Respuesta :
Answer and Explanation:
(i) The computation of compound interest for annual is shown below:-
Compound interest = A = P × (1 + r ÷ n)^t
= $1,200 × (1 + 9% ÷ 1)^1 × 4
= $1,200 × (1.09)^4
= $1,693.897932
or
= $1,693.90
(ii) The computation of compound interest for quarterly is shown below:-
= $1,200 × (1 + 9% ÷ 4)^4 × 4
= $1,200 × (1.09)^16
= $1,713.145749
or
= $1,713.15
Since it is quarterly so we divide the interest rate by 4 and multiply the time period by 4
(iii) The computation of compound interest for monthly is shown below:-
= $1,200 × (1 + 9% ÷ 12)^4 × 12
= $1,200 × (1.0075)^48
= $1,717.6864
or
= $1,717.69
Since it is monthly so we divide the interest rate by 12 and multiply the time period by 12
(iv) The computation of compound interest for weekly is shown below:-
= $1,200 × (1 + 9% ÷ 52)^4 × 52
= $1,200 × (1.432883461 )^208
= $1719.460154
or
= $1,719.46
Since it is weekly so we divide the interest rate by 52 and multiply the time period by 52
(v) The computation of compound interest for daily is shown below:-
= $1,200 × (1 + 9% ÷ 365)^4 × 365
= $1,200 × (1.43326581 )^1460
= $1719.918972
or
= $1719.92
Since it is daily so we divide the interest rate by 365 and multiply the time period by 365
(vi) The computation of compound interest for hourly is shown below:-
= $1,200 × (1 + 9% ÷ 8760)^4 × 8760
= $1,200 × (1.433326764 )^35,040
= $1,719.992117
or
= $1719.99
(vii) The computation of compound interest for continuously is shown below:-
A = Pe^rt
= 1,200e^0.09 × 4
= 1,200e^0.36
= $1,720.00
