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USPshnik [31]
3 years ago
13

Camilo compró un auto usado en $6,000.000y aceptó pagar $1,000.000 al contado y $1,000.000 al mes con interés del 6% anual sobre

saldos insolutos. ¿Cuál será el pago total que realizará Camilo?
Mathematics
1 answer:
Korolek [52]3 years ago
8 0

Answer:

El pago total que hará Camilo es $6,150,000

Step-by-step explanation:

La cantidad que Camilo compró el auto usado = $6,000,000

La cantidad que Camilo acordó pagar en efectivo = $1,000,000

La cantidad que pagará Camilo en un mes = $1,000,000

El interés sobre el saldo impago = 6%

Por lo tanto, tenemos;

El interés sobre el saldo en un año = 6/100 × 5,000,000 = 300,000

El interés por mes = 300.000 / 12 = 25.000

La cantidad de meses que Camilo paga el saldo de 5,000,000 a 1,000,000 por mes = 5,000,000 / 1,000,000 mes = 5 meses

El momento en que paga el saldo restante = El sexto mes

La cantidad de interés pagado en los seis meses = 25,000 × 6 = 150,000

El pago total que hará Camilo, A = 6,000,000 + 150,000 = 6,150,000

El pago total que hará Camilo, A = $6,150,000

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In a large population, 3% of the people are heroin users. A new drug test correctly identifies users 93% of the time and correct
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Answer:

(a) The probability tree is shown below.

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(d) The probability that a randomly chosen person from this population tests positive is 0.1249.

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Step-by-step explanation:

Denote the events as follows:

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Given:

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(a)

The probability tree is shown below.

(b)

Compute the probability that a person who does not use heroin in this population tests positive as follows:

The event is denoted as (Y' | X').

Consider the tree diagram.

The value of P (Y' | X') is 0.10.

Thus, the probability that a person who does not use heroin in this population tests positive is 0.10.

(c)

Compute the probability that a randomly chosen person from this population is a heroin user and tests positive as follows:

P(X\cap Y)=P(Y|X)P(X)=0.93\times0.03=0.0279

Thus, the probability that a randomly chosen person from this population is a heroin user and tests positive is 0.0279.

(d)

Compute the probability that a randomly chosen person from this population tests positive as follows:

P (Positive) = P (Y|X)P(X) + P (Y'|X')P(X')

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(e)

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P(X|positive)=\frac{P(Y|X)P(X)}{P(positive)} =\frac{0.93\times0.03}{0.1249}= 0.2234

Thus, the probability that a person is heroin user given that he/she was tested positive is 0.2234.

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