A) 7480$ will be in the account at the end of one year.
B) $6460 will be in the account at the end of 2 years.
Answer:
x/6 + 5 = 7
x/6 = 2
x = 12
Step-by-step explanation:
Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
we are asked to divide 5 over 536. Since the number we are diving by is larger than 5, the answer is a decimal number, the division can be done like this:
We need to add zeroes to the 5 until we get a number that is largest than 536, every time we do that we also add a zero to the answer, like this:
Now, if we multiply 536 by 9 we get 4824, we subtract that from 5000, like this:
Therefore, the answer is 0.009 with a remainder of 176
