a company promises to release model every month. each model's battery life will be 6% longer than the previous model's. if the c

Question

2 years ago

11

urrent model's battery is 671.0 minutes, in how many months will the latest model's battery life reach 1,008.9 minutes?

1 answer:

Ratling [72] · Answer 1 · 2023-06-21T01:34:02+03:00

The number of months that it will take the latest model's battery life to reach 1,008.9 minutes is; 8 months

<h3>How to solve geometric progression?</h3>

Each month, there is an increase by a factor of 0.06 of the previous months model.

From geometric sequence formula of aₙ = ar^(n - 1),

where;

a is first term

r is common ratio

aₙ is nth term

we have;

1,008.9 = 671 * 1.06^(n - 1)

1008.9/671 = 1.06^(n - 1)

In 1.504 = (n - 1) In 1.06

0.408 = (n - 1) * 0.058

n - 1 = 0.408/0.058

n = 7.03 + 1

n ≈ 8 months

Read more about geometric sequence at; brainly.com/question/24643676

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