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2 billion

thats  a 2 with 9 zeros after it.

The interest formula for continuous compounding is given by:

I = Pe^rt  Where P is the amt invested (34500), r is the rate (.066) and t is the time (30)

So we have

I = 34500e^(.066)(30) = $249874.63

Not bad, huh???

Nice try, GoldenLeaf, but I believe you gave compound interest.

The formula for simple interest is:

I = Prt   where P is what we invest, r is the rate, and t is the time in years.

So in the first case. we have

I = 5000(.085)(4) = $1700

In the second case, we have

I = 5000(.08)(4.5) = $1800 ......(54 months  = 4.5 years)

Choice 2 is better. Note that the amount we start with doesn't matter. (.085)(4) = .34,  but (.08)(4.5) = .36. So, as long as we start with the same amount, Choice 2 is always better!!

Everyone has their own answer.

This is a compare and contrast problem.

$${\mathtt{5\,000}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{0.085}}}{{\mathtt{12}}}}\right)}^{{\mathtt{48}}} = {\mathtt{7\,016.323\: \!774\: \!833\: \!980\: \!751\: \!8}}$$

$${\mathtt{5\,000}}{\mathtt{\,\times\,}}{\left({\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{0.08}}}{{\mathtt{12}}}}\right)}^{{\mathtt{54}}} = {\mathtt{7\,158.090\: \!240\: \!747\: \!356\: \!130\: \!5}}$$

Thus, Choice 2 is the correct answer.

Okay, I just remembered that I needed to add the '/12' there since we are going my monthly interest I presume?

Let's think about it in groups of 20.

Note, from 1  to 20, 5 numbers are divisible by 4.....4, 8, 12, 16, 20

And since there are 5 "20s" in 100, then 5 X 5 = 25 numbers divisible by 4.

Likewise, there are 4 numbers divisible by 5.......5 , 10 , 15 , 20

And again, since there are 5 "20s" in 100, then 5 x 4 = 20 numbers divsible by 5.

However, we have to subtract out the numbers divisible by both 4 and 5 to prevent "double counting."

These would be 20, 40, 60, 80 and 100.

Thus, we have 25 + 20 - 5 = 40 numbers divisible by 4 or 5 from 1-100, inclusive.

There is no dividing by a fraction. Thus, you must 'flip' the fraction (or take the inverse) and change the division sign to a multiplication sign. This makes:

$${\frac{{\mathtt{72}}}{\left({\frac{{\mathtt{3}}}{{\mathtt{4}}}}\right)}}$$

Into:

$${\mathtt{72}}{\mathtt{\,\times\,}}\left({\frac{{\mathtt{4}}}{{\mathtt{3}}}}\right)$$

This because, similar to subtraction and how subtracting a negative number from a positive number makes it addition, dividing a number that is already being divided just makes the two division signs cancel each other out and become a multiplication sign.

It is wise to make the 72 into a like fraction: That is, make the denominators similar between the two fractions. In order to do this, multiply 72 by 3, and then put that number over 3.

$${\mathtt{72}}{\mathtt{\,\times\,}}{\mathtt{3}} = {\mathtt{216}}$$

$${\frac{{\mathtt{216}}}{{\mathtt{3}}}}$$

This now makes like denominators between the fractions, and thus the whole thing can be put over 9 once the fractions are multiplied together.

$${\frac{\left({\mathtt{216}}{\mathtt{\,\times\,}}{\mathtt{4}}\right)}{{\mathtt{9}}}}$$

Multiply to make it a simpler fraction.

$${\mathtt{216}}{\mathtt{\,\times\,}}{\mathtt{4}} = {\mathtt{864}}$$

$${\frac{{\mathtt{864}}}{{\mathtt{9}}}}$$

Now simplify the fraction. This means dividing 864 by 9.

$${\frac{{\mathtt{864}}}{{\mathtt{9}}}} = {\mathtt{96}}$$

Your final answer is 96.

$${\sqrt{{\mathtt{3}}}} = {\mathtt{1.732\: \!050\: \!807\: \!568\: \!877\: \!3}}$$

$${\frac{{\mathtt{150}}}{{\mathtt{900}}}} = {\frac{{\mathtt{1}}}{{\mathtt{6}}}} = {\mathtt{0.166\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

$${\mathtt{0.166\: \!666\: \!666\: \!666\: \!666\: \!7}}{\mathtt{\,\times\,}}{\mathtt{100}} = {\frac{{\mathtt{50}}}{{\mathtt{3}}}} = {\mathtt{16.666\: \!666\: \!666\: \!666\: \!666\: \!7}}$$

So 16.666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666 (etc. etc. etc.) is your answer.

It makes me feel so evil to put this many 6's in one answer 

EDIT: I think I broke something.

I think you might be getting something confused, here.

The volume of a pyramid (with 3 or four sides) = (1/3) (area of the base) (height)

The surface area of one side is just (1/2 the base on that side) x ("slant height" on that side).

Thus, the surface area of all of the sides is found by totaling the surface area of all the individual sides.

If the base is an equilateral triangle, we can find the area of one side and multiply by 3. If it's a square, we can find the area of one side and multiply by 4. If it's a rectangle, we can find the area of two adjacent sides and multiply by 2.

Also, the area of the base must be considered. For a triangular base, it's just (1/2 the length of a side times an altitude drawn to that side). For a square base it's just the length of one of the sides squared. And if it's rectangular, then it's just the product of two adjacent side lengths.

I hope that helps.

The answer is 42

the answer is 42

what you do is hit 2nd and then hit asin to get inverse sine. For inverse tangent hit 2nd, atan and so on!

Believe me, I would join but the terms of agreement still don't set right with me. Thankyou for the invite but I have to decline.

(900 - 750) / 750 = 20% of the original amount free

To see this, note that they're "giving" you 150 ml "free"

This is  (1/5) of 750  = 20% "free"

Of course, my response is ....Why don't they let you pour 150ml out of the bottle and you can walk out of the store for nothing??

I guess it doesn't work that way, huh??

Of course...your mileage may vary...but here's what I've found on the web:

If I could draw a pic, I would.....

Now, the radius of the Earth must be 3960 miles...

And converting 200 ft to miles we have 200/5280 ≈ .0378 miles

Note that the line of sight is tangent to the Earth's radius where they intersect.

So, we have a right triangle with a hypoteneuse of  3960 + .0378 = 3960.0378 miles

And one leg is the Earth's radius. So by the Pythagorean Theorem we have

√(3960.0378²  - 3960² )  ≈ 17.3 miles

Great..Thank you :*

OK...so we have

1000(1 + r)(1 +r) = 1210      divide by 1000

(1 + r)²    = 1.21      take the square root of both sides

1 + r = 1.1               subtract 1 from both sides

r = .1  = .10 = 10%

How's that??

Please solve it without using log function 

Thanks...alan....I've answered so many questions that I'm going snowblind!!!