1.05 should be it
Step-by-step explanation:
In a recursive formula, each term of the sequence is found by using the previous term. In this case, the sequence is geometric because we are multiplying each term by the same constant, called a common ratio.
To find this common ratio, we find the percent of change between terms. We do this by using the formula
% change = (amount of change)/(original amount)
The amount of change between the first two terms is 105-100 = 5. This makes the percent change
5/100 = 0.05
The amount of change between the second two terms is 110.25-105 = 5.25. This makes the percent change
5.25/105 = 0.05
However, the common ratio in the sequence is not 0.05. This is because multiplying by this decimal would make the terms decrease instead of increasing. In this case, we are taking 100% of the number and adding an extra 5% (0.05 = 5%); this makes our common ratio 105% = 1.05.
This gives us the recursive formula
Answer:
v = 10
Step-by-step explanation:
8 = 8v - 4(v+8)
Solve parenthesis
8 = 8v - 4v - 32
Subtract 4v from 8v
8 = 4v - 32
Add 32 on both sides
40 = 4v
Divide by 4 on both sides
10 = v
Answer:
9.936
Step-by-step explanation:
In(x+5)*x=5
ln(x^2+5x)=5
e^5=x^2+5x
148.4131=x^2+5x
x^2+5x-148.4131=0
x is 9.936 because logs can't be negative
Falling at the rate of 2.5 m/s for 45 seconds, the anchor fell
(2.5 m/s) x (45 s) = 112.5 meters .
If it wound up only 40 meters underwater, then it must have fallen
(112.5 m - 40 m) = 72.5 meters
from its storage position on the big cruise ship,
before it ever reached the water.
Since it was falling at the rate of 2.5 m/s, it took
(72.5 m) / (2.5 m/s) = 29 seconds
to get down to the water surface after it started dropping.
Answer:
integer and rational
Step-by-step explanation:
-28/4=-7
-7 is rational (no nonstopping decimal)
It's also an integer, but not a whole number, because whole numbers can't be negative.
