
Concept explainers
(a)
Find the payments be at the end of the 10th, 20th and 40th weeks.
(a)

Answer to Problem 63PPS
$11.79; $30.58; $205.72
Explanation of Solution
Given:
High Tech Electronics advertises a weekly installment plan for the purchase of a popular brand of high definition television. The buyer pays $5 at the end of first week, $5.50 at the end of 2nd week, $6.05 at the end of third week, and so on one year.(Assume 1 yr = 52 wk).
What will be the payments be at the end of the 10th, 20th and 40th weeks?
Concept Used:
Given: a1=5; r = 5.505=1.1
Calculation:
a1=5; r=1.1, n=10; find a10; a20; a40an= a1 · rn−1 [ nth term formula ]a10= 5 · (1.1)10−1=11.79a20= 5 · (1.1)20−1=30.58a40= 5 · (1.1)40−1=205.75
Thus, a10= $11.79; a20= $30.58; a40= $205.75
(b)
Find the total cost of the TV.
(b)

Answer to Problem 63PPS
$7052.15
Explanation of Solution
Given:
High Tech Electronics advertises a weekly installment plan for the purchase of a popular brand of high definition television. The buyer pays $5 at the end of first week, $5.50 at the end of 2nd week, $6.05 at the end of third week, and so on one year.(Assume 1 yr = 52 wk).
Find the total cost of the TV.
Concept Used:
Given: a1=5; r = 5.505=1.1
Calculation:
a1=5; r=1.1, n=52 (1 year = 52 weeks ); find S52Sn= a1(1−rn)1−rS52= 5(1−(1.1)52)1−1.1=7052.15
Thus, total cost of the TV is in 1 year $7052.15
(c)
Find why the cost is found in part b not entirely accurate.
(c)

Explanation of Solution
Given:
High Tech Electronics advertises a weekly installment plan for the purchase of a popular brand of high definition television. The buyer pays $5 at the end of first week, $5.50 at the end of 2nd week, $6.05 at the end of third week, and so on one year.(Assume 1 yr = 52 wk).
Why the cost is found in part b not entirely accurate.
Concept Used:
Each payment made is rounded to the nearest penny, so the sum of the payments will actually be more than the sum found in part b.
Thus,
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
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