See attachment file below.
Hope it helped!
Answer:
is the solution
Step-by-step explanation:
Given
--- Correct expression

Required
Determine if the given solution is correct
To do this, we simply solve for x in the given equation.
So, we have:

Collect like terms


Divide both sides by -2



Answer:

Step-by-step explanation:
We have given,

and initial condition 
Now,

Rearranging the variables, we get

Applying integration both sides, we get

⇒
⇒
Putting the initial condition (i.e.,
), we get
⇒ 
⇒ 
∴ 
We have,
now putting the value of
in above equation, we get
⇒ 
⇒ 

Answer:
$80.73
Step-by-step explanation:
115 * 0.35 = $40.25 off
115 - 40.25 = $74.75 after sale
add tax (0.08)
74.75 * 0.08 = $5.98 tax
74.75 + 5.98 = $80.73 in total