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Home » Quarterly rate = \( \frac64 = 1.5\% = 0.015 \) - Abu Waleed Tea

Quarterly rate = \( \frac64 = 1.5\% = 0.015 \) - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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k \equiv 3 \pmod{5} \
k \equiv 4 \pmod{7} \
k \equiv 2 \pmod{9}
We apply the Chinese Remainder Theorem step by step.
First, solve the first two congruences:
Let \( k = 5a + 3 $. Substitute into the second:
5a + 3 \equiv 4 \pmod{7} \implies 5a \equiv 1 \pmod{7}
Multiply both sides by the modular inverse of 5 modulo 7. Since \( 5 \...
a \equiv 3 \cdot 1 = 3 \pmod{7} \implies a = 7b + 3
k = 5(7b + 3) + 3 = 35b + 15 + 3 = 35b + 18

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