To solve this problem, we use the formula:
F = A [(1 + i)^n – 1] / i
where,
F is the future value or the amount he will have
A is the amount he invest each year = 1200
n is number of years = 70 – 21= 49
i is the interest or return rate = 7% = 0.07
Hence the value of F is:
F = 1200 * [1.07^49 – 1] / 0.07
<span>F = $454,798.80 </span>
Given:
Future value, F=60508.29
Monthly payment, A = 165
Compounding period = month
Number of periods, n = 12*12=144
interest per period = i [ to be found ]
We have the relationship
F=A((1+i)^n-1)/i
but there is no explicit formula for i for given F, A and n.
We need to solve a non-linear equation for the value of i, the monthly interest rate.
One of the ways is to solve it by fixed iteration, i.e.
1. using the given relation, express i in terms of other parameters.
2. select an initial value of i
3. evaluate i according the equation in step 1 until the value is stable.
Here we will use the relationship to express
i=((60508.29*i)/165+1)^(1/144)-1 [ notice that i is on both sides of = sign ]
using an initial value of i=0.01 (about 1% per month).
Successively, we get
i=((60508.29*0.01)/165+1)^(1/144)-1=0.01075571
i=((60508.29*0.01075571)/165+1)^(1/144)-1=0.011160681, similarly
i=0.0113685
i=0.0114728
i=0.0115246
i=0.0115502
i=0.0115628
i=0.0115690
i=0.0115720
Assuming the above has stablilized, and the APR is 12 time the above value, namely
Annual percentage rate = 0.01157205998210142*12=0.13886=13.89%
I believe the correct answer is true. <span>For every decision you make, there is a trade-off. A decision is always accompanied by two choices. One of these choices is the better. Every choice has its own advantage and disadvantage so that a trade off will always be present. Hope this answers the question.</span>
Robert should use intermittent schedules of reinforcement to keep his employees mentally alert and interested. The procedure of learning through association to increase or decrease voluntary behavior using punishment and reinforcement is known as operant conditioning.
Reinforcement schedules are the rules that govern the timing and frequency of reinforcer delivery in order to increase the likelihood that a target behavior will occur again, strengthen, or continue. A contingency timetable is one that includes reinforcement. While intermittent schedules provide reinforcers.
After some but not all correct replies, intermittent schedules apply reinforcement after each correct response, or none at all. Reinforcers are only used after the target behavior has occurred, so reinforcement is conditional on the desired behavior.
To learn more about intermittent click here,
brainly.com/question/27612374
#SPJ4
Answer:
A business invitee
Explanation:
A business invitee is any person or group of people who enters another person's commercial property to do business. A business invitee's purpose is to engage in a commercial transaction with property or landowner. The landowner is liable to any injuries or harm suffered by a business invitee due to dangerous conditions on the property.
Commercial property or premises refers to land or building designated for business transactions such as a retail store or a restaurant. In law, customers are business invitees. The assumption is that customers enter commercial premises to do business with the business owner.
