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Tpy6a [65]
3 years ago
6

On February 27 you win a raffle and receive the grand prize of $4000. You decide to invest it into a money market account that i

s compounded quarterly at a rate of 4.5%. What is the approximate value of the investment in one year?
Mathematics
1 answer:
Novay_Z [31]3 years ago
5 0

Answer:

The approximate value of the investment in one year is 4183.

Step-by-step explanation:

The formula for finding the compound interest for one year that compounded quarterly is :

A = P(1 + \frac{r}{400} )^{4t}

Here,

P - Principal = 4000

r - 4.5%

t - 1

Therefore,

A = 4000(1 + \frac{4.5}{400} )^{4}

= 4000(1.01125)^{4}

= 4000(1.04577)

= 4183.08

Hence, the approximate value of the investment in one year is 4183.

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Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25
Alenkinab [10]

Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

Binomial probability distribution  

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The parameters are:

n is the number of trials.

x is the number of successes.

p is the probability of success on a single trial.

In this problem:

62% say job applicants should follow up within two weeks, p = 0.62

25 managers are selected, n = 25

The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)

P( X > 18) = 1 -  ( X = 18)

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38 % probability that exactly 18 of them say job applicants should follow up within two weeks.

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

8 0
1 year ago
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