For a us census clock based on the 2000 census, the birth light would flash every 10 seconds, the death light every 16 seconds, the immigration light every 81 seconds, and the emigration light every 900 seconds, to indicate gains and losses in population.

a. if the birth and death lights flashed at the same time, how many seconds would pass before they flashed together again?

show work

80

Step-by-step explanation:

Let's pretend we start a stopwatch when the birth and death light flash together.  The birth light will flash at 10 seconds, 20 seconds, 30 seconds, etc.  The death light will flash at 16 seconds, 32 seconds, 48 seconds, etc.

So the trick here is to find the least common multiple (LCM) of 10 and 16.  To do that, we write the prime factorization of each:

10 = 2×5

16 = 2⁴

The LCM must include all these prime factors without any duplicates.  So the LCM = 2⁴×5 = 80.  We can check our answer by dividing:

80 / 10 = 8

80 / 16 = 5

So 80 is indeed a multiple of both 10 and 16.

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.

its electric no smoke

step-by-step explanation: