Please work out these Interest problems involving logs step by step please. Ignore the work done

Advanced Algebra B Solving Interest Problems Involving Logs 1-09#N Name Caden Warm Up: If a $500 certificate of deposit earns 4# % compounded monthly, then how much will be accumulated at the end of a 3 year period? What if you needed to find the time? Example 1: How long does it take to double $1,000 at an annual interest rate of 6.35% compounded monthly? 2,000 = 1000 (14 9 7 7 35 1000 1000 - 2 Log 1, 0 05 3 2 = 12+ goitsupe laine how s to noUslugogenTE 2 = 1.0053 124 1,0053101 = 2 - shed onli Log 2/ gog arty baja $8919Si = (3)1 Log 1.005 3 = 127 131, 1288 Example 2: How long will it take $30,000 to accumulate to $110,000 in a trust that earns a 10% annual return compounded semi-annually? 1 10,000 = 30,000 ( 16 -10 ) 12+ 1 = 10 Herd s everi f1 30,ooo nsin work ni ,169 799 8fal vd bozaboob bnis 060,852 lo sulev s and 150 won A 3. 67= 1.05 24 log, 3. 67= 24 Log 3.635 * 26.65 - 24 2 13.32 annually? You Try: How long will it take our money to triple in a bank account with an annual interest rate of 8.45% compounded 30, 002 initial Log 10845 3 =6 90,000 = 30 p00 ( 14 0.845 ) shelord to Day1 histies s to (q) nouelugogent 100 LOG 31 01 nonslug live sool so0 30, 000 3 = 1.0845 Log 1.0845 14 yrs 13.543 =4 Example 3: How long does it take to double $1,000 at an annual interest rate of 6.35% compounded continuously? 2,000 = 1,00UC .0635 1 (n2 = 0.06 35# Log 1000 0 1000 mit 16 292601 0.6 35 (cons. = 0.635+ 2 = 6 10635 Lose 2 =0 . 6 35#10 6= 13, 002 0 ghol w Loge ! 0. 6951 20.6 35 You Try: How long will it take $30,000 to accumulate to $110,000 in a trust that earns a 10% annual return compounded 10635 .08 35 continuously? 110 000 - 30, 00#e 30, 000 30,000 3. 67 = 21 14 Loge 3.67= .H Log 3.67 = .14 1 3 YRSI (n 3. 67=. 14 Loge '