Answer:
see below
Step-by-step explanation:
Video Game
20% off means you pay 80%
80 dollars * 80% =
80 * .80 = 64
Movie ticket
14 original price
Sale price = 11.40
14* p% = 11.40
Divide each side by 14
p% = 11.40/14
p% =81.4285714
You paid 81 3/7%
The discount is 100 -81 3/7%
18 4/7 % discount
Laptop
1000 original price
Sale price = 750
1000 * p% = 750
p% = 750/1000
p% =75%
You paid 75%
The discount is 100 -75%
25 % discount
Counting backwards next is 1
8 can go into 71 seven times
Answer:
k = 30, 
Step-by-step explanation:
Since 
is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that
Then, replacing the derivatives in the equation we have:
Since 
is a positive function, we have that
.
Now, consider a general solution 
, then, by calculating the derivatives and replacing them in the equation, we get
We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.
Therefore, the general solution is
