total distance the ball has traveled before coming to rest? 3. An oil well produces 30, 000 barrels of oil on day one. Production is decreasing by 8% a day. a) How many full barrels of oil were produced on day 14? Sn d( l-rh) (1-r) S14- 30, 000 [i - co.92)J 30, 00 o YCI -0.92)13] b) How many full barrels of oil are produced in total up to and including day 17? Siu= l014 a(1- r") Sn = (1-г) 30000(1 – (0.92)17) S17 = (1– 0.92) 30000(0.7576778772) S17 = (0.08) S17 = 284129 Page 25 of 30

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WCLN PCMath 12 - Rev. 2019
total distance the ball has traveled before coming to rest?
3. An oil well produces 30, 000 barrels of oil on day one. Production is decreasing by 8% a day.
a) How many full barrels of oil were produced on day 14?
Sn d( | -rn)
(l-r)
S14 -
30, 000 [i - (o.92)J
Cl- Oi9 2)
30, 00 o xC1- 0.92)13]
b). How many full barrels of oil are produced in total up to and including day 17?
thiol -hiS
a(1– r")
S. =
(1-г)
30000(1 – (0.92)17)
S17 =
(1– 0.92)
30000 (0.7576778772)
S17 =
(0.08)
S17 = 284129
Page 25 of 30
Transcribed Image Text:WCLN PCMath 12 - Rev. 2019 total distance the ball has traveled before coming to rest? 3. An oil well produces 30, 000 barrels of oil on day one. Production is decreasing by 8% a day. a) How many full barrels of oil were produced on day 14? Sn d( | -rn) (l-r) S14 - 30, 000 [i - (o.92)J Cl- Oi9 2) 30, 00 o xC1- 0.92)13] b). How many full barrels of oil are produced in total up to and including day 17? thiol -hiS a(1– r") S. = (1-г) 30000(1 – (0.92)17) S17 = (1– 0.92) 30000 (0.7576778772) S17 = (0.08) S17 = 284129 Page 25 of 30
WCLN PCMath 12- Rev. 2019
9 How many full barrels of oil were produced in total before the well runs dry?
4. A helium balloon rises 70 m the first minute after it is released, each subsequent minute it rises
12% less than the previous minute. How high does the balloon rise in total?
Heights
ihe ballontotal
7om-8.4m
O 12
rise =
Ido
いいbm
1ゆ m
E 84
10
- 8um
100
In
I minute
S4m dow n
5. Determine the bounds on x, so that the following geometric series have a fínite sum.
a) 3+3(x+ 2) + 3(x + 2)² + ..
b) 5 + (2x – 3) +
(2х-3)2
ー1L e- 4
Page 26 of 30
Transcribed Image Text:WCLN PCMath 12- Rev. 2019 9 How many full barrels of oil were produced in total before the well runs dry? 4. A helium balloon rises 70 m the first minute after it is released, each subsequent minute it rises 12% less than the previous minute. How high does the balloon rise in total? Heights ihe ballontotal 7om-8.4m O 12 rise = Ido いいbm 1ゆ m E 84 10 - 8um 100 In I minute S4m dow n 5. Determine the bounds on x, so that the following geometric series have a fínite sum. a) 3+3(x+ 2) + 3(x + 2)² + .. b) 5 + (2x – 3) + (2х-3)2 ー1L e- 4 Page 26 of 30
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