You put $2000 into an account earning 4% interest compounded continuously. Find the amount in the account at the end of 8 years.

Answers

Answer 1

Answer:

You'll need the attached formula.

Total = Principal * e ^ (rate * years)

rate = .04

Total = 2,000 * 2.718281828 ^ (.04 * 8)

Total = 2,000 * 2.718281828 ^ (.32)

Total = 2,000 * 1.3771277643

Total = 2754.2555285231

Total = 2,754.26 (rounded)

Step-by-step explanation:

You Put $2000 Into An Account Earning 4% Interest Compounded Continuously. Find The Amount In The Account
Answer 2

The amount in the account at the end of 8 years will be $2,737.12.

To understand the calculations, check below.

Compound interest:

The compound interest amount is given as,

                  [tex]Amount=P*(1+\frac{r}{100} )^{n}[/tex]

Where P is principal , r is rate and n is times.

It is given that,

      [tex]P=\$2,000, r=4\%, t=8 years[/tex]

               [tex]Amount=2,000*(1+\frac{4}{100} )^{8}\\\\Amount=2000*(\frac{104}{100} )^{8} \\\\Amount=\$ 2,737.12[/tex]

Learn more about the compound interest here:

https://brainly.com/question/24924853


Related Questions

What is the arc measure of a 90 degree angle

Answers

it’s 1/4 of a circle.

A water sprinkler sends out water in a circular pattern. How many feet away from the sprinkler can it spread water is the area formed by the watering pattern is 530.66 square feet? Use 3.14

Answers

Answer:

r= 13ft

Step-by-step explanation:

You are looking for the radius

The Area of a circle is  

πr2=530.66

(3.14)r2=530.66

Divide both sides by 3.14

r2=169

Square root both sides to get radius

r=13 feet

What number can be added to the right side of the equation to change it to a function with one real zero

Answers

Answer:

+3

Step-by-step explanation:

Where the graph crosses the x axis is where the real zeros exist. The parabola's minimum is at point (-3,-3) by adding a +3 to the right side of the equation will raise the minimum to point (-3,0) therefore giving it only one point where it touches the x axis. Then the parabola will only have one zero, the minimum of the parabola.

Nick is solving the equation 3x^2=20-7x with the quadratic formula
which values could He use for a, b and c

Answers

Answer:

C. a = 3

b = 7

c = -20

Step-by-step explanation:

x = -b+/- (sq) b^2 - 4ac.

Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0

S if you use your equation : 3x^2 = 20 - 7x

First you have to move everything to one side.

So it'll look like this:

3x^2 = 20 - 7x

-20      -20

3x^2 - 20 = -7x

+7x  +7x

3x^2 - 20 + 7x = 0

don't forget that... Ax^2 +Bx+ C= 0

3 = A

7 = B

-20 = C

Team Sports Sport Number of Players Baseball 9 Basketball 5 Football 11 Hockey 6 Lacrosse 10 Polo 4 Rugby 15 Soccer 11 Enter the ratio of lacrosse players to baseball players in the form a b and then as a decimal showing up to four decimal places. Tell whether the decimal is a terminating or a repeating decimal.

Answers

Answer:

Ratio of Lacrosse players to Baseball players  is 10:9 or 10/9

Step-by-step explanation:

A ratio can be seen as a relationship between two values which is based on quantitative measures.

To do this simply we divide the values of the quantities that we want to determine the ratio of which on is to the other.

It can be seen as Value of quantity A / Value of quantity B

In this case, quantity A is the Lacrosse players, and it has a value of 10

quantity B represents the Baseball players with a value of 9.

Hence the ratio is  [tex]\frac{10}{9} = 1.1111[/tex]

It can also be written as 10: 9

The decimal is a repeating decimal because the numbers after the decimal points take up a pattern that repeats themselves up to infinity.

