Answer:
-9
Step-by-step explanation:
Using the sum/difference property of logarithms, we can rewrite the expression given as:
log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5
Next, we can use the power property of logarithms, and rewrite it again as:
3log b + 3log c - 1.5log a
Now, we can substitute the values of log a, log b, and log c:
3(11) + 3(-9) - 1.5(10)
33 - 27 - 15
-9
Simplifying, we get -9 as the answer.
9514 1404 393
Answer:
$32,528.58
Step-by-step explanation:
For simplicity, we'll assume each year has 365 days.
The future value A of principal amount P at rate r compounded daily for t years is ...
A = P(1 +r/365)^(365t))
We want P when A = 80,000, r = 0.075, and t = 12.
P = A/(1 +r/365)^(365t)
P = $80000/(1+0.075/365)^(365·12) ≈ $32,528.58
You will have to deposit about $32,528.58.
Answer:
The quotient is 
Step-by-step explanation:
We first use the remainder theorem to determine whether 
is divisible by
:
the remainder is zero which means is divisible by .
Now, we could do polynomial long division to find the quotient, but in this case, it turns out that guessing is easier.
is factored as
which means
which means the quotient is 
