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Y_Kistochka [10]
3 years ago
14

How much money would you need to deposit today at 5% annual interest compounded monthly to have $20000 in the account after 9 ye

ars?
Mathematics
2 answers:
mario62 [17]3 years ago
7 0
20000=p(1+0.05/12)^12*9
Solve for p
P=20,000÷(1+0.05÷12)^(12×9)
P=12,764.49
Nana76 [90]3 years ago
5 0
$12,764.49 because 9 yrs = 108 months
<span>5% annual = (5/12)% per month = 5/1200
</span><span>FV = PV*(1 + 5/1200)^108 = 20000
PV = 20000/(1 + 5/1200)^108
PV = $12,764.49</span>
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Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
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Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

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Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

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The answer is:  18 .
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