Algebraically manipulating the formula FV = P +Prt, find the simple interest rate it would take to double (2 times) the initial deposit of $7,000 for 8 years.10%11%12.5%9.5%None of these choices are correct.

Answers

Answer 1

The Solution.

The given formula is

$\begin{gathered} FV=P+\text{Prt} \\ \text{Where FV=2P=2(7000)=\$14000} \\ P=\text{ \$7000} \\ t=8\text{ years} \\ r=\text{?} \end{gathered}$

Substituting the above values into the given equation, we get

$\begin{gathered} 14000=7000+7000\times r\times8 \\ 14000=7000+56000r \\ \text{Collecting the like terms, we get} \\ 14000-7000=56000r \\ 7000=56000r \\ \text{Dividing both sides by 56000, we get} \\ r=\frac{7000}{56000}=\frac{1}{8}=0.125\text{ \%} \end{gathered}$

Clearly, we can say that none of the given options is correct.

So, the correct answer is the last option (option E)

Related Questions

what is 28.5 inches in height?

Answers

two feet and 4.5 inches

The results of a paired-difference test are shown below to the right. d = 5.6
a. Construct and interpret a 99% confidence interval estimate for the paired difference Sd =0.25 in mean values.
b. Construct and interpret a 90% confidence interval estimate for the paired difference n=16 in mean values_ (Round to two decimal places as needed:) Choose the correct answer below:

OA This interval will contain the true population mean 90% of the time_
OB. There is a 90% chance that the true population mean is contained in the interval.
Oc: If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean: 0
D. Approximately 90% of the differences will be contained in the interval.

Answers

If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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help...
AGAIN!
please and thank you

Answers

Answer:

it's e and

Step-by-step explanation:

if it's 5/5 it =1, if it's 4/4 it equals 1 if its 6/6 it equals 1, if both numbers are the same it equals 1

Answer:

Step-by-step explanation:

Once you understand the vocabulary, I'm sure you could do another question like this. It means that you need to take all the fractions that equal 1/1 or just 1.

So to get to the answer, BEF is what you are looking for.

Notice what each of BEF have in common.

Their numerators (Top) and denominators (bottom) are the same. That means they cancel down to 1.

PLEASE PLEASE PLEASE HELP ILL GIVE BRAINEST PLEAESE

Answers

Answer:

The last one

Step-by-step explanation:

There are two of the same x-values, meaning it is not a function.

Hopefully this helps!

Brainliest please?

The answer is D btw because there are two of the same x values

Tast each of the following series for convergence by the integral Test. If the Integral Test can be applied to the series, enter CONVitit converges or DW if e diverges. If the integral tast cannot be applied to the series, enter NA Note: this means that even if you know a given series converges by sime other test, but the integral Test cannot be applied to it then you must enter NA rather than CONV) 1. nin(3n) 2 in (m) 2. 12 C nela ne Note: To get full credit, at answers must be correct. Having al but one correct is worth 50%. Two or more incorect answers gives a score of 0% 9 (ln(n))

Answers

The series Σ(n/(3n)) cannot be tested for convergence using the integral test. (NA)The series Σ(12/n ln(n)) converges according to the integral test. (CONV)

For the series Σ(n/(3n)), we can simplify the expression as Σ(1/3). This series is a geometric series with a common ratio of 1/3. Geometric series converge when the absolute value of the common ratio is less than 1, but in this case, the common ratio is equal to 1/3, which is less than 1. Therefore, the series converges. However, we cannot apply the integral test to this series since it does not have the form Σf(n) where f(n) is a positive, continuous, and decreasing function for n ≥ 1. Hence, the result is NA.For the series Σ(12/n ln(n)), we can apply the integral test. The integral test states that if the function f(x) is positive, continuous, and decreasing for x ≥ 1, then the series Σf(n) converges if and only if the integral ∫f(x)dx from 1 to infinity converges. In this case, we have f(n) = 12/(n ln(n)). Taking the integral of f(x), we get ∫(12/(x ln(x)))dx = 12 ln(ln(x)) + C. Evaluating the integral from 1 to infinity, we have 12 ln(ln(infinity)) - 12 ln(ln(1)) = ∞ - 0 = ∞. Since the integral diverges, the series Σ(12/n ln(n)) also diverges. Hence, the result is CONV (it diverges).

