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Answer:
X=97.24
Explanation:
PV = Present Value = X+2000 by the 16th years
PMT = Payments = $100
FV = Future Value = 2000 at the end of 16 years
n= number of years
Applying the equation of future value for annuity
FV = pmt* ((1+r)ⁿ - 1
)/r
Inputting the values;
2000=100*((1+r)¹⁶-1)/r
Solving for r, gives r = 2.9%
Therefore using the formula for PV for annuity;
PV=PMT*(1-(1/1+r)/r)
X=100*(1-(1/1.029)/0.029
X=100*((1-0.9718)/0.029)
X=100*(0.0282/0.029)
X=97.24
To know how much you'll have by the end of the 15th year, you need to calculate <span>the future value of an annuity as follows:
</span><span>the future value of an annuity = investment [( 1 + interest)^number of years -1)] / interest
</span>
Substituting with the givens, you can get the future value annuity as follows:
<span>the future value of an annuity = 3500 [(1+0.05)^15 -1)]/0.05
</span> = 75524.97 $
The correct choice is (b)
The Code of Hammurabi was one of the earliest and most complete written legal codes, proclaimed by the Babylonian king Hammurabi, who reigned from 1792 to 1750 B.C. Hammurabi expanded the city-state of Babylon along the Euphrates River to unite all of southern Mesopotamia. The Hammurabi code of laws, a collection of 282 rules, established standards for commercial interactions and set fines and punishments to meet the requirements of justice. Hammurabi’s Code was carved onto a massive, finger-shaped black stone stele (pillar) that was looted by invaders and finally rediscovered in 1901.
