Lestari Novianti Sinurat
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Journal : Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam (JURRIMIPA)

Analisis Laju Pertumbuhan Kota Pematang Siantar dengan Menggunakan Konsep Integral Tak Wajar pada Tahun 2024–2025 Suvriadi Panggabean; Petra Putri Sarinah Pandiangan; Mhd Fachrizal; Arief Rachman Pakpahan; Alya Dwi Lestari; Livia Mutianda; Lestari Novianti Sinurat
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 1 (2025): April : Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i1.4579

Abstract

In this study, the population growth rate of Pematang Siantar City during the period 2022–2025 is discussed through an improper integral approach. Population growth patterns must be analyzed and predicted in the long term. Linear, geometric, and exponential growth models are used to analyze data taken from the Statistics Center. The calculation results show that the population growth rate changes every year, with an average change of 0.10% per year. The prediction for 2025–2026 shows a growth of 0.59%, indicating an increase in population. However, through an improper integral approach, it is found that a population that experiences a decrease in growth rate over time will reach a limited cumulative total population value, even if the population continues to increase. These results indicate that a long-term downward trend can lead to population shrinkage, uncontrolled growth can lead to population density. As a result, this study is expected to provide a scientific basis for population policies and sustainable development planning in Pematang Siantar City.
Penerapan Jadwal Amortisasi dan Dana Pelunasan pada Kredit Perumahan Rakyat (KPR) Bobby Putra Delon Togatorop; Arnah Ritonga; Lestari Novianti Sinurat; Monica Triyuni Sinaga; Widya Kartini Pangaribuan
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 2 (2025): Agustus: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i2.6970

Abstract

This study aims to examine the use of amortization schedules and the repayment fund approach in Public Housing Credit. By applying quantitative descriptive methods and a case study approach, this study simulates a mortgage with a credit ceiling of Rp163,800,000, a tenor of 15 years, and an interest rate of 5.65% for the first to fifth year and 13% for the sixth to fifteenth year. The results of the simulation show that without any additional strategies, the total interest to be paid reaches Rp138,887,134.14, which is almost equivalent to the total principal loan. However, by using a sinking fund strategy through regular savings of Rp1,000,000 every month (with an interest rate of 0.25% per month) for 5 years, the collected funds are Rp64,444,800 which significantly reduces the remaining principal loan. As a result, the total interest is reduced to Rp87,864,324.85, which means there is a savings of Rp51. 022. 809.29. Furthermore, this strategy has the potential to shorten repayment time. In conclusion, sinking funds are an effective approach to reducing interest burden and accelerating the repayment of Public Housing Loans.