Question

alguém gênio em matemática pra me ajudaaaaa​

Answer 1

$\underline{\text{Letra A)}}$

$\text{JUROS SIMPLES:}$

$M=J+C\implies$

$\implies M=C\cdot i\cdot t+C\implies$

$\implies M=C(i\cdot t+1)\implies$

$\implies M=2000(3\% \cdot 3+1)\implies$

$\implies M=2000(\frac{3}{100} \cdot 3+1)\implies$

$\implies M=2000(\frac{9}{100}+1)\implies$

$\implies M=2000(\frac{109}{100})\implies$

$\implies M=20(109)\implies$

$\implies \underline{\boxed{M=2180}}.$

$\text{JUROS COMPOSTOS:}$

$M=C(1+i)^t\implies$

$\implies M=2000(1+3\%)^3\implies$

$\implies M=2000(1+\frac{3}{100})^3\implies$

$\implies M=2000(\frac{103}{100})^3\implies$

$\implies M=2000(\frac{1092727}{100000})\implies$

$\implies M=2(\frac{1092727}{100})\implies$

$\implies M=\frac{2185454}{100}\implies$

$\implies \underline{\boxed{M=21854,\!54}}\,.$

$\underline{\text{Letra B)}}$

$\text{JUROS SIMPLES:}$

$M=C(i\cdot t+1)\implies$

$\implies M=15000(5\% \cdot 2+1)\implies$

$\implies M=15000(\frac{5}{100} \cdot 2+1)\implies$

$\implies M=15000(\frac{10}{100}+1)\implies$

$\implies M=15000(\frac{110}{100})\implies$

$\implies M=150(110)\implies$

$\implies \underline{\boxed{M=16500}}.$

$\text{JUROS COMPOSTOS:}$

$M=C(1+i)^t\implies$

$\implies M=15000(1+5\%)^2\implies$

$\implies M=15000(1+\frac{5}{100})^2\implies$

$\implies M=15000(\frac{105}{100})^2\implies$

$\implies M=15000(\frac{111025}{10000})\implies$

$\implies M=15(\frac{11025}{10})\implies$

$\implies M=\frac{165375}{10}\implies$

$\implies \underline{\boxed{M=16537,\!5}}\,.$