Answer:
3 years
Explanation:
The computation of the time period is shown below
Present value of annuity = Annuity × [1 - (1 + interest rate)^-time period] ÷ rate
$2,000 = $734.42 × [1 - (1.05)^-n] ÷ 0.05
$2,000 = $14,688.4 × [1-(1.05)^-n]
1-(1.05)^-n = ($2000 ÷ $14,688.4)
(1.05)^-n = 1 - ($2000 ÷ $14,688.4)
( 1 ÷ 1.05)^n = 0.86383813
Now take the log to the both sides
n × log(1 ÷ 1.05) = log0.86383813
n = log0.86383813 ÷ log (1 ÷ 1.05)
= 3 years
Answer:
I used the relative frequency method
Explanation:
To solve this question we can use the relative frequency to find out each probability. The relative frequency is the ratio of the occurrence of each event and the total number of outcomes.
Here the experiment has been repeated 50 times, so that is the total number of outcomes and the denominator. There are 3 possible events E1, E2, and E3, so we can calculate the ratios to get the probabilities
Event E1 occurred 20 times of the 50: 
Event E2 occurred 13 times of the 50: 
Event E3 occurred 17 times of the 50: 
Economic Activities are the actions related to the production, distribution, and exchange of goods and services. So for an evening news bulletin on TV or radio, some examples are:
- The service of the reporters who research a story and check facts
- The cost of paper and materials used in the newsroom
- The equipment that establishes a TV or radio signal and broadcasts it out to people
- Cable service or radios that are purchased in order to hear/see the news
Answer:
1. 48 dollars
2. 30 dollars
Explanation:
The yearly premium on their homeowner's insurance policy is $600 for the coverage they need.
Their insurance company offers a discount of 8 percent if they install dead-bolt locks on all exterior doors.The couple can also receive a discount of 5 percent if they install smoke detectors on each floor.
1. What discount will Dave and Ellen receive if they install the dead-bolt locks?
discount for deadbolts =
Discount % x Premium
0.08 x 600 = 48 dollars
b. What discount will Dave and Ellen receive if they install smoke detectors?
discount for deadbolts =
Discount% x Premium
0.05 x 600 = 30 dollars
Given the following parameters:
The employer pays the employee (gross earnings) – $1,200
The employer pays for social security and medicare taxes – $91.80
The employer pays for the Federal
Unemployment Tax Act (FUTA) – $9.60
The employer pays for the State
Unemployment Tax Act (SUTA) – $64.80
The total cost of this employee to the employer is the summation of all these costs
1,200 + 91.80 + 9.60 + 64.80 = $1366.20
