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PV=FV/(l+r)t 1250= 1350/(1+r)] no

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PV=FV/(l+r)t
 1250= 1350/(1+r)]
no

PV=FV/(l+r)t 1250= 1350/(1+r)] no

Çözüm

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Elvan
Elit · 8 yıl öğretmeni
Uzman doğrulaması

Cevap

Let's solve the equation step by step:<br /><br />Given:<br />\[ PV = \frac{FV}{(1 + r)^t} \]<br /><br />Substitute the given values:<br />\[ 1250 = \frac{1350}{(1 + r)^t} \]<br /><br />To isolate \( (1 + r)^t \), multiply both sides by \( (1 + r)^t \):<br />\[ 1250(1 + r)^t = 1350 \]<br /><br />Now, divide both sides by 1250:<br />\[ (1 + r)^t = \frac{1350}{1250} \]<br />\[ (1 + r)^t = 1.08 \]<br /><br />To solve for \( r \), take the \( t \)-th root of both sides:<br />\[ 1 + r = (1.08)^{\frac{1}{t}} \]<br /><br />Finally, subtract 1 from both sides to solve for \( r \):<br />\[ r = (1.08)^{\frac{1}{t}} - 1 \]<br /><br />So, the solution for \( r \) is:<br />\[ r = (1.08)^{\frac{1}{t}} - 1 \]
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