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yKpoI14uk [10]
3 years ago
15

The Distance Between London And Cardiff Is 150 Miles. What is The Distanec In Kilometeres

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
5 0

Answer:

241.402

Step-by-step explanation:

Olegator [25]3 years ago
4 0

Answer:

241.402

Step-by-step explanation:

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Answer:

From <u>fourth</u> month onwards, the growth rate of f(x) is greater than that of g(x).

Step-by-step explanation:

Given:

The growth rates of both bank accounts are given as:

f(x)=3^x\\g(x)=5x+25

Now, as per question, we need to find the value of 'x' when the value of f(x)>g(x). Or,

3^x>5x+25

Now, we can do this by checking the values of 'x' by hit and trial method.

Let x=1. The inequality becomes:

3^1>5(1)+25\\3>30(False)

Let x=2. The inequality becomes:

3^2>5(2)+25\\9>35(False)

Let x=3. The inequality becomes:

3^3>5(3)+25\\27>40(False)

Let x=4. The inequality becomes:

3^4>5(4)+25\\81>45(True)

Therefore, the value of 'x' for which f(x)>g(x) is 4.

So, from the fourth month onwards, the balance in f(x) becomes greater than g(x).

The graphical solution is shown below to support the same.

From the graph, we can conclude that after the 'x' value equals 3.4, the graph of f(x) lies above of g(x). Hence, f(x)>g(x) for x>3.4

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