equation 1:

P = The figure's perimeter

L is the figure's length.

W is the figure's width.

Considering the query,

Given:

L = 15 m\sW = 12 m\sπ = 3.14

Replace the values in equation 1 with these ones.

P = (15×2)+12+(12×3.14/2)

P = 30+12+18.84

P = 60.84 m

As a result, the figure's perimeter is 60.84 meters.

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The price of the letter with the given weights are;

a) 1 ounce = $0.5

1.1 ounces = $1.1

0.9 ounces = $0.5

b) At a cost of $0.92 , weight is 3 ounces

A piecewise function is defined using different expressions for different intervals in its' domain.

Now, from the graph, we see two line end points. One that is shaded circle and one that is not shaded circle but we will make use of the shaded one because it implies that is the output.

a) At one ounce, we can trace on the graph that the postage price is $0,5.

At 1.1 ounces, we can trace on the graph that the postage price is approximately $0.71

At 0.9 ounces, we can trace on the graph that the postage price is approximately $0.50

b) At a cost of $0.92 to mail, the weight must be more than 2 ounces but less than or equal to 3 ounces.

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Ways to find the perpendicular line of a linear equation are by solving for y, convert the equation of the given line into slope-intercept form.

A straight line that forms a 90° angle with another line is said to be perpendicular. A small square is placed between two perpendicular lines, as seen in the illustration, to indicate a right angle, also known as a 90° angle. The two lines in this instance are considered to be perpendicular to one another because they intersect at a straight angle.

Given

Ways to find the perpendicular line of a linear equation are,

First, by solving for y, convert the equation of the given line into slope-intercept form.

You obtain y = -2x + 5, indicating a -2 slope. Since the slopes of perpendicular lines are opposite-reciprocal, the slope of the line we're looking for is 1/2.

By entering the supplied point into the formula y = 1/2x + b and solving for b, we arrive at the value b = 6.

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The value of θ or the measurement m∠B of  is 69°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

The hypotenuse of △ABC is AB = 14.

The base of △ABC is AC = 5.

The cosine is a trigonometry ratio and cosine of an angle is ratio of base to hypotenuse.

cos θ = Base/ hypotenuse

Putting Base =5 and hypotenuse = 14

cos θ = 5/14

Taking inverse of cosine on both sides:

θ = cos⁻¹(5/14)

θ = 69.0

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C- is the probability distribution showing all possible values of the sample mean. D- p approaches 0.5

The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.

Thus, the correct answer is C

The term "standard error" refers to the sampling standard deviation of the sample statistic or sample proportion. The population percentage can be accurately estimated using the sample proportion.

Thus, the correct answer is D

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The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.

chi-square test statistic is statistically significant.

What is Test Statistic?

A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

To determine whether the amount of television a person watches is related to their liking for bourbon whisky, the researcher could use a chi-square test of independence.

The chi-square test is a statistical test that is used to determine whether there is a significant association between two categorical variables.

In this case, the two variables of interest are television watching (more or less than 2 hours per day) and liking for bourbon whisky (measured using a Likert scale).

The chi-square test statistic is calculated based on the observed frequencies of each combination of television watching and liking for bourbon whisky, and it is used to determine whether the observed frequencies are significantly different from the frequencies that would be expected if the two variables were independent.

If the chi-square test statistic is statistically significant, it indicates that there is a significant association between the two variables, and the researcher can conclude that television watching is related to liking for bourbon whisky.

Hence, chi-square test statistic is statistically significant.

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Answer:

he correct answer is D: all real numbers and R: y ≥ 1.

Step-by-step explanation:

The value of 3 √ 4 √ x is 48

A number's square root is a value that, when multiplied by itself, yields the original number. The other way to square an integer is to find its square root. Squares and square roots are hence related concepts.

Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

As per the question, 3 √ 4 √ x when x =4096

first we need to calculate square root of 4096 by  prime factorisation method

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 2 × 2 × 2 × 2 × 2 × 2

√4096 = 64

Therefore the square root of 4096 = 64.

x=64

now putting the value of x in  3 √ 4 √ x

= 3 √ 4 √ 64

= 3 √  256

=3×16

=48

so the value of 3 √ 4 √ x  is 48

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Assuming that x is the square root of y, the equation would be written as x=y or as x2 = y. The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.

4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4096 = (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2)

√4096 = √((2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2) × (2 × 2))

√4096 = 64

x=64

= 3 as 4 as 64

= 3 as  256

=3×16

=48

Answer:

width = 8 inches

Step-by-step explanation:

⭐ What is the formula for the perimeter of a rectangle?

We are given that the length is 14 inches longer than the width, and the perimeter of the rectangle is 60 inches.

So, let's substitute these values into the perimeter formula and solve for the width. Let w = width.

[tex]60 = 2(14 + w) + 2(w)[/tex]  Multiply the 2 into the parentheses

[tex]60 = 28 + 2w + 2w[/tex]       Add like terms (terms with the same variable)

[tex]60 = 28 + 4w[/tex]                Subtract 28 on both sides

[tex]32 = 4w[/tex]                        Divide both sides by 4 to isolate the variable

[tex]8 = w[/tex]

∴ The width is 8 inches.

