You want to purchase a new car, and you are willing to pay $19,970. If you can invest at 10% per year and you currently have $15,000, how long will it be before you have enough money to pay cash for the car

Answers

Answer 1
Answer:

Answer:

It will take 3 years to have enough money to purchase the car.

Explanation:

We can use either Compounding or Discounting Formula to determine the time it will take to make $19,970 from $15,000 when the investment rate is 10%. Lets go with the Compounding Formula:

                           Future Value = Present Value * (1 + i) ^ n

Re-arrange equation for "n" which is the Time Period:

⇒ FV / PV = (1 + i) ^ n

Taking log on both sides;

⇒ log (FV / PV) = log (1 + i) ^ n

OR log (FV / PV) = n log (1 + i)

OR n = log (FV / PV) / log (1 + i)

Simply put values now;

⇒ n = log (19,970 / 15,000) / log (1 + 10%) = log (1.33) / log (1.1) = .12 / .04

OR n = 3


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Finishing Touches has two classes of stock authorized: 8%, $10 par preferred, and $1 par value common. The following transactions affect stockholders' equity during 2021, its first year of operations: January 2 Issues 100,000 shares of common stock for $35 per share. February 6 Issues 3,000 shares of 8% preferred stock for $11 per share. September 10 Purchases 11,000 shares of its own common stock for $40 per share. December 15 Resells 5,500 shares of treasury stock at $45 per share. In its first year of operations, Finishing Touches has net income of $160,000 and pays dividends at the end of the year of $94,500 ($1 per share) on all common shares outstanding and $2,400 on all preferred shares outstanding. Required: Prepare the stockholders' equity section of the balance sheet for Finishing Touches as of December 31, 2021. (Amounts to be deducted should be indicated by a minus sign.)

Answers

Answer:

See explaination and attachment

Explanation:

Stockholders' equity is the amount of assets remaining in a business after all liabilities have been settled. It is calculated as the capital given to a business by its shareholders, plus donated capital and earnings generated by the operation of the business, less any dividends issued.

Balance Sheet is a statement of the assets, liabilities, and capital of a business or other organization at a particular point in time, detailing the balance of income and expenditure over the preceding period.

See attachment for the step by step solution of the given problem.

Final answer:

The total stockholders' equity for Finishing Touches as of December 31, 2021, is calculated by adding the value of issued common and preferred stocks, and adjusting for treasury stocks and retained earnings. The total is $3,403,600.

Explanation:

The stockholders' equity section of Finishing Touches as of December 31, 2021, includes several items. These include the issuance of common stock, issuance of preferred stock, purchase and resale of treasury stock, the net income, and the payment of dividends. Let's break them down:

  • Common Stock: 100,000 shares were issued at $35 per share, amounting to $3,500,000.
  • Preferred Stock: 3,000 shares were issued at $11 per share, amounting to $33,000.
  • Treasury Stock: The company bought 11,000 shares at $40 per share (creates a decrease in equity amounting to -$440,000) and sold 5,500 of these shares at $45 per share (creates an increase in equity of $247,500). The net decrease in equity due to treasury stock transactions is -$192,500.
  • Retained Earnings: The company earned net income of $160,000 but paid out dividends ($94,500 to common stockholders and $2,400 to preferred stockholders), resulting in an increase in retained earnings of $63,100.

So, the total stockholders' equity for Finishing Touches as of December 31, 2021, would be $3,403,600 ($3,500,000 + $33,000 - $192,500 + $63,100).

Learn more about Stockholders' Equity here:

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What are​ price, output,​ profits, marginal​ revenues, and deadweight loss if the monopolist can price​ discriminate? ​(round all answers to two decimal​ places) In market​ 1, the price is ​$nothing and the quantity is nothing. In market​ 2, the price is ​$nothing and the quantity is nothing.

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Complete question:

A   monopolist   is   deciding   how   to   allocate   output   between   two   geographically separated markets (East Coast and Midwest).  Demand and marginal revenue for the two markets are: P1 = 15 - Q1MR1 = 15 - 2Q1P2 = 25 - 2Q2MR2 = 25 - 4Q2. The monopolist’s total cost is C = 5 + 3(Q1 + Q2  ).  

What are price, output, profits, marginal revenues, and dead-weight loss

(i) if the monopolist can price discriminate?

(ii) if the law prohibits charging different prices in the two regions?

Solution:

Through price control, the monopolist selects quantity in each sector in such a manner that total income of each business is equivalent to total expense. The marginal cost is equivalent to three (the slope of the overall cost curve).

In the first market

15 - 2Q1 = 3, or Q1 = 6.

In the second market

25 - 4Q2 = 3, or Q2 = 5.5

Substituting into the respective demand equations, we find the following prices for the two markets : P1 = 15 - 6 = $9  and P2 = 25 - 2(5.5) = $14.

