Sophie invested $26,000 in an account paying an interest rate of 6% compounded continuously. Sydney invested $26,000 in an account paying an interest rate of 5% compounded monthly. After 20 years, how much more money would Sophie have in her account than Sydney, to the nearest dollar?​

Answers

Answer 1

Sophie would have $15,786 more than Sydney.

What is the compound interest?

We know that the compound interest has to do with the kind of interest that we have to compound but on the principal and the the interest. In this case, we can see that we have;

A = P(1 + r/n)^nt

A = amount

P = principal

r = rate

t = time

n = Number of times compounded

Then we have For Sophie;

A = 26000(1 + 0.06/365)^20 * 365

A = $86315

For Sydney;

A =26000(1 + 0.05/12)^12 * 20

A = $70529

It then implies that; $86315 -  $70529

= $15,786

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Related Questions

Juanita borrowed $600 to purchase a new computer. She was charged 7% interest for two years. She used the simple interest formula to find the interest.

I = 600(7)(2)

What error did Juanita make and how will her error affect the interest she calculates? Explain
{_____________________________

whoever does best get brainliest

Answers

Answer:

The correct formula should be I= 600(0.07)(2). Juanita made a very common error, she didn't put the percentage of interest in decimal form; or she didn't put the percent sign on it so we know to put it in decimal form. Her error will make a big difference; with using her calculations the answer would be $8,400. With the correct formula the answer is $84.

Hope this help! :)

Given :-

Juanita borrowed $600 .Rate of Interest = 7% .Time = 2yrs .

To find :-

Error made by her.

Answer :-

As we know that the formula for Simple interest is ,

SI = P*R*T / 100

Substitute ,

I $600* 7 * 2 / 100 I = $ 84 .

So here she did not write 7 % as 7/100 instead she wrote 7 .

20 pts help...................

Answers

Answer:

[tex]3 \frac{3}{4}[/tex]

Step-by-step explanation:

We have a right rectangular prism and the question is asking for the volume.

Look for the formula of volume :

V = LWH

L being length

W being width

H being height

The formula is basically saying to multiply all sides together, so let's do as so.

[tex]2*1\frac{1}{4} * 1\frac{1}{2}[/tex]

= [tex]3 \frac{3}{4}[/tex]

Answer:

c

Step-by-step explanation:

Taylor and Katy repeatedly toss a fair coin. Katy wins if heads are thrown, Taylor wins if tails are thrown, and the game ends when someone has won three times. Katy is currently behind 1 to 2. The chance Katy wins is:

Answers

Answer:

25%

Step-by-step explanation:

In order to find the chance/probability that Katy wins we need to first find the probability of her winning a single coin toss and then multiply it twice. This is because Katy has 1 win already and needs two more win the entire game. Since a coin toss only has 2 options and only 1 of those outcomes will cause Katy to win, then this means that the probability of Katy winning is 1/2 or 50%. Now we can multiply this probability twice to get the probability of Katy winning the entire game

1/2 * 1/2 = 1/4 or 25%

find the length and the breadth of a rectangular plot whose area is 660 sq.m and its perimeter is 104​

Answers

Answer:

find the mean median mean devialion

The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

Answers

Answer:

16p^2 - 24p - 9

Step-by-step explanation:

I literally just took the test lol

Paula salió de su casa rumbo al trabajo avanzo 8km al este y 13km al norte. Si hubiera un camino recto desde su casa a su trabajo ¿Que distancia recorrería por ese camino?

Answers

Answer:

15.26km

Step-by-step explanation:

Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.

[tex]a^{2} + b^{2} = c^{2}[/tex]

donde a y b son el ancho y el alto del triangulo y el c seria x

[tex]8^{2} + 13^{2} = x^{2}[/tex]

[tex]64 + 169 = x^{2}[/tex]

[tex]233 = x^{2}[/tex]

[tex]15.26 = x[/tex]

Finalmente, podemos ver que la distancia seria 15.26km

please please answer will give brainliest

Answers

Answer:

c

Step-by-step explanation:

.5xBxH=.5x16x5=8x5=40

Answer:

c

Step-by-step explanation:

sources: dude trust me

PLEASE HELP, THIS IS DUE IN 20 MINUTES
Given the following proportion, solve for the length of the triangle "n".
n/4 = 12/(n-2)

Answers

1,000,000,000,000,000,000
N = {-6, 8} Im pretty sure

(-10,-8), (8, 10) what the slope for this plz

Answers

Answer:

1

Step-by-step explanation:

y2 - y1/x2 - x1

10 + 8/8 + 10 = 18/18 = 1

Slope = 1OR2/2OR1/1They're all the same.

que son monomios? y 4 ejemplos

Answers

una expression algebraic

5x9

xy²

8x6y

3x

What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5

Answers

Answer:

[tex]\frac{3x+4}{x+5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]

Since both fractions have a common denominator then add the numerators, placed over the common denominator.

