00:01
So this question is given that when kyle was born, his grandparents invested $5 ,000 in a college fund that paid 4 % interest.
00:11
Okay? so the rate of the interest of the investment is 0 .04.
00:15
That is 4 % and the principal amount is $5 ,000.
00:18
Now it is asked that what will the value of the investment when kyle was ready for the college at the age of 18? so the time of the investment is equal to 18 years.
00:28
Now there are two questions.
00:29
That is we have to find the value of investment in both the cost.
00:32
Cases but what if the interest is compounded annually and what if the interest is compounded monthly okay so let us first do for the what if the interest is compounded annually now the formula for the compound interest is given us this that is a equal to that is amount equal to principal sum into 1 plus r by n to the power t n where n is the number of times interest is compounded in a year okay and t is that time okay so for the first case that is if interest is compounded annually we can say p equal to 5 ,000, r is equal to 0 .04, n equal to 1 and t equal to 18.
01:11
So we'll put the value.
01:13
So we'll get 5 ,000 into 1 plus 0 .04 to the power 18 into 1...