What is the following product? RootIndex 3 StartRoot 24 EndRoot times RootIndex 3 StartRoot 45 EndRoot RootIndex 3 StartRoot 69 EndRoot 4 (RootIndex 3 StartRoot 6 EndRoot) 6 (RootIndex 3 StartRoot 5 EndRoot) 6 (RootIndex 3 StartRoot 10 EndRoot)

Answers

Answer:

Answer is C

Step-by-step explanation:

The result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex].

The product is represented as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex]

Multiply the roots

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= \sqrt[3]{24\times 45}[/tex]

Rewrite the above expression as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (24\times 45)^{1/3}[/tex]

Expand 24

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 8 \times 45)^{1/3}[/tex]

Express 8 as 2^3

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= (3 \times 2^3 \times 45)^{1/3}[/tex]

So, we have:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 45)^{1/3}[/tex]

Express 45 as 9 * 5

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 9 \times 5)^{1/3}[/tex]

Express 9 as 3^2

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3 \times 3^2 \times 5)^{1/3}[/tex]

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2(3^3 \times 5)^{1/3}[/tex]

So, we have:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 2\times 3(5)^{1/3}[/tex]

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6(5)^{1/3}[/tex]

Rewrite as:

[tex]\sqrt[3]{24} \times \sqrt[3]{45}= 6\sqrt[3]{5}[/tex]

Hence, the result of product [tex]\sqrt[3]{24} \times \sqrt[3]{45}[/tex] is [tex]6\sqrt[3]{5}[/tex]

Read more about products at:

https://brainly.com/question/10873737

How can I find the area of this irregular shape?

Answers

Answer:

the idea is to devide the shape into 3 smaller parts.

Step-by-step explanation:

devide it to three areas :

> semi-circle (0.5 * pi * R), R=5

>Square (10 * 10)

> triangle (0.5 * base * height),

bsse =10, height =7

Add them together.

Pat mixed .85/lb coffee with .55/lb coffee to form a mixture worth .75/lb. How many lbs of each should she use to make 120lbs of the mixture?

Answers

The pounds would be 4

Elevator 1 in a hotel moved from ground position to a final position of +18 feet. Elevator 2 in the same building moved from ground to a final position of −20 feet. Which statement best describes the final positions of these two elevators?


A: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above ground level.

B: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.

C: Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below the position of Elevator 1.

D: Elevator 1 is 18 feet below ground level, and Elevator 2 is 20 feet above the position of Elevator 1.

Answers

Answer: B. Elevator 1 is 18 feet above ground level, and Elevator 2 is 20 feet below ground level.

Step-by-step explanation:

Let "up" be positive and "down" be negative.

Both elevators start at position x = 0

The change in x (Δx) of Elevator 1 is +18 feet, which means it is 18 feet above the origin (which is ground level)

The change in x (Δx) of Elevator 2 is -20 feet, which means it is 20 feet below the origin (which is ground level)

Therefore, Elevator 1 is 18 feet above ground level, while Elevator 2 is 20 feet below

Answer:

Awnser B :) Hope i helped

Step-by-step explanation:

Use the information provided to write the equation of each circle.

Answers

Answer:

( x - 8 )^2 + ( y + 16 )^2 = 4; Option C

Step-by-step explanation:

~ We know that the standard circle equation ( x - a )^2 + ( y - b )^2 provided r ⇒ radius of the circle, centered at ( a, b ) ~

1. With that being being said, we are given the center with coordinates (8, -16), that can be plugged into this circle equation as a and b, while x and y are kept such: ( x - 8 )^2 + ( y - ( - 16 ) )^2 ⇒ simplified to be ⇒

( x - 8 )^2 + ( y + 16 )^2

2. Given the radius 2, it is convenient for us that we can simply substitute this value of r into the circle equation: ( x - 8 )^2 + ( y + 16 )^2 = 2^2

3. Now let us square the radius 2, as to simplify to ⇒

Answer: ( x - 8 )^2 + ( y + 16 )^2 = 4

can the sides of a triangle have lengths 6, 6 , 15

Answers

Answer:

I don't think it can, because the two smaller sides cannot have a sum of less than the third side. 6+6=12, and 12 is less than 15, so it cannot be possible. You can even test this out on a piece of paper and you will see that it is not possible.

