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KIM [24]
2 years ago
7

Jamar works at Jay's Jeweler. He earns $385 a week plus commission. Last week his sales totaled $1,680. If his commission is 25%

, how much did he earn, in total, last week?
Mathematics
2 answers:
joja [24]2 years ago
7 0
Answer
$710.75
Explanation
$1,680 - $385 = $1,295
25% of $1295 = $323.75
-BARSIC- [3]2 years ago
4 0
$805

25% of $1,680 is $420 .
$420+$385= $805
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tino4ka555 [31]

a.

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By Fermat's little theorem, we have

x^{11}\equiv (x^5)^2x\equiv x^3\equiv3\pmod5

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5 and 7 are both prime, so \varphi(5)=4 and \varphi(7)=6. By Euler's theorem, we get

x^4\equiv1\pmod5\implies x\equiv3^{-1}\equiv2\pmod5

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x=2\cdot7\cdot4\cdot2+5\cdot6

  • Taken mod 7, the first term vanishes and 30\equiv2\pmod7. Multiply by the inverse of 2 mod 7 (4), then by 6.

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b.

x^5\equiv3\pmod{64}

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x^{32}\equiv1\pmod{64}

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x^{32}\equiv25x^2\equiv1\pmod{64}

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11 = 3*3 + 2

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so that (-23)\cdot25\equiv1\pmod{64}\implies y=25^{-1}\equiv-23\equiv41\pmod{64}.

So we know

25x^2\equiv1\pmod{64}\implies x^2\equiv41\pmod{64}

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and multiplying both sides by x tells us

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