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natulia [17]
3 years ago
5

Charlie Stone wants to retire in 30 years, and he wants to have an annuity of $1,000 a year for 20 years after retirement. Charl

ie wants to receive the first annuity payment at the end of the 31st year. Using an interest rate of 10%, how much must Charlie invest today in order to have his retirement annuity (round to the nearest $10)?
Business
1 answer:
lara [203]3 years ago
7 0

Answer:

Present value Due = $9,364.92

Explanation:

Given:

Number of payment (n) = 20

Periodic payment (PMT) = $1,000

Rate of interest (i) = 10% = 10/100 = 0.1

Present value of annuity = ?

Computation of Present value of annuity:

Present Value = PMT [\frac{1-(1+i)^{-n}}{i}] (1+i)\\

Present Value = 1,000 [\frac{1-(1+0.1)^{-20}}{0.1}] (1+0.1)\\\\Present Value = 1,000 [\frac{1-(1.1)^{-20}}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{1-0.148643628}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 1,000 [\frac{0.851356372}{0.1}] (1.1)\\\\Present Value = 9,364.92

Present value Due = $9,364.92

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Alabama and Mississippi each have 9 units of labor. They can use their units of labor for the production of chickens and cotton.
Alekssandra [29.7K]

Answer and Explanation:

As it is given that

1. For each unit of labor, Alabama will generate 3 units of chicken.

Thus Alabama can produce a maximum of 27 units of chicken with 9 units of labor.

2. With every unit of labor, Alabama will generate 7 units of cotton.

Thus Alabama can produce a maximum of 63 units of cotton with 9 units of labor.

For each unit of labor,  Mississippi will generate 4 units of chicken.

Therefore Mississippi can produce a maximum of 36 units of chicken with 9 units of labor.

For each unit of labor, Mississippi will produce 6 units of cotton.

While Mississippi can produce up to 54 units of cotton with 9 units of labor.

Alabama could be seen producing more cotton than Mississippi using all the labor while using all the labor Mississippi can produce more chicken than Alabama.

Hence,

For producing chicken, Mississippi has the absolute advantage

For producing cotton,  Alabama has the absolute advantage

Now

Albama's opportunity cost for generating a chicken unit is

= (7 ÷ 3)

= 2.33 units of cotton.

Albama's opportunity cost for generating a cotton unit is

= (3 ÷ 7)

= 0.43 units of chicken.

Mississippi's opportunity cost for generating a chicken unit is

= (6 ÷ 4)

= 1.50 units of cotton.

Mississippi's opportunity cost of generating a cotton unit is

=  (4 ÷ 6)

=  0.67 units of chicken

Therefore

Alabama can produce cotton relatively to Mississippi at a  lower cost of opportunity.

In comparison with Alabama, Mississippi can produce chicken at lower opportunity costs.

Hence, we can conclude that

Mississippi has a competitive advantage for chicken production.

Alabama has a competitive advantage in cotton production.

Mississippi is supposed to grow chicken and Alabama is supposed to make cotton.

6 0
3 years ago
Your accountants tell you that it costs $400 to set up an immunization program at a preschool and immunize one child against pol
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1) cost per child  =  400

2) cost per child for these additional 20 children = 460/ 20 = $ 23

3) the average cost per child = (400 + 460)/ 21 = 860 / 21 = $ 40. 952

4) The above result show that the cost of polio vaccine is less which is only $23. But the setting up immunization program & other necessary associated works have adds up to a higher cost of $ 40. 952. This can be reduced if more nos. of children are involved in the immunization program.

Also, the cost of setting up immunization program will be same for one child or more than one. Only the cost of polio vaccine will vary when the nos. of participating will increase.

8 0
3 years ago
A minor explosion occurs at the chemical processing plant of Clement Inc. In order to study the situation and make recommendatio
Dominik [7]

Answer:

A. Safety engineers

Explanation:

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3 years ago
Which pricing policy do you think would be best suited for a small business introducing a new line of clothing and accessories?
EastWind [94]

Answer:

I think that a small business introducing a new line of clothing and accessories should use the penetration pricing policy. The penetration pricing policy prices their products very low to start out with to try and distract competitors from there competition and towards them.

Explanation:

Hope that helps!

4 0
3 years ago
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