expressive of the law of human mortality^ 541 
1,05 
1 
perhaps in the values of i5 ; that is, the value of the 
annuity on the joint life of a child just born, with one of the 
age of 10, at 3 per cent. Had we divided the period in por- 
tions, the value might have been obtained as near as we 
pleased ; or we should likewise have obtained greater accu- 
racy, had we assumed an accommodated chance deduced 
at a more appropriate interest than 5 per cent. See Art. 5, 
Chap. II. 
Example 2. Let it be required to find the value of a life 
annuity at 3 per cent, for 10 years, at the Carlisle mortality, 
for the five lives of the age 20, 30, 40, 45 and 50. 
In Table VIII. log. of accom. chance for lo years at age 20 r: T.9685 
30 = 1.9552 
Ditto 
Ditto 
Ditto 
Ditto 
This sought in Table I. ; thus, 1,59 giving ,79035 
,009 427 
,0005 23 
40=1.9383 
. 45 = T.9367 
• 50 = T.9292 
X 1,05 = 1.8716 
■K (a*®) = 1.5995 
1,03 
1 
— i 
gives ,79485 the N° to which log. is 6,2352 
1,03—* 
for the value of 3o. 4o._45> So . 
Example 3. Let it be required to find the value of » 
Carlisle mortality, when 5 = 10, that is, for the whole joint 
lives of 10 and 20. By dividing the whole in portions of ten 
1,03 
years, the operation will stand thus for 
iL 
b -f. 10. 
