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Ronch [10]
3 years ago
12

A deposit of $5000 is made to a bank account paying 1.5% annual interest, compounded continuously. (a) Write the differential eq

uation for the balance in the account, B, as a function of time, t, in years. (b) Solve the differential equation. (c) How much money is in the account in 10 years?
Business
1 answer:
seraphim [82]3 years ago
7 0

Answer:

Please find the detailed answer as follows:

Explanation:

A. Step 1. The differential equation is

dB / dt = 0.015B - 5000

 

Step 2.   now we must integrate it to find it ias a function of time

dB /0.015B - 500 = dt

 

Step 3. integrate

=> ln ( 0.015 B - 5000) = 0.015t + 0.015c

=> 0.015B - 5000 = e^0.015t .e^0.015c

here .e^0.015c is constant let it be Bo

b. =>B = 1/0.015 [ Bo e^0.015t + 5000 ]

at t = 0 , B = 5000  

=> 5000 x 0.015 = Bo => B o = 75

c . B = 1/0.015 [ 75 e^0.015t + 5000 ]

put t = 10  

=> B = $ 339142.50

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Flesch Corporation produces and sells two products. In the most recent month, Product C90B had sales of $23,490 and variable exp
Mars2501 [29]

Answer:

Contribution margin ratio = Contribution margin / Sales

Product C90B CMR = ($23,490 - $7,047) / $23,490 = $16,443 / $23,490 = 0.7 = 70%

Product Y45E CMR = ($34,800 - $13,920) / $34,800 = $20,880 / $34,800 = 0.6 = 60%

The rule, <em>the Higher the contribution margin ratio, the lower the Break-Even point. </em>So, if sales mix shifts to product C90B, overall Break-even point <u>Decreases</u>.

8 0
3 years ago
The Holmes Company's currently outstanding bonds have a 8% coupon and a 13% yield to maturity. Holmes believes it could issue ne
Marina86 [1]

Answer: 8.45%

Explanation:

From the question, we are informed that Holmes Company's currently has an outstanding bonds and has a 8% coupon and a 13% yield to maturity.

We are further told that Holmes believes it could issue new bonds at par that would provide a similar yield to maturity and that its marginal tax rate is 35%.

Holmes's after-tax cost of debt will therefore be calculated as:

= Yield to maturity × (1 - Marginal tax rate)

= 13% × (1 - 35%)

= 13% × (65%)

= 0.13 × 0.65

= 0.0845

= 8.45%

7 0
3 years ago
Variable Costing Income Statement for a Service Company The actual and planned data for Underwater University for the Fall term
Mkey [24]

Answer:

Underwater University Variable Costing Income Statement For the Fall Term:

                                                   Actual          Planned          Variance

Number of Enrollment               4,500              4,125            375

Credit hours                              60,450            43,200         17,250

Revenue                                 $7,254,000     $5,832,000     $1,422,000

Variable costs:

Registration, records,

 & marketing costs               $1, 237,500        $1,134,375         $103,125

Instructional costs                   3,868,800        2,592,000       1,276,800

Total variable costs              $5,106,300      $3,726,375    $1,379,925

Contribution margin              $2,147,700       $2,105,625         $42,075

Depreciation on classrooms

       & equipment                   $825,600         $825,600           $0

Operating income                 $1,322,100      $1,280,025         $42,075

Explanation:

Variable costing income statement is an income statement which shows the contribution that revenue makes in paying for the fixed costs, before arriving at the Operating Income.  In variable costing, there is a separation of variable costs from periodic or fixed costs.  All direct materials, labor, and variable overheads are charged to the variable costs, while fixed costs are expensed to the period for which they are incurred.

5 0
3 years ago
Felicity has modified the location of elements on a form and now needs to ensure that users can navigate using the keyboard. Whi
Andrei [34K]

Answer:

Tab order

Explanation:

Just took it

6 0
3 years ago
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sladkih [1.3K]

Answer:

This is false. buying a franchise is expensive, as it involves buying the rights of a business from the business owners, who are commonly referred to as ''franchisiors".

Explanation:

Ravi would not be able to run the franchise business the way he wants as the Franchisiors determines the business model and procedures. Hence, he would have a limited control on the business. Thus, I would advise Ravi to avoid going into a Franchise business, if his motive is to be his own boss and have control on his business.

8 0
3 years ago
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