Answer:
The final amount in the account after 6 years at compound interest is $1568.78 .
Explanation:
Given as :
The principal amount in account = p = $1500
The rate of compound interest = r = 0.75 %
The time period of the loan = t = 6 years
Let The Amount in account after 6 years = $A
From Compound Interest method
Amount = Principal ×
![(1+(\textrm rate)/(100))^(\textrm time)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8vyvx45u1j0hhdziyk2l5d1e1b8uz8wocs.png)
I.e A = p ×
![(1+(\textrm r)/(100))^(\textrm t)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3ge80ih8t4r8epphg8xfemr3nb1bkzhuex.png)
Or, A = $1500 ×
![(1+(\textrm 0.75)/(100))^(\textrm 6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tr3lnbspv3sz0ahcqqew821ua0gpc6rwn0.png)
Or, A = $1500 ×
![(1.0075)^(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yebi7eswl4xtmsj3ldfw8l6l9fx3v4gwv8.png)
Or, A = $1500 × 1.04585
Or, A = $1568.775
So, The final amount= A = $1568.78
Hence The final amount in the account after 6 years at compound interest is $1568.78 . Answer