The formula for continuous compound interest is a = pert, where a is the amount of money after compounding, p is the original amount invested, r is the annual interest rate expressed as a decimal, and t is the number of years. for which of these functions does t(r) represent the number of years it would take an amount of money to triple if it were compounded continuously at r percent per year? a) t(r) = r ln 3 b) t(r) = ln 3 r c) t(r) = ln r 3 d) t(r) = 3 ln r

Option B.

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

Let

x-------> the Principal amount of money to be invested

we have  

substitute in the formula above  and solve fot t

Applying ln both sides

Convert to function notation

$4034.40

the perimeter of the field is the sum of the lengths of the four sides:

47 yd + 158 yd + 47 yd + 158 yd = 410 yd

the cost of 3 ft (1 yd) of fence is 3×$3.28 = $9.84.

so the cost of jake's wood perimeter fance is

(410 yd) × ($9.84 /yd) = $4034.40