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Katarina [22]
3 years ago
10

jacob received $500 for christmas from his parents, he wants to put it into an account that will pay him 7.75% interest each yea

r. if he wants to withdraw all his funds at the end of the year. how much will he withdraw
Mathematics
1 answer:
disa [49]3 years ago
7 0

Answer:

He will have $538.75 after one year.

Step-by-step explanation:

First we need to find how much is 7.75% of 500. We can find it by multiplying 500 x .0775

This equals 38.75

That means after one year, he has $38.75 more.

500+38.75=538.75

He will have $538.75 after one year.

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Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un
jonny [76]

Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

Probability of a low risk policy having a claim = 10% = 0.1

Actuary Toby examines high risk policy

Probability of a high risk policy having a claim = 20% = 0.2

Let the number of policies examined by actuary Rahul before he finds a claim and stop be n

Probability that actuary Rahul examines exactly n policies =  0.9^{n-1} (0.1)

Probability that Toby examines more than n policies = 0.8^n

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = 0.9^{n-1} (0.1) (0.8)^n

probability that both events happen simultaneously = \frac{0.1}{0.9} (0.72^{n})

The probability that Actuary Rahul examines fewer policies that Actuary Toby = \sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} } = \frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

5 0
3 years ago
PLEASE ANSWER FAST TIMED TEST
Anon25 [30]

Answer:

0.0000015

Step-by-step explanation:

8 0
2 years ago
Simplify each expression.<br> (n into power 4)8
hram777 [196]

Answer: 64

Step-by-step explanation:

4+4=16

4+4=16

4+4=16

4+4=16

16+16+16+16=64

7 0
3 years ago
What is 3 divided by 5? A: 1 2/3 B:15 C:3/5 D:1/15
igor_vitrenko [27]
The answer is C : 3/5
8 0
3 years ago
En un estudio estadistico se van a usar unicamente variables cuantitativas discretas para ingresarlas a un programa de analisis
notka56 [123]

Answer:

la variable que se debe ingresar en el programa corresponde a: c. edad

Step-by-step explanation:

Las variables cuantitativas son aquellas que toman valores numéricos y se clasifican en variables cuantitativas discretas que son las que sólo pueden asumir un número limitado de valores en un determinado rango, como por ejemplo, el número de carros que posee una persona y variables cuantitativas continuas que pueden tomar cualquier valor en un rango específico, como por ejemplo, el peso de un objeto. De acuerdo a estas definiciones, la respuesta es que la variable que se debe ingresar en el programa corresponde a: edad porque es una variable discreta dado que se registra en números enteros y no acepta cualquier valor en un intervalo específico.

Las otras opciones no son correctas porque la nacionalidad y el nivel de escolaridad no son variables cuantitativas y la altura es una variable cuantitativa continua.

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