(9x2 + 10x + 4) − (9x2 + 5x − 1)
1 answer:
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The 4 subintervals are given: [2, 4], [4, 7], [7, 9], and [9, 10].
Each subinterval has length: 4 - 2 = 2, 7 - 4 = 3, 9 - 7 = 2, and 10 - 9 = 1.
Over each subinterval, we take the value of the function at the right endpoint: 3, 8, 15, and 18.
Then the integral is approximately
so 78.0 is the correct answer.
The scenario as a sequence recursively and explicitly is
= 9,000 ;
= 0.86 •
Step-by-step explanation:
The recursive formula for the nth term of a geometric sequence is
= first term ;
= r •
, where
is the first term in the sequence
- r is the common ratio between the consecutive terms
The explicit formula for the nth term of a geometric sequence is
, where
- a is the first term
- r is the common ratio between the consecutive terms
∵ A scooter (small motorcycle) is bought at a price of $9,000
∵ It loses 14% of its value very year
- That means the new price of it will be 100% - 14% of the
previous year
∵ 100% - 14% = 86%
∵ 86% = 86 ÷ 100 = 0.86
∴ Each year the price will be 0.86 of the price of the previous year
∴ The common ratio r = 0.86
∵ The initial price of the scooter is $9,000
∴ = 9,000
∵ r = 0.86
- Substitute them in the the recursive formula
∴ = 9,000 ;
= 0.86 •
∵ a = 9,000
∵ r = 0.86
- Substitute them in the the explicit formula
∴
The scenario as a sequence recursively and explicitly is
= 9,000 ;
= 0.86 •
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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