Deposit withdrawal

Paul deposited 1,750 euros in the bank at an interest rate of 2.60 percent. He wants to withdraw the money after 9 months.
A) How much would he earn in interest? (withdrawal is free of charge.)
B) How much will he receive if the interest is taxed at 19%?

Correct answer:

x =  34.13 Eur
y =  27.6413 Eur

Step-by-step explanation:

$$\begin{gathered} a=1750\text{eur} \\ m=9/12=\frac{3}{4}=0.75 \\ q=2.60\%=\frac{2.60}{100}=0.026 \\ x=a\cdot q\cdot m=1750\cdot 0.026\cdot 0.75=34.13\text{Eur} \end{gathered}$$

$$\begin{gathered} k=100\%-19\%=1-\frac{19}{100}=0.81 \\ y=k\cdot x=0.81\cdot 34.125=27.6413\text{Eur} \end{gathered}$$

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