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Problem 40

Consider a CD paying a \(3.6 \%\) APR compounded daily. (a) Find the periodic interest rate. Leave your answer in fractional form. (b) Find the future value of the \(\mathrm{CD}\) if you invest \(\$ 3250\) for a term of four years.

Problem 41

Consider a CD paying a \(3 \%\) APR compounded continuously. Find the future value of the \(\mathrm{CD}\) if you invest \(\$ 1580\) for a term of three years.

Problem 42

Consider a CD paying a \(3.6 \%\) APR compounded continuously. Find the future value of the \(\mathrm{CD}\) if you invest \(\$ 3250\) for a term of four years.

Problem 43

Consider a CD paying a \(3 \%\) APR compounded continuously. Find the future value of the \(\mathrm{CD}\) if you invest \(\$ 1580\) for a term of 500 days. Round your answer to the nearest penny.

Problem 44

Consider a CD paying a \(3.6 \%\) APR compounded continuously. Find the future value of the \(\mathrm{CD}\) if you invest \(\$ 3250\) for a term of 1000 days. Round your answer to the nearest penny.

Problem 45

Suppose you invest \(\$ P\) on a CD paying \(2.75 \%\) interest compounded continuously for a term of three years. At the end of the term you get \(\$ 868.80\) from the bank. Find the value of the original principal \(P\).

Problem 46

Suppose you invest \(\$ P\) on a CD paying \(1.85 \%\) interest compounded continuously for a term of five years. At the end of the term you get \(\$ 1645.37\) from the bank. Find the value of the original principal \(P\).

Problem 47

Find the APY for an APR of \(3 \%\) compounded (a) yearly (b) semi-annually (c) monthly (d) continuously

Problem 48

Find the APY for an APR of \(3.6 \%\) compounded (a) yearly (b) semi-annually (c) monthly (d) continuously

Problem 49

For an investment having an APY of \(6 \%\), estimate the number of years needed to double the principal.

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