A balloon takes 1 minute to rise 60 feet in the air. each minute after that, the balloon rises 40% as far as it did the previous minute. which equation represents the total distance, d, in feet that the balloon rises in 6 minutes?

Answers

Answer 1

The equation represents the total distance, d, in feet that the balloon rises in 6 minutes [tex]d=\frac{60(1-0.4^6)}{1-0.4}[/tex].

Given that a balloon takes 1 min to rise 60 feet in the air each min after that it rises 40% as far as the previous minute

So it second minute it rises 40% x 60 feet (60 x 0.4)= 24 feet in 3rd minute it rises 40% x 24 feet = (24x0.4) = (60x0.42) feet

So in n-th minute it rises (60 x [tex]0.4^{n-1}[/tex]) feet

So total height d in n- minutes will be

d = 60 + (60 × 0.4) + (60 × 0.4²) + ... + (60 x 0.4"-1)

= 60[1 + 0.4 + 0.4² + ... + 0.4" 1]

[tex]=60 \times \frac{1-0.4^n}{1-0.4}[/tex]

here n=6

So it will rise to

[tex]d=\frac{60(1-0.4^6)}{1-0.4}[/tex]

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Answer 2

Answer:

Explanation:

Related Questions

imagine that you are interested in applying for a job as an account representative at national software inc. you plan to submit an application, a résumé, and a cover lefter. list three topics you want to address in the cover letter. then write the first two sentences of the cover letter.

Answers

The three topics that should mention in your cover letter are qualification, experience, and achievements.

In a cover letter for a job application, you can introduce yourself personally and argue why hiring you would be wise. Include specific examples from your prior experience that show you are qualified for the position in your cover letter, which should be three paragraphs or less long.

Three topics of cover letter:

Qualification ExperienceAchievements

Two sentences of the cover letter:

In reply to your advertisement for the post of an account representative at national software inc, please consider my application for the same. I found that my skills and qualifications is according to your requirements. I have eight years’ experience in this field and I believe I will add value is this job.

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