Given:
Principal = P = 100,000
Rate of interet = r = 10% = 0.1
Compounded annually, n = 1
Time = t = 4 years and 6 months = 4.5 years
So,
The total amount = A
[tex]A=P\cdot(1+\frac{r}{n})^{nt}[/tex]
Substitute with the given data:
[tex]A=100,000\cdot(1+\frac{0.1}{1})^{4.5}=100,000\cdot1.1^{4.5}=153,556.1[/tex]
And the compound interest =
[tex]153,556.1-100,1000=53,556.1[/tex]
So, the answer will be:
Total amount = 153,556.1
Compound interest = 53,556.1
