Question

1) Localize os pares ordenados no plano cartesiano.

a) (3, -2)

b) (- 1, 4)

c) (2, 6)

d) (5, - 1)

e) (4, 3)

2) Calcule os juros produzidos por um capital de R$ 3.000,00, aplicado a uma taxa de 2% ao mês durante seis meses.

3) Calcule a taxa de juros aplicada a um capital de R$ 2.000,00 que rendeu R$ 300,00 de juros, sendo aplicado durante 10 meses.

Answer 1

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$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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☺lá, Camila, como tens passado nestes tempos de quarentena⁉ E os estudos à distância, como vão⁉ Espero que bem❗ Acompanhe a resolução abaixo. ✌

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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\setlength{\unitlength}{0.95cm}\begin{picture}(6,5)\thicklines\put(0,0){\vector(1,0){5}}\put(0,0){\vector(0,1){5}}\put(0,0){\vector(-1,0){5}}\put(0,0){\vector(0,-1){5}}\put(4.8,0.2){x}\put(0.2,4.8){y}\put(-0.15,0.5){\_\_}\put(-0.15,1){\_\_}\put(-0.15,1.5){\_\_}\put(-0.15,2){\_\_}\put(-0.15,2.5){\_\_}\put(-0.15,3){\_\_}\put(-0.15,3.5){\_\_}\put(-0.15,4){\_\_}\put(-0.15,4.5){\_\_}\put(-0.15,-0.5){\_\_}\put(-0.15,-1){\_\_}\put(-0.15,-1.5){\_\_}\put(-0.15,-2){\_\_}\put(-0.15,-2.5){\_\_}\put(-0.15,-3){\_\_}\put(-0.15,-3.5){\_\_}\put(-0.15,-4){\_\_}\put(-0.15,-4.5){\_\_}\put(0.45,-0.08){ | }\put(0.95,-0.08){ | }\put(1.45,-0.08){ | }\put(1.95,-0.08){ | }\put(2.45,-0.08){ | }\put(2.95,-0.08){ | }\put(3.45,-0.08){ | }\put(3.95,-0.08){ | }\put(4.45,-0.08){ | }\put(-4.55,-0.08){ | }\put(-4.05,-0.08){ | }\put(-3.55,-0.08){ | }\put(-3.05,-0.08){ | }\put(-2.55,-0.08){ | }\put(-2.02,-0.08){ | }\put(-1.55,-0.08){ | }\put(-1.05,-0.08){ | }\put(-0.55,-0.08){ | }\put(1.50,-1.0){\circle*{0.13}}\put(1.75,-0.75){ \sf P_{A} }\put(-0.50,2.0){\circle*{0.13}}\put(-0.75,2.25){ \sf P_{B} }\put(1.0,3.0){\circle*{0.13}}\put(1.25,3.25){ \sf P_{C} }\put(2.50,0.50){\circle*{0.13}}\put(2.75,0.5){ \sf P_{D} }\put(2.0,1.50){\circle*{0.13}}\put(2.25,1.75){ \sf P_{E} }\end{picture}$

$\sf (Esta~imagem~n\tilde{a}o~\acute{e}~visualiz\acute{a}vel~pelo~App~Brainly$ ☹ )

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Ⓑ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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• ✋ Utilizaremos nos itens b) e c) a aplicação sobre o regime de juros simples.

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☔ A equação para calcularmos o rendimento de uma aplicação sob o regime de juros simples é dada por

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$\LARGE\red{\boxed{\pink{\boxed{\begin{array}{rcl}&&\\&\orange{\rm j = C \times i \times t }&\\&&\\\end{array}}}}}$

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$\text{\pink{ \Longrightarrow }~\Large\sf\orange{j}}$ sendo o rendimento no final do período aplicado;

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{C}}$ sendo o capital inicial investido;

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{i}}$ sendo a taxa de juros pelo período n;

$\text{\pink{ \Longrightarrow }~\Large\sf\orange{t}}$ sendo a quantidade de períodos n analisada;

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☔ Portanto com os termos do enunciado temos que

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➡ $\large\blue{\sf j = 3.000 \times 0,02 \times 6 }$

$\large\blue{\sf = 3.000 \times 0,12 }$

$\large\blue{\sf = 360 }$

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$\Huge\green{\boxed{\rm~~~\red{ B)}~\gray{j}~\pink{=}~\blue{R\ ~360,00 }~~~}}$ ✅

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Ⓒ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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➡ $\large\blue{\sf 300 = 2.000 \times i \times 10 }$

➡ $\large\blue{\sf i = \dfrac{300}{20.000} }$

➡ $\large\blue{\sf i = \dfrac{0,15}{100} }$

➡ $\large\blue{\sf i = 0,15\% }$

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$\Huge\green{\boxed{\rm~~~\red{ C)}~\gray{i}~\pink{=}~\blue{ 0,15\% }~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\Large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$

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