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Montano1993 [528]
2 years ago
6

4. You want to take out a fully-amortizing 30-year mortgage. You can afford monthly payments of $600 each. The interest rate is

9%. How much money can you borrow?
Business
1 answer:
iragen [17]2 years ago
3 0

Answer: $74569

Explanation:

Based on the information given in the question, the amount that can be borrowed is explained below:

Present value of annuity will e calculated as:

= 600 × [1-(1+0.09/12)^-(12 ×30)] / (0.09/12)

= 600 × [1-(1+0.0075)^-(360)] / 0.0075

= 600 × 1-(1.0075)^-(360)] / 0.0075

= 600 × [1-0.0678860074] / 0.0075

= 600 × 124.282

= 74569

The amount that can be borrowed is $74569

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you invest $1300 in an account at interest rate r, compounded continuously. Find the time required for the amount to double and
miskamm [114]

Answer:

  • 1. <em>For the amount to double</em>: <u>9.37 years</u>
  • 2. <em>For the amount to triple</em>: <u>14.85 years</u>

Explanation:

The equation for continuosly compounded interest is:

  • F=P\times e^{rt}

Where:

  • P is the amount that you invest today: $1,300
  • F is the value after t years: the double or triple of $1,300
  • r is the annual interest rate: 0.074

<u>1. For the amount to double:</u>

Substitute the values and solve for t:

             2\times \$1,300=\$1,300\times e^{0.074t}\\ \\ 0.074t=\ln 2\\ \\ t=\ln 2/0.074=9.37years

<u>2. For the amount to triple:</u>

<u />

            3\times \$1,300=\$1,300\times e^{0.074t}\\ \\ 0.074t=\ln 3\\ \\ t=\ln 3/0.074=14.85years

4 0
3 years ago
In March 2012, Yoshiro Inc.. decided to retire an outstanding bond issue before maturity. The coupon rate on the bond issue was
natali 33 [55]

Answer:

  • b. Cash from Financing Activities  
  • d. Bonds Payable
  • e. Net Income

Explanation:

Bonds are a form of long term debt and in the cashflow statement this goes to the Financing section. A retirement of bonds would reduce cash and this would come from the Financing activities.

Bonds Payable will also decrease because the bond that is being retired will reduce the number of bonds payable that the company has to pay off.

Finally the Net income will reduce as well to reflect the loss on bond retirement. The bonds were issued at a discount owing to interest rates being higher than the coupon rate in 2011 but on the day the bonds were retired they were selling at a premium with interest rates at 4%. The company paid more than they received and this loss will reduce the net income.

3 0
2 years ago
Charley spends all of his income on soft drinks and pizza. Suppose he is currently buying these products in amounts such that hi
tangare [24]

Answer:

The correct option is B. No, he should shift consumption toward soft drinks and away from pizza to maximize total benefits.

Explanation:

Note: This question is not complete because some important figures and points are missing in it. These figures and points are therefore provided to complete the question before answering it as follows:

Charley spends all of his income on soft drinks and pizza. Suppose he is currently buying these products in amounts such that his marginal benefit from an additional soft drink is $100 and his marginal benefit from an additional slice of pizza is $110. If the price of a soft drink is $2 and the price of a slice of pizza is $3, is Charley maximizing his total benefits?

A. No, he should increase his consumption of both goods.

B. No, he should shift consumption toward soft drinks and away from pizza to maximize total benefits.

C. Yes, there is no other consumption choice that will make his total benefits greater.

D. No, he should shift consumption toward pizza and away from soft drinks to maximize total benefits.'

The explanation of the answer is now provided as follows:

Under utility maximization theory, the condition for the utility or benefit maximization for two goods is as follows:

MBs / Ps = MBp / Pp ……………………………. (1)

Where:

MBs = Marginal benefit from an additional soft drink = $100

MBp = Marginal benefit from an additional slice of pizza =$110

Ps = Price of a soft drink = $2

Pp = Price of a slice of pizza = $3

Subtitling the relevant values, we have:

MBs / Ps = Marginal utility per dollar spent on soft drinks = $100 / $2 = 50

MBp / Pp = Marginal utility per dollar spent on soft pizza = $110 / $3 = 36.67

This implies that 50 = MBs / Ps > MBp / Pp = 36.67

The decision rule is that the limited money income should be spent by a consumer on the good which gives the higher marginal utility per dollar in order to maximize marginal benefit.

Since 50 = MBs / Ps > MBp / Pp = 36.67 above, this implies that Charley is NOT maximizing his total benefits. To maximize his total benefits, Charley should consume more of soft drinks and less of pizza until the condition is consistent with equation (1).

Therefore, the correct option is B. No, he should shift consumption toward soft drinks and away from pizza to maximize total benefits.

7 0
3 years ago
The production possibilities model shows an inverse relationship between the amount of one thing that can be produced and the am
Ivahew [28]

Answer:

Explanation:

The production possibility curve is a graphical illustration and tool used for economic analysis. It shows the various combination of goods that can be produced given available resources.

The PPC looks like a bow shape and has an inverse relationship, this is because this is because to produce 1 more of product A you need tp be willing to let go of 1 unit of product B(assuming we can only manufacture 2 products) this concept is known aa Marginal Rate of Transformation.

8 0
3 years ago
Read 2 more answers
Sales-Related Transactions, Including the Use of Credit Cards Journalize the entries for the following transactions: (If an amou
lakkis [162]

Answer:

Journal entries

Explanation:

a. Cash $25,000

            To Sales $25,000

(Being the sale is recorded)

Costs of Goods Sold $17,500

          To  Inventory $17,500

(Being the cost is recorded)

B.  Accounts Receivable $98,000

             To  Sales $98,000

(Being the sales is recorded)

Costs of Goods Sold $58,800

           To inventory $58,800

(Being the cost is recorded)

C.   Accounts Receivable $475,000

             To  Sales $475,000

(Being the sales is recorded)

Costs of Goods Sold $280,000

           To inventory $280,000

(Being the cost is recorded)

D.  Accounts Receivable $63,000

             To  Sales $63,000

(Being the sales is recorded)

Costs of Goods Sold $39,000

           To inventory $39,000

(Being the cost is recorded)

E.  Cash $524,550

    Credit card Expense $13,450

               To Accounts Receivable $538,000

(Being the cash is recorded)

 Sales $661,000

            To Income Summary $661,000

(Being the closing is recorded)

Income summary $408,750

         To Costs of Goods Sold $ 395,300

          To Credit Card Expense $ 13,450

(Being the credit card expense and the cost of goods sold closing is recorded)

Income Summary $252,250

   To  Retained Earnings $252,250                

(Being the transfer is recorded)

5 0
3 years ago
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