You deposit $3000 each year into an account earning 2% interest compounded annually. How much will you have in the account in 20 years?

Answers

Answer 1

Answer:

$72891.1094

Step-by-step explanation:

This method of saving is called sinking fund.

Future value (FV) =  A*([tex]\frac{[(1+r)^{n} - 1]}{r}[/tex])

Where A is the amortization, r is the rate and n the number of years.

A = $3000

r = 2% = 0.02

n = 20

FV = 3000 * [tex](\frac{[(1.02)^{20} - 1]}{0.02})[/tex]

     = 3000 * 24.2973698

     = 72891.1094

FV  = $ 72891.1094

The amount that would be in the account after 20 years is $72891.1094


Related Questions

Find the area of the circle. Use 3.14 for .
20 yd

Answers

ANSWER:
314 yd^2

Explanation:
Use the formula for the area of the circle. Since the diameter is 20, the radius is 20/2=10

Answer:

314 yd²

Step-by-step explanation:

A = πr²

 Use the formula.

A = π(10)²

 Substitute. Use 10 for r.

A ≈ 3.14 × 10²

 Substitute. Use 3.14 for π.

A ≈ 3.14 × 100 Evaluate the power.

A ≈ 314 Multiply.

The area of the circle is about 314 yd².

Find the value of x. Round to the nearest tenth

Answers

Answer:

x=24.1

Step-by-step explanation:

soh cah toa

cos(24°)=22/x

cos(24)= 0.9135

0.9135=22/x

0.9135x=22

x=22/0.9135

x=24.1

Answer:

24.1

Step-by-step explanation:

By sine rule:

[tex] \frac{ x}{\sin 90 \degree} = \frac{22}{\sin (90 - 24)\degree} \\ \\ \frac{x}{1} = \frac{22}{ \sin 66 \degree} \\ \\ x =24.081998127 \\ \\ x \approx 24.1[/tex]

can somebody plllllzzzzzzzzzzz help me with this-2 (x + 4 + 5y)

Answers

Answer:

-2x -8-10y

Step-by-step explanation:

-2 (x + 4 + 5y)

distribute

-2x -8-10y

What is 8.23 divided by 103?

Answers

Answer:

0.08

Step-by-step explanation:

If u do the math or put it in the calculator u should get 0.08

A survey of U.S. adults who attend at least one music concert a year found that 67% say concert tickets are too expensive. You randomly select 12 adults who attend at least one music concert a year and ask them if concert tickets are too expensive. (Remember to make correction)
A)Find the probability that fewer than 4 people say that concert tickets are too expensive.
B)Find the probability that between 7 and 9 people, inclusive, say that concert tickets are too expensive.
C)Find the probability that at most 10 people say that concert tickets are too expensive.

Answers

Answer: b

Step-by-step explanation: step  step

Using the ratio 3 dogs to 2 cats if you had 15 dogs how many cats would there be

Answers

Answer: 10 cats

Step-by-step explanation:

3/2

15/x

3*5=15

2*5=10

3/2=15/10

Answer:

20

Step-by-step explanation:

20

HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!

Answers

G/9 and it says I need at least 20 characters

Answer:

Option C

g/9

Step-by-step explanation:

g ÷ 9

[tex] = \frac{g}{9} [/tex]

Which of the following inequalities matches the graph? 100 point

Answers

Question:

Which of the following inequalities matches the graph?

Answer:

Looking at the graph the y values does not change, it stays at zero

The shaded area are the numbers under O

This means the answer is y ≤ 0

The answer is y ≤ 0

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

PLEASEEEE HELP ON ANY QUESTION
I WILL GIVE U THE REALLY GOOD REVIEW

Answers

Answer:

C. 3 to 18, 5 to 30 is equal

Step-by-step explanation:

Plz help it’s due today’s

Answers

Answer:

% increase

Step-by-step explanation:

80(1.15) = 92

A. 11
B125
C. 275
D 450

Answers

Answer:

C

Step-by-step explanation:

duh

There is 1/4 of a birthday cake left over. If 4 friends share it equally, what fraction of the cake will each friend receive? ( test please hurry!)

Answers

Answer:

The awnser is 1/16!!!!!!!!!!!!!

I need help, this is homework due in a few minutes​

Answers

The y-intercept is -6

It opens down.

Lengths of time, in months for a tumor to recur after chemotherapy I need answers for questions 1-8

Answers

Answer: irdk the awnser but F on that tumor

what is 30% of $40 is ​

Answers

Answer:

$12

Step-by-step explanation:

Answer:

$12

Step-by-step explanation:

30/100 = X/40

X/40 = 30/100

X*40/40 = 30*40/100

X = 1200/100

X = 12

During tug of war, team A pulls to the East with 24N of force and team B pulls to the West with 32N of force. Which team will win and what is the net force?
Team B, 8N

Team B, 56N

Team A, 56N

Team A, 8N

Answers

Answer: Team B, 8N

Step-by-step explanation: I think it's team be because when doing the problem team a is 24 n to the right while Team B is 32 n to the left, and since they are pointing different directions you would subtract those and then get your answer. Since Team B has the larger force it will be the one to win.

Pls pls help me I will mark you brainest

Answers

y values: 3,4,5,6

x values: 5,10,15,20

Step-by-step explanation:

I used a graphing calculator but y is increasing by one and x increases by 5 each time

Answer:

See below.

Step-by-step explanation:

A's number is x. B's number is y.

x = 5y - 10

First row: What is x when y= 3?

                             x = 5y - 10 = 5*3 - 10 = 15 - 10 = 5; x = 5

Second row: What is x when y = 4?

                             x = 5y - 10 = 5*4 - 10 = 20 - 10 = 10; x = 10

Third row:      What is y when x = 15?

                             x = 5y - 10

  Add 10 both sides     x + 10 = 5y - 10 +10

                                      x + 10 = 5y

But we're told x = 15, so   15 + 10 = 5y

                                             25 = 5y

Divide both sides by 5         25/5 = 5y/5

                                                  5 = y                      y = 5

Fourth row: What is x when y = 6?

                                        x = 5y - 10 = 5*6 - 10 = 30 - 10 = 20; x = 20

                       

what is the answer of this:
689 × 6156 ÷ 18% of 684 = 28 × 250 ÷ 8 + ? + 4300
A)27295
B)29275
C)29527
D)29725
E)None of these

Answers

Answer:

1606588.92

Step-by-step explanation:

Please answer my questions truthfully and not gibberish just for points

Answers

Answer:

51. / 13.7

54. / 17.85

29. / 5.15

Step-by-step explanation:

How old are you?

Answer:

The original cable was 5.15 m long.

51: $13.70

53: $16.50

54: $17.85

55: 4.4 miles

56: $49.35

Step-by-step explanation:

The answer to the first question (the one about the cables): So you would solve it by adding the lengths of the cable together.

Cut off piece: 1.65 m       Remaining cable: 3.5 m

To find the original length, we need to add the cut off piece and the remaining cable together.

1.65+3.5= 5.15

The original cable was 5.15 m long.

¿Qué representa 34?

Answers

Answer:

El número 34 en numerología simboliza optimismo, espiritualidad, análisis, autoexpresión, introspección, pragmatismo. Si el número 34 es el número de tu destino, lo más probable es que seas una persona muy espiritual, sabia e intuitiva.

Step-by-step explanation:

Radius of sphere js 6 centimeters what is volume

Answers

the equation for volume of sphere is 4/3 x π x r^3

so just put the numbers in

4/3 x π x 6^3

= 288 π cm^3

Answer:

The volume of a sphere is given as

4/3 πr^3

There is only one variable, the radius, which we are given in the problem.

since the radius is 6 cm, we can plug that in to the formula

4/3 π6^3

Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.

Step-by-step explanation:

Hope it is helpful....

what is a formula for the nth term of the given sequence?

12,6,3...

Answers

Given:

The sequence is:

12, 6, 3, ...

To find:

The formula for the nth term of the given sequence.

Solution:

We have,

12, 6, 3, ...

Here, first term is 12.

Clearly, [tex]\dfrac{6}{12}=\dfrac{3}{6}[/tex]. Since the given sequence has a common ratio [tex]r=dfrac{1}{2}[/tex], therefore it is a geometric sequence.

The formula for the nth term of the given sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

[tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex]

Therefore, the formula for the nth term of the given sequence is [tex]a_n=12\left(\dfrac{1}{2}\right)^{n-1}[/tex].

Answer:

Step-by-step explanation:

Pls help me pls i will mark brainliest

Answers

Answer:

The line cannot be extended to any point since we are trying to graph a zero that is equivalent to absolutely nothing

Step-by-step explanation:

choose as brainliest

A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Chris chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles he chooses are blue? Write your answer as a fraction in simplest form.

Answers

Answer:

Step-by-step explanation:

P(BB)=(4/10)(3/9)

P(BB)=12/90

P(BB)=2/15

pls helpppppppphhhhhh16 5/⁴×2-³×-0​

Answers

I think the question is wrong.. or it will be 0

Marc claims that V17 is greater than 71. Jenny claims that it is
impossible to compare the numbers without a caldulator. Is either
friend correct? Explain.

Answers

None of them are correct the square root of 17 will obviously be less than the square root of 71 to the 3rd power. As for Jenny it is definitely possible to calculate this without a calculator.

I don’t know I think u times both of them 40 and 36 then divide by 4 then times by 2 i don’t know

Answers

What is the question?


The atmospheric pressure p on a balloon or an aircraft decreases with increasing height. This pressure, measured in milimeters of mercury, is related to the heighth (in kilometers) above sea level by the formula p = 760 -0.145
(a) Find the height of an aircraft if the atmospheric pressure is 246 millimeters of mercury

Answers

Answer:

[tex]h = 3544.83km[/tex]

Step-by-step explanation:

Given

[tex]P= 760 - 0.145h[/tex]

Required

Find h when P = 246

Substitute 246 for P

[tex]246= 760 - 0.145h[/tex]

Collect like terms

[tex]246- 760 = - 0.145h[/tex]

[tex]-514= - 0.145h[/tex]

Make h the subject

[tex]h = \frac{-514}{-0.145}[/tex]

[tex]h = 3544.83km[/tex]

Which of the following grid correctly graphs the points A (3,1) and C (1,3)

Answers

Answer:

its the top right

Step-by-step explanation:

x before y

The top right in the corner

Natalia can serve 120 volleyballs in 8 minutes and 330 volleyballs in 22 minutes. How many volleyballs can Natalia serve per minute if she is serving at a constant rate?

Answers

Answer:

15

Step-by-step explanation:

120+330=450

8+22=30

per minute->450÷30=15

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