You have the option to deposit $6500 into an account that pays 3.25% interest, compounded quarterly OR to deposit your money into an account that pays the same interest rate but compounds continuously. Which option yields you more money after 5 years and how much more?
OPTIONS:
Compounded quarterly, $4809.13
Compounded quarterly, $416.23
Compounded continuously, $5.02
Compounded continuously, $878.52

Answers

Answer 1

9514 1404 393

Answer:

  Compounded continuously, $5,02

Step-by-step explanation:

Compounded quarterly, the amount in the account will be ...

  A = 6500(1 +.0325/4)^(4·5) ≈ 7641.89

Compounded continuously, the amount in the account will be ...

  A = 6500e^(.0325·5) = 7646.91

So, the account compounding continuously has the higher yield, by the amount of ...

  $7646.91 -7641.89 = $5.02


Related Questions

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.98 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.02. How much does an average movie ticket cost in each of these​ countries?

Answers

Answer:

$79.98-$75.02=$04.96

Answer:

$04.96 is right answer am I right or wrong hope I am right

On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros

Answers

Answer:

sry

Step-by-step explanation:

i am new to this

174 i think

Answer:

174

Step-by-step explanation:

HELPPPPPPPPP ASAPPPPPPPP PLSSSS

Answers

-1/3(px-2) = 9

ok! so first we want to isolate x.

multiply both sides by -3/1 (this is the reciprocal of -1/3)

(px-2) = -27

px = -27 + 2

px = -25

x = -25/p

hope this helped!

What would the equation be if my coordinates were, (-4,3) (2,6) ?

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

change of x=2-(-4)=6

change of y=6-3=3

slope=3/6 or 1/2

y intercept=5

y=1/2x+5

Hey! Could anyone solve this problem for me in a step-by-step explanation? If so, thank you! (ASAP!!)

Answers

Answer:

-8/15

that's it

Step-by-step explanation:

i cant explain

Answer:

option d

Step-by-step explanation:

[tex]\frac{4}{9}[/tex] ÷ [tex]-\frac{5}{6}[/tex]

take reciprocal of -5/6,  [when you take reciprocal, the '÷' sign will become '×' sign]

⇒ [tex]\frac{4}{9}[/tex] × [tex]-\frac{6}{5}[/tex]

⇒ 4 × -6 / 9 × 5

⇒ [tex]-\frac{24}{45}[/tex]

⇒ [tex]-\frac{8}{15}[/tex]

therefore, option d is the correct option

Noah’s recipe for one batch of sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water.

Answers

That would me 9 liters of whatever your trying to get

Consider the equation:
2x^2-20x=x^2-19

Answers

X equals 19 and x also equals 1 is the correct answer:)

How many units are there

Answers

Answer:

There are 9 units

Step-by-step explanation:

Help megagaagsgsh fdndjfjdd

Answers

Step-by-step explanation:

a) The graph shows how many adults and youths attended the movies on Friday, Saturday and Sunday.

b) On Friday, more adults attended the movies then youths.  On Saturday and Sunday, more youths attended the movies then Adults.

c) 1) Saturday is the most popular day to go to the movies because there was 500 adults and 650 youths for a total of 1150 people.  Friday had 950 people and Sunday had 800 people.

Can someone help me with the questions in the picture?

Answers

Answer:

1) Isosceles - 2 sides are the same.

2) Scalene - all the sides are different, and an oblique angle.

3) Right Triangle - it has a right angle

4) isoscele - 2 sides are the same it has acute angles.

5) Scalene - all the sides are different, and an oblique angle.

6) equilateral - all the sides and angles are the same.

Step-by-step explanation:

What is the slope of y = 5x – 1?

Answers

Answer: The slope is 5

Step-by-step explanation:

The slope of an equation in slope intercept form is always the coefficient of the x variable, or the number that comes before x. And the coefficient of x is 5.

question in the picture!


looking for the answer of 1) by the way! :))

Answers

the answer is 1/2 or 0.5
1/2 or 0.5 as 50% equals that. good luck

What is the value of x?


