I think the answer you're looking for is 'D' if you're asking what productivity is in a generalized sense.
Answer:
$77,217
$11,289
Explanation:
Fist we will calculate the present value of $10,000 payment
A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity. The value of the annuity is also determined by the present value of annuity payment.
Formula for Present value of annuity is as follow
PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]
Where
P = Annual payment = $10,000
r = rate of return = 10% / 2 = 5%
n = number of period = 5 years x 2 semiannual payments per year = 10 payments
PV of annuity = $10,000 x [ ( 1- ( 1+ 0.05 )^-10 ) / 0.05 ]
PV of Annuity = $77,217
Now we will use the discounting method to calculate the present value of lump sum payment of $20,000
Present value = Future value x Present value factor
PV = FV x ( 1 + r )^-n
PV = $20,000 x ( 1 + 0.1 )^-6
PV = $11,289
The dividend will be $4.015
<u>Explanation:</u>
The given data is: Initial dividend given is = $3 and growth rate given is = 6%
the following formula is used in order to calculate the dividend
dividend at time 5 = d0 multiply with (1+growth rate) power 5
= $3.00 multiply with (1+0.06) power 5
=>$3.00 multiply (1.33822558)
=>$4.015 (rounded to two decimals).
<u>Note :</u> The dividend is the amount that is paid by the company to its shareholders. The amount of dividend may vary from year to year depending upon the profitability level of the company that it earned during the year.
Answer:
a) 0.0358
b) 0.0395
c) 0.1506
Explanation:
Number of clues "daily doubles" = 3
Determine the probabilities
<u>a) P(single contestant finds all three ) </u>
assuming event A= a returning champion gets the "daily double" in first trial
P(A) = 1/30 , P(~A) = 29/30
assuming event B = any player picks up "daily double" after the first move
P(B |~A ) = 1/3
hence : P ( B and ~A ) = 29/30 * 1/3 = 29/90
<em>considering second round </em>
P(player chooses both daily doubles ) = 1/3 * 1/3 = 1/9
∴ P(single contestant finds all three ) = 29/90 * 1/9 = 0.0358
<u>B) P ( returning champion gets all three ) </u>
= (1/30 + 29/90 )* 1/9
= 32 / 810 = 0.0395
<u>c) P ( each player selects only one )</u>
P = 32/405 + 29/405
= 61 / 405 = 0.1506
Answer:
Hey will you marry me? serious question
