Basic/Introduction level MATLAB 1. If a certain amount of money (called the prin

Question

Basic/Introduction level MATLAB

1. If a certain amount of money (called the principal P) is invested in a bank account, earning an interest rate percentage i compounded annually, the total amount of money Tn that will be in the account after n years is given by:

Tn = P (1 + i)n

Write an m-file script that prompts the user for the principal amount P and the annual interest rate percentage i (between 0 and 100), and outputs the total amount of money Tn for years n=3, 7, 13.

2.

A substance is said to be subject to exponential decay if it decreases at a rate proportional to its value. Symbolically, this can be expressed as the following differential equation, where N is the quantity and L (lambda) is a positive number called the decay constant:

dN = -LN dt

The solution to this equation is: N(t) = N(0)e-Lt

Here N(t) is the quantity at integer time t, and N(0) is the (initial) quantity (at time t=0) and L is the decay constant.

Larger decay constants make the quantity vanish much more rapidly. Use this fact to create a test table and then write the function called expDecay (with three arguments N(0), L, t and one return value N(t)) to solve the problem.

Explanation / Answer

1.

p=input('enter principal value: ');

i=input('enter interest rate between 0 to 100: ');

Tn3=p*(1+i/100)*3

fprintf('after 3 year total amount of money will be %f ',Tn3);

Tn7=p*(1+i/100)*5

fprintf('after 7 year total amount of money will be %f ',Tn7);

Tn13=p*(1+i/100)*13

fprintf('after 13 year total amount of money will be %f ',Tn13);

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