Answer with explanation:
Let A be the Initial Amount.
Initial rate of Interest =8 %
Let , t = Time Period.
Since rate of Interest is compounded semiannually.
So, New rate of Interest = 4 %
New time period =2 t
Formula for Amount
Present value of Money at 8% compounded semiannually
-------------------------------------------------(1)
Let after ,Time period =h, the value of money doubles at 7.6 % compounded continuously.
-------------------------------------------------(2)
Equating (1) and (2)
where,t and h are integers.
Taking log on both sides
Replacing , t by y ,and h by x we get
Substituting the values of log 2, log (1.076), and log (1.04) in the above equation
So, for distinct values of x we get distinct values of y.