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3 years ago

The following is the adjusted trial balance of Wilson Trucking Company.

Business

1 answer:

Troyanec [42]3 years ago

7 0

Answer:

PART 1: Wilson Trucking Company reported Net Income of $15,854 for the year ended December 31, 2017.

PART 2: As per the statement of changes in equity, K. Wilson Capital Account Balance as at December 31, 2017 is $190,124

* Please note that figures in brackets represent negative values.

Explanation:

PART 1

Wilson Trucking Company

Income Statement for the year ended December 31, 2017

Revenue

Trucking Fees $115,500

Less Expenses:

Depreciation expense of Trucks $(26,043)

Salaries expense $(54,170)

Office supplies expense $(9,500)

Repairs expense -Trucks $(9,933)

Net Income $15,854

PART 2

Wilson Trucking Company

Statement of changes in Equity for the year ended December 31, 2017

K. Wilson Capital Account Balance as at December 31, 2016 $193,270

Add: Net Income for the year $15,854

Less: K. Wilson withdrawals during the year $(19,000)

K. Wilson Capital Account Balance as at December 31, 2017 $190,124

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Answer:

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2. Interest compounded quarterly = $18,493.77

3. Interest compounded Monthly = $18,598.16

4. Interest compounded continuously = $18,651.19

Explanation:

First let me state the formula for compound interest:

The future value of a certain amount which is compounded is the total amount (Principal + interest) on the amount of money, after compound interests have been applied, and this is shown below:

FV = PV $(1+\frac{r}{n} )^{n*t}$

where:

FV = Future value

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r = interest rate in decimal = 0.07

n = number of compounding periods per year

t = compounding period in years = 14

For interests compounded continuously, the Future value is given as:

FV = PV × $e^{r*t}$

where

$e$ is a mathematical constant which is = 2.7183

Now to calculate each on the compounding periods one after the other:

1. Interest compounded annually:

here n (number of compounding periods annually) = 1

Therefore,

FV = 7,000 × $(1+\frac{0.07}{1})^{14}$

FV = 7,000 × $1.07^{14}$ = $18,049.74

2. Interest compounded quarterly:

here, n = 3 ( there are 4 quarters in a year)

FV = 7,000 × $(1+\frac{0.07}{4} )^{4*14}$

FV = 7,000 × $1.0175^{56}$ = $18,493.77

3. Interest compounded Monthly:

here n = 12 ( 12 months in a year)

FV = 7,000 × $(1+\frac{0.07}{12} )^{12*14}$

FV = 7,000 × $1.005833^{168}$ = $18,598.16

4. Interests compounded continuously:

FV = PV × $e^{0.07 * 14}$

FV = 7,000 × 2.66446 = $18,651.19

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Answer:

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