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Ilia_Sergeevich [38]
3 years ago
7

You need to accumulate $10,000. To do so, you plan to make deposits of $1,000 per year - with the first payment being made a yea

r from today - into a bank account that pays 14% annual interest. Your last deposit will be less than $1,000 if less is needed to round out to $10,000. How many years will it take you to reach your $10,000 goal
Business
1 answer:
evablogger [386]3 years ago
7 0

Answer:

It will take 6.68 years to reach the $10,000 goal.

Explanation:

As the deposit of $1,000 per year is a form of the annuity payment.

We will use the following formula in order to calculate the numbers of year required to reach the goal

Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate

Where

Future value of Annuity = Target amount = $10,000

Annuity payment = Yearly deposti = $1,000

Interest rate = 14%

Numbers of years = n = ?

Placing values in the formula

Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate

$10,000 = $1,000 x ( ( ( 1 + 14% )^n ) - 1 ) /14%

$10,000 x 14% = $1,000 x ( ( ( 1.14 )^n ) - 1)

$1,400 = $1,000 x ( ( ( 1.14 )^n ) - 1)

$1,400 / $1,000 = ( ( 1.14 )^n ) - 1

1.4 = ( ( 1.14 )^n ) - 1

1.4 + 1 = 1.14^n

2.4 = 1.14^n

Log 2.4 = n x Log 1.14

n = Log 2.4 / Log 1.14

n = 6.681525965

n = 6.68 years

It will take 6.68 years to reach the $10,000 goal.

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A)

Withholdings are the amount that is associated with the payroll deductions from an employee's gross wages. The employer does not include withholdings in the employee's paycheck. Instead of adding it to the salary, the amount is transferred to the federal, state, or local government or tax authorities. It also decreases the tax that an employee has to pay during the yearly tax return.

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When an employer withholds any amount from an employee's gross salary, such as taxes, insurance, wage responsibilities, saving plans, and child support payments, it refers to deductions. The payroll deduction is also known as involuntary deductions because the employer is withholding the amount. Those deductions are legally deductible; therefore, it is automatic deductions.

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A list of periodic reports that enlist the hourly wages, additionals, gross pay, deductions, net pay, and the date of payrolls refers to the payroll register. More precisely, it is a summary of each employee's paycheck throughout a period. It starts with the current quarter's or month's total hourly wages and ends with the net pay of the employee.

D)

The commission is the percentage paid to an employee for his or her additional service provided for the company. For example, a company asks an employee to produce anything over 500 shirts per week will receive 10% additions, if the employee contributes in 510 shirts, he will receive an extra payment, it is commission. The hourly rate is the amount paid to the employee per hour. The salary is the monthly or weekly amount paid to an employee for his periodic contribution towards a business.

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The commission is the portion given to an employee for his or her supplementary service rendered for the company. For example, a manager of a firm urges the sales representative to sell $10,000 per month to receive an extra 10% of the total sales. If the sales representative sells $10,000 or more, he will receive an additional fee as a percentage. That percentage refers to the commission.

F)

Specific payroll deduction means deduction from paycheck to meet the obligations of income tax and other required duties. Every individual and corporation whose income is taxable is obliged to pay a tax. In the case of specific payroll deduction, an employee is legally obligated to withhold this money from an employee's payroll check based on federal and state laws. But specifically required deduction is not only used for tax provisions but also used for employee-related benefits like health insurance and short time disability plans that are offered by the employer.

G)

According to the Cambridge dictionary, hourly rate means the amount of money that is charged, paid, or earned for every hour worked. An employer is bound to pay a minimum hourly wage to the employee. It is one of the critical issues as many workers work as a part-time job. Since it is not a fixed job, so monthly or weekly payment is not applicable here. To adjust the amount for every type of employment, whether it is a permanent or temporary hourly rate of wage, is the best solution.

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J)

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