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A farmer borrowed ksh 15000 from a SACCO and repaid a total of Ksh 18,450 after 2 years. Calculate the rate of simple interest charged per year. (2mks)

Mathematics

ScanSolve AI Answer

Answer

110∘\text{110}^\circ

Step-by-step solution

3 steps

Huu hapa ni ufumbuzi wa swali la 29:

  1. Tambua uhusiano wa pembe.

    Katika mchoro, mistari miwili ni sambamba. Pembe xx imeundwa na jumla ya pembe mbili za ndani zinazopishana (alternate interior angles). Tunaweza kufikiria mstari wa tatu sambamba na mistari iliyopo, ukipita kwenye kipeo cha pembe xx.

  2. Tumia kanuni ya pembe za ndani zinazopishana.

    Pembe ya juu ya xx inalingana na 50∘50^\circ kwa sababu ni pembe za ndani zinazopishana.
    Pembe ya chini ya xx inalingana na 60∘60^\circ kwa sababu ni pembe za ndani zinazopishana.

  3. Tafuta thamani ya xx.

    Jumla ya pembe hizi mbili inatoa pembe xx.

    x=50∘+60∘x = 50^\circ + 60^\circ x=110∘x = 110^\circ

    Pembe xx ni 110∘\boxed{\text{110}^\circ}.

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