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Actividad1
1. El IVA (Impuestoal ValorAgregado) tiene ennuestropaísunatarifabásicadel 19% para algunos
artículos.
a. ¿Cuál esel valor del IVA que se debe pagarpor un equipode sonidocuyoprecioes$845.000?
R//
845000 x 0.19= 160550
b. ¿Cuál esel valorque ingresaal almacénporla compra del equipo?
2.
La gráficarepresentalaspreferenciasde 125 jóvenes
para algunosdeportes.
a. ¿Cuántosjóvenesmuestranpreferenciaporel
béisbol
Hacemosuna reglade tres
Deportistasporcentaje %
125 100%
X 16%
X = 𝟏𝟐𝟓𝒙 𝟏𝟔%
𝟏𝟎𝟎%
=
𝟐𝟎𝟎𝟎
𝟏𝟎𝟎
= 20 jóvenesprefierenbeisbol
b. ¿Cuántosjóvenesnomuestranpreferenciaporel baloncesto?
3. De las 240.000 toneladasde latasque se consumenenColombia,anualmentese pueden
reciclarel 34%.
¿Cuántastoneladasde latasse puedenreciclarenunaño?
4. La siguiente tablamuestralosresultadosde laseleccionesde unmunicipio.
PARTIDONUMERO DE VOTOS
A 219.384
B 79.749
C 218.614
D 194.415
VOTOSEN BLANCO328
a. ¿Cuál esel númerode votantes?
b. Calcularel porcentaje de votosobtenidosporcadapartido.
Actividad2
1. Lee la información.Luego,responda
BANCOAMIGO
Le prestasinfiadoresala tasa más bajadel
mercado.12% de interéssimpleanual.
a. Si se hace un préstamoenBANCOAMIGOpor$5.000.000, ¿qué interésse debe pagaral cabo de
dos años?
R//
= 416666.666667
al cabo de 2 añosse paga 416666.666667.
b. Dianasolicitóunpréstamode $10.000.000 a BANCOAMIGO.Si finalmentetuvoque pagar
$16.000.000, ¿por cuánto tiempofue solicitadoel préstamo?
R//
2. Wilsondepositóuncapital de $6.000.000 enun banco.Si en dosaños le produjouninterésde
$600.000,
¿a qué tasa de interésanual lodepositó?
3. José paga $50.000 de interésmensual por$5.000.000 que pidióprestadosaun amigo.¿Qué
pasará con el interésmensual que paga,si debe pedirprestado$2.000.000 más?
R//
Interés
I = Ci×t×i
Siendo
I = interésmensual
t = tiempoeneste casomeses
i = interés
Reemplazando
50000 = 5000000×1×i
i = 50000/5000000
i = 0,01
Ahorasi pide 2000000 mas
Reemplazamos
I = 7000000×1×0,01
I = 70000
I total = 70000-50000 = 20000
El interésmensual aumentaen20000 mas
4. ¿Qué interésproducen$28.000.000 colocadosal 28% de interéssimpleanual durante 2años?
R//
5. Calcularel capital final obtenidoal depositar$ 15.580.00 al 18% anual durante 6 meses.
6. Un capital de $120.000, al 6% mensual,enuntiempode 2 años,¿qué interésproducirá?
R//
claro que la respuestaes172,800, ya que el seisporcientode 120,000 son7,200, al mes serían
7,200, y ya que cada mestrae 12 mesesyson2 añosnos da untotal de 172,800
7. Calcularel capital final que se obtiene al depositar$50.000 al 12% anual durante 3 meses.
R//
50.1.3
150
8. La siguiente tablamuestralosporcentajesde interésanual de algunosbancosque realizan
préstamos
BANCO PORCENTAJEDE INTERÉS
BANCOLOMBIA 23,62 % anual
DAVIVIENDA 24,36 % anual
COLPATRIA 25,08 % anual
BOGOTÁ 25,34 % anual
Si una empresasolicitaunpréstamode $185.000.000 al banco BANCOLOMBIA porun mes,¿cuál
esel interésque debe pagarlaempresaporeste préstamo?
9. Si una entidadde saludsolicitaunpresupuestoque desembolsalaentidadbancaria
DAVIVIENDA, por
valorde $ 75.800.000 yluegode algunosmesesdevuelve dichopresupuestoporvalorde
89.648.660, ¿A
qué tiempo,laentidadde saluddevolvióel dinero?

