#1: A city park is rectangular in shape. The longer side of the park is 500 feet. A walkway runs diagonally through the park. The angle formed by the walkway and the shorter side of the park is 65°.

What is the perimeter of the park?

#2: The initial balance of a mutual fund is $1800. The fund is expected to grow in value at an annual rate of 5%.

Let x represent the number of years since the fund was started. Let y represent the value of the fund x years later.

What equation models the value of the mutual fund x years after it was started?

#3: What type of exponential function is f(x)=0.75(2.1)^x

What is the function's percent rate of change?

Select from the drop-down menus to correctly complete each statement.

The function is an exponential (growth/decay) function.

The percent rate of change of the function is (210/ 110/ 75/ 25) %.

#4: Let cos(−θ)=4/5 and tanθ> 0.

What is the value of sin(−θ)?

−4/5

−3/5

4/5

4/3

#5:

Let tan(x)=2/5.

What is the value of tan(π+x)?

2/5

−2/5

5/2

−5/2

Guest Dec 14, 2017

#1**+1 **

#1: A city park is rectangular in shape. The longer side of the park is 500 feet. A walkway runs diagonally through the park. The angle formed by the walkway and the shorter side of the park is 65°.

What is the perimeter of the park?

The shorter side is given by

500/tan 65 ≈ 233ft

So.....the perimeter ≈ 2 [ 500 + 233 ] = 2 [ 733 ] ≈ 1466 ft

#2: The initial balance of a mutual fund is $1800. The fund is expected to grow in value at an annual rate of 5%.

Let x represent the number of years since the fund was started. Let y represent the value of the fund x years later.

What equation models the value of the mutual fund x years after it was started?

y = 1800 (1.05)^{x}

#3: What type of exponential function is f(x)=0.75(2.1)^x

What is the function's percent rate of change?

Select from the drop-down menus to correctly complete each statement.

The function is an exponential (growth) function.

The percent rate of change of the function is (210) %.

#4: Let cos(−θ)=4/5 and tanθ> 0.

What is the value of sin(−θ)?

Note sin(-θ) = -sin(θ) and cos (-θ) = cos (θ)

So......

cos (θ) = 4/5 and sin (θ) = 3/5 so.....-sin(θ) = -3/5

#5:

Let tan(x)=2/5.

What is the value of tan(π+x)

Note.....tan ( pi + x) = tan (x) = 2/5

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CPhill Dec 14, 2017