The equation used to determine the amount A in an account after t years of continuous compounding is A = Pe^rt, where P represents the principal (or original) amount in the account and rrepresents the annual interest rate as a decimal. Six years ago, Dimitri invested $5,000 in an account in which
the interest is compounded continuously at an annual interest rate of 5.2%

a) Determine the current amount of money in the account.

b) How many years will it take Dimitri’s account to reach $7,500 (Round your answer to the nearest thousandth)

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.