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Find the compound interest and the total amount after 4 years and 6 months if the interest is compoundedannually.Principal = 1,00,000Rate of interest = 10% per annumTotal amount =Compound interest

Find The Compound Interest And The Total Amount After 4 Years And 6 Months If The Interest Is CompoundedannuallyPrincipal 100000Rate Of Interest 10 Per AnnumTot class=

Sagot :

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

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