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denis23 [38]
3 years ago
8

Suppose you add 10% of a number to the number, and then you subtract 10% of the total. Is the result greater than, less then, or

equal to the original number?
Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0
Let's say the number is 9. 10% of 9 is 0.9. Add that to 9 and you would get 9.9. 10% of 9.9 is 0.99. Subtract and you would get 8.91. Then you could do the rest.
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Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.
inna [77]

Answer:

The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

y = A\cdot e^{B\cdot x} (1)

Where:

x - Independent variable.

y - Dependent variable.

A, B - Coefficients.

If we know that (x_{1}, y_{1}) = (7,12) and (x_{2}, y_{2}) = (8,25), then we get the following system of equations:

A\cdot e^{7\cdot B} = 12 (2)

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If we divide (3) by (2), we calculate the value of B:

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B = \ln \frac{25}{12}

B \approx 0.734

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The exponential model is y = 0.07\cdot e^{0.73\cdot x}.

4 0
3 years ago
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