The graph of the data set will help you to understand if the data is displayed in the form of an exponential model. Example: if the data (when graphed) is similar in shape and growth to that of the graph of f(x)=e^x, then it could be deemed helpful.
In order to have a linear equation, you have to write an equation like
The sequence has to start with 3, so we must choose , because this guarantees that when we have
Now, must be even. In fact, if is even, will always be even for every possible , and will be odd.
So, for example, you might choose
Which will produce the following sequence:
and so on
scale factor=shadow: real figure
s.f=4:6
=2:3
applying the same to the pole
let x be the real height of the pole.
2:3=20/x
3×20=2x
60=2x
60/2=2x/2
x=30feet
Answer:
Step-bAmount at the end of 2 years = Rs. 21,160
Amount at the end of first year = Rs. 18,400
So interest for first year = Rs. 2400
Interest for second year = Rs. 2760
Explanation:
A = P (1 + r/n)^nt
P = 16,000
A = ?
r = 15% = 15/100
n= 1
t = 2
Substituting the values in the formula, we get:
A = 16000 (1 + 15 / 100) ^2
A = 16000 (23 / 20) ^2
A = 16000 * 23 * 23 / 400
A = 40 * 23 * 23
A = 21160
Amount at the end of 2 years = Rs. 21,160
Amount at the end of first year = Rs. 18,400
So interest for first year = Rs. 2400
Interest for second year = Rs. 2760
hope helpful