Answer:
16.67% less
or
she only made 83% of her anticipated $18,000
Step-by-step explanation:
3000/18000 = 0.1666 or 16.67% less
15000/18000 = 0.8333 or 83% 
 
        
             
        
        
        
Answer:
It will take approximately 3.34 hours for the drug to decay to 90% of the original dosage
Step-by-step explanation:
As suggested, we use the formula for exponential decay:

From the given information, the half life of the drug in blood id 22 hours, so that means that it takes that number of hours to go from the initial value  , to a final value equal to
, to a final value equal to  . Using this information we can find the decay rate "k" by solving for this parameter in the formula, and using the natural log function to bring the exponent down:
. Using this information we can find the decay rate "k" by solving for this parameter in the formula, and using the natural log function to bring the exponent down:

Now we use this value for the decay rate "k" to calculate how long it would take to decay to 90% of the original dose;

 
        
             
        
        
        
Answer:
 
 
With F represent the variable of interest:



Step-by-step explanation:
For this case we have a normal limits for the temperature Range. The minimum is 660 F and the maximum 790 F.
We can find the midpoint of this interval like this:

And the difference between the midpoint and the limits are:


So then we can create the following inequality:
 
 
With F represent the variable of interest.:



 
        
             
        
        
        
Answer:

Step-by-step explanation:
we know that
In the right triangle ABC of the figure 
Applying the Pythagoras Theorem

substitute the given values 

Solve for c




 
        
             
        
        
        
Step-by-step explanation:
x + 8a = 25 + ax - 7a
x = 5
5 + 8a = 25 + 5a - 7a
5 + 8a = 25 - 2a
5 + 10a = 25
10a = 20
a = 2