4/5 x - 1/10 = 3/10
These are the answer choices.

1/4

8/25

2/5

1/2

Answers

Answer:

x=1/2

Step-by-step explanation:

4/5x-1/10=3/10

4/5x=2/5

x= 1/2.

Hope this helps :D

a) Caesar, a leader of Rome, was born in 25 B.C.E. (before the year 0) and died in the
year 44. How old was he when he died?

Answers

Answer:

55

Step-by-step explanation:

hshshshhdhshshhshshsjjs

5 fewer than the sum of f and 10
How do you right that in a equation

Answers

Answer:

(f + 10) - 5

Step-by-step explanation:

anyone know how to do this?

Answers

The correct answer is option b or y=2x-3:)

catie charges an initial amount of $5 for babysitting and the $3 per hour. jolisa does not charge an initial amount but charges $4 per hour. write and solve an equation to find how many hours each girl sill have to babysit to earn the same amount.​

Answers

Answer:

32

Step-by-step explanation:

5+3=8

8x4=32

4x8=32

Can someone help me pls

Answers

Answer:

Step-by-step explanation:

1). ASA postulate of congruence

2). Triangles are congruent.

Need help will mark brainliest

Answers

Answer:

I am grade 5 and I don't know about what it is at all. but please make me as the brainliest

HELP! help is needed ASAP! help is very much appreciated.

Answers

Answer:

Length of side e is 4.12

Length of side f is 4.24

The length of side f is larger than length of side e

Step-by-step explanation:

We are given two line segments e and f. We need to find lengths of both e and f and determine which is larger.

We can use distance formula to calculate lengths of line segments.

The Distance Formula is: [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Finding length of side e:

We are given points (-2,3) and (-1,-1)

here we have [tex]x_1=-2, y_1=3, x_2=-1 , y_2=-1[/tex]

Putting values in distance formula and finding length

[tex]Length \ of \ side \ e= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ e= \sqrt{((-1)-(-2))^2+(-1-(3))^2}\\Length \ of \ side \ e= \sqrt{(-1+2)^2+(-1-3)^2}\\Length \ of \ side \ e= \sqrt{(1)^2+(-4)^2}\\Length \ of \ side \ e= \sqrt{1+16}\\Length \ of \ side \ e= \sqrt{17}\\Length \ of \ side \ e= 4.12[/tex]

So, Length of side e is 4.12

Finding length of side f:

We are given points (2,2) and (-1,-1)

here we have [tex]x_1=2, y_1=2, x_2=-1 , y_2=-1[/tex]

Putting values in distance formula and finding length

[tex]Length \ of \ side \ f= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ f= \sqrt{((-1)-(2))^2+(-1-(2))^2}\\Length \ of \ side \ f= \sqrt{(-1-2)^2+(-1-2)^2}\\Length \ of \ side \ f= \sqrt{(-3)^2+(-3)^2}\\Length \ of \ side \ f= \sqrt{9+9}\\Length \ of \ side \ f= \sqrt{18}\\Length \ of \ side \ f= 4.24[/tex]

So, Length of side f is 4.24

The length of side f is larger than length of side e

The bike cost $120. The sales-tax rate was 8%. What is
the total cost of the bike including sales tax?

Answers

Answer:

$129.6

Step-by-step explanation:

just use ur calculator i think

Answer:

$129.60

Step-by-step explanation:

8 percent of 120 is 9.6

9.6+120=129.6

Two neighbors in a rural area want to know the distance between their homes in miles. What should the neighbors use as a conversion factor to convert this distance to miles ?

Answers

Answer:

1 foot = 0.000189394 miles

Step-by-step explanation:

The two neighbors in the rural community could measure the distance between their homes first in feet. So that the value in feet can now be converted to miles by multiplying it by 0.000189394.

Since,

1 foot = 0.000189394 miles

Let us assume that the distance between the two houses is 500 feet, then;

1 foot = 0.000189394 miles

500 feet = x miles

x = 500 x 0.000189394

  = 0.094697

So that for the considered example, the distance is approximately 0.095 miles.

