What is the greatest integer, k, such that 5^k is a factor of the product of the integers from 1 through 24, inclusive?

k = 4

Step-by-step explanation: greatest k, which 5^k is a factor of

the product of the integers from 1 through 24

From 1.2.3...24, if we factor all these numbers to prime integers, we can find 5 in: 5, 10, 15 and 20.

5; 2.5; 3.5; 4.5, so 5^4 is a factor of this product.

This way, k = 4

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.