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  • https://math.libretexts.org/Courses/Las_Positas_College/Math_for_Liberal_Arts/08%3A_Consumer_Mathematics/8.04%3A_Annuities
    \(F\cdot \dfrac{\left(\dfrac{r}{m}\right)}{\left[\left( 1+\dfrac{r}{m}\right)^{m t}-1\right]}=PMT \dfrac{\left[\left( 1+\dfrac{r}{m}\right)^{m t}-1\right]}{\left(\dfrac{r}{m}\right)}\cdot {\dfrac{\lef...F(rm)[(1+rm)mt1]=PMT[(1+rm)mt1](rm)(rm)[(1+rm)mt1] The business needs to deposit $18,063.90 at the end of each quarter for 5 years into a sinking fund earning 9% interest compounded quarterly in order to have $450,000 at the end of 5 years.

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