Question

When required the following logarithms may be used.
$\log 2=.3010300,\log 3=.4771213$,
$\log 7=.8450980,\log 11=1.0413927$.
What is the amount of a farthing in $200$ years at $6$ per cent. compound interest? Given $\log 106=2.0253059,\log 115.0270=2.0611800$.

Answer 1

$A=P(1+\frac{R}{100}{)}^n$

$A=1(1+0.06{)}^{200}=(1.06{)}^{200}$

$\Rightarrow \log A=200\log 1.06=5.0611800$

$\Rightarrow A=115027$