She earns $5.50 for every hour so:

3 hours and 45 minutes is 3.75 hours.


After rounding, she earns $20.63.
Answer:

Step-by-step explanation:

(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Symmetric Property of Equality)
(Divide both sides of the equation by
to get rid of
's coefficient; remember that
, so
has a coefficient of
)
(Simplify)
Hope this helps!
Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) =
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) =
is divisible by 2 and 3 for all positive integer n.
The value of f(5) is 
Step-by-step explanation:
The function is 
To find
substitute
in 

Multiplying the terms, we get,

Adding the terms, we get,

Thus, the value of
is 