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In Math / Senior High School | 2024-10-21

Patulong naman po need lang po talaga bukas. Brainliest po pag tama​

Asked by FullSunflower

Answer (1)

Answer:This is a problem about annuities, specifically a future value of an ordinary annuity. Here's how to solve it: 1. Identify the Variables:Future Value (FV): ₱1,000,000Interest Rate (r): 5% per year, compounded monthly, so r = 0.05 / 12 = 0.00416667 per monthNumber of Periods (n): 15 years * 12 months/year = 180 monthsPayment (PMT): This is what we need to find 2. Formula for Future Value of an Ordinary Annuity:FV = PMT * [((1 + r)^n - 1) / r] 3. Rearrange the Formula to Solve for PMT:PMT = FV / [((1 + r)^n - 1) / r] 4. Substitute the Values and Calculate:PMT = 1,000,000 / [((1 + 0.00416667)^180 - 1) / 0.00416667]PMT ≈ ₱3,951.27 Therefore, a payment of approximately ₱3,951.27 made at the end of every 6 months for 15 years will accumulate to ₱1,000,000 at 5% compounded monthly.

Answered by alixzamarirapacon | 2024-10-21