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lbvjy [14]
3 years ago
5

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations

in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 3), (2, 6), (3, 12), (4, 24)

Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points)

Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points)

Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work. (4 points)
Mathematics
1 answer:
labwork [276]3 years ago
6 0

Step-by-step explanation:

A. this is a geometric sequence.

according to y-coordinates =>

3, 6, 12, 24

have a T1 = 3 and ratio = 6/3 = 2

B. the formula = Tn = r. T(n-1)

T5 = 2. T4

= 2. 24 = 48 minutes

C. the formula : Tn = T1 . r^(n-1)

T9 = 3. 2^(9-1)

= 3. 2^8

= 3. 256

= 768 munutes

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Revenue                                     $132,447        100%

Cost of Services (Expenses)         60,611        45.8%

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Operating Income                       $11,746         8.9%

b) A vertical analysis of the income statement for Verizon is as follows:

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Revenue                                     $127,079       100%

Cost of Services (Expenses)         49,931        39.3%

Selling & Marketing Expense        41,016       32.3%

Depreciation & other expenses   16,533       13.0%

Operating Income                      $19,599       15.4%

<h3>What is a vertical analysis?</h3>

A financial statement vertical analysis is a comparison of each line item on the financial statement as a percentage of the base figure.

For the income statement, the base figure is the revenue, which is set to 100%.  For the balance sheet, the base figure is the total assets or total liabilities and equity, which are set to 100%.

The vertical analysis uses the following formula = Financial statement line item divided by the total base figure X 100.

                                                      AT&T     Percent

Revenue                                     $132,447  100% ($132,447/$132,447 x 100)

Cost of Services (Expenses)         60,611  45.8% ($60,611/$132,447 x 100)

Selling & Marketing Expense      39,697  30.0% ($39,697/$132,447 x 100)

Depreciation & other expenses 20,393   15.4% ($20,393/$132,447 x 100)

Operating Income                       $11,746    8.9% ($11,746/$132,447 x 100)

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Revenue                                     $127,079  100% ($127,079/$127,079 x 100)

Cost of Services (Expenses)         49,931   39.3% ($49,931/$127,079 x 100)

Selling & Marketing Expense        41,016  32.3% ($41,016/$127,079 x 100)

Depreciation & other expenses   16,533  13.0% ($16,533/$127,079 x 100)

Operating Income                      $19,599  15.4% ($19,599/$127,079 x 100)

Learn more about the vertical analysis at brainly.com/question/14115729

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