Solve for t A(2000)=p(1+0.0025/(12(3)))^(nt)

Math
A(2000)=p(1+0.002512(3))nt
Rewrite the equation as p(1+0.002512(3))nt=A(2000).
p(1+0.002512(3))nt=A(2000)
Simplify.
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Multiply 12 by 3.
p(1+0.002536)nt=A(2000)
Divide 0.0025 by 36.
p(1+0.0000694‾)nt=A(2000)
Add 1 and 0.0000694‾.
p⋅1.0000694‾nt=A(2000)
p⋅1.0000694‾nt=A(2000)
Divide each term by p and simplify.
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Divide each term in p⋅1.0000694‾nt=A(2000) by p.
p⋅1.0000694‾ntp=A(2000)p
Cancel the common factor of p.
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Cancel the common factor.
p⋅1.0000694‾ntp=A(2000)p
Divide 1.0000694‾nt by 1.
1.0000694‾nt=A(2000)p
1.0000694‾nt=A(2000)p
Move 2000 to the left of A.
1.0000694‾nt=2000Ap
1.0000694‾nt=2000Ap
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln(1.0000694‾nt)=ln(2000Ap)
Expand ln(1.0000694‾nt) by moving nt outside the logarithm.
ntln(1.0000694‾)=ln(2000Ap)
Divide each term by nln(1.0000694‾) and simplify.
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Divide each term in ntln(1.0000694‾)=ln(2000Ap) by nln(1.0000694‾).
ntln(1.0000694‾)nln(1.0000694‾)=ln(2000Ap)nln(1.0000694‾)
Simplify ntln(1.0000694‾)nln(1.0000694‾).
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Cancel the common factor of n.
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Cancel the common factor.
ntln(1.0000694‾)nln(1.0000694‾)=ln(2000Ap)nln(1.0000694‾)
Rewrite the expression.
tln(1.0000694‾)ln(1.0000694‾)=ln(2000Ap)nln(1.0000694‾)
tln(1.0000694‾)ln(1.0000694‾)=ln(2000Ap)nln(1.0000694‾)
Cancel the common factor of ln(1.0000694‾).
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Cancel the common factor.
tln(1.0000694‾)ln(1.0000694‾)=ln(2000Ap)nln(1.0000694‾)
Divide t by 1.
t=ln(2000Ap)nln(1.0000694‾)
t=ln(2000Ap)nln(1.0000694‾)
t=ln(2000Ap)nln(1.0000694‾)
t=ln(2000Ap)nln(1.0000694‾)
Solve for t A(2000)=p(1+0.0025/(12(3)))^(nt)

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