Samuel invested money in his bank account. he had a principal, p, of $100 in his account at the beginning of the period, which increased at a rate, r, of 0.15 per year. at the end of the period, he had interest, i, of $105 in his account. use the simple interest formula i = prt, to solve for the time, t, in months that it took to earn this amount. (1 point) 7 months 58 months 84 months 700 months

Using the domain and range concepts, we have that:

Hence, considering the given graph:

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A disadvantage of debt consolidation is you can pay more money in the long term.

Debt consolidation is when a person takes out a new loan in order to pay off an existing loan. Debt consolidation increases the money you pay in the long term because you would still have to pay for the new debt incurred.

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Answer:

B

Step-by-step explanation:

In order the angles <C and <F are shared, then <B and <E, then the side equaling 10. This together proves that this triangle is congruent because of AAS (angle,angle,side) a triangle congruency rule.

Answer: C

Step-by-step explanation:

[tex]y=-2[/tex] is dotted and shaded below, so it represents [tex]y < -2[/tex].

Also, [tex]x+y=1[/tex] is shaded above, so it represents [tex]x+y < 1[/tex].

The complete factor of the given expression is 2x(x-2y)(x+5)

Given the following expression shown below

2x^3 + 10x^2 − 4x^2y − 20xy

Factor out the GCF

2x^2(x+5)-4xy(x+5)

Group

(2x^2-4xy)(x +5)

2x(x-2y)(x+5)

Hence the complete factor of the given expression is 2x(x-2y)(x+5)

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Answer:

Four units left and one unit up.

Step-by-step explanation
Adding -4 to each x-coordinate shifts the figure to the left 4 units.

Adding +1 to each y-coordinate shifts the figure up 1 unit.

The figure is moved ...

 four units left and one unit up

Answer:

2nd option

Step-by-step explanation:

x-4 = 4 left

y+1 = 1 up

2nd option

Answer: Option 2 or B. AAS

Step-by-step explanation:  B. AAS

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When two angles and the non-included side of one triangle are congruent to other triangle the by AAS congruency they are congruent. Therefore, option B is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

AAS, two angles and one side of a triangle are equal to two angles and one side of another triangle then they are congruent.

Therefore, option B is the correct answer.

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The solutions by suitable arrangement are:

a)4x2984x250

By suitable arrangement, we would arrange this as

(4 x 250) x 2984

= (1000 * 2984)

= 2,984,000

b. b) 495+114+205

By suitable arrangement we would have:

(495 + 205) + 114

= 814

c. The factors of 13965 are all of the numbers that can divide this number.

They are: 1, 3, 5, 7, 15, 19, 21, 35, 49, 57, 95, 105, 133, 147, 245, 285, 399, 665, 735, 931, 1995, 2793, 4655, and 13965

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Answer:

Generally x means times so the best and not dummest option is 2 times

2x and 2 x is the same the 2 x is spaced out a little

Step-by-step explanation:

Answer:

5/4 is the correct answer for this question

The answers are D.)3, B.) Values were not subtracted from each side, and A.) The substitution property of equality

A straight line is a combination of endless points joined on both sides of the point.

We have;

UX=WZ

VW=XY

In line 3 the statement does not justify.

Because values were not subtracted from each side.

The reason should be substitution property of equality.

Thus, the answers are D.)3, B.) Values were not subtracted from each side, and A.) The substitution property of equality

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Answer:

I just got it right on the test

Step-by-step explanation:

The y-intercept = 127 and the slope = -10

The function is given as:

y = 127 - 10x

A linear function is represented as:

y = c + mx

Where

c = the y-intercept

m = slope

This means that:

y-intercept = 127

slope = -10

The y-intercept implies that, the initial amount of water is 127 ounces and the slope implies that the water leaks by 10 ounces per minute

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Complete question

The amount of water in a leaky bucket is given by the linear function y = 127 - 10x, where y is in ounces and x is in minutes. Find and interpret the slope and y-intercept of the linear equation.

Answer:

5c-9h

Step-by-step explanation:

1) 7c-4h-2c-5h

2) 5c-4h-5h

3) 5c-9h

Answer:

a₂₁ = 638

Step-by-step explanation:

substitute n = 21 into the explicit formula

a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638

The logarithmic form of  13² = 169 is ㏒₁₃ 169 = 2

Using the logarithmic rule , we have that

㏒ₙn = bⁿ

Given 13² = 169

It is important to  note that it can be written either in the logarithmic form or in the index form.

In this case, we have written in the index form as .

