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

Answers

Answer 1

The correct answer is 700 months .

What is simple interest?Simple interest is based on the principal amount of a loan or the first deposit in a savings account. Simple interest doesn't compound, which means a creditor will only pay interest on the principal amount and a borrower would never have to pay more interest on the previously accumulated interest.

Given,

         I = 105

         P = 100

            r = 0.15

Now use simple interest formula,

      [tex]S.I. = \frac{p * r* t}{100}[/tex]

105=100×(0.15)×(t)

Swap sides so t is on the left.

100 ×(0.15)×(t)=105

Divide both sides by 100.

0.15t=1.05

Divide both sides by 0.15

t=700

So, we see that it takes 700 months to earn this amount.

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Related Questions

Three equivalent ratios are shown on the graph

Answers

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

How to plot more the points?

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?

an=−2+32(n−1)

What is the 21st term of the sequence?

Answers

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

Answers

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

How to determine the y-intercept and the slope?

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.

What is the system of inequalities associated with the following graph?


A) {y>−2
{x+y≥1


B){y<−2
{x+y≥1


C){y<−2
{x+y<1

D){y< -2
{x+y> 1

Answers

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].

Write at least 1 full sentence explaining the steps you would take to evaluate an expression.

Answers

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

What are expressions?

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

How to determine the steps?

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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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:

Answers

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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6.Find by suitable rearrangement
a)4x2984x250
b) 495+114+205
factor of 13965

Answers

The solutions by suitable arrangement are:

2984000814

How to find the suitable arrangement

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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What is a disadvantage of debt consolidation?
OA. You can have payments that are lower.
B. You can spread payments over a longer time.
о C. You can have a lower interest rate.
о D. You can pay more money in the long term.

Answers

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

What is debt consolidation?


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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Can someone write me a paragraph proof for this problem

Answers

Answer:

Step-by-step explanation:

ur mother

is 2x 2 times or 2x mean 2 x or 1x+1x or 0x+2?

Answers

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:

Substituting the equation y = 4x + 1 into the equation 2y = -x – 1 will produce the equation ________.

a.)
7x = -3

b.)
7x = 1

c.)
9x = -3

d.)
9x = 1

Answers

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.

SOLVING

[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]

Briefly explain how multiple regression enhances the two primary purposes of regression analysis.

Answers

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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Find the equation of the line perpendicular to y = - 1/2 ⁢ x − 5 that passes through the point ( 2 , 7 ) . Write this line in slope-intercept form.

Answers

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

What is the equation of the perpendicular line?

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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A triangle is translated by using the rule (x,y) →(x-4.y+1). Which describes how the figure is moved?
O four units left and one unit down
O four units left and one unit up
O one unit right and four units down
O one unit right and four units up

Answers

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

For which value of b can the expression x2 + bx + 18 be factored?

Answers

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.

What is an Expression?

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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What else would need to be congruent to show that triangle ABC is congruent to DEF by AAS?

Answers

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.

Help me pleaseee!!! :(

Answers

B.
Slope = rise/run
4/-11

If I went to bed at around 1:20 AM, and woke up at 8 AM, around how many hours of sleep did I get?

Answers

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:

fully simplify 7c - 4h - 2c - 5h​

Answers

Answer:

5c-9h

Step-by-step explanation:

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

2) 5c-4h-5h

3) 5c-9h

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent?
SSS
AAS
SAS
HL

Answers

Answer: Option 2 or B. AAS

Step-by-step explanation:  B. AAS

Trust me!

If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.

If you found any of my answers helpful please like and subscribe I mean "heart", friend me and/or choose my answer as Brainliest. I would appreciate it!   Good luck everyone!  :)

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.

What is the congruence theorem?

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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PLEASE HELP, kinda forgot how to do it

Answers

Answer:

20

Step-by-step explanation:

Rise over run

Answer:

m = 20

Step-by-step explanation:

Solve the following linear system by elimination. Check your solution:
1. x + 5y =4
2. 4x + 12y = 8

Answers

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

Point X is the incenter of ΔABC.
Triangle A B C has point X as its incenter. Lines are drawn from the points of the triangle to point X. Lines are drawn from point X to the sides of the triangle to form right angles. Line segments X F, X G, and X E are formed.

If EX = 4z + 1, XF = 2z + 7, and mABC = 44°, find the following measures.

GX =

Answers

Not sure about this one, please show a picture of your problem!

NEED HELP ASAP!!
This graph shows the total number of patients seen by a doctor over the course of a 5-day workweek.

What are the domain and range of this relationship??

Answers

Using the domain and range concepts, we have that:

The domain is: {0, 1, 2, 3, 4, 5}.The range is: {0, 12, 24, 36, 48, 60}.

What are the domain and the range of a function?

The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x.The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y.

Hence, considering the given graph:

The domain is: {0, 1, 2, 3, 4, 5}.The range is: {0, 12, 24, 36, 48, 60}.

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What is the logarithmic form of 13² = 169?