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Evaluate the expression below when x = 5. If needed, answer as a fraction or a decimal.
x^3 + 6x + 8

Answers

15+30+8=53 so it’s 53

2. In the figure, x is an exterior angle to the triangle below.

(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m Answer:

Answers

Answer:

a) Exterior Angle Theorem

b) x = 109°

Step-by-step explanation:

For a, you can thank the Exterior Angle Theorem. Since the angles of a triangle equal 180°, we can figure out what the third interior angle's measurement is, then subtract that from 180 to get the exterior angle's measure. Since the two angles labeled (64° and 45°) will make an obtuse angle, then the third interior is an acute angle. Add 64 and 45 to get the exterior angle's measurement of 109 degrees. That would mean the third interior angle's measurement would be 71 degrees. 64 + 45 + 71 = 180, so this is true.

(I had used the HSEAT to explain this.)

What is the measure of angle D?

122°

45°

32°

70°

Answers

The answer to this question is C

c is the correct answer

Find the values of the variables for the parallelogram.

Answers

The value of variable x is 3. The value of y is 33, and the value of z is 2.5.

What is a parallelogram?

A quadrilateral (a four-sided polygon) having two sets of parallel sides is referred to as a parallelogram. In other words, a parallelogram's opposite sides are parallel and congruent (have the same length). The opposite angles of a parallelogram are congruent (have the same measure), the neighbouring angles are supplementary (add up to 180 degrees), and the diagonals of a parallelogram are bisected by one another, among other characteristics (cut each other in half). In addition, parallelograms can be categorised according to additional characteristics, such as whether or not they are rectangles.

From the given figure we see that the measure of angle 1 = 90 as diagonals are perpendicular to each other.

Thus,

3y - 9 = 90

3y = 99

y = 33

Hence, the value of y is 33.

Now, for the upside down triangle, the value of the two sides are equal thus the angles are also equal.

That is,

15x = 18z

Now, for the triangle using the interior angles we have:

15x + 18z + 90 = 180

15x + 18z = 90

Now, 15x = 18z thus:

15x + 15x = 90

30x = 90

x = 3

Substituting the value of x we have:

15(3) = 18z

45 / 18 = z

z = 2.5

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HELP ME PLEASE SOLVE FAST!!!!!!! I AM DESPERATE AND IT IS 3 A.M.!!!!!

Answers

Yes because the lines are parallel meaning the angles will be the same

Yes, because the lines are parallel meaning the angels will be the same.

2. What is the answer to the first
example?
8x + 1
8x - 1

Answers

Answer:

Step-by-step explanation:

I am pretty sure it’s 21

A number squared subtracted from 3 times the number is equal to negative 70.Set up and solve a quadratic equation, then solve by factoring.

Answers

Given

Number squared subtracted fom 3 times the number is equal to negative 70.

Find

Set up quadratic equation and solve by factoring

Explanation

Let the number be x.

according to the question,

$3x-x^2=-70$

then,

$x^2-3x-70=0$

by solving , we get

$\begin{gathered} x^2-3x-70=0 \\ (x+7)(x-10)=0 \\ x=-7,x=10 \end{gathered}$

Final Answer

quadratic equation =

$x^2-3x-70=0$

and factors are -7 and 10

Solve each equation and match the solution
b+2.3= 5.7

A 2.19
B 5 1/2
C 7/9
D 3.4

Answers

Answer:

b=3.4 so it is d

Step-by-step explanation:

Subtract 2.3 from both sides of the equation

b+2.3 = 5.7

b+2.3 - 2.3 = 5.7- 2.3

and the simply

Which algebraic expression fits the verbal phrase: The product of x and 7 decreased by 34. * 1р O7-34 x 7 X - 7 x 34 O 7x-34 O 7x + 34

Answers

Answer:

7x-34 because...

product means multiply the variable x by 7

decreased mean we subtract 34 from 7x

7x-34

PLEASE ANSWER WITHIN 15 MINUTES!

Answers

Answer:

Step-by-step explanation:

Complementary means the angles will add up to 90 degrees. You can subtract each of the angles from 90 to find the missing angles.

