R, S, and T represent the lengths of the three sides of a right triangle. Select the equation that represent the relationship between R, S and T. (the two's are exponents) a. R 2+ S 2= T 2

b. R 2+ T 2 = S 2

c. R 2 + R 2= S 2

d. T 2 + S 2= R 2

e. T 2- S 2= R 2

The future value (A) of a one-time investment of principal amount P at interest rate r compounded n times per year for t years is ...

... A = P(1 +r/n)^(nt)

Putting your given numbers into the formula, we have

... 876.34 = 300(1 +.06/4)^(4t)

Taking logarithms, this becomes the linear equation

... log(876.34) = log(300) + 4t·log(1.015)

Solving for t in the usual way, we get

... log(876.34) -log(300) = 4t·log(1.015) . . . . . . . subtract the constant term on the right

... (log(876.34) -log(300))/(4·log(1.015)) = t ≈ 18.00 . . . . divide by the coefficient of t

It will take 18 years for the $300 CD to reach a value of $876.34.