= [tex]\frac{2x+7+x-3}{x+5}[/tex]

= [tex]\frac{3x+4}{x+5}[/tex]

Answer:

The answer is

[tex] \frac{3x + 4}{x + 5} [/tex]

Step-by-step explanation:

We can do this by using the denominators.

[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]

Platter has six veggie wraps 12 turkey wraps and cost 64.50 another platter has eight veggie wraps turkey wraps and cost 56 what is the cost of a veggie wrap

Answers

Answer:

$3.25

Step-by-step explanation:

The computation of the cost of a veggie wrap is shown below:

Let us assume the veggie strap be x

And the turkey wrap be y

Now the equations are

6x + 12y = $64.50

x + 2y = $10.75

8x + 8y = $56

x + y = 7

Now

x + 2y = $10.75

x + y = $7

y = $3.75

So x = $7 - 3.75

= $3.25

which sentence demonstrates the multiplicative identity?

1. 1/2•1=1/2
2. 1/2•2=1
3. 1/2+0=1/2•

Answers

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Answer:

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Step-by-step explanation:

math help please (question 9)
*theres also a hint*

Answers

Answer:what are the answer choices

Step-by-step explanation:

Answer:

Point A = (0,1)  Point B = (1,2)  Point C = (2,4)

Step-by-step explanation:

To find a point's "ordered pair" (x and y coordinates), consider each line a single digit unless the problem states/shows otherwise (ex. if the lines were evidently counting by 2's). Here, we can see each line represents a single digit. First count how many lines to the left/right of the y axis the point is (this will be your x point - ex. point B in this problem has an x valued at 1 because the point was one line to the right of the bold vertical line in the middle (the y axis). If the point is to the left, it is a negative x value, right would be positive, and if the point is on the y axis line. x is 0. You are essentially counting how far along the x axis the point is. Same applies to the y values, given you do the opposite and count how far from the x axis (horizontal bold line) the point is. Above that line is positive, below is negative, and again, if the point is on the x axis (bold horizontal line), the y value is 0. Then simply fill your values in in their corresponding places in the brackets: (x,y).

Hope this helps :) I know math can be especially hard to grasp so it's always okay to ask for help/explanation.

8-3(6-6x) please help

Answers

Answer:

-10 + 18x

Step-by-step explanation:

8-3 (6-6x)

distribute -3 with the numbers inside the parenthesis and you end up with

8 -18 + 18x

and you simplify by subtracting 18 from 8 so you get

-10 + 18x

The simplified form of the expression  8 - 3(6 - 6x) is -10+18x.

To simplify the expression 8 - 3(6 - 6x), we can apply the distributive property to remove the parentheses.

Distribute the -3 to both terms inside the parentheses:

8 - 3 × 6 + 3 × 6x

Simplify the multiplication:

8 - 18 + 18x

Combine like terms:

-10 + 18x

Therefore, the simplified expression is -10 + 18x.

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A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?​

Answers

Answer:

15 feet tall hi hi hi hi hi hi

Answer:

10

Step-by-step explanation:

PLEASE HELP!!!! 25 POINTS!!!

don't need to answer all but someone please help with a few questions!!!

(GRAPH INCLUDED)


Which variable did you plot on the x-axis and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.


Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.


What does the slope of the line represent within the context of your graph? What does the y-intercept represent?


Test the residuals of two other points to determine how well the line of best fit models the data.


Use the line of best fit to help you to describe the data correlation.


Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arms span is 66 inches?


According to your line of best fit, what is the arm span of a 74-inch-tall person?

Answers

Answer:

x variable

Step-by-step explanation:

HOPE IT WILL HELP YOU

A certain region of America with over 500,000 households has a mean household income of $70,000 with a standard deviation of $20,000. Economists plan to take random samples of 625 households and calculate the sample mean income for each sample. Calculate the mean of the sampling distribution of x-bar.

Answers

Answer: Mean: 70,000

Standard Deviation: 500

Step-by-step explanation:

The  mean is 70, 000 and standard deviation is 800.

What is Standard Deviation?

The term "standard deviation" (or " σ ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

A certain region of America with over 500,000 households.

Mean, [tex]\mu[/tex] = 70,000

and, Standard Deviation, [tex]\sigma[/tex] = 20,000

n = 625

So, the new mean = old mean

                               = 70, 000

and, the standard deviation = [tex]\sigma /[/tex]√n

                                              = 20,000 / √625

                                              = 20,000 / 25

                                              = 800.

Hence, the mean is 70, 000 and standard deviation is 800.

