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Natural Growth Models

Total questions: 25

Worksheet time: 6hrs 15mins

Name
Class
Date
1.

8% of 140

a)

11.2

b)

17.5

c)

1120

d)

112

2.

9.5% of 500

a)

47.5

b)

475

c)

52.6

d)

526.3

3.

If 600$ is invested in an account paying 10% interest, compounded annually.

What would be its value after 3 years?

a)

180

b)

437.4

c)

798.6

d)

1980

4.

B.O.B. have a account with 10,000$ in it. How long would he have to wait until he gets 547168.8751$ in his account assuming he has an annual compounding rate of 56%.

a)

10 years

b)

9 Years

c)

8.7 years

d)

7 years

5.

Determine the amount in an investment account after t years given a principal of 25000 and an annual compounding at the rate of 6%. Find amount after 8 year.

a)

1953.12

b)

2948.11

c)

1073741.82

d)

39846.21

6.

David invested 100$ into his account that has an annual compounding at the rate of 15%. How many years will he have to wait until he makes 813.7$?

a)

16 years

b)

15 years

c)

13.7 years

d)

14 years

7.

Suppose Candy Land population starting at 1.5 million is 2000 had continued indefinitely to grow at a constant 11% annual rate. Predict the Candy Land population in 2020.

a)

12 Million

b)

13 Million

c)

11.5 Million

d)

12.1 Million

8.

Bass Pro Shop have a clearance sale going on right now where they reduce the price of their stock by 12% each week. A fishing rod initially cost 300 dollars. What would its price be after 10 weeks?

a)

157.46$

b)

1.857520927E-7

c)

83.56$

d)

.06$

9.

The population of the ants colony is 13084 ants. Everymonth the population goes down by 5%. How many of them will be left after 1 year? Round to the nearest number.

a)

4390

b)

7070

c)

8123

d)

6542

10.

The price of crypto currency is decreasing by .5% each day. If Steve had 100 dollar worth of currency, how much would he have left after 15 days? Round to the nearest cent.

a)

86.56$

b)

46.33$

c)

96.76$

d)

92.76$

11.

An apple cost 2$, if the price is increased by 96% what is the new price?

a)

3.92$

b)

4$

c)

3.89$

d)

4.1$

12.

The amount of caffeine in the bloodstream decreases at an hourly rate of approximately 11.5. A can of Red Bull energy drink contains about the same amount of caffeine as a cup of regular coffee, 100 mg. If you drink Red Bull how much caffeine will remain in your bloodstream after 2 hours?

a)

78mg

b)

83mg

c)

73mg

d)

79mg

13.

Population of rabbits initially has 8 rabbits and doubles every year. How many rabbits will there be in 5 years?

a)

185

b)

432

c)

256

d)

123

14.

Which of the following model is an exponential decay model?

a)

y = 12(3.57)^t

b)

y = 7(.98)^t

c)

y = 4(1.21)^t

d)

y = 1 + 6t

15.

Which of the following model is an exponential decay model?

a)

y = 34(.85)^t

b)

y = 47(1.85)^t

c)

y = 3t^2

d)

y = 1 +14t

16.

Daisy purchased a food processor for 23,000 in year 2009. It loses its value by 7% per year. What is the price of the food processor in 2012?

a)

17909.82$

b)

18500.21$

c)

7.89$

d)

7889$

17.

in 1985, there were 285 cell phone subscribers in the small town of Centenrille. The number of subscribers in creased by 75% per year after 1985. How many cell phone subscribers were in Centerville in 1994?

a)

21

b)

25069

c)

43872

d)

46397

18.

Find a bank account balance if the account starts with 100$, has an annual rate of 4%, and the money left in the account for 12 years.

a)

252.67$

b)

5669.39$

c)

157.21$

d)

160.10$

19.

You buy a car for 8000$ that depreciates at a rate of 11% a year. How much is the care worth after 5 years.

a)

4467.25$

b)

4423.56

c)

1288.40$

d)

4221.86$

20.

You start an account with 2500$ and an interest rate of 6.5% compounded yearly. How much is in the account after 7 years?

a)

83239.15$

b)

3884.97$

c)

3859.50$

d)

54312.15$

21.

A newly hatched channel catfish typically weighs about .06 gram. During the first 6 weeks of life, its weight increases by about 10% each day. How much does the catfish weigh after 6 week>

a)

.0911

b)

32.85

c)

3.28

d)

1.05

22.

The old price of 900$ was decreased by 20% followed by a 15% increase the following week.

a)

843

b)

859$

c)

901$

d)

828$

23.

The price of doge coin was 300$ but then the price dropped by 50% one week then followed by a 30% increase.

a)

195$

b)

203$

c)

315$

d)

235$

24.

Your start an account with 500$ and an interest rate of 6% compounded yearly. How much is in the account after 3 years?

a)

530$

b)

595.51$

c)

561.8$

d)

589.12$

25.

From 2000 - 2010 a city had a 2.5% annual decrease in population. If the city had 2,950,000 people in 200, determine the city's population in 2008.

a)

2,445,123

b)

2,409,842

c)

2,409,123

d)

3,214,453