1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
☺☺☺☺
You might be interested in
Sage Company borrowed $3,000,000 on March 1 on a 5-year, 12% note to help finance construction of the building. In addition, the
valina [46]

Question:

Riverbed Company is constructing a building. Construction began on February 1 and was completed on December 31. Expenditures were $5,400,000 on March 1, $3,600,000 on June 1, and $9,000,000 on December 31. Riverbed Company borrowed $3,000,000 on March 1 on a 5-year, 12% note to help finance construction of the building. In addition, the company had outstanding all year a 10%, 5-year, $6,000,000 note payable and an 11%, 4-year, $10,500,000 note payable. Compute avoidable interest for Riverbed Company. Use the weighted-average interest rate for interest capitalization purposes.

Answer:

The total avoidable interest is $743,040.00

Explanation:

Here we have        

Date         Expenditure              Period         Portion

Mar-01     $5,400,000.00         10/12     $4,500,000.00

Jun-01     $3,600,000                7/12             $2,100,000

Dec-31    $9,000,000                0/12            $0

Total                                                               $6,600,000.00

The weighted average expenditure is  $6,600,000.00

The weighted average rate using the notes payable loan is found by the following calculation

Type of loan Amount             Interest rate Interest incurred

Loan               $6,000,000             10%            $600,000.0

Loan               $10,500,000            11%             $1,155,000.00

Total              $16,500,000                                $1,755,000.0

Weighted average rate = Total interest incurred / Total loans

Weighted average = 1755000/16500000 = 0.10636 = 10.64%

The general interest is found by subtracting the specific loan from the weighted average expenditure

General = Weighted average expenditure - Specific loan

General =  $6,600,000.00 - $3,000,000 = $3,600,000.00

The avoidable interest is found  by summing the specific interest to the weighted average interest as follows

Type of loan    Amount            Interest rate Interest incurred

Specific            $3,000,000   12%   $360,000.00

General            $3,600,000   10.64% $383,040.0000

Total                                                               $743,040.00

The total avoidable interest = $743,040.00

5 0
3 years ago
Hsu Company reported the following on its income statement: Income before income taxes $302,634 Income tax expense 90,790 Net in
7nadin3 [17]

Answer:

5.79  times

Explanation:

The times interest earned ratio tells us the number of times the company's made earnings in multiple of its debt interest obligation.

The formula for times earned interest ratio is the income before interest and taxes divided by the interest expense.

income before tax is $302,634

income before interest and taxes= $302,634+$63,228=$365,862.00  

times interest earned ratio=$365,862.00/ $63,228= 5.79  times

8 0
4 years ago
Required: Journal entry
lisabon 2012 [21]

Answer:

If a cheque was being issued to settle a account payable, the relevant entry is to debit the accounts payable account to show that the debt is being reduced. You will then credit the cash account to show that cash is being reduced as well because it was used to pay off the debt.

Date                    Account Title                                           Debit               Credit

XX-XX-XXXX     Accounts Payable - Saurya Stores     Rs. 39,000

                           Cash                                                                            Rs. 39,000

7 0
3 years ago
. Based on the following data, Accounts payable…………………………………………………..... $62,000 Accounts receivable…………………………………………………. 100,000
Temka [501]

Answer:  $428,000

Explanation:

Given that,

Accounts payable = $62,000

Accounts receivable = 100,000

Cash = 30,000

Inventory = 138,000

Land = 160,000

Common Stock = 200,000

Revenue = 80,000

Dividends = 56,000

Expenses = 40,000

Total assets = Accounts receivable + Cash + Inventory + Land

                     = 100,000 + 30,000 +  138,000 + 160,000

                     = $428,000

3 0
3 years ago
After the Interview The job search doesn't end with the interview. After your interview, be sure to follow up with the appropria
iogann1982 [59]

Answer:

The correct answers are letters "A", "D", and "E": Use a business letter format; Send a separate letter to each interviewer; Mention something you liked about the interview.

Explanation:

A <em>job interview </em>does not end after leaving the prospective company where you could work. Most organizations decide to choose one applicant over another if they contact their interviewers after the interview. For that purpose, that last contact must be a <em>formal letter stating what your impressions are of the company and why you are still interested in obtaining the job position</em>. Besides, if there was more than one interviewer, <em>a unique letter should be addressed to each of interviewer</em>.

3 0
3 years ago
Other questions:
  • Based on the following information from ABC Company's financial analysis, which one of the following statements is NOT true?
    5·1 answer
  • Valuing assets at their fair value rather than at their cost is inconsistent with the: periodicity assumption. full disclosure p
    12·1 answer
  • Cash flows to stakeholders of a firm include
    10·1 answer
  • Which of the following statements is true? Multiple Choice
    15·1 answer
  • Which one of the following statements is​ FALSE? A. In a processminuscosting ​system, each unit uses approximately the same amou
    11·1 answer
  • A semiprofessional baseball team near your town plays two home games each month at the local baseball park. The team splits the
    12·1 answer
  • The income statement will present
    14·1 answer
  • ALL ABSURD OR INCORRECT ANSWERS WILL BE REPORTED!!!!
    7·2 answers
  • A bond has a par value of $1,000, a time to maturity of 10 years, and a coupon rate of 8.60% with interest paid annually. If the
    11·1 answer
  • In 2008, Betserai was a 10-year-old quintrillionaire living in Bulawayo, Zimbabwe. He was literally rolling in money. In fact, B
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!