㏒₁₃ 169 = 2

Thus, the logarithmic form of  13² = 169 is ㏒₁₃ 169 = 2

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Answer:

(- 1, 1 )

Step-by-step explanation:

x + 5y = 4 → (1)

4x + 12y = 8 → (2)

multiplying (1) by - 4 and adding to (2) will eliminate x

- 4x - 20y = - 16 → (3)

add (2) and (3) term by term to eliminate x

0 - 8y = - 8

- 8y = - 8 ( divide both sides by - 8 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

x + 5(1) = 4

x + 5 = 4 ( subtract 5 from both sides )

x = - 1

As a check

substitute these values into the left side of both equations and if equal to the right side then they are the solution.

- 1 + 5(1) = - 1 + 5 = 4 = right side

4(- 1) + 12(1) = - 4 + 12 = 8 = right side

(- 1, 1 ) is the solution to the system of equations

An expression is defined as a set of numbers, variables, and mathematical operations. The value of b for which the expression x² + bx + 18 can be factored is 9.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The value of b for which the given expression x² + bx + 18 can be factored is 9. This will make the expression factored as (x+3) and (x+6).

Thus, the value of b for which the expression x² + bx + 18 can be factored is 9.

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The step you would take to evaluate an expression is to follow the order of operation

Expressions are mathematical statements that involve variables, terms, coefficients and mathematical operators

Different expressions require different ways of solving

However, the general guide is that the order of operation must be followed

The order of operation is represented by the acronym BEDMAS

Which means

Bracket

Exponent

Division

Multiplication

Addition

Subtraction

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Answer:

you would get about 6:20 of sleep

you would have gotten at least 6 hours of sleep and 20 mins

Step-by-step explanation:

Answer:

Step-by-step explanation:

ur mother

The statistical goal of multiple regression analysis is to build a linear equation model that identifies the optimal weighted linear combination of independent variables in the study in order to optimally predict the reference variable.

Regression analysis is usually performed for one of two purposes. Predicting the value of the dependent variable of a person whose information about the explanatory variable is available, or estimating the effect of the explanatory variable on the dependent variable.

In multiple regression analysis, researchers can determine the strength of the relationship between the outcome (dependent variable) and multiple predictors, and the importance of each predictor in the relationship, often the effect of other predictors. It can be evaluated by statistically eliminating it.

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The equation of the perpendicular line as required is; y = 2x -3.

Since the line in discuss is perpendicular to the given line whose slope is; -1/2. It therefore follows that the slope of the line to be determined is;

m = -1/(-1/2) = 2.

The equation of the required line can therefore be written as;

2 = (y-7)/(x-2)

2x -4 = y -7

Hence, y = 2x -3 is the equation of the line.

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Answer:

C.

Step-by-step explanation:

This is substitution method in solving simulteanous equations.

given y = 4x + 1

we will substitute y into 2y = -x-1

[tex]2(4x + 1) = - x - 1 \\ 8x + 2 = - x - 1 \\ 8x + x + 2 = - 1 \\ 9x + 2 = - 1 \\ 9x = - 1 - 2 \\ 9x = - 3[/tex]

Therefore the answer is C.

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Substituting the equation given into another equation will produce another equation. But which one?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

[tex]\bf{2y=-x-1}[/tex] | substitute the required equation

[tex]\bf{2(4x+1)=-x-1}[/tex] | solve in terms of x

[tex]\bf{8x+2=-x-1}[/tex] | carry on solving

[tex]\bf{9x+2=-1}[/tex] | carry on solving

[tex]\bf{9x=-3[/tex]

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                 [tex]\bf{=The\;third\;option}[/tex]

[tex]\LARGE\boxed{\bf{aesthetics\not1\theta 1}}[/tex]

To plot more the points, we move up one and right two.

The ratios are given as:

(1, 0.5), (2, 1), and (5, 2.5)

Calculate the slope (m) using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{1 - 0.5}{2 - 1}[/tex]

Evaluate

[tex]m = \frac{0.5}{1}[/tex]

This gives

[tex]m = \frac{1}{2}[/tex]

The above means

Vertical : Horizontal = 1 : 2

This means a vertical movement of 1, followed by an horizontal movement of 1

Hence, to plot more the points, we move up one and right two.

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Complete question

Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points?

Answer:

20

Step-by-step explanation:

Rise over run

Answer:

m = 20

Step-by-step explanation:

Select a random sample of 35 unmarried and 15 married subjects

A researcher who wishes to study the effects of a prenatal breastfeeding education program on the length of time African-American inner-city women breastfeed infants learns that 70% of women in the target population are unmarried.

To achieve stratified random sampling in a sample of 50 subjects, the researcher will:

Select a random sample of 35 unmarried and 15 married subjects.

hence, Select a random sample of 35 unmarried and 15 married subjects.

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The proportion shows that the time taken to do the same job by Mrs. Squirrel is 6 hours.

From the information given, the ratios are:

Turtle / Squirrel = Squirrel / Pigeon

3/x = x/(1/48)

x² = 1/16

x = 1/4

The number of days will be:

= 1/4 × 24

= 6 hours.

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