Dupe's present age = 14 years
Olu's present age = 11 years
Explanation:
- Let Dupe's age be x. Let Olu's age be y. Since their ages add up to 25 years, x + y = 25
- Eight years ago Dupe's age was double that of Olu's age. Solving by simultaneous equations. Four methods are Elimination Method, Graphical Method, Substitution Method, and Matrix Method. Let us try out Elimination method for solving a pair of simultaneous linear equations that reduces one equation to one that has only a single variable. Once this has been done, the solution is the same as that for when one line was vertical or parallel.
- Therefore, eight years ago, Dupe's age was 6 and Olu's age was 3 so that x=2y becomes, 6=2*3. Eight years hence, x=6+8=14 and y=3+8=11. That makes, x or Dupe's age as 14 years and y or Olu's age as 11 years.
Answer:
$163,100
Explanation:
First find the present value of cashflows at year 1 and 2
<u>PV of $82,400;</u>
PV = FV/(1+r)^n
PV = 82,400/(1.1275)^1
PV = $73082.0399
<u>PV of $148,600;</u>
PV = FV/(1+r)^n
PV = 148,600 /(1.1275)^2
PV = $116,892.2473
From the cumulative present value of 303,764.34, find the balance after deducting the above PVs;
PV of cashflow yr3 = $303,764.34 -$73082.0399 -$116,892.2473
PV of cashflow yr3 = $113,790.053
Next, calculate year 3's cashflow;
Year 3 cashflow = 113790.053(1.1275)^3
Year 3 cashflow = $163,099.996
Expected cashflow in third year is approximately $163,100
Answer:
The correct word for the blank space is: transactional leader.
Explanation:
Transactional leadership is the type of managerial leadership in which the leader motivates the performance of the subordinates through a system of rewards and punishments. It means the leader rewards those employees who perform their duties efficiently and punishes those who do not meet the expectations, provoking in such a way that the employees work the best way possible.
Therefore, <em>if Clarissa provides her subordinates rewards if they do their jobs well, she is likely to be a transactional leader.</em>
Answer:
the portfolio's return will be Ep(r)= 9.2 %
Explanation:
if the stock lies on the security market line , then the expected return will be
Ep(r) = rf + β*( E(M)- rf)
where
Ep(r) = expected return of the portfolio
rf= risk free return
E(M) = expected return of the market
β = portfolio's beta
then
Ep(r) = rf + β*( E(M)- rf)
E(M) = (Ep(r) - rf ) / β + rf
replacing values
E(M) = (Ep(r) - rf ) / β + rf
E(M) = ( 17.2% - 3.2%) /1.4 + 3.2% = 13.2%
since the stock and the risk free asset belongs to the security market line , a combination of both will also lie in this line, then the previous equation of expected return also applies.
Thus for a portfolio of β=0.6
Ep(r) = rf + β*( E(M)- rf) = 3.2% + 0.6*(13.2%-3.2%) = 9.2 %
Ep(r)= 9.2 %
