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Given Formula Substitution Final Answer Conclusion

0 {Show your solution) Given, Formula, Substitution, Finai answer and Conclusion. 0 Don't forget your Name, Grade 8: Section, Activity Title, and Date of Submission. A. Twelve thousand three hundred forty five was deposited in a bank paying 7% com pound interest per year. (1 - 7) Compute the future value after 5 years. (8 - 10) What is the total compounded interest amount after 5 years? B. Manila needs to borrow 1, 250, 500 US dollar for vaccine procurements and promise to pay after 2 years. Tokyo offered money at 3.5% interest compounded quarterly. Washington offered money at 3% interest compounded semiannually. While Beijing offered money at 10% simple interest. Compute the future values of each offer then compare. Which offer should Manila accept and why? Support your answer with computation. (11 - 18) Tokyo's Offer Computation (19 26) Washington's Offer Computation (27 - 33} Beijing's Offer Computation (34 - 35) Conclusion: C. How long will it take for 800,000 pesos to triple at 9% compounded semi-annually? (36 -43) Given, Formula, Substitution, Final answer and Conclusion. D. At what annual rate, compounded quarterly, will 345, 000 pesos to be accumulated into 500, 000 pesos after 5 years? (44-50) Given, Formula, Substitution, Final answer and Conclusion.A. Future value after & years ( FV ) : ( 1 -7 ) FV = P (It= ) " P = 12, 345 r = 7% = 0.07 n = 1 (compounded annually) + = 5 years FV = 15 , 109 . 12 The future value is approximately 15, 109.12 peror. (8-10) Total compounded interest amount after s years. Total Interest = FV- p Total Interest = 15, 109. 12 - 12, 345 Total Interest - 2 , 744. 12 pesos . The total compounded interest amount after I you is appoximating 2, 764. 12 pesos. B. comparing offers from Tokyo, Washington, and Beijing (1- 18 ) Tokyo's offer computation ( 19-26) washington's offer computation F V = P ( 1 + r ) " FV = P ( 1 + 1 ) it P = 1 , 250 , 760 P = 13250 , 500 r = 3 . 5 % = 0. 0085 r = 3% = 0.03 n = 4 ( compounded quarterly ) n= 2 ( compounded semi = annually ) t = 2 years t = 2 years FV = 1 , 250 , 500 ( 14 0.63]) 1 ( 4 ) ( 2 ) ( 2) ( 2 ) FV = 1, 2 50 , 506 ( 1+ 0.03/ 2 ) FV = 1, 250 , 500 ( 1. 00875 ) 8 PV = 1250, 500 ( 1013 ) " FV ~ 1, 330, 730 . 21 pesos FV = 1 , 3 11 , 298. 39 pesos wellub (27- 33 ) Beijing's offer Computation: ( 34 - 35 ) Conclusion : Simple Interst Formula : FV = P (itrt ) Manila should accept Tokyo's offer P = 1 ,250, 500 as it provides the highest future r = 16 % = 0. 10 value ( 1 380, 730. 21 7 pesos ) w/C means t = 2 years Manila will have to repair the leart PV = 1 , 250 , 500 (1+ 0. 10 ( 2 ) ) amount . Beijings offer may seem attractive FV = 1,2 50 , 500 ( 1.20 ) w/ 6% interest, but it's vimple interest FV = 1700 , 600 pesos and Tokyos compounded quarterly interests leads to a better deal for Manila.triple @ (36-43) To find the time it takes for 800,000 pesos at 9% compounded semi-annually . Use the Formula : FV = PCIt # 2t FV = 3 P 2 , 400 ,000 = 800 , 000 ( 1+0.69/ 2 ) FV = 3 ( 8 00,000) 3 = (1 . 045 ) 2t FV - 2, 400,000 In3 = In (1. 045 ) 2 t P = 8001000 r = 9 % = 0.09 In3 = 2t Eln ( 1. 04 3 ) he 2 ( compounded semi-annually ) + = In3 /zin (1. 045) t = 16.94 years It will take approximately 14.94 years for 800, 008 pesos to triple at compounded semi - annually. D. ( 44- TO) To find the annual rate compounded quarterly to accumulate 345,600 peros to 500, 060 pesos after I years: FV = 500 , 060 P = 345, 000 + = I years h = 4 (compounded quarterly ) use the formula : FV = P (1+ mm ) it 500 , 100 = 345, 060 ( It * ) 4 5 x ) 500 , 060 345,000 = (it r / 4 ) 20 5 / 3 = (1 + 1 / 4 ) 20 ( 5 / 3 ) 1 20 = Citr /4 1 / 4 = ( 5 ) 1/20 - 1 r = 4 ( 5) 1/20 - 1 r = 0 , 6199 or 1.99 6 * = 1.99 1 . An annual interest rate of approximately 1.99 % compounded quarterly, is needed to accumulate 395, 000 pesos to woo,080 pesos after 5 years . &quot