A1=6.9
a) an=(an-1)(1.1)
b) an=(6.9)(1.1^n-1)
c) 46.419 billion
Answer:

Step-by-step explanation:
The given initial value problem is;

Let

Differentiating both sides of equation (1) with respect to
, we obtain:

Differentiating both sides of equation (2) with respect to
gives:

From equation (1),

Putting t=0 into equation (2) yields

Also putting t=0 into equation (3)

The system of first order equations is:

Answer:
i don't know a counterexample for the first one
A counterexample for the second one is a leaf bug
A counterexample for the third one is a trapezoid, rectangle, rhombus
Answer:
Third sequence (7, 2, 1, -4, -10)
In the first sequence, -4 has to be in front of -10 because it is larger.
In the second sequence, 7 goes in the beginning, with 2 then 1 following, with -4 behind and -10 behind -4.
In the third option, 7 must be in the front, with 2, 1, then -4, then -10 following.
The answer = third sequence.
Hope it helped!
120 cupcakes
Even # rows
Odd # columns
12: 1, 2,3,4,6, 12 (integers?)
I see only one arrangement with odd column & even rows
3 columns, 40 rows
That's mainly because 120 is an even number.