Answer:yes

Step-by-step explanation:

because 6,6 can be /\ and 15 is __ so it would be /_\....it would be a triangle

Can anybody help me solve this? You must solve for X first. I will mark as brainliest if there is an explanation.


(Click on image for full picture)

Answers

Answer:

106 degrees

Step-by-step explanation:

Since all the angles add up to 360 degrees we can find the value of x first and then substitute that value into angle VUX (12x+10)

11x + 1 + 12x + 10 + 75 + 90 = 360

23x + 176 = 360

23x = 184

x = 8

when x = 8,

<VUX = 12x + 10 = 12(8) + 10 = 106 degrees

Answer:

∠VUX = 106º

Step-by-step explanation:

Once the Quadrilateral add up to 360,

[tex]360\º=90\º+11x+1+75\º+12x+10\\360\º=176\º+23x\\8\º=x[/tex]

The measure of ∠VUX is [tex]12x+10[/tex]

Once [tex]x=8\º[/tex]

[tex]12(8)+10\\106[/tex]

Which fraction lies between 0.70 and 0.75 on number line?

Answers

Answer:

Please see my attachment below.

It has the work to your question and should help you understand it visually.

Hope it helps.

A company is producing a candy bar with an average weight of 58 grams and a standard deviation of 2 grams. To pass inspection and be boxed to sell, the company has stated that the weight of an individual bar must fall within the middle 99.7% of all the candy bar weights. Assuming the weights are normally distributed and with the mean in the middle, plot a line segment that represents the range of weights that will pass inspection.

Answers

Answer: For plato users

Plot the numbers on your number line

Firstly plot =52

Secondly plot = 64

Step-by-step explanation:

What should be done to solve the equation?
X- 17 = 11
Add 17 to both sides.
Add 17 to the left side and subtract 11 from the right side.
Add 17 to the left side and subtract 17 from the right side.
Add 11 to both sides.

Answers

Answer:

add 17 to both sides

Step-by-step explanation:

as it cancels itself

mark brainliest

Answer:

Add 17 to both sides

Step-by-step explanation:

i did the quiz

what is the slope of the points (-6.4,-2.6) and (5.2,9)

Answers

Answer:

X= 1

Hope this helps you!

Simplify :
(32/243)^4/5

Answers

Answer:

0.00006014573

Step-by-step explanation:

what i did was first complete (32/243) in parentheses,

Then i simplified 4/5 into a decimal and did the exponential value as a decimal to get 0.00006014573.

Hope you have a good day!,

sincerely,policekid0

What is the circumference and area of a circle with a radius of two

Answers

Answer:

The area and circumference is/are both 4π

Step-by-step explanation:

Formula for the circumference: 2πr

Formula for the area: πr²

2×π×2=4π

The circumference is 4π

π×2²= 4π

The area is 4π

What function is depicted in the graph above

Answers

Answer:

what graph show me the graph

Step-by-step explanation:

Determine the number of possible positive real zeros and the number of possible negative real zeros a. positive 1; negative 3 or 1 c. positive 3 or 1; negative 1 b. positive 1; negative 2 or 1 d. positive 2 or 1; negative 1 Please select the best answer from the choices provided

Answers

Answer:

its c on edg 2020

Step-by-step explanation:

Please help me with this questions!
Will mark brainliest!

Answers

Answer:

1a. 119

1c. 598

2a. 36

2c. 825

Step-by-step explanation:

1a. So to discount 15% you take 85% of 140. That is 119

1c. Take 92% of 650. That is 598

2a. So to markup 20% you take 120% of 30. That is 36

2c. Take 110% of 750. That is 825

Which pair of statement correctly compares the two data sets?