1) 90-43 = 47

2) 90-46 = 44

3)90-25 =65

4)90-58 =32

5)90-35=55

An appraiser is calculating a trapezodial site that has base of 150 feet, a height of 2000 feet and a second parrallel base of 100 feet. what is the square feet area of the site?

Answers

The area of the given trapezoidal site is 250,000 sq. ft.

What is the area of the trapezoidal?

The area of the trapezoidal with the dimensions of both bases and the height is given by the formula,

Area = 1/2 × height × (base1 + base2)

Units: square units

Calculation:

The given trapezoidal site has a base of 150 feet, i.e., base1 = 150 ft; a height of 2000 ft, i.e., height = 2000 ft and a parallel base of 100 feet, i.e., base2 = 100 ft.

Then, the area of the trapezoidal is

= 1/2 × 2000 × (150 + 100)

= 1/2 × 2000 × 250

= 250,000 sq. ft

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The question I have is y=3bx-7x. It says to solve the literal equation for x.

Answers

Answer:

y/( 3b-7)=x

Step-by-step explanation:

y=3bx-7x

Factor out x

y=(3b-7)x

Divide each side by (3b-7)

y/( 3b-7)=(3b-7)x/ ( 3b-7)

y/( 3b-7)=x

Answer:

$\huge \boxed{x= \frac{y}{3b-7} }$

Step-by-step explanation:

$\sf y=3bx-7x$

Factor out x from the expression.

$\sf y=x(3b-7)$

Divide both sides by (3b - 7).

$\sf \displaystyle \frac{y}{3b-7} =x$

Use point-slope form to write the equation of a line that has a slope of and passes through (-3,-1). Write your final equation in slope-intercept form. Show work

Answers

Answer:

so u have to shoe ur work right? so (-3,-1)=(-2,4-) there

Step-by-step explanation:

The local middle school has students 2924 The principal wants the students in groups of 24 for an assembly How many groups of students will there be?

Answers

Answer:

1239 it is 1239 I think I have same test

121 groups of students

A snow globe is made out of regular right triangular prism that is inscribed in hemisphere with radius 12cm. help a designer to find the dimensions of maximum volume prison. state the exact answer.

Note: Find the dimensions of the prism for the case when the triangular base is on the grand circle of the hemisphere.

Answers

The maximum volume of the prism is 1728 cubic centimeters.

To find the dimensions of the prism with maximum volume, we need to consider the relationship between the volume of the prism and its dimensions.

Let's assume the base of the right triangular prism is an isosceles right triangle with legs of length 'a'. The height of the prism will be 'h'. The prism is inscribed in a hemisphere with a radius of 12 cm.

First, let's determine the relationship between 'a' and 'h'. Since the base of the prism is on the great circle of the hemisphere, the hypotenuse of the triangular base is equal to the diameter of the hemisphere, which is twice the radius. Therefore, the hypotenuse of the base is 2 * 12 = 24 cm.

By using the Pythagorean theorem, we can find 'a':

a^2 + a^2 = 24^2

2a^2 = 576

a^2 = 288

a = √288

Now, let's find the height 'h' of the prism. The height 'h' is equal to the radius of the hemisphere, which is 12 cm.

Therefore, the dimensions of the prism for maximum volume are:

Base length (a) = √288 cm

Height (h) = 12 cm

To find the maximum volume, we can use the formula for the volume of a right triangular prism:

Volume = (1/2) * a^2 * h

Substituting the values, we get:

Volume = (1/2) * (√288)^2 * 12

= (1/2) * 288 * 12

= 1728

Hence, the maximum volume of the prism is 1728 cubic centimeters.

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a candidate in an election lost by 5.8% of the vote. the candidate sued the state and said that more than 5.8% of the ballots were defective and not counted by the voting machine, so a full recount would need to be done. his opponent wanted to ask for the case to be dismissed, so she had a government official from the state randomly select 500 ballots and count how many were defective. the official found 21 defective ballots. use excel to test if the candidate's claim is true and that less than 5.8% of the ballots were defective. identify the p-value, rounding to three decimal places. provide your answer below:

Answers

Rounding it to three decimal places, the p-value is approximately 0.039.

The p-value (0.039) is less than the conventional significance level of 0.05. Since the p-value is smaller than the significance level, we reject the null hypothesis (H₀) and conclude that there is enough evidence to support the candidate's claim. The proportion of defective ballots is significantly less than 5.8%.

