We're looking for a solution of the form 
. By the chain rule, this solution should have total differential
and the equation is exact if the mixed second-order partial derivatives of 
are equal, i.e. 
.
The given ODE is exact, since
Then
With 
, we get
Number of hours worked: 8
earning per hour = $9
tax = 16%
First, multiply the number of hours by the earnings per hour:
8 x 9 = $72 (total earnings)
Now, find the tax amount by multiplying the total earnings by the tax percentage in decimal form (divided by 100)
72 x (16/100)= 72 x 0.16 = $11.52
Finally, subtract the tax amount to the total earnings:
Money left: 72-11.52 = $ 60.48
50 out of the 80 were adults if you have to round so it would be 5/8 then you just do 8×100 and then 5×180+70÷100 because you're want to do not do not do it
It would be 190 km because you do 5 x 3 to get 15 add a 0 at the end of it. Than at 40 because .8 of 150 is 40. Then 150+40= 190
The formula for circumference is
or
. We have a diameter for the semicircle, so let's use the diameter formula.
which is either
or C = 5.338 if we multiply pi in as 3.14. BUT this is only half a circle, so we only have half that distance around the outside. Therefore, the circumference of half this circle is 2.669 cm. But we need to add the 24 mm in. 24 mm in centimeters is 2.4 cm. So 2.669 + 2.4 = 5.069
