It will take 8.04 years for the initial investment of $15000 to become $30,000
What is the future value of an investment?
The future value of $15,000 invested now earning a rate of return of 9% per year is $30,000, it the future equivalent of an amount invested now when the invested amount has earned interest over a specific period of time.
The below future value formula of single cash flow can be used to determine the number of years it takes for the initial investment to double.
FV=PV*(1+r)^N
FV=future value=$30,000
PV=initial investment=$15,000
r=rate of return=9%
N=number of years it takes for the initial investment to double=unknown(assume it is X)
$30,000=$15000*(1+9%)^N
$30000/$15000=(1+9%)^N
2=1.09^N
take log of both sides
ln(2)=N*ln(1.09)
N=ln(2)/ln(1.09)
N=8.04 years
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Answer:
Relationship-oriented leadership
Explanation:
Relationship-oriented leadership is the style of leaders whose main as well as primary focus is on developing, supporting as well as motivating people or members of their teams as well as the relationship within.
This leadership style encourage the good teamwork as well as collaboration by fostering the good communication and the relationship which is positive.
So, in this scenario, the team leader following the relationship oriented style of leadership as she believes in Gavin that he will be a valuable resource, which in turn means she is supporting the team.