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A company promises to release a new smart phone model every month each model battery life will be 6% longer than the previous models is the current models battery life is 629.0 minutes what will the latest model battery life be five months from now exponential growth or decay problem.

1 Answer

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Final answer:

The latest model's battery life five months from now would be approximately 761.54 minutes.

Step-by-step explanation:

To find the battery life of the latest model five months from now, we can use exponential growth. Since each new model's battery life is 6% longer than the previous model, we can use the formula:

Latest Model Battery Life = Current Model Battery Life * (1 + Growth Rate)^n

Where the Current Model Battery Life is 629.0 minutes, the Growth Rate is 0.06, and n is the number of months (five in this case).

Plugging in the values into the formula, we get:

Latest Model Battery Life = 629.0 * (1 + 0.06)^5

Using a calculator, the latest model's battery life five months from now would be approximately 761.54 minutes.

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