Answer:
Calculating volumes by water displacement is always more accurate than using mathematical formulas when the objects have irregular shapes or it is difficult to measure them exactly. The only thing that you must keep in mind is measuring the water displacements properly. One ml of water equals 1 cm³, so if the water level increased by 5 ml, then the object's volume is 5 cm³.
By asking questions and demonstration. In this way, you would be able to understand the instructions fully. With the help of demonstration, it will help you understand on what to do while by asking questions, it allows you to understand the whole procedure and its importance.
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
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I believe the answer is b
