A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.

Answers

Answer 1

Answer:

$24147.50

Step-by-step explanation:

Step one:

given

principal=$7420

rate = 5.9%= 0.059

time = 20years

Step two:

Required

Final amount V

using the relation

[tex]V = Pe^{rt}[/tex]

Substituting we have

[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]

To the nearest cent

= $24147.50

The amount of money in the account after 20 years is $24147.50


Related Questions

If x = -2, what is the value of y, that makes the equation, y = 2x + 3, true? Explain how you know.

Answers

Answer:

Y is equals to negative 1.

Step-by-step explanation:

y = 2x + 3

y =2(-2)+ 3

y =-4+ 3

y=-1

math math pls answer

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Answer:

D

Step-by-step explanation:

see 0.12 is equal to 0.120

now its easy to tell that 0.124>0.12 because 4 is greater than 0

HOPE THIS HELPED !!!! :D

Answer:

ans d

Step-by-step explanation:

find x and y
x=_____
y=_____​

Answers

x=12 and y=5
triangle ANE measurements are just 2 times the measurements of TLC

Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Quadrilateral A B C D is translated down and to the left to form quadrilateral O L M N.

If AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units, what is LO?

5 units
6 units
8 units
10 units

Answers

Answer:

LO = 6 units ⇒ B

Step-by-step explanation:

Translation does not change the size or the shape of the figure

∵ Quadrilateral ABCD is translated down and left to form

   quadrilateral OLMN

The image of side AB is side OL

∴ The image of side BC is side LM

∴ The image of side CD is side MN

∴ The image of side AD is side ON

AB = 6 units

∵ Translation does not change the size of the figure

∴ The image of AB = 6 units

∵ The image of AB is OL

∴ The length of OL = 6 units

∵ OL = LO

LO = 6 units

The length of LO of the newly translated quadrilateral is; Option B: LO = 6 units.

Translation of objects in mathematics simply means to move an object from one point to another without a change of length or figure.

Now we are told that Quadrilateral ABCD is translated down and left to form quadrilateral OLMN.

Thus means Quadrilateral OLMN is still same size and length as ABCD and as such the sides will correspond in order.

Thus, it means that;

AB = OL

BC = LM

CD = MN

AD = ON

We are given;AB = 6 units, BC = 5 units, CD = 8 units, and AD = 10 units

Thus, since AB = OL, we can say that;

LO = 6 units.

Read more on translation of objects at;https://brainly.com/question/24850937

Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.

Answers

Answer:

s=40w+350; s=$1,070

Step-by-step explanation:

Our equation looks like this:

s=40w+350

Next we plug in 18 for w, our number of weeks.

s=40(18)+350

Multiply the 40 and 18.

s=720+350

Add the 350 and 720.

s=1,070

Add a dollar sign to say that the amount is in dollars.

s=$1,070

HTH :)

The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.

Total amount of money in the savings account after 18 weeks is

What is an Equation?

An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.

There are left hand side and right hand side for every equation and may or may not include variables.

S is the total amount of money in the savings account of Yoko.

W is the number of weeks Yoko has been adding money.

Initial money = 350

After 1 week total money = 350 + (1 × 40)

After 2 weeks, total money = 350 + (2 × 40)

It goes on like this until the last week.

So after W weeks total money = 350 + (W × 40)

Total amount of money in the savings account after W weeks, S = 350 + 40W.

After 18 weeks, S = 350 = (40 × 18) = $1070

Hence the equation relating W and S is, S = 350 + 40W.

Total amount of money after 18 weeks = $1070

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https://brainly.com/question/29657992

#SPJ2

Tell whether the lines through the given points are parallel, perpendicular or neither. You must have a work that supports your answer

Answers

I think it’s perpendicular, I tried to do a quick drawing, sorry if it’s not perfect ☹️

what websites are similar to brainly?

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Websites similar to Brainly: Quizlet and Socratic

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Answer:

Step-by-step explanation:

La ciudadde osaka japon se encuentra a (9x10 elevado a 6 )+ (6x10 elevado a 5)+ (8x10 elevado a 3+ (8x10 elevado a 2)+ 7x10 de milan italia
a) expresa los datos en kilometros
b)¿ que distancia habra recorrido un avion q salio de milan a osaka y se encuentra aun tercio de su destino???

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Answer:

A

Step-by-step explanation:

The correct answer is A

A linear function contains the following points. What are the slope and y-intercept of this function?

Answers

Answer:

option B is the correct answer

Answer:

maybe try b

Step-by-step explanation:

Pls helppp :))

Solve for x by factoring

X^2+4x-21=0

There are multiple answers

Answers

Answer:

[tex]x=3,-7[/tex]

Step-by-step explanation:

We can solve for x by using [tex]\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}[/tex]

By applying this on the quadratic equation, we get:

[tex]x=\frac{-4\pm\sqrt{4^{2}+84} }{2}[/tex]

Which simplifies to:

[tex]x=\frac{-4\pm10}{2}[/tex]

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Games Galore Super Store buys the latest video game at a wholesale price of $58.00. The markup rate at Game’s Galore Super Store is 40%. You use your allowance to purchase the game at the store. How much will you pay, not including tax?

Answers

Answer:

Step-by-step explanation:

30 + .40(30) =  30(1 + .40)  = 30(1.4)  = $42

What is the slope of a line passing through the points (-1, 3) and (4, -7)

A. -2
B. -4/3
C. 3/4
D. 2

Answers

Answer:

A

Step-by-step explanation:

-7-(3)/4-(-1)=-10/5 which is -2

Use the slope formula y2-y1/x2-x1 to solve

Write 0.15 as a fraction in simplest

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Answer: 3/20 also known as 15%  Hope this helps Have a great night

Step-by-step explanation:

is 10 a rational number or irrational number

Answers

Answer:

rational

Step-by-step explanation:

happii

Answer:
10 is a rational number.