Noting that the total quantity produced is 11.5, then

π = ((6)(9) + (5.5)(14)) - (5 + (3)(11.5)) = $91.5.

The monopoly dead-weight loss in general is equal to  

DWL = (0.5)(QC - QM)(PM - PC ).

Here, DWL1 = (0.5)(12 - 6)(9 - 3) = $18  and                

         DWL2 = (0.5)(11 - 5.5)(14 - 3) = $30.25.

Therefore, the total dead-weight loss is $48.25.

Without pricing disparity, the monopoly holder would demand a single price for the whole sector. To optimize income, we find that the total revenue is equivalent to the total expense. Using demand calculations, we note that the complete market curve is kinked to Q = 5:  

P=25-2Q, if Q≤518.33-0.67Q, if Q5 .

This implies marginal revenue equations of MR=25-4Q, if Q≤518.33-1.33Q, if Q5

With marginal cost equal to 3, MR = 18.33 - 1.33Q is relevant here because the marginal   revenue   curve   “kinks”   when  P  =   $15.    

To   determine   the   profit-maximising quantity, equate marginal revenue and marginal cost: 18.33 - 1.33Q = 3, or Q = 11.5.

Substituting the profit-maximizing quantity into the demand equation to determine price :P = 18.33 - (0.67)(11.5) = $10.6.

With this price, Q1 = 4.3 and Q2 = 7.2.  

(Note that at these quantities MR1 = 6.3 and MR2 = -3.7).

Profit is(11.5)(10.6) - (5 + (3)(11.5)) = $83.2.

Dead-weight loss in the first market is DWL1 = (0.5)(10.6-3)(12-4.3) = $29.26.

Bob has saved $315 each month for the last 6 years to make a down payment on a house. The account earned an interest rate of .41 percent per month. How much money is in Bob's account

Answers

Answer:

The amount in Bob's account is $26320.516

Explanation:

The total amount saved each month for the down payment (A ) = $315

The interest rate per month (r ) = 0.41 %

Number of years (n ) = 6 years

Below is the calculation to find the total amount in Bob’s account. Here, we will take the number of compounding period as 72 because the interest rate is monthly compounded and there are 72 months in 6 years.

= A\left [ (\left ( 1+r \right )^(n* 12)-1)/(r) \right ] \n= 315 \left [ (\left ( 1+ 0.0041 \right )^(6* 12)-1)/(0.0041) \right ] \n= 315\left [ (\left ( 1+ 0.0041 \right )^(72)-1)/(0.0041) \right ] \n= $ 26320.516

Lyons Company deducts insurance expense of $210,000 for tax purposes in 2018, but the expense is not yet recognized for accounting purposes. In 2019, 2020, and 2021, no insurance expense will be deducted for tax purposes, but $70,000 of insurance expense will be reported for accounting purposes in each of these years. Lyons Company has a tax rate of 40% and income taxes payable of $180,000 at the end of 2018. There were no deferred taxes at the beginning of 2018. Reference: Ref 19-5 What is the amount of income tax expense for 2018? A. $180,000 B. $210,000 C. $264,000 D. $252,000

Answers

Answer:

The total income tax expense for 2019 =152.000. Is not available in the options given by the exercise.

Explanation:

  • Tax on insurance expense deductible for accounting purposes in 2019= 70000*40%=28.000

  • Income tax expense for 2019 = 180.000-28.000=152.000

Mark has invested $300 at age 16 into a money market account earning 6%. What will his investment be worth?

Answers

Answer:

Future Account Value = $ 161,327.31

Explanation:

Investment Amount (PV)

The starting amount you invest in the account or your current balance in an existing investment account

Future Account Value (FV)

The return amount you want to attain. Your target amount.

Number of Years (n)

Several years you will invest.

Interest Rate (R)

The annual interest rate you expect on your invested money

Compounding (m)

The periodic compounding of your investment account

Contributions (PMT)

The payment amount you will contribute to your investment account periodically

Frequency of Contributions (q)

The periodic timing of your contributions

In a closed economy, public saving is the amount of a. income that households have left after paying for taxes and consumption. b. spending that the government undertakes in excess of the taxes it collects. c. income that businesses have left after paying for the factors of production. d. tax revenue that the government has left after paying for its spending.

Answers

Answer:

In a closed economy, public saving is the amount of

d. tax revenue that the government has left after paying for its spending.

Explanation:

Public saving or budget surplus in a closed economy describes the excess of government revenue (obtained through taxation of individuals and businesses in the economy) and government expenditures on goods and services. In an open economy, transfers are deducted before arriving at the public saving.  In all economies, the addition of private (individual and business) and public savings result to national investments.

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