00:01
Hello students, we are given a question here that find the accumulated amount.
00:04
Okay, so we are given here some points like first is $6 in 12 we are set 8 % compounded semi -annually.
00:14
Okay, students.
00:15
So we can say that here first part is like here we are given.
00:20
So basically future value is, or we can say that here, a is equals to p times 1 plus i or can be said as r divided by 100 okay and whole power is n okay students or we can say that it should it can be written in the format of compound interest formula like a times a is equals to p times one plus r divided by hundred and whole power is t now we can put all those values so a is equal to p is given a six dollar times one plus see here r should be like eight percentage compounded semi -annually so there should be two semi -annualy so there should be two semi - in one annual in one year so basically we can say that the rate will be half so 8 divided by 2 and times 100 and power t is there are two semi -annuals okay so 2 times of 12 years now a comes out as opposed to here 6 times of 8 divided by 2 4 so 4 divided by 100 means 0 .04 so basically it should be 1 .0 4 and whole power is 24 okay students so so six times of 1 .0 .04 and whole power is 24.
01:38
What we will get? it will be equal to 2 .5 .6.
01:46
330416.
01:48
Okay, students.
01:49
So a comes out as equals to at the end of 15.
01:55
3 .7 .9 .825.
01:59
So when we round it up to two decimal places, we will get 15.
02:04
Here three eight okay students now we will go to the b part so again we can say that a comes out as equals to p times 1 plus r divided by 100 whole power is t so basically a comes out as equals to principal amount invested amount is for 14 500 so 14 500 times 1 plus rate of interest is 18 years sorry 6 percentage compounded quarterly there are four quarters in a year, so six divided by four.
02:38
Okay, students, and times 100, and whole power is, there are four quarters in a year, so four times of, time will be four, sorry, time will be four times, so 18 years, four times of 18 years.
02:52
So a is equals to 14 ,500 times it should be, see here, six are divided by four, one point five and divided by hundred and plus one.
03:04
We will get it as a 1 .015 and its whole power is 72...
