For an exponential function the y-intercept is the "initial value" (not the common ratio).

will always be 2. if that's what you need
note that

because anything to the power of zero equals 0 (mathematically it's deciding something by itself)
Answer:
X=0.00667
Step-by-step explanation:
1/15x=10
multiply 15x the two sides
=15X*1/15x=15X*10
=drop 15x the left side
1=150X
=150X/150=1/150
therefore X=0.00667
The sum would be written as:

It goes from n=1 to =5 because it is the first 5 terms of the sum.
The sequence has a first term, a₁, of 1. The common difference, d, is 3. The explicit formula would then be:

Using the distributive property to simplify, we would have:
5% interest compounded annually for 3 years multiplies the initial balance by
... 1.05^3 = 1.157625
5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.
The difference of these multipliers is
... 1.157625 - 1.15 = 0.007625
If the difference in account balance is Rs 61.00, then the invested principal amount P is
... P*0.007625 = 61.00
,.. P = 61.00/0.007625 = 8000.00
The sum of money is Rs 8000.
6m + 15m+ 20= 75
6m+ 15m= 75- 20
21m= 55
m= 55/21
m= 2.61