there are two attachments need answer to 29 ALGEBRA 2 Alternate Exam 4 continued

Question

there are two attachments need answer to 29

ALGEBRA 2 Alternate Exam 4 continued On June Ist, Hannah shoots a video and uploads it to the Internet. She shares the video with her friends and encourages them to share it with others. By the end of June 2nd, her video has been viewed 37 times. Over each of the next 9 days, the total number of views increases by 35%. 27. How many views is the video projected to have by the end of June 11th? 28. However, on the night of June 10th, a few bloggers link to Hannah's video. These links lead to 855 more views than expected on the lith. After June 11th, the number of views increases by 55% each day. At this rate, on what day is the video anticipated to have 100,000 views? Tote Mum

Explanation / Answer

27.

it is a geometric series

a1 = June 2nd viewers = 37

a2 = June 3rd viewers = 37*1.351 (as 35% increased each day)

a3 = June 4th viewers = 37*1.352

this is a geometric series

an = June n+1 day viewers = 37*1.35n-1

so on 11th June no. of viewers would be = 37*1.3510 = 743.94 = 744 viewes

28.

On 11th June no. of viewers got = 744 + 855 = 1599 viewers

10,000 = 1599 (1+55%)k

10,000 = 1599 (1.55)k

10,000/1599 = (1.55)k

10,000/1599 = (1.55)k

taking log both side

0.796152 = k * 0.190332

k - 4.183 dats

so on 5th day after 11th June which measn on 16th June

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