Sequence & Series
Polynomial and Rational Function
Exponents & Logarithms
Application of Functions
Polar and Conics
100

Find the next three terms in the sequence below.

1, 3, 6, 10, 15,.......

21,28,36

100

Using a calculator, graph the following, and find the  Vertex, and Axis.

y=(x+1)2

Vertex:(-1,0)

Axis: x=-1

100

A substance decays 22% each day. After 7 days, there are 9 milligrams of the substance remaining. How many milligrams were there initially.

51.2 mg

100

Jason jumped off a cliff into the ocean. His height as a function of time could be modeled by the function  h(t)=-16t2+16t+480, where t is the time in seconds and h is the height in feet. How long will it take for Jason to reach his maximum height? 

0.5 seconds 

100

r=1/1-cosθ

Classify the conic section of the polar equation.  

Parabola

200

Find the next three terms in the sequence below.

-4, -8, -16, -32, -64, ....

-128, -256, -512

200

Using a calculator, graph the following, and find the  Vertex, and Axis.

y=-(x+1)2

Vertex: (-1,0)

Axis: x=-1

200

Sam opened a bank account with an interest rate of 4.8% that is compounded anually. He invested $3,890 in the account in 1999. He made a withdraw in 2007 of $2,300 with no penalty. How much money will be in his account in 2016?

$5,124.26

200

Jason jumped off a cliff into the ocean. His height as a function of time could be modeled by the function  h(t)=-16t2+16t+480. What was the highest point that jason reached? (t=0.5)

484 ft 

200

r=2/1+2cosθ

Classify the conic section of the polar equation.  

Hyperbola

300

Find the next three terms in the sequence below.

an= 3 x 4n-1

3,12,48

300

Using a calculator, graph the following, and find the  Vertex, and Axis.

y=3-x2

Vertex:(0,3)

Axis:x=0

300

The number n of college graduates in thousands after t years can be molded by n=46log5(t+3). t=0 in 1985, how many graduates will there be in 2003?

93,000

300

If a toy rocket is launched vertically upward from the ground with an initial velocity of 128 ft per second, then its height h, after t seconds is given by the equation. h(t)=-16t2+128t. How long will it take to reach maximum height 

4 seconds 

300

r=10/2-2sinθ

Classify the conic section of the polar equation.  

parabola

400

Find the next four terms in the sequence below.

an= 6/n+3

-3/2, -6/5, -1, -6/7

400

Using a calculator, graph the following, and find the  Vertex, and Axis.

y=(x-2)2+1

Vertex: (2,1)

Axis: x=2

400

In 1990, the population of New york state was 7.99 million. The population grows at a rate of 2.3%. When will New York have a population of 15 million. 

27 years 

400

If a toy rocket is launched vertically upward from the ground with an initial velocity of 128 ft per second, then its height h, after t seconds is given by the equation. h(t)=-16t2+128t.(t=4), What is the maximum height reached?

256 feet

400

r=14.4/2-4.8cosθ

Classify the conic section of the polar equation.  

hyperbola

500

Find the next four terms in the sequence below.

an=an-1 x -5    a1=0.4

0.4, -2, 10, -50

500

Using a calculator, graph the following, and find the  Vertex, and Axis.

y=-(x+4)2+2

Vertex:(-4,2)

Axis: x=-4

500

You have $1000 that you have to invest for 5 years. Your bank offers a compound interest rate of 3% compounded monthly, or an annual compound interest rate of 4.7%. Which option is best to invest in.  

The annual compound interest rate of 4.7%

500

You are trying to dunk a basketball. You need to jump 2.5 ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t)=16t2+12t. What is the maximum height your feet will be above the ground?

2.25 feet 

500

r=8/4-1.6sinθ

Classify the conic section of the polar equation.  

ellipse

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