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myrzilka [38]
3 years ago
12

An investment made in the stock market decreased at a rate of 4.2% per year for 15 years. What is the current value of the $1,00

0,000 investment? Include your calculations in your final answer.
Mathematics
1 answer:
loris [4]3 years ago
8 0
<span>For exponential decrease use the formula P(1 - r)^t
p: initial amount 
r: rate of change or percent of decrease (be sure to put in decimal form or you wont get the right answer)
t: amount of time (in years) 
1,000,000 (1-0.042)^15 =
$525,391.01
(also make sure to use pemdas or order of operations when solving) hope this helps :)</span>
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H = a person who suffered from a heart attack

G = a person has the periodontal disease.

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P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.15)+(0.33\times(1-0.15))\\=0.399

(A)

The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.15}{0.399} \\=0.29699\\\approx0.297

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.

(B)

Now if the probability of a person having a heart attack is, P (H) = 0.38.

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.38)+(0.33\times(1-0.38))\\=0.5048

Compute the probability of a person having a heart attack given that he or she has the disease:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.38}{0.5048}\\ =0.59469\\\approx0.595

The probability of a person having a heart attack given that he or she has the disease is 0.595.

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