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find the accumulated value of an investment of $10000 for 6 years at an interest

ID: 2569550 • Letter: F

Question

find the accumulated value of an investment of $10000 for 6 years at an interest rate of 6% if the money is compounded semi-annually, Quarterly, monthly, and continuously. use the formulas A = p(1 + r/n)^nt and A = pe^rt find the accumulated value of an investment of $10000 for 6 years at an interest rate of 6% if the money is compounded semi-annually, Quarterly, monthly, and continuously. use the formulas A = p(1 + r/n)^nt and A = pe^rt find the accumulated value of an investment of $10000 for 6 years at an interest rate of 6% if the money is compounded semi-annually, Quarterly, monthly, and continuously. use the formulas A = p(1 + r/n)^nt and A = pe^rt

Explanation / Answer

1.semi-annually:

A = p(1 + r/n)^nt

=10,000(1+0.06/2)^(2*6)=$14257.61

2.Quarterly:

A = p(1 + r/n)^nt

=10,000(1+0.06/4)^(4*6)=$14295.03

3.Monthly:

A = p(1 + r/n)^nt

=10000(1+0.06/12)^(12*6)=$14320.44

4.Continously:

A = pe^rt[where e=2.71828]

Hence

A=$10,000(2.71828)^(0.06*6)=$14333.29