Observe the table and answer the following:

x	y
1	3
2	6
3	12
4	24
5	48
6	96

The initial value of the data represented by the table is ______.

The exponential function f(x) = 4.(1 + 5)^x

Write an exponential function if the cost of a pen increases from $5 at a rate of 2%.

Write an exponential decay function for the initial value of 467, decreasing at a rate of 35%.

The formula for calculating compound interest is _________.

The decay factor of an exponential decay function is _________.

The value of a if f(x) = a.3^x is ______.

The initial amount of the exponential decay function f(x) = 3.7^x is _________.

y= a(1 - r)^x

a=initial amount
y=final amount
r=decay rate

An application of the exponential growth is ____________.

formula for compound interest is
A=P(1+r/100)ⁿ
A=amount
p=principal
r=rate of interest
n=number of years

If f(x) = 4.9^x, then what is the value of f(x) if x = 3.

The range of the exponential function f(x) = 5.8^x is ________.

The initial amount of the exponential function f(x) = 3.4^x is ________.

The y-intercept of the function is ___________.

Harsh spends 35% of his monthly salary of $7000 on entertainment. Find the amount spent by him on entertainment.

Write the radical  using rational exponents.

The value of 3^5k = 531441 is _______.