We are told that Carrie borrows $960 interest free to pay for a car repair. She will repay $120 monthly until the loan is paid off and we are asked to find how many months will it take Carrie to pay off the loan.
In order to find out the number of months to pay off the loan we will divide total amount borrowed by monthly loan installment.
![\text{Number of months to pay off the loan}=\frac{960}{120}=8](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20months%20to%20pay%20off%20the%20loan%7D%3D%5Cfrac%7B960%7D%7B120%7D%3D8)
Therefore, Carrie have to pay $120 for 8 months to payoff the loan.
Answer:
5/6
Step-by-step explanation:
By the chain rule,
![g(x)=f(x^2)\implies g'(x)=2xf'(x^2)](https://tex.z-dn.net/?f=g%28x%29%3Df%28x%5E2%29%5Cimplies%20g%27%28x%29%3D2xf%27%28x%5E2%29)
so
![g'(2)=2\times2\times f'(2^2)=4f'(4)](https://tex.z-dn.net/?f=g%27%282%29%3D2%5Ctimes2%5Ctimes%20f%27%282%5E2%29%3D4f%27%284%29)
You were able to find
![h'(2)=f'(f(2))\times f'(2)](https://tex.z-dn.net/?f=h%27%282%29%3Df%27%28f%282%29%29%5Ctimes%20f%27%282%29)
, which requires knowing both
![f(2)](https://tex.z-dn.net/?f=f%282%29)
and
![f'(2)](https://tex.z-dn.net/?f=f%27%282%29)
. Do you also happen to know
![f(4)](https://tex.z-dn.net/?f=f%284%29)
and
![f'(4)](https://tex.z-dn.net/?f=f%27%284%29)
?
Answer:
Step-by-step explanation:7/10 is the answer
Answer:
y + 6 = - 2(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y + b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 2 and (a, b) = (4, - 6) , thus
y - (- 6) = - 2(x - 4) , that is
y + 6 = - 2(x - 4)