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Hello everyone.
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In this question we have been given the principal amount that is t is equal to 56364 .69.
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And the rate of interest that is r is equal to 6 % compounded semi -annually and the time period is for t is equal to five years and we have to find the maturity value after 5 year and the rate and the total interest here earn all the given the principal amount.
00:50
So for the first part of the equation that is maturity value, maturity value a is given by p times 1 plus r divided by n tap hold to the power n p here n is equal to 2 because it is being compounded semi -annually so we can write a is equal to 56 ,369 dollars times one plus rate of interest is 6 % so 6 divided by 100 times the value of n is 2 and here also 2 times t is 5 so if we solve this we will get 56 ,364 .69 times 1 plus 0 .03 to the power 10.
01:47
So on calculating this value, we will get 75 ,749 .43011110.
02:05
And in the second part, so this is the final answer for the first part.
02:09
That is the maturity value.
02:10
Now for the the second part, we have to determine the interest amount.
02:18
The interest is given by the amount, total amount, or the maturity value, minus the principal amount...