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In Math / Junior High School | 2024-10-16

1. P=155.000 R=10% T=5yrs & 3months M=quarterly 2. P=175.000 R=1.5% T=3yrs&6months M=semi-amually calculate answers​

Asked by jansenpostrero

Answer (1)

Answer:4Let's break down these compound interest calculations step-by-step. Problem 1 - P (Principal): 155,000- R (Interest Rate): 10% = 0.10 (decimal form)- T (Time): 5 years & 3 months = 5.25 years (since 3 months is 1/4 of a year)- M (Compounding Frequency): Quarterly (4 times a year) Formula: A = P * (1 + (R/M))^(M*T) Where: - A = Amount after time T- P = Principal- R = Interest Rate- M = Compounding Frequency- T = Time Calculation: A = 155,000 * (1 + (0.10/4))^(4 * 5.25)A = 155,000 * (1.025)^(21)A ≈ 246,786.42 Answer: The amount after 5 years and 3 months will be approximately P246,786.42. Problem 2 - P (Principal): 175,000- R (Interest Rate): 1.5% = 0.015 (decimal form)- T (Time): 3 years & 6 months = 3.5 years- M (Compounding Frequency): Semi-annually (2 times a year) Calculation: A = 175,000 * (1 + (0.015/2))^(2 * 3.5)A = 175,000 * (1.0075)^(7)A ≈ 186,070.12 Answer: The amount after 3 years and 6 months will be approximately P186,070.12.

Answered by maryroselyngomez5 | 2024-10-16