Solve for p A(4000)=p(1+0.0025/12)^(nt)

A(4000)=p(1+0.002512)nt

Rewrite the equation as p(1+0.002512)nt=A(4000).

p(1+0.002512)nt=A(4000)

Simplify.

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Divide 0.0025 by 12.

p(1+0.0002083‾)nt=A(4000)

Add 1 and 0.0002083‾.

p⋅1.0002083‾nt=A(4000)

Divide each term by 1.0002083‾nt and simplify.

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Divide each term in p⋅1.0002083‾nt=A(4000) by 1.0002083‾nt.

p⋅1.0002083‾nt1.0002083‾nt=A(4000)1.0002083‾nt

Cancel the common factor of 1.0002083‾nt.

p=A(4000)1.0002083‾nt

Move 4000 to the left of A.

p=4000A1.0002083‾nt

Solve for p A(4000)=p(1+0.0025/12)^(nt)