The work out fraction that is halfway between 0 and 3/4 is 1/2

In math, what are fractions?

A fraction is a part of the whole. In a quotient, where the numerator and denominator are divided, the number is mathematically expressed. In a straightforward fraction, both are integers. A complicated fraction has a fraction in either the numerator or denominator. In a correct fraction, the numerator is smaller than the denominator.

What seven types of fractions are there?

Proper fractions, improper fractions, mixed fractions, like fractions, unit fractions, equivalent fractions, and same numerator fractions are the seven different types of fractions.

A midway fraction is defined.

Halfway of Two Fractions is what? Exactly halfway between 2/3 and 3/4, a fraction cannot be smaller than 2/3 or larger than 3/4. Nothing is halfway but the average of two fractions.

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The sum of the interior angle measures of the given polygon will be equal to  360°.

A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines.

Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.

As per the given information in the question,

Use the formula of the sum of an interior angle of the polygon,

180(n - 2)     (i)

Here, n is the number of sides.

As per the given figure, n = 4

Put n = 4 in equation (i)

180 (4 - 2)

180 (2)

= 360°

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A triangle's base and height are perpendicular to one other. In the same manner, if we know the triangle's area and height, we can calculate the triangle's base; conversely, if we know the triangle's area and base, we can calculate the triangle's height.

A triangle's height is always one of the triangle's sides. Drawn at an acute angle to the base must be a height that matches to the base. It is necessary to draw a height at a right angle to the base that matches to the base. Once we select a base, the associated height is represented by just one section.

A=1/2 x b x h

2A/h=b

or 2A/b=h

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Note the question could be as follow,

What is the relationship between the base and height of triangle?

If you write everything down, you can get 0,1,2,3 or 4 heads. The probabilities are: 1/16, 4/16, 6/16, 4/16, and 1/16. Notice, the probabilities add up to 16/16 = 1. You toss 4 fair coins.

What is probabilities?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

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Observing the polynomial and the coefficient provided, The leading coefficient of the polynomial function is the coefficient of the highest degree term.

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

The term with the greatest x power is the leading term in a polynomial function. The leading coefficient is the coefficient of the leading phrase.

polynomial of the form [tex]ax^{2}+bx+c[/tex].

Since, The degree is 2 and the coefficient of [tex]x^{2}[/tex] is a.

The leading coefficient is 'a'.

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Multiply the numerator and denominator by the conjugate.

Exact Form:

−10−5√3

Decimal Form:

−18.66025403...

According to the value of scale factor, we have to prove that the two shapes are similar.

The term shape in math is defined as the object that the form of an object or its outline, outer boundary or outer surface.

Here we have to find the way to prove two shapes are similar.

Here we have given that there are two shapes are given, in order to prove that those two shapes are similar, we must consider that the two shapes are considered to be "similar figures" if they have the same shape, congruent corresponding angles which means the angles in the same places of each shape are the same and equal scale factors.

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Answer:

-4, 0.046, 1/10, 0.46, 4/6

Step-by-step explanation:

First, we know that -4 is the least because it is a negative number.

Next, we need to convert the fractions to decimals. 1/10 is 0.1, and 4/6 is 0.66.

Then, we order the decimals.

0.046 is the next smallest, because it is a hundredth, and the remaining decimals are tenths and therefore greater.

We compare the remaining decimals, which are 0.10, 0.46, and 0.66. These are easy to compare and order.

Now, we've compared and ordered all the numbers. We can convert the fractions back into their original form.

The number of units x that produces a maximum revenue with the expression given is x = 0.

To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.

The derivative of the function R with respect to x is:

R'(x) = 342x - 0.18x²

Setting this equal to 0, we get:

342x - 0.18x² = 0

Solving for x, we find that x = 0 or x = 1900.

However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.

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Answer:

The value of x is 20

Step-by-step explanation:

This question has to do with an equation. The information is given thus:

8/x = 12/30

Cross multiply

12x = 30 × 8

12x = 240

Divide

x = 240 / 12

x = 20

Answer:

PROPORTION:

13:6 = x/27

6x = 27(13)

6x = 351

x = 58.5

Therefore, cucumber salad need 58.5 cups of tomatoes to make 27 servings.

Step-by-step explanation:

An example of geometric term is ar².

When a set of numbers follow a particular order, they are said to be in sequence.

A set of numbers are said to be in geometric sequence if the ratio between second and first term is same as the ratio between third and second term and so on. The geometric sequence is presented as

Geometric Sequence = a, ar, ar², ar³,  ......, arⁿ⁻¹, arⁿ.

where,

The first term is a.

Every two consecutive terms, r is the common ratio.

The number of terms is n.

Let us take an example.

The numbers 2, 6, 18, 54 are in geometric sequence because 6:2 = 18:6 = 54:18 and when we will write it as 2 + 6 + 18 + 54, it will become a geometric series and 2, 6, 18, 54 are geometric terms.

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Answer:

Step-by-step explanation: