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2) A company promises to release a new

smartphone model every month. Each
model's battery life will be 5% longer than
the previous model's. If the current
model's battery life is 650.0 minutes, what
will the latest model's battery life be 8
months from now?

User Ldavid
by
8.6k points

1 Answer

1 vote

Answer:

Let's denote the current model's battery life by B0, which is 650.0 minutes. We know that each new model's battery life will be 5% longer than the previous model's battery life. So, the battery life of the n-th model (counting from the current model as n=0) can be calculated as:

Bn = B0 * (1.05)^n

After 8 months, the company will release the 8th model (n=8), so we can plug in n=8 into the equation above to find its battery life:

B8 = B0 * (1.05)^8

B8 = 650.0 * (1.05)^8

B8 ≈ 918.0 minutes

Therefore, the latest model's battery life 8 months from now will be approximately 918.0 minutes.

User Hemant Soni
by
9.2k points