Thus, the required conversion factor is;

1 foot = 0.000189394 miles

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 56 and a standard deviation of 10. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86?

Answers

Answer:

97.35%

Step-by-step explanation:

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the question, we have the mean of :

Mean of 56 and a standard deviation of 10.

For 36

36 = μ - xσ

36 = 56 - 10x

56 - 36 = 10x

20 = 10x

x = 20/10

x = 2

Hence, the data falls within 2 standard deviation of the mean

Hence, since it is one side,

= 95%

= 47.5%

For 86

86 = μ - xσ

86 = 56 - 10x

56 - 86 = 10x

-30 = 10x

x = -30/10

x = -3

Hence, the data falls within 3 standard deviation of the mean

Hence, since it is 99.7% one side,

= 99.7%

= 49.85%

Hence, we add up

= 47.5% + 49.85%

= 97.35%

The approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86 is 97.35%

There are 20 female performers in a dance recital. The ratio of men to women is 3:4. How many men are in
the dance recital?
There are
men in the dance recital.

Answers

Answer: 15

Step-by-step explanation: 3:4 5x4=20 5x3=15 15:20

Answer:

there are 15

men in the dance recital

Step-by-step explanation:

The steps in solving 5b - 6 = 24 are:

Answers

Answer:

5

Step-by-step explanation:

5

5b-6=24
+6 +6
5b=30
\5 /5
B=6
I hope this helps! Comment if you need a better explaination


Michelle plans on raising $80 for her softball team. To raise the money, she is selling team shirts for $10 each.
So far she has raised $20. To calculate how many more shirts she needs to sell, Michelle subtracts 20 from 80
and then divides by 10.
Which of the equations below can be solved using the same steps?
A. 10x + 20 = 80
B. 20x + 10 = 80
C. 80x - 20x = 10
D. 10x + 20x = 80

Answers

Given:

Michelle plans on raising $80.

Selling price of each shirt = $10

So far she has raised $20.

To find:

The number of more shirts she needs to sell.

Solution:

Let x be the number of more shirts she needs to sell.

Selling price of one shirt = $10

Selling price of x shirt = $10x

Total raising amount = $(10x + 20)

Michelle plans on raising $80. So,

[tex]10x+20=80[/tex]

Subtract both sides by 20.

[tex]10x=80-20[/tex]

[tex]10x=60[/tex]

Divide both sides by 10.

[tex]x=\dfrac{60}{10}[/tex]

[tex]x=6[/tex]

So, the required equation is [tex]10x+20=80[/tex]

Therefore, the correct option is A.

Tony needs 6.5 ft. of wood for his fort.

He only has 3.2 ft.

How much more does he need?

Answers

He needs 3.3 ft. more

He transformation function is (x, y) --> (x + 4, y - 2). The starting point is point A at (-5, 6). Step 1: A: (-5, 6) x: , y: Step 2: Substitute x and y into (x + 4, y - 2): ( + 4, - 2) Step 3: Do the math: Point A' is at ( , )

Answers

Given:

Rule of transformation is [tex](x,y)\to (x+4,y-2)[/tex].

Point = (-5,6)

To find:

The missing values in the given steps of transformation.

Solution:

Step 1: A: (-5, 6).

[tex]x:-5,y:6[/tex]

Step 2: Substitute x and y into [tex](x+4,y-2):[/tex]

[tex](-5+4,6-2)=(-1,4)[/tex]

Step 3: Do the math:

Point A' is at (-1 ,4 ).

Therefore, the coordinates of the point (-5,6) after the transformation are (-1,4).

Please help with the question in the photo above please!!!

Answers

Answer: -5

Step-by-step explanation:

Answer:

-5 is the correct answer

Plz help

Find the area of a rectangular movie screen that is 52 feet long and 38 feet high. Use A=LW.

Answers

52x38=1976, 1976 is the answer
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