Answer:
See below
Step-by-step explanation:
3rd row 420 | 21
4th row 20 | 1
5th row 100 | 5
6th row 1000 | 50
7th row 350 | 17.5
constant is 20
Differentiating the function
... g(x) = 5^(1+x)
we get
... g'(x) = ln(5)·5^(1+x)
Then the linear approximation near x=0 is
... y = g'(0)(x - 0) + g(0)
... y = 5·ln(5)·x + 5
With numbers filled in, this is
... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)
Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get
... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95
... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1
Answer:
13.4 or about two weeks
Step-by-step explanation:
so if she already has $56 and she needs $268 more to buy the phone so we'll do 268 divided by 20 to see how many weeks it will take which is 13.4 so you can either put 13.4 as the answer or you can put about two weeks because there are 7 days in a week and 13.4/7 is ~1.9 or 2
Answer:
105.6
hope this helps
have a good day :)
Step-by-step explanation:
Reflection across the x-axis (because there is a negative)
And
Vertical compression (because a is between 0 and 1)