It's obvious that every normal person has ten fingers. Since we have ten fingers, our numbering is based on multiples of ten which is called decimal. Can you imagine how life would be different if all human beings were born with eight fingers instead of ten? Maybe our numbering system would be based on multiples of eight. A numbering system based upon eight exists and is called octal. Octal numbering is used behind the scenes in computer systems.
In the equation
, a is the initial amount and b is the growth factor. So our initial amount is 30 and our growth factor is 8.3. Your correct choice for this is A.
A withdrawal from an account means taking money out of your account. That means whatever money you have in there becomes a smaller amount because you're subtracting money from the account.
So, to work out how much money Jan withdrew as a negative sum, you just have to look at how much she took out:
-25 - 45 - 75 = -$145
This means Jan took out $145 from her account, and we write it with a negative sign because it's money that's going to be taken away from whatever's in there.
The same thing applies to Julie:
-35 - 55 - 65 = -$155
Julie took out $155 from her account, so her withdrawals were -$155.
Therefore, your final answer for 24a. is -$145 and your answer for 24b. is -$155.
theta is in the fourth quadrant where the cosine is positive.
the third side in the triangle = sqrt (4 - 2) = sqrt2
So sin theta = -sqrt2/2 = Second choice (negative because sine is negative in 4th quadrant)
tan theta = - sqrt2 / sqrt2 = -1
