KAMATNI RACUN.ppt
Transcript of KAMATNI RACUN.ppt
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Ponovimo!Što je postotak ?Koje veličine izračunavamo kod postotka ?
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Kako se izračunaju postotni iznos, osnovna vrijednost i postotak, ako su poznate dvije veličine ?
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ODGOVORI :Postotak je razlomak s nazivnikom sto.Kod postotka su : postotak ( p ), postotni iznos ( y ) i osnovna
vrijednost ( x ).
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y = p
100 x
x = 100 y
p p = 100 y
x
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ZadačićPrilikom prženja kava gubi 12 % svoje mase. Koliko treba sirove kave ako želimo dobiti 2.2 tone pržene kave ?
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Rješenje : x – 12 % od x = 2.2 x – 0.12 x = 2.2 0.88 x = 2.2 x = 2.5 Potrebno je 2.5 tona sirove kave.
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KOLIKO NOVACA ?
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U svakidašnjem životu novac se često ulaže u banku. Postavlja se pitanje koji je interes banke i ulagača.
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Interes štediše je da nakon isteka vremena na koji je novac uložen u banku dobije i još dodatni novac koji se zove KAMATA.
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Interes banke je što ona posluje s novcem svoga štediše. U pravilu banka ima veliki broj štediša i posluje s velikom svotom novaca. Banka taj novac posuđuje uz određenu naknadu, pa dio zarade daje svojim štedišama.
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Uobičajeno je da se kamate ugovaraju u postocima od svote koju je štediša uložio i na određeno vrijeme.
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A GDJE SU BILI OVI NOVCI ?
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O čemu će dakle ovisiti kamate?
O svoti koju štediša uloži – osnovna vrijednost, a u kamatnom računu
GLAVNICA ( g )
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O postotku ili u kamatnom računu KAMATNA STOPA ( s )
i VREMENU na koje je štednja uložena u banku ( v )
vrijeme je izraženo u godinamaKako će ovisiti o tim veličinama –
istražimo ...
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GLAVNICA
KAMATNA STOPA
VRIJEME KAMATE
1000 kn 5 % 1 god. 50 kn
2000 kn 5 % 1 god. 100 kn
3000 kn 5 % 1 god. 150 kn
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GLAVNICA
KAMATNA STOPA
VRIJEME
KAMATE
3000 kn 5 % 1 god. 150 kn
3000 kn 10 % 1 god. 300 kn
3000 kn 15 % 1 god. 450 kn
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GLAVNICA
KAMATNA STOPA
VRIJEME KAMATE
2000 kn 5 % 1 god. 100 kn
2000 kn 5 % 2 god. 200 kn
2000 kn 5 % 3 god. 300 kn
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Što zaključujete ?Kako ovise kamate o glavnici, kamatnoj stopi i vremenu ?Napišite formulu !
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Kamate su proporcionalne glavnici, kamatnoj stopi i vremenu trajanja štednje.
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k = g · s · v osnovna formula jednostavnog kamatnog računa
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g = 100ks v s =
100 kg v
v = 100 ks g
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A sada zadaci i uživajte !
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Zadaci :1 ) Čedo je u banku uložio 15 000 kuna. uz kamatnu stopu 7.5 % .Koliko će novaca dobiti za 3 godine ?2) Za koje vrijeme naraste glavnica od 127 500 kuna uložena uz kamatnu stopu od 19.6 % za 62 475 kuna?
3) Koja glavnica uz kamatnu stopu 24.6 % na 56 mjeseci naraste na
64 440 kuna ?
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RJEŠENJA :1 ) g = 15 000 kn
s = 7.5 % = 0.075 v = 3 god. k = ? k = g · s · v k = 0.075 · 15 000 · 3 k = 3 375 kn 15 000 + 3 375 = 18 375 knČedo će nakon 3 godine dobiti 18 375 kuna
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2 ) g = 127 500 kn s = 19.6 % k = 62 475 v = ?
v = 100 ks g
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v = 6247500 :( 19.6 · 127500 )
v = 2.5 godine
V = 2 godine i 6 mjeseci
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3 )s = 24,6 % = 0.246v = 56 mjeseci = 4.66 god.g + k = 64 44o kunag + 4.66·0.246 · g = 64 440 2. 1479 g = 64 440 g = 30 000 kuna
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A SADA ZADACI IZ UDŽBENIKA !