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sqrt(x-9)+15=0

There is no real number solution for this.......the minimum value for any square root is 0, and when we add 15 to that, we will always have something  > 0

Again, sometimes the questions submitted are unclear......If you are taking a test or doing homework, you'll need to justify your answer by stating what the assumptions are

Assumption: the interest rate is 10.1% annually compounded MONTHLY    Annual Deposit 8700

10.1% Annual = .84166667 MONTHLY

EFFECTIVE ANNUAL RATE would be (1.0084166667)^12 = 1.10580914922  Corresponding to a 10.580914922% APR

There are books with equations for different scenarios of cash flow analysis and there are calculators for calculating these equations but you MUST know how to use them

For the FUTURE Value (F) of a given ANNUAL payment (A) with discrete compounding (NOT CONTINOUS COMPOUNDING)   F = A (  (1+i)^n - 1)/i )   Where n =33  i =.10581  in this problem

Substitute:  F = 8700 ( ( (1.10581)^33) -1)/.10582 = $  2,189,952.30

Engineering Economic analysis was one of the most useful courses I took in Electrical Engineering way back when.  It will be VERY important to you in the future to understand the time value of money to be successful at money management/retirement/house buying/investing etc. Good Luck!!

Depends on what you mean:

1 + 1/2  x 600 ?

(1 + 1)/2 x 600?

(1+1)/(2 x600)

etc.     they all have different values.....you 'll need to be more clear in your question !

Pretty easy to plug it into the calculator and see if they are equal.....

The first term  =  -2.10557

The second term = 22.3159       So , OBVIOUSLY, they are NOT equal

I'll make assumptions:   Turtle  takes .013 hr to walk what distance?

Rate = .3 m/hr    Time = .013 hr

If you multiply   m/hr x hr  what do you get ?      hr cancels out and you are left with m (miles:distance)

SO:     m/hr  x  hr  =  m      Substitute the values into the equation

         .3 m/hr x .013 hr = m

           = .0039 m         .0039 m  x   5280 ft/m   =  (like before , the m cancels out and you are left with ft) = 20.592 ft

Oh I'm sorry CPhill I wasn't thinking! I'll be more careful next time

DAFUUUUUQ!?!?!?!

Because the payments are annual, we must convert the interest rate from monthly compound into annual compound: 10.1% / 1200=0.00841666667 +1=1.00841666667^12=1.10580914878 - 1 X 100=

10.580914878%, effective annual rate:

FV=P[((1 + .10580914878)^33 - 1) / .10580914878]

FV=8,700[251.718653073]

FV=$2,189,952.28

lol 

Saseflower.....we don't need to worry about common denominators when we multiply or divide fractions.....that's only necessary when we add/subtract....... .....it doesn't make your answer incorrect....it just leads [ sometimes] to extra work...!!!!

So we have

[2/3] / [1/6] * [2/3]/ [6/8]  =

[2/3 x 6/1] * [ 2/3 * 8/6]  =

[12/3] * [16/18] =

4 * [16/18]  =

4/1  *16/18 =

64/18 =

32/9

2 / [ 5 sqrt(5) - 3 ]

Multiply the numerator and the denominator by the conjugate of the denominator:

the conjugate of [ 5 sqrt(5) - 3 ] is [ 5 sqrt(5) + 3 ].

The numerator of the answer:  2 x [ 5 sqrt(5) + 3 ]  is  10 sqrt(5) + 6.

The denominator of the answer:  [ 5 sqrt(5) - 3 ] x [ 5 sqrt(5) + 3 ]  = 125 - 9  =  116.

nah bruh

Thanks CPhill! :)

r^4 = 84   take the plus/minus 4th root of 84....and we have

r = +/- (84)^(1/4)

r = +/- (3.027400104035091)

r to the 4th power equals 84???

r^4=84

r=84^1/4

r=3.02740

2/3 ÷ 1/6

Multiply 2/3 by 2 over 2 to get a common denominator

4/6 ÷ 1/6

Use the reciprocole

4/6 x 6/1

Multiply across

24/6

Simplify

4

There's the first problem, and hopefully it will help you in figuring out the second :) If you need more help just ask

wHAT!?

r^4=84

r=84^1/4

r=3.02740

Here's a few I found:

- If the bases of the exponential expressions that are multiplied are the same, then you can combine them into one expression by adding the exponents.

- If the bases of the exponential expressions that are divided are the same, then you can combine them into one expression by subtracting the exponents.

- When you have an exponential expression raised to a power, you have to multiply the two exponents.

- Any number or variable raised to the zero power is always equal to 1.

Hopefully this helps a bit :)

Here you go.....http://www.purplemath.com/modules/exponent.htm

Thanks for that resource, saseflower.....sometimes....I find trying to explain something is more confusing to the questioners and a "professional" presentation by someone else is a better route....

5 points from me....!!!!

1 + 1 ÷ 600(2)

Simplify

2 ÷ 1200

Divide

0.00166666666

EXCEPT 1, OF COURSE!!. But that's considered trivial!!.