Find the length of the arc, S, on a circle of radius 6 meters intercepted by a central angle of 90°. Round to two decimal places.
A. S = 9.42 meters
B. S = 12.57 meters
C. S = 18.85 meters
D. S = 6.28 meters
E. S = 7.54 meters
Answer: A
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Provide an appropriate response.A company performed a marketing study and concluded that there is a potential of 100,000 customers for its product. At the beginning of the study there were 40,000 customers that used the product, and one year later there were 50,000 customers. Determine the number N of customers t years after the beginning of the study if N follows logistic growth.
What will be an ideal response?
Write the equation of the quadratic function whose graph is a parabola containing the given points.(0, -2), , (-3, -8)
A. y = + 3x - 2
B. y = 3x2 + 3x - 2
C. y = - 3x - 2
D. y = + 3x - 1
Write the equation of the circle with the given center and radius.center (3, 0), radius 7
A. (x - 3)2 + y2 = 49 B. (x + 3)2 + y2 = 49 C. x2 + (y + 3)2 = 7 D. x2 + (y - 3)2 = 7
The manufacturer of engine oils and lubricants leases the rights to produce a group of high-speed lubricants from Oil Corporation. The lease agreement calls for a payment of $60,000 at the end of each quarter for 6 years. If the current interest rate is 6.8% compounded quarterly, find the present value of payments.
a. $2,395,082.14 b. $1,254,222.26 c. $1,194,329.63 d. $1,174,365.42