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3 years ago

The price of an article is increased from Rs 75 to Rs 78. Find the percentage increase in the price of the article.

Mathematics

1 answer:

andreev551 [17]3 years ago

4 0

( 78 -75 / 75 ) × 100 =

(3/75 )× 100 =

( 3 / 3 × 25 ) × 100 =

(1/25) × 100 =

100/25 =

% 4

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Answer:

133.33

Step-by-step explanation:

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2 years ago

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Sebastian swam laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In th

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Answer:

$\text{Average rate}=\frac{\text{40 laps}}{\text{ hour}}$

Step-by-step explanation:

Please consider the complete question.

Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?

Let us convert time taken into hours as:

$\text{Days}=5\times 12=60$

$\text{Minutes}=60\times 45$

1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.

$\text{Hours}=\frac{60\times 45}{60}=45$

Now, we will divide 1800 by 45 to find average rate in laps per hour as:

$\text{Average rate}=\frac{\text{1800 laps}}{\text{45 hours}}$

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Therefore, Sebastian's average rate is 40 laps per hour.

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2 years ago

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

goldfiish [28.3K]

Answer:

P(t) = 100·2.3^t
529 after 2 hours
441 per hour, rate of growth at 2 hours
5.5 hours to reach 10,000

Step-by-step explanation:

It often works well to write an exponential expression as ...

value = (initial value)×(growth factor)^(t/(growth period))

(a) Here, the growth factor for the bacteria is given as 230/100 = 2.3 in a period of 1 hour. The initial number is 100, so we can write the pupulation function as ...

P(t) = 100·2.3^t

(b) P(2) = 100·2.3^2 = 529 . . . number after 2 hours

(c) P'(t) = ln(2.3)P(t) ≈ 83.2909·2.3^t

P'(2) = 83.2909·2.3^2 ≈ 441 . . . bacteria per hour

(d) We want to find t such that ...

P(t) = 10000

100·2.3^t = 10000 . . . substitute for P(t)

2.3^t = 100 . . . . . . . . divide by 100

t·log(2.3) = log(100)

t = 2/log(2.3) ≈ 5.5 . . . hours until the population reaches 10,000

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3 years ago

the width of a rectangle is 7 meters greater than its length.If the area of the rectangle is 170 square meters, write the quadra

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Answer:

$x^2+7x-170 = 0$

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.

We also know the area is 170. Substitute this value for A and solve.

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3 years ago

The population of a city, P, in millions, is a function of t, the number of years since 2010, so P=f(t). What does the statement

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Answer:

$f(5) = 10$

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Step-by-step explanation:

We are given the following information in the question:

The population of a city, P, in millions, is a function of t.

$P= f(t)$

where P is the population of city in millions and t is the number of years after 2010.

We have to interpret the meaning o the statement f(5) = 10.

$f(5) = 10$

Interpretation:

Comparing the relation we get,

It means that the population of city is 10 millions in year 2015 that is 5 years after 2010.

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3 years ago