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Varvara68 [4.7K]
3 years ago
14

Nos últimos anos, as queimadas no Pantanal vêm aumentando significativamente por diversos motivos, dos quais os mais comum são a

s causas humanas, que podem ser acidentais ou criminosas. Segundo o Instituto Nacional de Pesquisas Espaciais (Inpe), no período de janeiro a setembro de 2019, foram registrados 4660 focos de incêndio, em 2020, foram registrados 14.489 focos. Qual o percentual de aumento dos focos de incêndio em 2020 comparado aos focos registrados em 2019?
Mathematics
1 answer:
vodomira [7]3 years ago
6 0

Answer:

211%

Step-by-step explanation:

Somos informados:

Segundo o Instituto Nacional de Pesquisas Espaciais (Inpe), de janeiro a setembro de 2019, foram registrados 4.660 focos de incêndio, em 2020 foram registrados 14.489 focos. Qual é a porcentagem de aumento de focos de incêndio em 2020 em comparação com os focos registrados em 2019?

A fórmula de aumento percentual é fornecida como

Aumentar / tamanho inicial × 100

Aumento = 14489 focos de incêndio - 4660 focos de incêndio

= 9829 focos de incêndio

Aumento percentual = 9829/4660 × 100

= 210.92274678 %

≈ 211%

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Suppose f(x)=x^2. what is the graph of g(x)=f(3x)?<br>​
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Answer:

D

Step-by-step explanation:

because since there is no negative sign in front of the 3x we automatially know there is no reflection so that rules out answers A and B. Then, since 3 is greater than 1 we can determine that it is a stretch which would rule out answer C so the answer is D

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3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
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Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

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Answer:

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