Here, we have to test the candidate's claim using Excel, we can perform a hypothesis test to determine if there is enough evidence to support the claim that less than 5.8% of the ballots were defective.

Here are the steps to calculate the p-value using Excel:

Null hypothesis (H₀): The proportion of defective ballots is equal to or greater than 5.8%.

Alternative hypothesis (Hₐ): The proportion of defective ballots is less than 5.8%.

Sample proportion (p) = Number of defective ballots / Total number of ballots sampled

SE = √((p * (1 - p)) / n), where n is the sample size (500 in this case).

z = (p - p0) / SE, where p₀ is the hypothesized proportion (5.8% or 0.058).

Now, let's calculate the p-value using Excel:

Assuming the number of defective ballots is 21 (as given in the question) and the total sample size is 500:

Calculate the sample proportion (p):

p = 21 / 500 = 0.042

Calculate the standard error (SE) of the sample proportion:

SE = √((0.042 * (1 - 0.042)) / 500) ≈ 0.0091

Calculate the test statistic (z-score):

z = (0.042 - 0.058) / 0.0091 ≈ -1.758

Find the p-value corresponding to the test statistic using Excel's NORM.S.DIST function:

=NORM.S.DIST(-1.758, TRUE)

The above Excel formula will return the p-value. Rounding it to three decimal places, the p-value is approximately 0.039.

Interpretation:

The p-value (0.039) is less than the conventional significance level of 0.05. Since the p-value is smaller than the significance level, we reject the null hypothesis (H₀) and conclude that there is enough evidence to support the candidate's claim. The proportion of defective ballots is significantly less than 5.8%.

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Writing each fraction of mixed number by a decimal.
Problem: What is 0.23 ?

Answers

3/13 is .230769 so fraction form should be 3/13

3/13 /////////////////////////////

Teresa needs to memorise words on a vocabulary list for French class. She has 12 words to memorise and she is 1/4 done how many words has Teresa and memorise so far?

Answers

Answer: 3

Step-by-step explanation: 12 times 1/4 = 3

Answer:

3 words

Explanation:

12×1/4 = 12/4 = 3

-4(-3n-8)=104
A:11
B:-6
C:10
D:6

Answers

♡ The Question ♡

- -4(-3n-8)=104

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Answer ♡

- D) 6

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- -4(-3n - 8) = 104

Divide both sides by -4!

-4(-3n - 8) over -4 = 104/-4

Simplify!

-3n - 8 = -26

Add 8 to both sides!

-3n - 8 + 8 = -26 + 8

Simplify!

-3n = -18

Divide both sides by -3!

-3n/-3 = -18/-3

Simplify!

n = 6

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ Tips ♡

- No tips provided!

Calculate the percentage increase or decrease in each of
the following cases.

a) The profit of a company increases from 50,000 to
80,000.

b)The metro fare increases from AED 8 to AED 20

c)The price of book decreased from 30 to 27.

Answers

Step-by-step explanation:

hey nidha the answer of ur question

Calculate the percentage increase or decrease in each ofthe following cases.a) The profit of a company

Answer:

see this called chori

Step-by-step explanation:

hope it helfpul so mark brainlists

find x...............

Answers

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

which law deals with the truth value of p and q

law of detachment

law of deduction

law of syllogism

law of seperation

Answers

The law that deals with the truth value of propositions p and q is the Law of Syllogism, which allows us to draw conclusions based on two conditional statements.

The law that deals with the truth value of propositions p and q is called the Law of Syllogism. The Law of Syllogism allows us to draw conclusions from two conditional statements by combining them into a single statement. It is also known as the transitive property of implication.

The Law of Syllogism states that if we have two conditional statements in the form "If p, then q" and "If q, then r," we can conclude a third conditional statement "If p, then r." In other words, if the antecedent (p) of the first statement implies the consequent (q), and the antecedent (q) of the second statement implies the consequent (r), then the antecedent (p) of the first statement implies the consequent (r).

This law is an important tool in deductive reasoning and logical arguments. It allows us to make logical inferences and draw conclusions based on the relationships between different propositions. By applying the Law of Syllogism, we can expand our understanding of logical relationships and make deductions that follow from given premises.

