Answer:
See below.
Explanation:
For a, first we calculate the credit multiplier of the economy,
Credit multiplier = 1 / reserve ratio
Credit multiplier = 1 / 0.25 = 4
This means that any change in money supply will be 4 times as much in the economy, hence to induce a change of $120 billion, the Fed will decrease the money supply by 120/4 = $30 billion. This will increase the interest rates just enough to stabilize aggregate demand.
For b, we again start by calculating the credit multiplier.
Credit multiplier = 1/0.10 = 10
Since the Fed want to stimulate investment, it needs to use an expansionary monetary policy.
The Fed thus increases the money supply by 150/10 = $15 billion.
This will have the total effect of 150 billion on the whole thus achieving the Fed's objectives.
Hope that helps.
self-organization versus hierarchical organization — a mathematical investigation of the anarchist philosophy of social organization
In combining anarchist theory with mathematics, this thesis wishes to better understand what power and hierarchy are in order to explore how we can live without coercion.
The process by which individuals organise their social relationships to bring about global order through their interactions with one another rather than through external intervention or teaching is referred to as self-organization. The nervous system exhibits many self-organizational characteristics since it is a very complex and dynamic system with several pieces interacting with one another. In this chapter, we will talk about three different types of brain self-organization: self-organization during development, self-organization as a result of experience, and self-organization as a result of damage. The development of the nervous system is affected by self-organization. Since it is difficult to explain how the nervous system, which is highly structured and complicated, can develop from a single fertilised egg, this is a crucial issue in our knowledge of the neurological system.
Learn more about self-organization here
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Answer:
1. $50 and 40%
2. 177 units and $22,125
3. 473 units and 72.77%
Explanation:
Price = $125
Variable cost = $75
Fixed cost =$8,850
Contribution margin is the net of sales price and variable cost of the product. It is the cost available to recover the fixed cost and make profit afterward.
1. Contribution margin = Sales price - Variable cost = $125 - $75 = $50
Contribution margin ratio = Contribution margin / Sale price = $50 / $125 = 40%
Break-even is the level of sales at which business has no profit no loss situation.
2. Break-even point = Fixed cost / Contribution margin per unit = $8,850 / $50 = 177 units
Break-even in $ = 177 units x $125 = $22,125
Margin of safety is the level of sales at which the business is safe from making loss. Margin of safety measures the profit after the break-even point.
3. Margin of Safety = Total sales - Break-even point = 650 units - 177 units = 473 units
Margin of safety to sales = ( Margin of safety / Total sales ) = ( 473 units / 650 units ) x 100 = 72.77%
Answer:
$1,388,200
Explanation:
The total stock holders equity as at the end of the year shall be determined as follows:
Common stock Retained Earnings Total
Balance of Jan 1 $597,000 $690,000 $1,287,000
Net income for year $96,000 $96,000
Dividend paid ($14,800) ($14,800)
Common stock $20,000 $20,000
Balance at year end $617,000 $771,200 $1,388,200
Answer:
The magic of compound interest happens in a way that the more you put in, the faster your money grows.
Explanation:
The magic of compound interest happens in a way that the more you put in, the faster your money grows. The interest you earn on the amount you save also earns interest and this snowballing effect makes you accumulate your savings even faster. For example, if you deposit $100 in a savings account that pays 5% interest per year. At the end of the year, you account will have (5%*100= 5) plus the $100 you deposited, coming to a total of $105. At the end of the second year, your $5 interest earned in year 1 will earn another 5% interest and so will the $100 you initially deposited.