Select exercises for young proficients in the mathematicks ... / By Thomas Simpson.

  • Simpson, Thomas, 1710-1761.
Date:
1752
Catalogue details

Licence: Public Domain Mark

Credit: Select exercises for young proficients in the mathematicks ... / By Thomas Simpson. Source: Wellcome Collection.

    319/348 (page 305)
    to be 17.8, and the Double thereof 35.6: Now the Value of 35.6 Years of the Life C {by Tab. VI.) will be found 16.7; from which fubtra&ing (6.0) the Value of the Joint Lives A and C (foundby Tab. VIII.) there re¬ mains 10.7; this, multiply’d by 1000, gives 107005 which, divided by 35 6, quotes 300/. for the required Value of C’s Expectation, in prefent Money. PROBLEM XXXIX. a, in cafe he lives till R and S are both extindl, is to receive a Legacy of a given Value ; to determine the Worth of his Expectation in prefent Money. Solution. •j- Find, by the lad Problem, the Expectation of Qs ©n the Contingency of RJs furviving S ; and alfohis Ex¬ pectation, on the Contingency of S’s furviving R : The Sum of which Values will, confequently, be the whole ©f his Expectation, in the prefent Cafe. ix AMPLE. * r, | ' t Let the Age of Q^ be 15 Years, that of R 45 Years, and that of S 70; alfo fuppofe the given Legacy to be 1000/. and the Rate of Intereft 3 perCent. Here the firft Part of Q^s Expectation, depending on R’s furviving S, appears, from Ex. 2. of the pre¬ ceding Problem (by fubdituting Q^for C, R for B, and S for A) to be 300 /. And the latter Part of his Expectation, depending on S’s furviving R, appears, from Ex. 1 (by fubflituting for C, S for B, and R for A) to be 165 /. There¬ fore the Anfwer is 465 /. v