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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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?
Ali
4.470 Answers
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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