Answers

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

How to determine the logarithmic form

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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Michell is making a sign for her sister's birthday. The sign says "HAPPY BIRTHDAY" in all capital letters. If each letter is 4/5 inches long estimate the length needed to spell out “HAPPY BIRTHDAY."
ps.also add 4/5 for the space between the two words..................... Thanks

Answers

Answer:

5/4 is the correct answer for this question


117 Mr. Turtle, Mrs. Squirrel and Ms. Pigeon work at the Magic Forest's post office. Mr. Turtle can
deliver a package from the Southern Glade to the Northern Glade in 3 days, while Ms. Pigeon can
deliver it in 30 minutes. How much time will the same job take Mrs. Squirrel, if the ratio of Mr.
Turtle's time to the Mrs. Squirrel's time is the same as the ratio of Mrs. Squirrel's time to Ms.
Pigeon's time?

Answers

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

How to calculate the value?

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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Can someone help me out on these geometry fill in the blanks questions? Just questions 2,3,4.. it’s urgent

Answers

2.) 3&4
3.) 1&3
4.) 2&4

PLEASE HELPPPP
An expression is shown below:
2x3 + 10x2 − 4x2y − 20xy
Part A: Re-write the expression by factoring out the GCF
Part B: Factor the entire expression completely
Show your work

Answers

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

Factoring of expression

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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Select the correct answer from each drop-down menu.
Given: UX=WZ VW=XY
Prove: UV=YZ
The reason in line __ does not justify the statement because ___. Instead, the reason should be ___.

OPTIONS:
1:
A.)4
B.)5
C.)6
D.)3

2:
A.) Values were not added to each side
B.) Values were not subtracted from each side
C.) More than two segments were added.

3:
A.) The substitution property of equality
B.) Segment addition
C.) Given

Answers

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

What is a straight line?

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:

Other Questions
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic Step 1 of 2: Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places. AnswerHow to Enter 2 Points Tables Keypad Keyboard Shortcuts An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2: Suppose a sample of 2676 new car buyers is drawn. Of those sampled, 642 preferred foreign over domestic cars. Using the data, construct the 98 % confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places, Answer low to Enter) 2 Points T Tables Keypad Keyboard Shortcuts Lower endpoint Upper endpoint: Read theexcerpt from Poe's "The Fall of the House of Usher."Shaking this off with a gasp and a struggle, I uplifted myself upon the pillows, and, peering earnestly withinthe intense darkness of the chamber, hearkened -- I know not why, except that an instinctive spirit promptedme -- to certain low and indefinite sounds which came, through the pauses of the storm, at long intervals, Iknew not whence. Overpowered by an intense sentiment of horror, unaccountable yet unendurable, I threw onmy clothes with haste.Which word from this excerpt could be used to argue that the narrator is unreliable? Shaking" suggests the narrator s nervousness.O "Struggle" suggests the narrator's weakness. "Indefinite" suggests the narrator's lack of knowledge. *Overpowered* suggests the narrator's lack of control. How do you solve the expression 1x + 4 8? Suppose the U.S. economy is producing at the natural rate of output. A depreciation of the U.S. dollar will cause ________ in real GDP in the short ru Each of the two models of short-run aggregate supply is based on some market imperfection. In the imperfect-information model, the imperfection is that: a. some firms do not adjust their prices instantly to changes in demand. b. contracts and arrangements may prevent nominal wages from adjusting rapidly to changing economic conditions. c. firms confuse changes in the overall level of prices with changes in relative prices. d. the real wage adjusts to bring labor supply and labor demand into equilibrium. Pls heeeelp!!!!!!!!!!!!!!! What is the authors bias or prejudice within this document? Christmas in the trenches O He extended the deadline for them to leave.O He ordered the Army to remove them by force.O He ordered negotiation of a new treaty.O He canceled the plans for relocation.10In 1838, there were Cherokee resistors who refused to leave their land. What was President Van Buren'sresponse to this resistance? A sample of neon gas at 50.c and a volume of 2.5 l is cooled to 25c. what is the new volume? use the formula: v1 t1 = v2 t2 2.3 l 2.7 l 5.0 l 32.3 l Quadrilateral ABCD is a rectangle.If BDC = 7x + 1 and ADB=9x - 7, find BDC. The functions fand g are defined as follows.g(x) = -2x-5f(x)=2x-3Find f(5) and g(-2).Simplify your answers as much as possible.(s) = 1s(-2) = 03X5? Identify the pair of points that can represent an increasing function that has a greater rate of change than that of the function y = 8/5x + 3/5 can anyone slove this with formula ( operations with rational number) Which type of mortgage each person should choose? The President of the United States must undergo a serious surgery, and may be incapacitated for a week. Which of the following correctly depicts the order of events that must occur, according to Section 3 of the 25th Amendment, before the president can return to office? You have noticed that your friends are not making great health choices, and you are concerned for their well being. You decide that it is your duty to give them some health advice. Below write a simple paragraph in Spanish giving your friend some friendly health advice. Your paragraph should be at least 5-6 sentences.*Remember that I do not expect you to sound like a native speaker. Do NOT use a translator. A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), (B(0,10), and C (C(15,0). The origin is the center of dilation. What is the scale factor of the dilation Aamir wants to add 894 and 76. He first adds 890 and 80. What should he do next to get the correct answer?O add 4O add 8O subtract 4O He has already calculated the correct answer in the first step what are the types of corruption Which of the following equations results in infinitely many solutions?7y + 15 - 2y = 7(y + 3)7y +3-2y = 5(y + 3)7y + 15 = 5(y + 3)7y + 15 - 2y = 5(y + 3)