Text Messages Increase
1. Stating the problem: Half of the "Other" responses from satisfied customers were text messages. We need to find how many text messages were sent by satisfied customers.
2. From the given data, the "Other" category for satisfied customers is 29% of their total responses.
3. Total satisfied customer responses: 34,200.
4. Calculate number of "Other" responses from satisfied customers:
$$34200 \times 0.29 = 9918$$
5. Half of these "Other" responses were text messages, so:
$$\frac{9918}{2} = 4959$$
6. None of the given options match 4959. Let's re-check if "Other" means 29% or if it’s something else.
7. Categories: E-mail (9%), Letter (16%), Other (29%), Telephone (46%). Yes, "Other" is 29%.
8. Re-examining given options, they are much smaller. Possibly the question only wants text messages from satisfied customers' "Other" responses.
9. Since calculated text messages (4959) do not match options, check if data is for half of 29% of satisfied customers only.
10. Confirm 29% of 34,200 is 9918. Half is 4959.
11. It appears the provided answers may be mistaken or misread; selecting the closest option 1,486 is not correct.
12. Therefore, the number of text messages is 4959.
Final Answer: 4959 text messages.
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Question 5:
1. Stating the problem: Retail Sales this year and next year’s increase estimation.
2. Total revenue this year: 75,000.
3. Retail Sales this year = 25% of total revenue this year:
$$75000 \times 0.25 = 18750$$
4. Next year total revenue increases by 15%:
$$75000 \times 1.15 = 86250$$
5. Next year, Retail Sales will be 40% of total revenue:
$$86250 \times 0.40 = 34500$$
6. Increase in Retail Sales:
$$34500 - 18750 = 15750$$
Final Answer: Retail Sales will increase by 15750.