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lara31 [8.8K]
3 years ago
7

Tina sends 12 text messages each day in June. A mobile phone company offers two packages. Package A: The first 100 texts each mo

nth cost 3 paisa each, the second 100 texts cost 2p each and after this the cost of each text is 1paisa. Package B: All texts cost 2paisa. Which package offers her the better value for money in 30 days? Justify your answer.
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Two options are given to Tina. We find how much she pays for each option, and the one in which she pays less offers the better value.

Tina sends 12 text messages each day in June

June has 30 days, so in June, Tina sent 12*30 = 360 text messages.

Package A:

First 100 messages cost 3p, the next 100 cost $2 and after that each costs $1.

She sends 360 messages, with:

The first 100 costing 3p.

The next 100 costing 2p.

The final 360 - 200 = 160 costing 1p.

She pays:

100*3 + 100*2 + 160*1 = 660

Package B:

2p for each message, 360 messages, so:

360*2p = 720p.

Which package is better?

Package A costs less, thus, it offers her the better value for money in 30 days.

Another example of a problem in which a person has to choose between two packages is given in brainly.com/question/10693932

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The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

Learn more about increasing functions here: brainly.com/question/12940982

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2 years ago
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I believe it’s translation
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3 years ago
Which of the following choices is closest to the distance (in miles) between points A and B? (5 points)
pshichka [43]

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i think it's B 3.46

Step-by-step explanation:

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In a jar of coins, 18 out of the 40 coins are dimes. Express the fraction of the coins
Step2247 [10]

Answer:

Percent: 20%

Fraction: 1/5

Decimal: 0.20

Step-by-step explanation:

8:40*100 =

( 8*100):40 =

800:40 = 20%

Percent to fraction:

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= 0.2

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8 0
3 years ago
I have 8 questions witch means 80 points answer correctly!
kolezko [41]
<h3>Answer : </h3>

\Large \pink{\tt \dfrac{35}{36}}

<h3>Solution :</h3>

\tt \dfrac{3}{4} + \dfrac{2}{9}

By taking LCM = 4 × 9 = 36

\tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}

\tt = \dfrac{27}{36} + \dfrac{8}{36}

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\tt = \dfrac{35}{36}

\pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}

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3 years ago
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