Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