It is worth noting that the terms "law of detachment" and "law of deduction" are sometimes used interchangeably with the Law of Syllogism. However, the Law of Syllogism specifically refers to the transitive property of implication, whereas the terms "detachment" and "deduction" can have broader meanings in the context of logic and reasoning.

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solve the system by substitution
2x-3y=20
x=-2y+3

Answers

Answer:

Hi! The answer to your question is (7,-2)

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

a small college has 500 freshmen, 400 sophomores, 350 juniors, and 300 seniors. administrators wish to conduct a survey of their students, and they find a simple random sample of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. the overall sample is:

Answers

The overall sample for the survey consists of 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors, totaling 155 students.

To create an overall sample for the survey, the administrators selected a certain number of students from each class level. They randomly sampled 50 freshmen, 40 sophomores, 35 juniors, and 30 seniors. By combining these individual samples from each class, the administrators obtained an overall sample size of 50 + 40 + 35 + 30 = 155 students. This overall sample represents a portion of the student population from each class level and allows for a representation of students from different academic years in the survey.

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1. Draw a proportional line with a slope of 3/2

Answers

*desmos graphing calculator*

1. Draw a proportional line with a slope of 3/2

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what is limit order in stocks and if the ask rate is added is that valid for the day or it will be executed anytime the price matched with the ask price india A game has an expected value to you of $. It costs $ to play, but if you win, you receive $100,000 (including your $ bet) for a net gain of $. What is the probability of winning? Would you play this game? Discuss the factors that would influence your decision. When looking at a review of systems for an elderly client, which gastrointestinal data should cause the nurse the most concern? One scientist involved in the study believes that large islands (those with areas greater than 25 square kilometers) are more effective than small islands (those with areas of no more than 25 square kilometers) for protecting at-risk species. The scientist noted that for this study, a total of 19 of the 208 species on the large island became extinct, whereas a total of 66 of the 299 species on the small island became extinct. Assume that the probability of extinction is the same for all at-risk species on large islands and the same for all at-risk species on small islands. Do these data support the scientists belief? Give appropriate statistical justification for your answer. recognize the events that result in a breach(total breach andpartial) of contract and explain anticipatory repudiation PLEASE HELP!! see the picture (math related) Which of the following is true about Product Life Cycles?a) A Reminder promotion is normally used in the introductory phaseb) Profits peak in the maturity phasec) Early adopters buy in the introductory phased) Sales peak in the growth phasee) A informative promotion is most generally used the maturity phase The points (5, 4) and (9, 2) are on a line. Find the intercepts to the nearest tenth. The skull that protects the brain has joints. State two reasons why this is so. A scientist is researching the solar system. How can the scientist best add to existing empirical evidence about the solar system? a. The scientist can debate the research with other scientists. b. The scientist can develop a new law regarding the solar system. c. The scientist can make and record observations. d. The scientist can write an opinion column about the researc Which of the following descriptions of the academy is true? A line has a slope of -2 and contains the point (1, -1). Which is the equation of this line? How did the New Immigrants differ from the "Old Immigrants"?A. Most of them were Protestants.B. Most of them spoke very little English.C. They came seeking new economic opportunities.D. They were generally accepted by native-born Americans. Discuss the principles of professionalism. nflation can impose significant costs and adversely distort economic systems. indicate whether the costs and distorting effects exemplify menu costs, shoe leather costs or unit of account costs. a. discourages people from holding money b. can reduce the quality of economic decisions menu costs c. can lead to stores listing prices in more stable currencies d. spending time converting money into something that better holds value e. makes money a less reliable source of measurement f. can cause distortion to the tax system g. causes difficulty in firms and individuals financial planning h. causes costs associated with changing prices in stores 14. (19 pts) Researchers are interested in comparing the distributions of the length of time (in minutes) individuals spend at the drive thru at the bank compared to the drive thru at a fast food rest A sizable group of people who are united by common bonds of race, language, custom, tradition, and, sometimes, religion is known as a? when tom arrives we_____ a party What are the implications of managing external environment Write the equation of the line described. Slope 1/5 and y-intercept 6 Find the slope of the line that passes through the pair of points. (4,1) and (1,6)