Calculate 30461

Mrs. Zdena took over the goods that were ordered, which were worth 5000€. She did not pay the invoice by the required date of 31.5.2019. Interest on arrears is 5.5% per annum. Calculate the payment as of 31.8.2019.

Correct answer:

x =  5068.75 Eur

Step-by-step explanation:

$$\begin{gathered} a=5000\text{Eur} \\ m=3 \\ p=5.5\%=\frac{5.5}{100}=0.055 \\ u=a\cdot p\cdot \frac{3}{12}=5000\cdot \frac{11}{200}\cdot \frac{3}{12}=\frac{275}{4}=68.75\text{Eur} \\ x=u+a=\frac{275}{4}+5000=\frac{275}{4}+\frac{5000\cdot 4}{4}=\frac{275}{4}+\frac{20000}{4}=\frac{275+20000}{4}=\frac{20275}{4}=\frac{20275}{4}\text{Eur}=5068.75\text{Eur} \end{gathered}$$

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