ECONOMICS (CBSE/UGC NET)

ECONOMICS

COMPOUND INTEREST

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
A
y = 15(35)x
B
y = 15(1.35)x
C
y = 15(0.35)x
D
y = 35(1.15)x
Explanation: 

Detailed explanation-1: -Initial Value: The initial value of an exponential function is the result of substituting x=0 into the function. In the exponential function f(x)=abx f ( x ) = a b x, the initial value is a .

Detailed explanation-2: -An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x. Where a>0 and a is not equal to 1. x is any real number.

Detailed explanation-3: -A simple example is the function f(x)=2x. is an example of exponential decay. It gets rapidly smaller as x increases, as illustrated by its graph. In the exponential growth of f(x), the function doubles every time you add one to its input x.

Detailed explanation-4: -The exponential growth function can be written as f ( x ) = a ( 1 + r ) x, where is the growth rate. The function f ( x ) = e x can be used to model continuous growth with. The function f ( t ) = a ⋅ e r t can be used to model continuous growth as a function of time.

There is 1 question to complete.