Answer:

 

Present Value				Years			Interest Rate				Future Value
	$	300			14.14			10	%			$	1,155
		1,991			8.23			8					3,750
		32,905			20.18			13					387,620
		32,600			9.94			20					199,724

 

 

In this sum we have been provided with the prasent value,interest rate and future value what we need is to calculate the period

 

FV = PV(1 + r)t

Solving for t, we get:

t = ln(FV / PV) / ln(1 + r)

 

FV = $1,155 = $ 300(1.10)^t

t = ln($1,155/ $300) / ln(1.10)

Solving this equation we will get

Time =14.14 years

 

 

FV = $3750 = $ 1991(1.08)^t

t = ln($3750/1991) / ln(1.08)

Solving this equation we will get

Time =8.23 years

 

FV = $387620 = $ 32905(1.13)^t

t = ln($387620/329056) / ln(1.13)

Solving this equation we will get

Time =20.18 years

 

 

FV = $199724 = $ 32600(1.20)^t

t = ln($199724/32600) / ln(1.20)

Solving this equation we will get

Time =9.94 years