The next number would be 19.
Each number adds one more each time.
For example, 4+0=4, 4+1=5, 5+2=7, 7+3=10, 10+4=14, 14+5=19
Hopefully this makes sense, its kind of hard to explain.
Hope this helps :)
Non Residents:
f(x)= money in $ paid.
x=number of days.
f(x)=x(12+3.5)=15.5 x
f(x)=15.5x
Arkansas residents
f(x)=money in $ paid.
x=number of days.
f(X)=x+174
Now, we equate functions:
15.5x=x+174 (this is the equation)
15.5x-x=174
14.5x=174
x=174 / 14.5=12
Answer: the number of days is 12 days. The ecuation has one solution, because when I has solved it, I have had one solution.
Answer:
we need to prove : for every integer n>1, the number 
is a multiple of 5.
1) check divisibility for n=1, 
(divisible)
2) Assume that 
is divisible by 5, 
3) Induction,
Now, 
Take out the common factor,
(divisible by 5)
add both the sides by f(k)
We have proved that difference between 
and is divisible by 5.
so, our assumption in step 2 is correct.
Since is divisible by 5, then must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.
Therefore, for every integer n>1, the number is a multiple of 5.
The missing exponent is 2
hii
3x-1/5=x+1/3
3[3x-1]=5[x+1]
9x-3=5x+5
9x-5x=5-3
4x=2
x=2/4
x=1/2
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