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SVETLANKA909090 [29]
1 year ago
8

The population of a country was increased in the past 4 years. The annual presentage increases are 20%,25%,30%,10% respectively.

What the overall percentage increase in these 4years?
Mathematics
1 answer:
Vladimir79 [104]1 year ago
7 0

The answer is 114.5%.

Let the original population be denoted by x.

Now, let's go through the percentage increase per year.

<u>Year 1</u>

  • x (1 + 20%)
  • x (1.2)
  • 1.2x

<u>Year 2</u>

  • 1.2x (1 + 25%)
  • 1.2x (1.25)
  • 1.5x

<u>Year 3</u>

  • 1.5x (1 + 30%)
  • 1.5x (1.3)
  • 1.95x

<u>Year 4</u>

  • 1.95x (1 + 10%)
  • 1.95x (1.1)
  • 2.145x

Overall increase : 214.5% - 100% = 114.5%

Hence, the overall percentage increase in these 4 years is 114.5%.

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Each side is 5 cm

Step-by-step explanation:

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c = the side length of the rhombus.

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2 years ago
A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class. What
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Hi!

Add the student together to get the number of students

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4 0
3 years ago
The recipe for Perfect Purple Water says, "Mix 8 ml of blue water with 3 ml of red water." Jada mixes 24 ml of blue water with 9
cluponka [151]

Answer:Jada will get same shade as Perfect Purple Water

Step-by-step explanation:

STEP 1

To get the right  recipe for Perfect purple water, every new mixture must have an equivalent ratio as the ideal mixture

The ideal mixture is given as

8ml  blue water and 3 ml red water.

Step 2

Andre mixes 16ml blue water with 9ml red water

\frac{8ml}{3ml} is not equivalent to \frac{16ml}{9ml}

Because dividing Andre's mixture  by a common value  will  not give  the equivalent ratio of the ideal recipe

\frac{16ml}{9ml}  \frac{/}{/}  \frac{3}{3} =\frac{5.3ml}{3ml}  

Jada mixes 24ml blue water with 9ml red water

\frac{8ml}{3ml} is equivalent to \frac{24ml}{9ml}

Because dividing Jada's mixture  by a common value  gives the equivalent ratio of the ideal recipe

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This shows that Jada got the right recipe and will get  same shade as Perfect Purple Water but in a higher quantity, 3 times the right recipe for  Perfect Purple Water

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