How long will it take money to double if it is invested at 8% compounded semiannually question mark 7.6 % compounded continuously?

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.

the anwser is d) 75°

step-by-step explanation: