Answer:
a) unemployment rate = 15
b) unemployment rate = 2.5
Explanation:
unemployed people are those who are willing and available to work and have actively been seeking a job in the past four weeks. This accurately describes the 12 people who are willing, able and looking for work but cannot find jobs. To calculate the unemployment rate in percentage, the following formula is used:
[tex]unemployment\ rate = \frac{number\ of\ unemployed}{labour\ force} \times 100\\[/tex]
Where:
a) Number of unemployed = 12
Labour force = 80 (number of people over 16 years of age)
[tex]\therefore unemployment\ rate = \frac{12}{80} \times 100 = 0.15 \times 100 = 15\\[/tex]
b) if 10 of the unemployed people get discouraged and give up looking for work, the number of unemployed becomes 2 persons, (12 - 10 = 2).
[tex]\therefore unemployment\ rate = \frac{2}{80} \times 100 = \frac{200}{80} = 2.5[/tex]
Which of the following statements about annuities are true? Check all that apply. An ordinary annuity of equal time earns less interest than an annuity due. Annuities are structured to provide fixed payments for a fixed period of time. When equal payments are made at the beginning of each period for a certain time period, they are treated as ordinary annuities. When equal payments are made at the beginning of each period for a certain time period, they are treated as an annuity due.
Answer:
The true statements are:
Annuities are structured to provide fixed payments for a fixed period of time.
When equal payments are made at the beginning of each period for a certain time period, they are treated as an annuity due.
Explanation:
Annuities provide fixed payments for a lifetime or a specified period of time. With equal payments at the beginning of each period for a fixed period of time, the annuity is regarded as an annuity due. But with equal payments at the end of the period, it is an ordinary annuity. A common example of annuity due is payment for Rent at the beginning of the month or year. If the Rent is paid at the end of the month or year, it is an ordinary annuity.
Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you just received your salary of $58,000 and you plan to spend all of it. However, you want to start saving for retirement beginning next year. You have decided that one year from today you will begin depositing 3 percent of your annual salary in an account that will earn 11 percent per year. Your salary will increase at 6 percent per year throughout your career.
Required: How much money will you have on the date of your retirement 40 years from today?
Answer:
The amount you will have on the date of your retirement 40 years from today is $1,904,087.20.
Explanation:
This can be determined using the formula for calculating the future value of growing annuity as follows:
FV = M * (((1 + r)^n - (1 + g)^n) / (r - g)) ...................................... (1)
Where
FV = Future value or the amount on the date of retirement = ?
M = First annual deposit = Annual salary * Deposit percentage = $58,000 * 3% = $1,740
r = annual interest rate = 11%, or 0.11
g = salary growth rate = 6%, or 0.06
n = number of years = 40 years
Substituting all the values into equation (1), we have:
FV = $1,740 * (((1 + 0.11)^40 - (1 + 0.06)^40) / (0.11 - 0.06))
FV = $1,740 * 1,094.30298736951
FV = $1,904,087.20
Therefore, the amount you will have on the date of your retirement 40 years from today is $1,904,087.20.
Below are several names of companies and their founders. Explain whether the business creates and sells innovative products or uses innovative methods or both
Answer:
my Answer is a products is notikdd