if given log(a)=b, where no base is stated, we assume base 10, or 
also, 
translates to/can be written equivilently as 
therefore, given
where we want to find ?
assume base 10 and translate
since we cannot raise a positive number to any real power and give a negative number, ? is not a real number and therefore, there are no real solutions
if we do want to find a solution, we can use Euler's idendity
where i is the complex number i=√-1 and e is euler's number
we can try to change bases to find the value of ?
so
taking ln of both sides
using log rules
divie both side by ln(10)
in a+bi form
there are no real numbers that it evaluates to
however, it does evaluate to a complex number which is 
or aproximately 1.11394+1.36438i
Formula : Amount of change / Original amount
1. 144 - 90/ 144
2. Subtract 144 and 90
3. 54/ 144
4. Divide 54 by 144
5 0.375
6 Move the decimal two places to the right.
7. 37.5 %
Answer: 37.5% is the markup rate
Answer:
Can i see an picture plz????? I think C but I can't be sure there has to be a picture with this. I think C.
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
