An account with an initial deposit of 3,500 earns 7.25% annual interest, compounded continuously. How much will the account be worth after 30 years? Round to the nearest cent.

Answers

Answer 1

Answer: $28,575.05

Step-by-step explanation:

Formula: FV = (1+r/n)^nt

FV = future value of the deposit

P = principal or amount of money deposited

r = annual interest rate (in decimal form)

n = number of times compounded per year

t = time in years.

3,500(1+7.25%)^30=28,575.05468


Related Questions

For khan academy. Need answer immediately. Explain if you can . On the unit test

Answers

Answer:

y = -1.5x + 3

Step-by-step explanation:

Answer:

y = -1.5x + 3

Step-by-step explanation:

how do i solve this question?

Answers

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:

Cosine Ratio

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

Sine Ratio

[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Consider the angle of θ=30°, then we can write:

[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]

Solving for x:

[tex]x=12\sqrt{3}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

Then:

[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]

[tex]x = 18[/tex]

Now apply the sine:

[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]

Solving for y:

[tex]y=12\sqrt{3}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

Then:

[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]

[tex]y = 6\sqrt{3}[/tex]

Answer:

[tex]x = 18[/tex]

[tex]y = 6\sqrt{3}[/tex]

Coach leonardo used 9 1/2 meters of string to mark a soccer field for a game. He also used 2 2/5 meters of string to mark a spot where coaches and players will be standing during the game. Which expression could be used to determine the amount of string in meters, coach lenore i used altogether

Answers

Answer:

10 19/10 meters

Step-by-step explanation:

Step one:

given data

let the amount of string used for the soccer field be x

and the amount used for coach spot be y

Also, let the total string used be represented as T

Step two:

Hence the expression for the total is

T= x+y

T= 9 1/2+ 2 2/5

T= 9.5+ 2.4

T= 11.9

or

T= 119/10 meters

or

T= 10 19/10 meters

Solve the Inequality. Please help answer needed fast! :)
m - 3 > -2

Answers

Answer:

[tex]m - 3 > - 2 \\ m > - 2 + 3 \\ m > 1[/tex]

Answer:

1

Step-by-step explanation:

Alice says that all the factors of 8 are even write down an example to show that Alice is wrong

Answers

Answer:

1 is a factor of 8

Step-by-step explanation:

1*8

Answer:

Step-by-step explanation:

1 x 8

Select the correct answer.
What does point A represent in this box plot?

Answers

Answer:

A represents C. The smallest value

Solve for y.
3.23(y – 18) - 19.17 = -19.17

у = ?


*please explain to me, step by step, how you got the answer, too, so I can understand.

Answers

Answer:

y = 18

Step-by-step explanation:

3.23(y – 18) - 19.17 = -19.17

3.23y - 18 x 3.23 = -19.17 + 19.17

3.23y - 58.14 = 0

3.23y = 58.14

3.23y/3.23 = 58.14/3.23

y = 18

A cylinder has a radius of 8 cm and a height of 4 cm

Answers

Answer: 8

c

m

=

4

c

m

=

Step-by-step explanation:

To factor the expression 3x2 – 9x, Caleb found the GCF as shown. List the factors: 3x2 = 3 • x • x 9x = 3 • 3 • x GCF = 3 • 3 • x • x = 9x2 What is Caleb’s error? Caleb factored 3x2 incorrectly. Caleb factored 9x incorrectly. Caleb found the product of all factors, not just the ones common to each term. Caleb did not make an error.

Answers

Answer:

Caleb found the product of all factors, not just the ones common to each term.

Step-by-step explanation:

answer

Caleb found the product of all factors, not just the ones common to each term. Then the correct option is C.

What is a factorization?

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 3x² – 9x

The factor of 3x² will be 3 · x · x.

The factor of 9x will be 3 · 3 · x.

GCF = 3 • 3 • x • x = 9x²

Caleb found the product of all factors, not just the ones common to each term.

Then the correct option is C.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ2

Which type of data is more "perfect"?

Answers

Answer:

The answer is Graph Data

Answer:
Graph data is more “perfect”

13.0 +4- 8 + 6r - 13.r - 4
PLEASE HELP WILL MARK BRAINY​

Answers

19r+5 is the answer. you combine all the like terms

The following graph shows the solution to which
inequality?
ANSWER BOTH PLEASE QUICK

Answers

Answer:

B. 5a-9<=11

Step-by-step explanation:

Heres a tip: ALWAYS look at the sign, if there is no line under the sign then it will always always be an open circle. also look at what way the sign is pointing so if the sign is this < then the line will go to the left

I just need to know if it’s a b c or d please and thx u

Answers

Answer:

i think its B

Step-by-step explanation:

sorry if its wrong have a good day/night ;)

Mr. Greene is preparing 28 bags of materials for his art class. Each bag needs 40 glass tiles. How many glass tiles are needed?

______ glass tiles

Answers

Answer:

Glass tiles needed

[tex] = (28 \times 40) \\ = 1120 \: tiles[/tex]

1120 because 28 * 40 is equal to that

. Mark's profile picture is 4 inches tall, but his actual height is 76 inches. What is the scale factor from his profile picture to his actual height?

