Answer:
c=80
Step-by-step explanation:
Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.
So let's see that characteristic equation:
20r^2+cr+80=0
The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.
a=20
b=c
C=80
c^2-4(20)(80)
We want this to be 0.
c^2-4(20)(80)=0
Simplify:
c^2-6400=0
Add 6400 on both sides:
c^2=6400
Take square root of both sides:
c=80 or c=-80
Based on further reading damping equations in form
ay′′+by′+Cy=0
should have positive coefficients with b also having the possibility of being zero.
Answer:
(x-7)(x-2)
Step-by-step explanation:
what multiples to 14, but add to -9 ?
-7*-2 = 14
-7*-2= -9
Answer: 6 hours
Step-by-step explanation:
Taylor cannot spend over $260.
Subtract the cost of the part needed for the repair:
= 260 - 80
= $180
$180 is left for fixing the car after buying the part.
As the labor costs $30 and now she cannot exceed $180 for labor, the total number of hours the mechanic can work is:
= 180 / 30
= 6 hours
The answer is 160. U multiply all. PUT ME AS BEST
1. Using "exact" interest, your charge will be
.. I = Prt
.. I = $855.28*0.154*(31/365)
.. I = $11.19
2. It will take 52.01 months to pay off the loan.
3. Your payment on 15,250 for 4 years will be $363.41. The effective interest rate that payment represents on a loan of $15,000 is 7.604%
4. Todd's monthly payments will be $409.06, so his total outlay will be
.. tax+license + down payment + loan repayment
.. = 1200 +1000 +48*409.06
.. ≈ $21,835