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vladimir2022 [97]
3 years ago
9

O preço do diesel sofreu três alterações ao longo do último trimestre de 2017. A primeira alteração foi em outubro, cujo aumento

foi de 10% no preço inicial do produto. Em novembro, houve um novo aumento, agora de 20%. Em dezembro, em função das datas festivas, 12% de aumento sobre o preço final de novembro. A variação do preço da diesel acumulada no último trimestre do ano em relação ao seu preço inicial foi de:
Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer:

47.84%

Step-by-step explanation:

The easiest method to solve this exercise is to assume that the starting diesel price is 100 reais.

Now we will calculate each increase with our assumption:

1. Initial price plus 10% increase, therefore:

100 + 100 * 0.1 = 110 reais

2. Additional 20% increase in relation to 110 reais:

110 + 110 * 0.2 = 132 reais

3. Additional 12% increase in relation to 132 reais:

132 + 132 * 0.12 = 147.84 reais.

What it means is that the price would be 147.84 reais.

Since our assumption is 100, we can know that there was an increase of almost 47.84% in relation to the initial price that we assumed at the beginning.

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A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.
Natasha2012 [34]

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

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Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

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2 years ago
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2

Step-by-step explanation:

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