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Katyanochek1 [597]
3 years ago
13

Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco

le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?
Mathematics
1 answer:
lions [1.4K]3 years ago
7 0

Answer:

Resultados debajo

Step-by-step explanation:

Dada la siguiente información:

Tasa de interes anual (i)= 4,8%

Inversión inicial (VP)= $1.000.000

<u>Para calcular el valor final (VF), debemos usar la siguiente formula:</u>

VF= VP*(1 + i)^n

<u>Para 5 años:</u>

VF= 1.000.000*(1,048^5)

VF= $1.264.172,72

<u>Para 18 años:</u>

VF= 1.000.000*(1,048^18)

VF= $2.325.429,02

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Montano1993 [528]

Answer:

(5). Finial\ amount(A)=\$3619.80

(6). a=5,\ b=0.5

(7). A=33236

Step-by-step explanation:

(5).

Monthly\ compound\ interst\ is\ given\ by\\\\A=P\left(1+\frac{r}{n}\right)^{nt}\\\\Where\ A= Final\ amount\\\\P= Initial\ amount\\\\r=annual\ interest\ rate\\\\n=number\ of\ times\ interest\ is\ compounded\ per\ unit\\\\t=time\ in\ year\\\\Given,\\\\Initial\ amount\ (P)=\$ 3500\\\\annual\ interest\ rate\ (r)=6.75\%\\\\t=6\ month=\frac{1}{2}\ year\\\\n=12\\\\A=3500\left(1+\frac{6.75}{12\times 100}\right)^{\frac{1}{2}\times 12}\\\\A=3500\left(1+0.005625\right)^6\\\\A=3500(1.005625)^6\\\\

A=3500\times 1.03422818\\\\A=\$3619.80

(6).

Exponential\ decay\ formula\ is\ given\ by\\\\y=a(1-b)^x\\\\Where\  (a)\ is\ initial\ amount\ and\ (b)\ is\ decay\ factor\\\\Given,\\\\y=5\times(0.5)^x\\\\y=5\times(1-0.5)^x\\\\compare\ with\ exponential\ decay\ formula\\\\a=5,\ b=0.5

(7).

Given,\\\\Initial\ population=45000\\\\annual\ decrease=2\%\\\\n=15\ years\\\\ Decrease\ population\ is\ given\ by\\\\A=P\left(1-\frac{r}{100}\right)^n\\\\Where\ P\ is\ initial\ population\ r\ is\ decrease\ rate\ and\ n\ is\ number\ of\ years\\\\A=45000\left(1-\frac{2}{100}\right)^{15}\\\\A=45000(0.98)^{15}\\\\A=45000\times 0.738569\\\\A=33235.60\\\\A\approx 33236

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