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Zinaida
6 days ago
12

Luis has saved $6. he doubles the amount he saves each week.does this represent an exponential function?complete:

Mathematics
1 answer:
lawyer [4K]6 days ago
8 0

Response:

This 6(2)^{n-1} is indicative of an exponential function, as his savings grow by a consistent factor of 2.

Detailed breakdown:

It is stated that

Luis initially saves $6 and doubles this amount every week.

This means that the savings for the following week would be 6×2 = 12.

Consequently, the savings for the third week would be 12×2 = 24.

The resulting sequence is 6, 12, 24, 48,.....

This can be expressed as 6×2⁰, 6×2¹, 6×2², 6×2³,.....

Thus, the exponential sequence is represented as 6(2)^{n-1}, where 'n' signifies a natural number.

Furthermore, the numbers 6, 12, 24, 48,..... reflect an increase by a factor of \frac{12}{6}=\frac{24}{12}=....=2.

Thus, we conclude that

This 6(2)^{n-1} represents an exponential function, because his savings increase by a consistent factor of 2.

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A formula calls for 0.6 mL of a coloring solution. Using a 10-mL graduate calibrated from 2 to 10 mL in 1-mL units, how could yo
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We will mix 2.4 mL of water with 0.6 mL of the coloring solution.

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We should prepare 3 mL of the coloring solution with the resultant water.

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Step-by-step explanation:

As stated:

The formula requires 0.6 mL of a coloring solution.

Using a 10-mL graduated cylinder that is divided from 2 to 10 mL in 1-mL increments:

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Given that the graduated cylinder measures from 2mL to 10mL only, we'll blend 2.4 mL of water with 0.6 mL of coloring solution.

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Consequently,

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9 days ago
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3 days ago
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First, calculate the total investment by summing both contributions.

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Next, find what percentage $160,000 is of the total $400,000.

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