THE SOUTH AFRICAN NATIONAL DEBT. $21 



(ft) If a sum ///,<" be borrowed each unit of time (where c is a 

 constant i the accumulated debt is 



1=1 111 ,l 3 (/// = / ///,f " - e a(N-n) , ( J U 



J ■■ J o (a a I 



m tfi / .\ i\ '"., (b — a) t" v f _„■„ , 

 ac a J 



= "lA (e'X—l) — lll o(b—ft)e ,,x V e (c-a) n Y 

 ac ' a (c—a) L -J.. 



= »^ ( ,,v_ } _ m (b-a) I t ... s _,, lS I 

 ac ' a (c — a) i i 



On the alternative plan the sums borrowed would be 



\ "m i 

 a ) —j— per unit time, and the accumulated debt, without any 



sinking fund 



,, am X 



b 



, a , am e" 



(&) — , — per unit time, and the accumulated debt 



,. am /* x ,.,, , am , , - 1N 



l= rj edn - -uf {e -^ 



In case ft let. a = 0-030 b = 0035 c = 025 



m„ = 1,000,000 n = 50 

 Then / = 83,200,000 

 /' = 83,000,000 



Agriculture in the Mozambique Province. - 



An article descriptive of the state of agriculture in the Province of 

 Mozambique, by Mr. R. N. Lyne, lately Director of Agriculture 

 of the Province, appears in the Bulletin of the Imperial Institute 

 ( Vol. xi. Xo. i, pp. I02-HO). Although the territory described 

 could afford grazing to a million head of cattle, only live per cent, 

 of that number is carried. Foremost among the growing indus- 

 tries of the country is sugar-cane cultivation. The output of 

 sugar in 1910 was 30.000 tons, and it is anticipated that IQ14 will 

 see that figure doubled. The greatest asset which the Province 

 possesses is represented by the Landolphia rubber forests, and 

 their capital value is estimated to approximate 15 million pound- 

 sterling. Of oil-producing plants, Trichilia emetica, the source or 

 mafura tallow, and Telfairia pedata, whose kernels are rich in 

 oil, flourish at Inhambane. Sisal hemp grows from one end of 

 the Province to the other, and nowhere in East Africa has it such 

 good prospects. Mauritius hemp can be grown over a greater 

 range of latitude, but is unlikely to prove popular. Xo headway 

 has been made with cotton, and tobacco has not received its due 

 attention. 



