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vova2212 [387]
3 years ago
13

Slick Sam has a special relationship with his banker. The nature of the relationship is as follows: The bank owes Sam $100 per y

ear forever. The 1st payment is due in 1 year. The bank will borrow or lend money to Sam at a constant effective rate of i per year. Today, Sam calculated the present value of the payments that are due to him as X. Sam can receive his first 16 payments at the end of year 16 in a lump sum. If he does that, then the total value of the lump sum and future payments at the end of the sixteenth year is X + 2,000. Calculate X.
Business
1 answer:
joja [24]3 years ago
7 0

Answer:

X=97.24

Explanation:

PV = Present Value = X+2000 by the 16th years

PMT = Payments = $100

FV = Future Value = 2000 at the end of 16 years

n= number of years

Applying the equation of future value for annuity

FV = pmt* ​((1+r)ⁿ - 1   )/r

Inputting the values;

2000=100*((1+r)¹⁶-1)/r

Solving for r, gives r = 2.9%

Therefore using the formula for PV for annuity;

PV=PMT*(1-(1/1+r)/r)

X=100*(1-(1/1.029)/0.029

X=100*((1-0.9718)/0.029)

X=100*(0.0282/0.029)

X=97.24

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I hope my answer helped you. Have a nice day!
8 0
3 years ago
In which systems development life cycle do model developers use a model to generate functional requirements and physical design
Sergio [31]

The systems development life cycle in which model developers use a model to generate functional requirements and physical design specifications simultaneously is:

  • Prototyping life cycle

<h3>What is a Model?</h3>

This is a prototype which is used to represent a real thing to show the real life scenarios and applications on a much smaller scale.

With this in mind, we can see that in the prototyping life cycle, the model developers make functional requirements simultaneously to find out how the physical design specifications would look like.

Read more about life cycle here:
brainly.com/question/25754149

6 0
2 years ago
The major difference between nominal GDP and real GDP is: nominal GDP measures the value of output with constant output levels,
Andrei [34K]

Answer:

The correct answer is "nominal GDP measures the value of output in current-year prices, while real GDP measures output using constant prices."

Explanation:

The real GDP growth is the value of all goods produced in a given year; nominal GDP is the value of all the goods taking price changes into account.

The nominal GDP is the value of all the final goods and services that an economy produced during a given year. It is calculated by using the prices that are current in the year in which the output is produced. The nominal GDP takes into account all of the changes that occurred for all goods and services produced during a given year. For example, a nominal value can change due to shifts in quantity and price.

The real GDP is the total value of all of the final goods and services that an economy produces during a given year, accounting for inflation. It is calculated using the prices of a selected base year.

The correct answer is "nominal GDP measures the value of output in current-year prices, while real GDP measures output using constant prices."

7 0
3 years ago
Blaine bought 4 pairs of pants and 2 shirts at a department store in California. Each pair of pants cost $25.85 and each shirt c
Mazyrski [523]

Answer:

$57.11

Explanation:

$25.85 × 4 = $103.40

$15.70 × 2 = $31.40

Total cost of purchase = $134.80

6% tax = 0.06 × $134.80 = $8.09

Total cost of purchase including tax = $142.89

Change received by Blaine = $200 - $142.89 = $57.11

I hope my answer helps you

3 0
3 years ago
Assume there must be one-to-one matching between consultants and projects. For the optimal schedule, what is the total number of
katrin2010 [14]

Complete Question:

The president of a consulting firm wants to minimize the total number of hours it will take to complete three projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the three projects, as follows: Project (Hours) Consultant Charlie 16 11 13 Betty 15 14 18 Johnny 22 12 15 Rick 17 12 22 Assume there must be one-to-one matching between consultants and projects. For the optimal schedule, what is the total number of hours it will take these consultants to complete these projects? Options: 46 hours, 61 hours, 53 hours, 54 hours, 50 hours

Answer:

For the optimal schedule, the total number of hours it will take these consultants to complete these projects is:

54 hours

Explanation:

a) Data and Calculations:

                                        Project (Hours)

Consultant             A            B            C          D   Project assignment

Charlie                   13           16           11          13    Charles takes C for 11      

Betty                       11           15           14         18    Betty takes A for 11

Johnny                   15          22          12         15    Johnny takes D for 15

Rick                        17           17           12         22   Rick takes B for 17

Minimum hours     11            15          11          13    Total hours taken 54

b) To achieve optimal schedule, Consultant Betty should take project A, spending 11 hours.  Consultant Charlie should take project C for 11 hours.  Consultant Johnny should take project D for 15 hours, while Rick takes project B for 17 hours.  This gives a total of 54 hours spent on the four projects.

8 0
3 years ago
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