Explanation: Google said so

Help me please......

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Answer:

Approx. 73°

Step-by-step explanation:

Ava has to attend at least 45 physics classes every semester to earn attendance points. If she can attend 3 classes every week, write an inequality that determines the minimum number of weeks Ava should attend physics classes. PLEASE ANSWER!

Answers

Answer:

45= 3x

Step-by-step explanation:

45 classes= 3 classes × x weeks

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If possible how would you prove that the given triangles congruent

Answers

Answer:

AAS

Step-by-step explanation:

At a baseball game, the stadium gave T-shirts to the first 100 fans to arrive. Each T-shirt cost $15.00. How much did the stadium pay for the T-shirts it gave away?

Answers

Just do 100 times 15

Joseph ran LaTeX: 2\frac{3}{4}2 3 4 miles in LaTeX: \frac{2}{5}2 5 of an hour. How fast did Lin run in 1 hour? (try to leave your answer in a fraction) Nathaniel ran LaTeX: 8\frac{2}{3}8 2 3 miles in LaTeX: \frac{4}{3}4 3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction) Who ran the fastest, Nathaniel or Joseph?

Answers

Answer:

Nathaniel ran fastest

Step-by-step explanation:

For Joseph

Joseph ran 2 3/4 miles 2 /5 of an hour.

Speed = Distance/Time

Speed = 2 3/4 miles ÷ 2/5 hour

= 11/4 ÷ 2/5

= 11/4 × 5/2

= 55/8 miles/hour or 6.875 miles/hour

How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

2/5 hour = 55/8 miles per hour

1 hour = x

Cross Multiply

x = 55/8 ÷ 2/5

x = 55/8 × 5/2

x = 275/16 miles per hour

x = 17 3/16 miles per hour

Nathaniel ran LaTeX: 8 2/3 miles in 4 /3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction)

Speed = Distance/Time

Speed = 8 2/3 miles ÷ 4/3hour

= 26/3 ÷ 4/3

= 26/3 × 3/4

= 26/4 miles/hour

How fast did he run in 1 hour? (try to leave your answer in a fraction)

Hence, this is calculated as:

4/3 hour = 26/4miles per hour

1 hour = x

Cross Multiply

x = 26/4 ÷ 4/3

x = 26/4 × 3/4

x = 78/16 miles per hour

x = 4 14/16 miles per hour

= 4 7/8 miles per hour

Who ran the fastest, Nathaniel or Joseph?

Hence, from the calculation above, Nathaniel ran fastest

can someone help me?

Answers

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

Given the function h(x)=x^2-5x-1, determine the average rate of change of the function over the interval −2≤x≤5.

Answers

Answer: -2

Step-by-step explanation:

True or False? The blue radius is perpendicular to the green chord.

Answers

The statement that the blue radius is perpendicular to the green cord is false

From the complete question,

The blue radius does not bisect the green chord

This means that the blue radius and the green chord do not meet at 90 degrees

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Hence, the statement that the blue radius is perpendicular to the green cord is false

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Average ant weight 4x10^-3 grams. Ant population is 10,000 trillion (10,000,000,000,000,000). What is the total mass of all ants? Show work for mass of ants (grams):​

Answers

Answer:

The total mass is 4 * 10^12 grams

Step-by-step explanation:

To get the total mass of all ants,

We simply multiply the average mass of an ant by the population

That will be;

4 * 10^-3 * 10^15

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What is the correct answer for both? ​

Answers

Answer:

15)   C (3, -4)

16)   B (-1, 1)

Step-by-step explanation:

8x + 6y = 0

8x + 2y = 16

8x + 2y = 16

8x = 16 - 2y

x = 2 - 1/4y

8x + 6y = 0

8(2 - 1/4y) + 6y = 0

16 - 2y + 6y = 0

16 + 4y = 0

4y = -16

y = -4

8x + 2y = 16

8x + 2(-4) = 16

8x - 8 = 16

8x = 24

x = 3

________________

-20x - 3y = 17

10x - 4y = -14

-20x - 3y = 17

-20x = 17 + 3y

x = -17/20 - 3/20y

10x - 4y = -14

10(-17/20 - 3/20y) - 4y = -14

-8.5 - 1.5y - 4y = -14

-8.5 - 5.5y = -14

-5.5y = -5.5

y = 1

-20x - 3y = 17

-20x - 3(1) = 17

-20x - 3 = 17

-20x = 20

x = -1

A and B are two cities.
zt
x В
a) Measure the bearing of B from A.
AX
b) Measure the bearing of A from B.

Answers

Answer:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

Step-by-step explanation:

The bearing of B from A is 28 degrees, approximately

The bearing of A from B is 180+28=208 degrees, approximately.

The reason for approximation is from distortion of image.

See attached image to understand ohw the measurement has been obtained.

I need help with angles!!!!!!!!1

Answers

Answer:

3

Step-by-step explanation:

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.​

Answers

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to indicate where in the diagram they belong.

Pls answer this , and thank you

Answers

——————the answer is 2/25

Answer:

A

Step-by-step explanation:

2 (4x-2)- 5x=-18
HELP!!

Answers

i think it’s x= -14/3

Answer:

x = -14/3

Step-by-step explanation:

2 (4x-2) - 5x = -18

8x - 4 - 5x = -18

8x - 5x = -18 + 4

3x = -14

x = -14/3

I'm not sure if this is what you were asking for but, ya..

help i will give brainlist.

Answers

Answer:

3m^4  

Step-by-step explanation:

the third one

Answer:

The third option

Step-by-step explanation:

Exponents are the little numbers up and to the right. None of the other options have a little number (exponent) of 4

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