Answers

Answer:

please there are no data sets, i can't see them

Answer:

a

Step-by-step explanation:

A) Mo has been rounding decimal numbers to the nearest whole number. Put a * by the correct answers and correct the incorrect answers. Number Rounded to Whole Number Correct (*) or Correction 7.2 7 * 8.5 8 9 12.9 13 * 3.4 3 * 11.5 11 12 9.5 9 10 b) Mo has made the same mistake throughout. Explain to Mo the mistake he has made. A:

Answers

Answer:

A)

7.2 7 * ⇒ correct

8.5 8 9 ⇒ 9 is the correct answer

12.9 13 * ⇒ correct

3.4 3 * ⇒ correct

11.5 11 12 ⇒ 12 is the correct answer

9.5 9 10 ⇒ 10 is the correct answer

B)

When a decimal number is 5 or more, you must round up, e.g. 4.5 must be rounded up to 5. You round down when the number is 4 or less.

A. Translation
B. Glide reflection
C. Rotation

Answers

Answer:

Rotation.

Step-by-step explanation:

The preimage is rotated about a center clockwise 90 degrees.

Determine the projection of vector w onto vector u. u=9i-6j, v=-3i-2j, w=19i+15j

Answers

Answer:

[tex]proj_uw=6.2i-4.2j[/tex]

Step-by-step explanation:

The projection of a vector [tex]v[/tex] onto a vector [tex]u[/tex] is defined as the projection of the vector [tex]v[/tex] on the line that contains the vector [tex]u[/tex]. It can be calculated  using the following formula:

[tex]proj_uv=\frac{u\cdot v}{||u||^2} u[/tex]

Where:

[tex]u\cdot v[/tex]

Is the dot product between [tex]u[/tex] and [tex]v[/tex] which is given by:

[tex]u\cdot v= $$\sum_{i=1}^{n} u_iv_i= u_1v_1+u_2v_2+...+u_nv_n$$[/tex]

and:

[tex]||u||[/tex]

Is the magnitude of vector which can be calculated as follows:

[tex]||u||=\sqrt{u_1^2+u_2^2+...+u_n^2}[/tex]

In this sense, the projection of vector w onto vector u is:

[tex]proj_uw=\frac{u\cdot w}{||u||^2} u[/tex]

Where the dot product between [tex]u[/tex] and [tex]w[/tex] is:

[tex]u\cdot w =(9*19)+(-6*15)=171-90=81[/tex]

And the magnitude of [tex]u[/tex] is:

[tex]||u||=\sqrt{9^2+(-6)^2} = 3 \sqrt{13}[/tex]

Thus:

[tex]proj_uw=\frac{u\cdot w}{||u||^2} u=\frac{81}{117} \langle9,-6\rangle=\langle6.23,-4.15\rangle\approx6.2i-4.2j[/tex]

Answer:

A on edge

Step-by-step explanation:

Got it right on quiz (:

Simplify x÷2+2x ÷3+3x÷4​

Answers

Answer: 23/12x = 1.91667x

Step-by-step explanation:

X/2+2x/3+3x/4

1/2x + 2/3x + 3/4x

Please Help!!! What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

Answers

Answer:

D. 27/16

Step-by-step explanation:

Volume of a cyclinder=πr^2h

Volume of cylinder A=πr^2h

r=3

h=3

π=3.14

=3.14×3^2×3

=3.14×9×3

=84.78

Volume of cylinder B

r=2

h=4

Volume of cylinder B=πr^2h

=3.14×2^2×4

=3.14×4×4

=50.24

Ratio of A to B

=84.78/50.24

Change to fraction

=84.78×100/50.24×100

=8478/5024

=27/16

the theme of patriarchal dominance in the Castle of Otranto

Answers

Step-by-step explanation:

In Horace Walpole's The Castle of Otranto, the female characters are predominately presented as passive and emotionally fragile, particularly in contrast to their male counterparts. ... These gendered fictional representations reflect, influence, and perpetuate patriarchal attitudes toward women.

please help..ive got some of it but some of its so confusing

Answers

Answer:

12.5%

Step-by-step explanation:

its 1/4 the area of the bigger square, so half of the 1/4 is 1/8

A taxi company charges a fixed hire fee (which is a whole number of dollars) plus a rate for each
kilometer (which is a multiple of 10¢ and more than the set national minimum rate of $1.75),
rounded up to the nearest kilometer.
Maira’s last journey cost $37.90, but she does not know how far it was, or what the fixed hire fee
is. She wants to know how far the journey was.