Scale factor =
19
72
16
38
3b. If the profile picture of Mark's sister is 3.5 inches tall, how tall is her actual height?
Her actual height is _____ inches.
70
82
59.5
66.5

Answers

Step-by-step explanation:

Answer: 19, because all you´re doing for mark is dividing his actual height from the profile picture.

Marks sister: 66.5, because you will take her height (3.5) and you will put x over 3.5 in fraction form. Then you will take marks profile picture height, and put it in fraction form (76 over 4) then you will cross multiply 3.5 and 76 which will give you 266. Then you´ll divide 266 by 4 which would give you 66.5

If you help I'll mark as brainliest

Answers

Answer:

i need ponts

Step-by-step explanation:

use the quadratic formula to solve for x. 3x^2+9x+4=0

Answers

Answer:

x=−3/2 +1/6√33 or  x=−3/2 + −1/6√33

Step-by-step explanation:

Let's solve your equation step-by-step.

3x2+9x+4=0

For this equation: a=3, b=9, c=4

3x2+9x+4=0

Step 1: Use quadratic formula with a=3, b=9, c=4.

x=−b±√b2−4ac/2a

x=−(9)±√(9)2−4(3)(4)/2(3)

x=−9±√33/6

PLZ NEED HELP NOW TAKING TEST 40 POINTS
Two trains are traveling between city A and city B a distance of 4000 kilometers (km). The regular train travels at a speed of 80 kilometers per hour (km/h). The express train leaves at the same time on a parallel track and travels at 100 km/h. The formula for speed (S) is S=D/T where S is speed, D is distance and T is time. How much earlier will the express train arrive at city B?


10 HOURS

40 HOURS

50 HOURS

90 HOURS

Answers

Answer:

40 hours

Step-by-step explanation:

first i want to know the answer i think it is 40 hours or 10 hours or 50 or maybe 90 hours

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

10 cents an ounce‍♂️‍♂️

Answer:

10 I believe but I can't remember everything because I learned this like a year ago

What is the equation in standard form of a line that passes through the point (-2, 5) and has a slope of -0.3?

Answers

Answer:

y= −0.3x+4.4

Step-by-step explanation:

PLEASE HELP I WILL GEIVE BRAINLIEST AND 20 POINTS Which are characteristics of scientific questions? Check all that apply.


asking about subjective matters

having a wide focus on many topics

addressing a gap in knowledge

possibly leading to a testable hypothesis

already having fully confirmed explanations

Answers

Answer: 3 and 4

Step-by-step explanation: I took the quiz

Can y’all help me please

Answers

Answer:

Step-by-step explanation:

ezzzz

Simplify the following expression (2x⁴y⁻³)⁻¹

Answers

Answer:

please make sure the input is complete.

Step-by-step explanation:

Solve for x in the parallelogram

Answers

Answer:

[tex]x = 8[/tex]

Step-by-step solution:

2D dimensions give us this equation when it comes to parallelograms like these:

[tex] \frac{area}{height} = side[/tex]

In this case, x is side. So now you do 104/13=x, so x=8.

I need answers too these two questions pls

Answers

can you show the options? so i can chooseffffndnsns
1.) the government private business.

Max makes a scale drawing of the distance between Salt Lake City and Arizona. The distance between Salt Lake City and Arizona is 21 cm on the scale drawing. If each 7cm on the scale drawing equals 250 kilometers, how far apart are they actually?

Answers

Answer:

Actual distance = 750 km

Step-by-step explanation:

Given:

Scale drawing of distance = 21 cm

Scale ; 7 cm = 250 km

Find:

Actual distance

Computation:

Actual distance = 21[250/7]

Actual distance = 3[250]

Actual distance = 750 km

Select all ratios that are equivalent to 4/8

Answers

? Where’s the ratios ?

When you flip a biased coin the probability of getting a tail is 0.41.
Find the probability of getting a head.​

Answers

It would be 0.59. :))

easy just dont have time
Solve for x.

ax + b = r

Answers

Answer:

x=r-b/a

Step-by-step explanation:

ax=r-b

x=r-b/a

Answer:

x = r - b/a

Step-by-step explanation:

ax + b = r (Given)

ax = r - b (Subtract b on both sides)

x = r - b/a (Divide a on both sides)

A 4-meter ladder is placed against a wall so
that it reaches a height of 3.7m. To the nearest
tenth of a meter, how far away from the base
of the wall are the feet of the ladder?

Answers

Answer:

1.5 meters.

Step-by-step explanation:

The ladder is 4 meters.

It reaches the height of 3.7 meters on a wall.

This creates a right angled triangle of hypotenuse (4 meters) and height (3.7 meters).

We are to find the base length.

Applying the Pythagorean theorem;

a² + b² = c² , where a is the base length, b is the height length and c is the hypotenuse length.

∴ a² = c² - b² = 4² - 3.7² = 2.31

a (base length) = [tex]\sqrt{2.31}[/tex] = 1.519868415 meters

To round off the answer to the nearest tenth of a meter;

Tenth of a meter = [tex]\frac{1}{10}[/tex] × 1 meter = 0.1 meters

So we're rounding off the answer to one decimal place.

I.e 1.519868415 meters = 1.5 meters (rounded off to the nearest tenth of a meter.

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