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Svet_ta [14]
3 years ago
15

Suppose that you discover in your attic an overdue library book on which your grandfather owed a fine of 30 cents 100 years ago.

if an overdue fine grows exponentially at a 5% annual rate compounded continuously, how much would you have to pay if you returned the book today? (hint: if a(t) is the balance at the time t, then , where r is the interest rate expressed as a decimal, not in the percentage form).
Business
1 answer:
agasfer [191]3 years ago
4 0
FV=P*e^rt, where FV is future value, P is the principal, r is the interest rate, and t is the time. So in this case, we have:
FV=.30*e^100*0.05=.3*e^5=$44.524 due in fines, or 148 times the original 30-cent fine
☺☺☺☺
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Think of three example from your own experience, and explain how they demonstrate the concept of diminishing marginal utility.
rewona [7]
Examples:
1.) Having a stain on your rug there's only so much you can get out before your damaging your rug with cleaner

2.) Babysitting and having the child miss there mom, there's only so much you can do to try to calm him/her down 

3.) Watering plants, if you haven't watered plant in a long time so you give them extra water, if you keep giving the plant extra water it will eventually drown and die.

6 0
3 years ago
Williamson Industries has $7 billion in sales and $2 billion in fixed assets. Currently, the company's fixed assets are operatin
In-s [12.5K]

Answer: Williamson industries would have obtained $7.78 billion in sales

Explanation: According to the question, the company is having a total of $2 billion in fixed assets. The fixed assets are currently operating at 90% (0.9) of its total capacity. At his level, the company is able to achieve a sales figure of $7 billion. The implication is as follows;

Fixed assets (at 100%) = 2 billion

Fixed assets (at 90%) = 2 * 0.9

Fixed assets (at 90%) = 1.8

If the company utilizes $1.8 billion to achieve a $7 billion sales figure, then operating at full capacity (100%) would yield the following;

7/x = 90/100

(Where x equals sales level at 100% capacity)

7/x = 0.9

Cross multiply

x = 7/0.9

x = 7.7777...

x ≈ 7.78

Therefore, if Williamson Industries had been operating at full capacity, it would have obtained a sales level of $7.78 billion

3 0
3 years ago
The Fed wants to fight inflation. What action should they take regarding the discount rate, the RR, or open market operations?
Sergio039 [100]

Answer: See explanation

Explanation:

Inflation is when there's a general increase in the price level in an economy. To tackle inflation, the Fed can increase the interest rate as this will discourage people or firms from borrowing and hence there'll be a reduction in the money supply.

Also, the Fed can sell bond to the public, thereby taking in the cash in the economy and reducing the money supply thus reducing inflation. Lastly, the Fed can also increase the reserve ratio for banks. When this is done, there'll be lesser money available in the economy.

4 0
3 years ago
Kendall Corners Inc. recently reported net income of $3.1 million and depreciation of $500,000. What was its net cash flow?
podryga [215]

Answer:

Net cashflow = Net income + Depreciation

Net cashflow = 3,100,000 + 500,000 = 3,600,000 dollars

Explanation:

Net cashflow equals net income plus depreciation.

3 0
3 years ago
Simba Company’s standard materials cost per unit of output is $10.00 (2.00 pounds x $5.00). During July, the company purchases a
Lelechka [254]

Answer:

A)1192 A

B) 192 A

C)  1000 A

Explanation:

The Question is to Compute Simba Company's Total, Price, and Quantity materials Variances

1) Computation of material Cost Variance

= The Standard Cost - The Actual Cost of the material

= 1,500 units x 2 pounds = 3000 pounds

Standard Cost = 3,000 pounds x $5 = $15,000

Therefore material variance = $15,000 - $16,192 = 1192A

2) The material Rate Variance or the Price Variance

= (Standard Rate - Actual Rate) Actual Quantity

= Actual Rae = $16,192 / 3200 = $5.06

Material Rate Variance = (5- 5.06) x 3,200

= 192 A

3) The material Usage Variance or Quantity variance

= (The Standard Quantity - Actual Quantity) Standard Rate

Standard Quantity = 1,500 Units x 2 Pounds = 3000 pounds

Material Usage Variance = (3,000-3,200) 5

= 1000 A

5 0
3 years ago
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