She has a previous bill from the same taxi company, for a different journey, for $21.80.
How far was her last journey?

Answers

Answer:

362 kilometre

Step-by-step explanation:

Let a be the total cost of a journey

let b represent the total distance of a journey

$1.75 is a fixed charge of a journey

the additional charge is $0.10 for b distance ,hence total of additional charge is $.10 multiplied by b i.e 0.1 b

a=1.75+0.1b

a =37.90

37.90=1.75+0.1b

0.1b=37.90-1.75

0.1 b=36.15

b=36.15 /0.10

b=361.5

b=362 kilometre

For the journey that cost 21.80

21.80=1.75+0.1 b

0.1 b=21.80-1.75

0.1 b=20.05

b=20.05 /0.1

b=200.5

b =201 kilometre

Other Questions
What is the value of b?36634075 Which scientist was the first to propose the heliocentric model of the universe? Pls HELPPPP!!!!!!!!!! Hola, me pueden ayudar, por favor? necesito una oracin con verbo de la palabra "Nada". Translate We get up at 8 o'clock into Spanish in the box below: Determine the arc length of AC, where the arc measures 70' and the diameter of the circle is 24 units. Round your answer to the nearest hundredth. What did music/songs provide for the imprisoned activists. Aristotle and Rawls have opposing views about the relation between justice and moral desert. What best characterizes the difference?a)Aristotle argues that justice is giving people what they deserve, while Rawls believes that moral desert is irrelevant when it comes to a just distribution of goods.b)Rawls argues that a distribution is just only if everyone gets what he or she deserves while Aristotle believes that a distribution is just if fair equality of opportunity is realized.c)Aristotle believes that a distribution is just if everyone gets what he deserves, while Rawls believes that a distribution is just if and only if everyone gets an equal share.d)Rawls argues that a distribution is just if the position of the worst off is maximized, while Aristotle believes that a distribution is just if the position of the worst off is minimized.e)Aristotle believes that a distribution is just if everyone gets an equal share, while Rawls believes that a distribution is just if everyone gets what he or she deserves. In April, one of the processing departments at Terada Corporation had beginning work in process inventory of $29,000 and ending work in process inventory of $35,000. During the month, $252,000 of costs were added to production and the cost of units transferred out from the department was $246,000. In the department's cost reconciliation report for April, the total cost to be accounted for under the weighted-average method would be: is going from gas to plasma a chemical change? Solve for x rounded to the nearest tenth.tan 35=16/x 3. Ella _______inteligente.A. estaB. es Scientists must be able to repeat an experiment and get very similar results; otherwise their conclusions will be questioned. Ifthe results of a repeated experiment are different from the original results, the results of the experimentlack biasare precise.lack controls.are flawed. 1+1-2=please answer haha it's easy but i wanna give points only to those who need it ;) Which word would describe something to show that it is practically, oralmost, true?O accommodationconsiderablyvirtuallyWhich word would refer to a group that has maintained its culturallyunique way of life, separate from the dominant culture? What is the volume of a cube of side 2cm ? Segn la ley de Boyle, la presin es inversamente proporcional al volumen que contiene determinada cantidad de gas. A qu presin est sometido un gas, si al aumentar esta presin en 7,5 el volumen vara en 5/7 de su valor? Multiply and write in standard form.(3x 2)(5x2 3x + 4) Hello my daughter needs help on her homework Thi is her questionCan you work out the diameter of these new planets using the clues below?Vesta is 10 times bigger than Athena.Athena has half the diameter of Vulcan.Juno is 10 times bigger than Athena.Ceres is 100 times bigger than Vulcan.Vulcan is 20 530km in diameter.Apollo is 100 times bigger than AthenaI hope you all can help my daughter as me and her father is confused as well [tex] {2}^{5} [/tex]