Answer:
Step-by-step explanation:
8/11 is equal to x/20
Cross multiply
8 times 16 and 11 times x
128=11x
Divide
Then you get 11/128
Divide and simplify!!
It would be $18.94, because the hundredths place is the penny.
Answer:
f'(x)
Step-by-step explanation:
The derivative of the function:

The rule for the product of two functions:
f'(x)
Therefore
g(x)
g'(x)
f(x)
f'(x)
f'(x)
Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for
we must solve the equation
. Substracting 21100 from both sides, this equation is equivalent to
.
Using the quadratic formula, the solutions are
and
. The solution
can be neglected as the time t is a nonnegative number, therefore
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.