QUESTION THREE In the first month after opening, a mobile phone shop sold 280 phones. A model for Future trading assumes that sales will increase by x phones per month for the next 35 months, so that (280 +x) phones will be sold in the second month, (280 + 2x) in the third month, and so on. a. Using this model with x 5, calculate i. the number of phones sold in the 36th month, ii. the total number of phones sold over the 36 months. The shop sets a sales target of 17 000 phones to be sold over the 36 months. Using the sa model, b. find the least value of x required to achieve this target. The fifth term of an arithmetic progression is 28 and the tenth term is 58. c. Find the first term and the common difference The sum of all the terms in this progression is 444.
QUESTION THREE In the first month after opening, a mobile phone shop sold 280 phones. A model for Future trading assumes that sales will increase by x phones per month for the next 35 months, so that (280 +x) phones will be sold in the second month, (280 + 2x) in the third month, and so on. a. Using this model with x 5, calculate i. the number of phones sold in the 36th month, ii. the total number of phones sold over the 36 months. The shop sets a sales target of 17 000 phones to be sold over the 36 months. Using the sa model, b. find the least value of x required to achieve this target. The fifth term of an arithmetic progression is 28 and the tenth term is 58. c. Find the first term and the common difference The sum of all the terms in this progression is 444.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:QUESTION THREE
In the first month after opening, a mobile phone shop sold 280 phones. A model for
Future trading assumes that sales will increase by x phones per month for the next 35
months, so that (280 +x) phones will be sold in the second month, (280 + 2x) in the
third month, and
so on.
a. Using this model with x 5, calculate
i. the number of phones sold in the 36th month,
ii. the total number of phones sold over the 36 months.
The shop sets a sales target of 17 000 phones to be sold over the 36 months. Using the sɛ
model,
b. find the least value of x required to achieve this target.
The fifth term of an arithmetic progression is 28 and the tenth term is 58.
c. Find the first term and the common difference
The sum of all the terms in this progression is 444.
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