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Guia de matematicas desarrollo 7 1

  • 1. Actividad1 1. El IVA (Impuestoal ValorAgregado) tiene ennuestropaísunatarifabásicadel 19% para algunos artículos. a. ¿Cuál esel valor del IVA que se debe pagarpor un equipode sonidocuyoprecioes$845.000? R// 845000 x 0.19= 160550 b. ¿Cuál esel valorque ingresaal almacénporla compra del equipo? 2. La gráficarepresentalaspreferenciasde 125 jóvenes para algunosdeportes. a. ¿Cuántosjóvenesmuestranpreferenciaporel béisbol Hacemosuna reglade tres Deportistasporcentaje % 125 100% X 16% X = 𝟏𝟐𝟓𝒙 𝟏𝟔% 𝟏𝟎𝟎% = 𝟐𝟎𝟎𝟎 𝟏𝟎𝟎 = 20 jóvenesprefierenbeisbol b. ¿Cuántosjóvenesnomuestranpreferenciaporel baloncesto? 3. De las 240.000 toneladasde latasque se consumenenColombia,anualmentese pueden reciclarel 34%. ¿Cuántastoneladasde latasse puedenreciclarenunaño? 4. La siguiente tablamuestralosresultadosde laseleccionesde unmunicipio. PARTIDONUMERO DE VOTOS A 219.384
  • 2. B 79.749 C 218.614 D 194.415 VOTOSEN BLANCO328 a. ¿Cuál esel númerode votantes? b. Calcularel porcentaje de votosobtenidosporcadapartido. Actividad2 1. Lee la información.Luego,responda BANCOAMIGO Le prestasinfiadoresala tasa más bajadel mercado.12% de interéssimpleanual. a. Si se hace un préstamoenBANCOAMIGOpor$5.000.000, ¿qué interésse debe pagaral cabo de dos años? R// = 416666.666667 al cabo de 2 añosse paga 416666.666667. b. Dianasolicitóunpréstamode $10.000.000 a BANCOAMIGO.Si finalmentetuvoque pagar $16.000.000, ¿por cuánto tiempofue solicitadoel préstamo? R// 2. Wilsondepositóuncapital de $6.000.000 enun banco.Si en dosaños le produjouninterésde $600.000, ¿a qué tasa de interésanual lodepositó? 3. José paga $50.000 de interésmensual por$5.000.000 que pidióprestadosaun amigo.¿Qué pasará con el interésmensual que paga,si debe pedirprestado$2.000.000 más? R// Interés I = Ci×t×i Siendo
  • 3. I = interésmensual t = tiempoeneste casomeses i = interés Reemplazando 50000 = 5000000×1×i i = 50000/5000000 i = 0,01 Ahorasi pide 2000000 mas Reemplazamos I = 7000000×1×0,01 I = 70000 I total = 70000-50000 = 20000 El interésmensual aumentaen20000 mas 4. ¿Qué interésproducen$28.000.000 colocadosal 28% de interéssimpleanual durante 2años? R// 5. Calcularel capital final obtenidoal depositar$ 15.580.00 al 18% anual durante 6 meses. 6. Un capital de $120.000, al 6% mensual,enuntiempode 2 años,¿qué interésproducirá? R// claro que la respuestaes172,800, ya que el seisporcientode 120,000 son7,200, al mes serían 7,200, y ya que cada mestrae 12 mesesyson2 añosnos da untotal de 172,800 7. Calcularel capital final que se obtiene al depositar$50.000 al 12% anual durante 3 meses. R// 50.1.3 150
  • 4. 8. La siguiente tablamuestralosporcentajesde interésanual de algunosbancosque realizan préstamos BANCO PORCENTAJEDE INTERÉS BANCOLOMBIA 23,62 % anual DAVIVIENDA 24,36 % anual COLPATRIA 25,08 % anual BOGOTÁ 25,34 % anual Si una empresasolicitaunpréstamode $185.000.000 al banco BANCOLOMBIA porun mes,¿cuál esel interésque debe pagarlaempresaporeste préstamo? 9. Si una entidadde saludsolicitaunpresupuestoque desembolsalaentidadbancaria DAVIVIENDA, por valorde $ 75.800.000 yluegode algunosmesesdevuelve dichopresupuestoporvalorde 89.648.660, ¿A qué tiempo,laentidadde saluddevolvióel dinero?