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nika2105 [10]
2 years ago
11

How many units of a 10% solution are needed to prepare 500 units of a 2% solution?

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0
First find how many units of solution there is:

500* 2% = 500(.02) = 10 units

You need 10 units of solution in 'x' units of a 10% solution.

x*10% = 0.1x = 10 units   ----->  x = 10/0.1 = 100

100 units are needed
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A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential
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The initial population is
P₀ = 94 million in 1993

The growth formula is
P(t) = P_{0}e^{kt}
where P(t) is the population (in millions) after t years, measured from 1993.
k = constant.

Because P(5) = 99 million (in 1999), 
94e^{5k} = 99 \\e^{5k}=1.0532 \\ 5k = ln(1.0532) \\ k = 0.010367

In the year 2005, t = 12 years, and
P(12)=94e^{0.010367*12} = 106.45

Answer: 106 million (nearest million)

7 0
2 years ago
man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel ____ miles in 9 hou
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Answer:

567

Step-by-step explanation:

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4 0
2 years ago
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must
Roman55 [17]

Answer:

The largest possible area of the deck is 87.11 m² with dimensions;

Width = 9.33 m

Breadth = 9.33 m

Step-by-step explanation:

The area of a given dimension increases as the dimension covers more equidistant dimension from the center, which gives the quadrilateral with largest dimension being that of a square

Given that the railings will be placed on three sides only and the third side will cornered or left open, such that the given length of railing can be shared into three rather than four to increase the area

The length of the given railing = 28 m

The sides of the formed square area by sharing the railing into three while the fourth side is left open are then equal to 28/3 each

The area of a square of side s = s²

The largest possible area of the deck = (28/3)² = 784/9 = 87.11 m² with dimensions;

Width = 28/3 m = 9.33 m

Breadth = 28/3 m = 9.33 m.

5 0
2 years ago
Harry owns a factory that makes plastic toys. Each toy is tested. If the toy is perfect, it is put into a box. The boxes are the
vlada-n [284]

Answer:

approximately 14 each hour

Step-by-step explanation:

500/100 = 5 = 1% of 500

2% of 500 = 10

500 - 10 = 490

490/36 = 13.6 or about 14

multiply 14 by the number of hours each day and you'll get the final answer

5 0
2 years ago
A quantity with an initial value of 8600 grows exponentially at a rate of 20% every 2 minutes. What is the value of the quantity
Hatshy [7]

Answer:

23400 x 8/100 = 1872 = the loss  

1872 : 12 = 156= the loss each month  

156/1872*100% = 8.33 % then round it

3 0
2 years ago
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