00:01
Hi, now we are going to find how long will it take to save $1795.
00:07
So here we have the future value is $1795 and he deposits 128 at the end of every month.
00:20
So here the periodic payment is $128 and the given interest rate is 8%.
00:29
So this can be written as 0 .08.
00:35
Here the interest was compounded monthly.
00:39
So we get i is equal to 0 .08 divided by n and this will be equal to 0 .0067.
00:49
Now we know that future value is equal to periodic payment into 1 minus 1 plus i the whole power minus n divided by i.
01:02
So now here we have to find the value of n.
01:05
Now i am going to substitute the corresponding values in this formula.
01:08
Then we get $1795 is equal to 128 multiplied by 1 minus 1 plus 0 .0067 the whole power minus n divided by 0 .0067.
01:25
From this we can write $1795 divided by 128 into 0 .0067 is equal to 1 minus 1 .0067 the whole power minus n...