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If I make annual deposits of $8700 into a retirement account that pays 10.1% interest compounded monthly, How large will my account balance be in 33 years. Help is greatly appreciated as I cannot figure this out.

Given all the above info, you should have saved a staggering $2,189,952.28.

If you're talking about on this site, people try to respond as fast as they can, but depending on who is online, whether registered users or guests, it depends on their skill set and whether they know how to answer your question(s) :)

9966666646477=331 x 155707 x 193381

788899999=523 x 1 508413

As you can see, they have NO COMMON FACTOR at all.

2 + 2 = 4

Next time use a calculator, such as the one found on the home page of this site :)

You need to figure out how much 10.1% interest is, by multiplying 10.1 by 8700

Then, since you're trying to find out how large your account balance will be in years and that interest is monthly, you multiply the interest by 12 and then add that on to 8700

After that, you add up the number you got above, 33 times for the 33 years,

Hopefully this helps! :) I appologize in advance if this in incorrect

This is off of Google since I'm not very good at explaining...

The substitution method is most useful for systems of 2 equations in 2 unknowns. The main idea here is that we solve one of the equations for one of the unknowns, and then substitute the result into the other equation. Step 1: Solve one of the equations for either x = or y = .

And this video from Khan Academy might be helpful too :)

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-with-substitution/v/the-substitution-method

2(6x+1)=4(x-5)-2     simplify on both sides by distributing

12x + 2  = 4x - 20 - 2    

12x + 2  = 4x - 22     subtract 4x, 2 from both sides

8x  = - 24         divide both sides by 8

x = -3

Solve for x:
2 (6 x+1) = 4 (x-5)-2

4 (x-5) = 4 x-20:
2 (6 x+1) = 4 x-20-2

Grouping like terms, 4 x-20-2 = 4 x+(-2-20):
2 (6 x+1) = 4 x+(-2-20)

-2-20 = -22:
Answer: | 
| 2 (6 x+1) = 4 x+-22

x=-3

4 ( x + 2)  =

4*x  + 4*2   =

4x + 8

NO!!!!

In general, there is no property such that :

(a + b)ⁿ  = aⁿ + bⁿ

2x = 3     divide both sides by 2

x = 3 / 2

Very nice, Omi......but.....I'm looking for a more general solution........the tangent line could be at any point on the parabola........

I didn't mean for the diagram to have any specific numerical values for the vertices of triangle .........see if you can prove this in an abstract manner.......

C = 2 * 3.14 * 21.2   = 133.136 in

We are essentially dividing 45 minutes into 9 parts....and each part = 5 minutes

So .......  4 parts x 5 min = 20 min

And....... 5 parts x 5 min  = 25 min  

So.....the ratio   =

20 min  :   25 min

In a right triangle.......the cosine is the ratio of the length of the side adjacent to either acute angle to the length of the hypotenuse........

getting this off the web ...

the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.

https://www.mathsisfun.com/definitions/cosine.html - for more info

All right, I see. Thanksabunch.

Thanks didn't realize that. I think I found the answer I was looking for. Thanks Again!

Unfortunately.......when we have one equation with multiple unknowns, we will have infinite solutions...

[ X * ( 4 + Z) ] / Y  +  6 = 8

If we let X = 1 , Y = 2 and Z = 0  ....... this will solve the problem

If we let X = 2, Y = 4 and Z = 0  ........this will also solve the problem

And we could extract as many solutions as we wanted to by choosing appropriate values for all three variables......!!!!!!

Does X = 2, Y = 5, and Z = 1?

(answeryes or no)

(posted by person who made question)

I assume you have this :

9 ( 2m - 3)^2 + 8 = 449       our goal is just to end up with the (2m - 3)^2 part on the left side...so....

Subtract 8 from both sides

9 (2m - 3)^2  = 441     

Divide both sides by 9

(2m - 3)^2   = 49

Now.....here's where we can use the square root property......take the square root of both sides.....but remember......on the right we need to take the plus and minus square root of 49.....so we will have two equations

2m - 3   =  sqrt 49)                and          2m - 3  =  -sqrt (49)

And we have

2m - 3   = 7                          and          2m - 3 = -7

Add 3 to both sides

2m   =  10                           and            2m  =  -4

Divide both sides by 2

m = 5                                 and        m  =  -2

Pretty easy, huh ????

Thanx Cphill

+ 5 from me 

Here's an example :

6.3  =  6 + 3/10

If you enter 6 + 3/10 into the calculator, it should give you the improper fraction of 63 / 10

Our on-site calculator will actually convert any whole number and decimal to an improper form....so...6.3  is directly converted to 63 / 10

On some calculators it has two arrows, kinda like <> and it'll convert if you click that.

I assume you want to write an equation of a line using  the point (5 , 5)  and a slope = 3  ????  If so, we have.......

y - 5 = 3 (x - 5)    simplify

y - 5 = 3x - 15     add 5 to both sides

y = 3x - 10

And that's in slope-intercept form.....