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16. Solve the system of equations by graphing.
y = x + 8
y = - x- 6


Answers

Answer:

Step-by-step explanation:

x + 8 = -x - 6

2x + 8 = -6

2x = -14

x = -7

y = -7 + 8

y = 1

(-7, 1)

Chloe earned a grade of 87% on her multiple choice math final that had a total of 200
problems. How many problems on the final exam did Chloe answer correctly?

Answers

200 x 0.87 = 174

She answered 174 questions correctly.

Answer:

Chloe answered 174 problems correctly.

Explanation:

To find percentage, you would multiply the percentages decimal to the total.

0.87x200=174

120 pounds decreased by 5%

Answers

Answer:

114 pounds

Step-by-step explanation:

114 should be the answer

Graphf (x) = 3x + 4 and a h(x) = -f(x).

Answers

Answer:

I think the answer is 56 .

I would need you to tell me the answers to each question (3 questions)

Answers

Step-by-step explanation:

For no. 4

x = 180° - 98° - 50°

x = 32°

For no. 5

x = 180°- 67°-56°

x = 57°

For no. 6

x = 180° - 22° - 47°

x = 111°

Hope it will help :)❤

What is the product of these two binomials?
(x^2 - 5)(2x - 1)

Answers

Step-by-step explanation:

Please refer to the attachment

yoo hii, could yall please help me!!

Answers

1. 9x-10 (I think)
2. B. x=6
12x - 6 - 3x + 4
Rewrite, if it helps, grouping like terms
12x - 3x -6 + 4
9x -2

For the second problem, the answer is B

-2x + 15 + 7x = 45
5x = 30
x = 6

Find x. Simplify completely.

x = [?]
Enter the number that belongs in the green
Please helppp

Answers

Step-by-step explanation:

Answer is 20.

Please use paythagoras theorem in every triangles.

Which of the following numbers has the smallest value?

19.45
19.445
19.5
19.454

Answers

Answer:

19.445

Step-by-step explanation:

It’s answer b 19.445

a scientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population to grow at an average annual rate of 2.9 percent

using the scientists prediction, create an equation that models the population of bats, y, after t years.

Answers

Answer:

Step-by-step explanation:

y = 270,000 ×1.029^t

Write and equation of the line in slope intercept form that passes through the points. (0,1) (2,4)

Answers

y = 3x + 1

slope: (y2-y1)/(x2-x1) = (4-1)/(2-1) = 3/1 = 3

point slope form:
y-y1 = m (x-x1)
y-1 = 3 (x-0)
y-1 = 3x
y = 3x + 1

Clasificación de los ángulos de acuerdo a sus aberturas

Answers

Answer:

recto, agudo, obtuso, liano, completo, convexo, cóncavo

Step-by-step explanation:

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Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.Their parents had not really talked with Brennan or Maureen about how the gift money they had been receiving would affect their final inheritance. As they listened tothe estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.1. Discuss your thoughts on how Brennans and Maureens parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the gift money and how it affected their inheritance?2. 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How would you approachthe topic of writing a will with a family member? acquisition of an existing business is an attractive strategy option for entering a promising new industry because it group of answer choices is an effective way to hurdle entry barriers, is usually quicker than trying to launch a new start-up operation, and allows the acquirer to move directly to the task of building a strong position in the target industry. is less expensive than launching a new start-up operation, thus passing the cost-of-entry test. is a less risky way of passing the attractiveness test. is more likely to result in passing the shareholder value test, the profitability test, and the better-off test. offers the prospect of gaining an immediate competitive advantage in the new industry and thus helps ensure that the diversification move will pass the competitive advantage test for building shareholder value. Kidneys receive about ______ of Cardiac Output (L/min) for a normal resting individualA. 1-5%B. 15-30%C. 45-60%D. 100% 1980's presidential candidate who became the champion of the Religious (Christian) Right: a.Ronald Reagan b.None of the above c.George Bush d.Jimmy Carte determine whether the string 01001 is in each of these sets. a) {0, 1} b) {0}{10}{1} c) {010}{0}{1} d) {010, 011} {00, 01} e) {00} {0}{01} f ) {01}{01} Georgia opened a large bag of Sour Patch Kids and recorded the colors and theirfrequencies, as shown in the table below.ColorFrequencyRed26Yellow15Green44Blue371) Show your work to determine the total number of outcomes.2) Show your work to determine the RELATIVE FREQUENCY, in any format(fraction, decimal, or percent), of selecting a Green Sour Patch Kid from the bag.3) Use the RELATIVE FREQUENCY, determined from #2, to approximate theprobability of selecting a Green Sour Patch Kid from a bag of 500 pieces. use a taylor polynomial centered at x=0 to estimate ln(1.35) to within 0.01. 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