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Ivenika [448]
2 years ago
4

Rehan has been awarded some money in a settlement. He has the option to take a lump sum payment of $170,000 or get paid an annui

ty of $1,000 per month for the next 20 years. Which is the better deal for Rehan, and by how much, assuming the growth rate of the economy is 3.05% per year?
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
8 0
U2L4 - Present value -  
1) Marilyn knows that she needs $45000 for a down payment on a house. She found an investment that earns 3.15% interest compounding monthly. She would like to purchase the home in 5 years. How much should she put in the account now to ensure she has her down payment? $38,450.39
2) Joey is saving up for a down payment on a car. He plans to invest $2000 at the end of every year for 3 years. If the interest rate on the account is 2.05% compounding annually, what is the present value of the investment?
$5,762.15
3) Olivia is 18 and would like to buy a house when she is 30. What is the discount factor for today's prices if te housing values increase 8% per year?
39.7%
4) Rehan has been awarded some money in a settlement. He has the option to take a lump sum payment of $170,000 or get paid an annuity of $1,000 per month for the next 20 years. Which is the better deal for Rehan, and by how much, assuming the growth rate of the economy is 3.05% per year? 
 Annuity: by $7,707.19 




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The graph shows a distribution of data.
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.0625 or A

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The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su
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Answer:

n(A) = n_1A^k

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how do you have to n (1) = n_1, then

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3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of
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Answer:

3. Adrian kept an eye on the basketball game score by looking online every 10 minutes. Over the course of

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Two production lines are used to pack sugar into 5 kg bags. Line 1 produces twice as many bags as does line 2. One percent of ba
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Answer:

P(Bag is Defective) = 0.0167

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Line 1 produces twice as many bags as line 2. Let x be the number of bags produced by line 2.

No. of bags produced by line 2 = x

No. of bags produced by line 1 = 2x

Probability that the bag has been produced by line 1 can be written as:

P(Line 1) = No. of bags produced by line 1/Total no. of bags

             = 2x/(x+2x)

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P(Line 1) = 2/3. Similarly,

P(Line 2) = x/3x

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3% of bags from line 2 are defective, so:

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b. The probability that the chosen bag is defective can be calculated through the conditional probability formula:

P(A|B) = P(A∩B)/P(B)

<u>P(A∩B) = P(A|B)*P(B)</u>

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                                = P(Defective|Line 1)*P(Line 1) + P(Defective|Line 2)*P(Line 2)

                                = (0.01)*(2/3) + (0.03)(1/3)

P(Bag is Defective) = 0.0167

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