10. In how many years t will Principal $3000 accumulate to $6000 at i(12) 12% compound MONTHLY? A) t = 8.1 B) t = 7.0 C)t = 6.9 D) t = 5.8 In Problems 11 through 13, given Amount Function:A(t) = P(1 + (m/m)mt. 11. What was the original deposit (Principal) P, if the accumulated amount A(5) = $70699.23 at annual interest at i(12)= 36% compound sy after 5 year? A) $2,400 B) $7,200 C) $12,000 MONTHLYD) $12,400 12. How many times to be compound per year, m - if P =$4,000,A(10) - $43,849.92 at i(m) =24%? [Window; Xmin = 0, Xmax = 100, Ymin = 0, Ymax = 20) A) 64 B) 52 C) 40 D) 28 if P - $4,000,A(5) - $16,182.23 (m) 13. What was the Effective Rate of Interest compound Semi-annually after 5 years? A) 15% B) 12% C) 24% D) 30% 14. Find the Present Value of $1 at t=0 over n=1 year = if the annual interest i = 1, which is determined by a(t) = V1+.44r. A) 2/3 B) 3/4 C) 4/5 D) 5/6 if the Present 15. Find the Present Value of $2000 at t = 0 over n= 10 years Value of S1 at t=0 over n=1 is equal to 0.64. A) $23.06 B) $25.86 C) $27.95 D) $32.01 16. How much does Ms. AnMeika Ursin should invest at present time t = 0, the Present Value = at an investment rate i = 25%, such that she will have amount of $40,000 after 20 years as shown in the time-line below. 1 $40,000 1 2 3 4 20 years 0 P.V. - ? A) $2,000.00 B) $1,640.88 C) $973.25 D) $461.17 17. If the force of interest is given by 8, what is the formula to calculate v = A) 1 - e-8 B) e-8 C) e8 - 1 D) - In(8)