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Vesnalui [34]
3 years ago
12

A deposit of $1000 at 4% interest compounded continuously will grow to v(t) = 1000 e^0.04 dollars after t year. Find the average

value during the first 40 years (that is, from time 0 to time 40.)
Business
1 answer:
elixir [45]3 years ago
6 0

Answer: 20,816.215

Explanation:

Given that:

A deposit of $1000 at 4% interest compounding is defined by the growth function:

v(t) = 1000e^0.04t

Where t = number of years.

Find the average value during the first 40 years (that is, from time 0 to time 40.)

(That is t = 0,...,40)

For ease, we can use a python list comprehension to get our values.

v = [1000*2.7182818**0.04*t for t in range(41)]

V gives a list of the value of the deposit from year 0 till 40 years after the deposit.

Average = sum of compounding deposits / number of years

Sum of compounding deposits = sum(v) = $853464.8344

Number of years = len(v) = 41

Hence, average = $853464.8344 / 41

Average = $20,816.215

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tatyana61 [14]

Answer:

266,2 units of capital per worker

Explanation:

The capital growth as stated is compound growth. Since technology and human capital are constant, there is not expected changed in productivity factors relationship, so the formula for compound growth, in this case, is: capital per worker in 3 years' time = capital per worker * (1+ annual rate growth) ^ 3. Computing numbers would be: capital per worker in 3 years' time = 200*(1+10)^3= 266,2

4 0
3 years ago
Did the realist theory develope in reaction to idealism
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The answer is TRUE
 
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Suppose Troutsville (population of 4) wants to put on a firework display. Leslie would get $40 worth of benefit, Mark would get
nasty-shy [4]
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3 0
3 years ago
Consider a hypothetical closed economy in which households spend $0.70 of each additional dollar they earn and save the remainin
navik [9.2K]

Answer:

(a) 0.7

(b) 3.33

(c) -$210

(d) -$147

(e) -$1 trillion

Explanation:

(a) Marginal propensity to consume (MPC) = 0.7

(b) Multiplier of this economy:

=\frac{1}{1-MPC}

=\frac{1}{1-0.7}

      = 3.33

(c) Decrease government purchases by $300 billion,

Initial change in consumption = Change in government purchases × MPC

                                                  = $300 × 0.7

                                                  = -$210 billion

(d) This decreases income yet again, causing a second change in consumption equal to:

= Initial change in consumption × MPC

= -$210 × 0.7

= -$147 billion

(e) The total change in demand resulting from the initial change in government spending is:

= Change in government purchases × Multiplier

= $300 × 3.33

= -$1 trillion

7 0
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Answer:

A. whistle-blowing.

Explanation:

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When an employee does not have confidence that appropriate action will be taken on the information provided, employees tend to go to external parties with the information.

This was the case with EAC above where the staff were going to the press. EAC now set up a whistle-blowing framework that increased employee confidence and reduced turn-over.

4 0
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