#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
#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