Answer:
Option B
$65.4
Step-by-step explanation:
Imposing 6% tax on the full price would mean the final amount that should be paid will be equal to 106% of the full price, also expressed as 1.06 and this is equivalent to 1.06*90=$95.4.
However, since there's a coupon then the payment will be less the value of coupon. Therefore, final payable amount will be 95.4-30=$65.4
Answer:
(a). y'(1)=0 and y'(2) = 3
(b). 
(c). 
Step-by-step explanation:
(a). Let the curve is,
So the stationary point or the critical point of the differential function of a single real variable , f(x) is the value 
which lies in the domain of f where the derivative is 0.
Therefore, y'(1)=0
Also given that the derivative of the function y(t) is 3 at t = 2.
Therefore, y'(2) = 3.
(b).
Given function,
Differentiating the above equation with respect to x, we get
![y'(t)=\frac{d}{dt}[k \sin (bt^2)]\\ y'(t)=k\frac{d}{dt}[\sin (bt^2)]](https://tex.z-dn.net/?f=y%27%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bk%20%5Csin%20%28bt%5E2%29%5D%5C%5C%20y%27%28t%29%3Dk%5Cfrac%7Bd%7D%7Bdt%7D%5B%5Csin%20%28bt%5E2%29%5D)
Applying chain rule,
![y'(t)=k \cos (bt^2)(\frac{d}{dt}[bt^2])\\ y'(t)=k\cos(bt^2)(b2t)\\ y'(t)= kb2t\cos(bt^2)](https://tex.z-dn.net/?f=y%27%28t%29%3Dk%20%5Ccos%20%28bt%5E2%29%28%5Cfrac%7Bd%7D%7Bdt%7D%5Bbt%5E2%5D%29%5C%5C%20y%27%28t%29%3Dk%5Ccos%28bt%5E2%29%28b2t%29%5C%5C%20y%27%28t%29%3D%20kb2t%5Ccos%28bt%5E2%29)
(c).
Finding the exact values of k and b.
As per the above parts in (a) and (b), the initial conditions are
y'(1) = 0 and y'(2) = 3
And the equations were
Now putting the initial conditions in the equation y'(1)=0
2kbcos(b) = 0
cos b = 0 (Since, k and b cannot be zero)
And
y'(2) = 3
![$\therefore kb2(2)\cos [b(2)^2]=3$](https://tex.z-dn.net/?f=%24%5Ctherefore%20kb2%282%29%5Ccos%20%5Bb%282%29%5E2%5D%3D3%24)
Answer:
The family budget to make the one-way trip should be $70.
Step-by-step explanation:
Given: The cost of three gallons of gasoline=$10.50
Therefore, the cost of one gallon of gasoline=
Since, they need 20 gallons for driving out of state to her grandmother’s house.
The cost of 20 gallons of gasoline =
Therefore, The family budget to make the one-way trip should be $70.
Hope this <u><em>Helped!</em></u> :D
Answer:
Yes
Step-by-step explanation:
It not a continues number like 1.33333... therefore it is rational. If it went on forever it would be concidered irrational.
