A=10, B=11, C=12, etc.
Now, the "only" thing that remains to do is solving the above equation.
While making this problem I only made sure it has a solution. I didn't try to solve it myself and I didn't know it will end up with such "convoluted" polynomial. Sorry to everyone who tried to solve it... m(_ _)m
I think the best way to approach it is using the rational root theorem since we know that 
. Moreover we can deduce that 
since there is 
and 
.
After you succesfully solve it, you should get the answer 
.
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
_____
You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Answer:
132 days to 125.4 days percent of change
Step-by-step explanation:
p= N-O/O x 100% where p is the percent change, is the New value and O is
the Old value. We are given the Old value (132) and the New value (125.4) which we can substitute into the formula to calculate the percent change:
p= 125.4-132/132 x 100%
p= -6.6/132 x 100%
p= (-660/132%)
p= -5%
Answer: NO
Step-by-step explanation:
