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The solution to this question is similar to others in the same vein. There is, however, a rather complicated and rarely used TVM formula just for this type of problem. But, it will much easier task to sum the FV of all 520 payments.

But, before we do that we have to convert the interest rate from yearly compound to weekly compound.

6% comp. annually =5.83015671067 comp. weekly. We divide this nominal rate by 52 to get a weekly rate of =.112118398282%.

Then we simply sum them up on any good calculator, such as Wolfram/Alpha, and it should give the accurate result. This result comes to:

=$165,332.68 - which would be the balance in her College Fund when she turns 18.

I have checked this figure using the above-mentioned formula and they both agree.

Here is the summation using W/A:

http://www.wolframalpha.com/input/?i=sum+n(1.0011211839)%5E(519-n),+n%3D0+to+519

3.14

Find the following limit:
lim_(x->∞) e^x/x

Since e^x grows asymptotically faster than the polynomial x as x approaches ∞, lim_(x->∞) e^x/x = ±∞.
Additionally e^x>0 and x>0 as x approaches ∞, so lim_(x->∞) e^x/x = ∞:
Answer: |∞

 .6^14=7.8364164096 x 10^-4

72 gallons =  144 half gallons

So.....

144 / (1 / 8)   = 

144 * 8   =  

1152 cups available

1152 / [ 1 + 2/3]  =

1152 / [ 5/3]  =

1152 * 3/5  =

about 691 cakes

Which conversion factors are used to convert 12 m/s to kilometers per minute?

12 m/s x 60/60 =720/60 m/s. But since 60 seconds=1 minute. Therefore:

720/1 meters per minute. But, 1 km=1,000 meters, therefore:720/1000 =.72/1 km/minute, or just:

.72 km per minute.

( x + 1 ) ! / x!   =

[ (x + 1) * x * (x - 1) * ......* 3 * 2 * 1 ]  /  [ x * (x - 1) * (x - 2)*......* 3 * 2 * 1]   =

x + 1

712 ! / 710!   =

[  712 * 711 * 710 *........*3 * 2 *1 ]  /   [ 710 * 709 * 708*......*3 * 2 * 1 ]  =

712 * 711   =

506,232

An airplane travels east at an air speed of TAS = 400.0 m/s into a head wind WG of 35.0 m/s. What is the airplane’s ground speed GS?

groundspeed     the air       headwind 

         GS         =   TAS        -     WG

         GS          = 400m/s    -    35m/s

         GS          = 365m/s

The airplane’s ground speed is GS = 365m/s.

Let the equal sides of the black triangle  = x = length of the fold

And the area of this triangle = (1/2)x^2   = x^2/2

If the area of the square sheet of paper = 15cm^2, rhen one side = √15 cm

And the "white" area =  x (  √15 -x) + √15 ( √15 - x)  = (x + √15) (√15 - x)   =  

-x^2 + 15

So....since the two areas are equal, we have

x^2/2  = -x^2 + 15     add x^2 to both sides

3x^2 / 2   = 15      multiply both sides by 2/3

x^2 = 10        take the positive root of both sides

x = √10 in  = the length of the fold

nv, i got it, the answer is 8.

9h = 63     divide both sides by  9

h = 63/9  = 7  hours

If this is supposed to be

(2 + 5)4     simplify inside the parentheses

(7)(4)  = 28

If it's supposed to be   (2 + 5)⁴    we have

(7)⁴  =  (7²)²   = (49)²   = 2401

x^3+x^2+x+1    factor by grouping

x^2 ( x + 1) + 1(x + 1)    take out the common factor   ( x + 1)

(x + 1) (x^2  + 1)

A rectangular box has faces of area 48, 60, and 80. What is its volume?

Invertible, meaning it has an multiplicative inverse.

John's bank account was overdrawn. The status of his account was −- $211. He did not realize the problem and wrote another check for $54. The bank charged him a $24 fee for being overdrawn.

What was the new status of John's account at this point?
 

It is ALREADY in scientific notation!: 4 x 10^7 =40,000,000 in standard notation.

\(\frac{-3}{5}*3=\frac{-3*3}{5}=-\frac{9}{5}=-1\frac{4}{5}\)

40000000