Exponential Growth And Decay: Question Preview (ID: 22725)


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Olivia purchased a music system worth $18,000 in the year 2001. It loses its value by 6% per year. What is the value of the music system in 2003?
a) $15904.48
b) $14950.51
c) $16920
d) $20224.80

Matthew bought a laptop for $34,000 in the year 2008. Its value depreciates by 4% per year. What is the value of laptop in 2011?
a) $21,700.14
b) $32,640
c) $31,334.40
d) $30,081.024

In 1995, there were 85 rabbits in Central Park. The population increased by 12% each year. How many rabbits were in Central Park in 2005?
a) $210
b) $236
c) $264
d) $23.67

A private high school charges $57,000 for tuition, but this figure is expected to rise 10% per year. What will tuition be in 3 years?
a) $68,970
b) $75,867.00
c) $83,453.70
d) $41,553

Ryan bought a bike for $47,000 in the year 2002. Its value depreciates by 2% per year. What is the value of the bike in 2006?
a) $41,634.60
b) $43,351
c) $45,138.80
d) $50,835.20

Which of the following model is an exponential decay model?
a) y = 12(3.57)^t
b) y = 4(1.21)^t
c) y = 1 + 6t
d) y = 7 (0.98)^t

Max has $30 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much will he have in 2 years?
a) $24.30
b) $34.20
c) $36.30
d) $28.40

In 1985, there were 285 cell phone subscribers in the small town of Centerville. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994?
a) about 25,070
b) about 76,776
c) about 43,872
d) about 46,000

Daisy purchased a food processor for $23,000 in the year 2009. It loses its value by 7% per year. What is the price of the food processor in 2012?
a) $18,500.21
b) $28,176
c) $11,969.45
d) $20,150

Adam bought a fish aquarium worth $2,000 in the first week of the year. Its value depreciates by 3% per week. What will the value of fish aquarium after 5 weeks?
a) about $1,717.47
b) about $2,318.55
c) about 1,770.59
d) about $1,659

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