A small business leases a space for its operations. The lease states that the initial price is $500,000 per month. However, to adjust for inflation and other economic factors, the lease also states that the monthly rent will increase by $50,000 each year. If the company plans to remain in the same location for 15 years, how much will it have paid in total at the end of that period?

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Answer to a math question A small business leases a space for its operations. The lease states that the initial price is $500,000 per month. However, to adjust for inflation and other economic factors, the lease also states that the monthly rent will increase by $50,000 each year. If the company plans to remain in the same location for 15 years, how much will it have paid in total at the end of that period?

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Ali

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A = alquiler total para el primer año = 12 x $500000 = $6000000 D = aumento del alquiler "por año" = 12 x $50000 = $600000 N = número de años = 15 Esto es simplemente encontrar la suma de una progresión aritmética donde primer término = A = $6000000 Diferencia común = D = $600000 N = número de términos = 15 El importe total pagado en concepto de alquiler se calcula como \frac{N}{2}\left\lbrace2A+\left(N-1\right)D\right\rbrace=\frac{15}{2}\times\left\lbrace2\times6000000+14\times600000\right\rbrace=\$153000000 Respuesta: 153 millones de dólares

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