Question
A person invested 1100 rs in a company at compound interest compounded semi-annually.he received rs 1331 after one year.rate% is?
Answers
let the semi-annual rate be i
amount after 1 year = 1100(1 + i)^2
interest = 1100(1 + i)^2 - 1100 = 1331
1100(1 + i)^2 = 2431
(1+i)^2 = 2.21
1+i = √2.21 = appr 1.4866
i = .4866
WOW, annual rate is .4866(2) = .9732 or 97% ?????
check: 1100(1.4866..)^2 = 2430.98
interest = 1330.98 or 1331 rs
Seems unreasonable high to me, do you have a typo ??
amount after 1 year = 1100(1 + i)^2
interest = 1100(1 + i)^2 - 1100 = 1331
1100(1 + i)^2 = 2431
(1+i)^2 = 2.21
1+i = √2.21 = appr 1.4866
i = .4866
WOW, annual rate is .4866(2) = .9732 or 97% ?????
check: 1100(1.4866..)^2 = 2430.98
interest = 1330.98 or 1331 rs
Seems unreasonable high to me, do you have a typo ??
answer rate 20%
poorly worded question,
so the <b>amount</b> is 1331 rs, then
1100(1+i)^2 = 1331
(1+i)^2 = 1.21
1+i = √1.21 = 1.1
i = .1 or 10%
so the annual rate is 20%
so the <b>amount</b> is 1331 rs, then
1100(1+i)^2 = 1331
(1+i)^2 = 1.21
1+i = √1.21 = 1.1
i = .1 or 10%
so the annual rate is 20%
Related Questions
What are the compound amount and interest at the end of three years if bire 10,000 borrowed at annua...
what are the compound amount and compund interest at the end of three years if birr 10,000 is borrow...
Shelby invested $400 in account with a 2.5% interest rate compounded semi annually. She made no depo...