Solve the equation in the interval [0,2?). sin x = cos x
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Find the indicated quantities for the appropriate geometric sequence.A woman borrowed $30,000 at 14% interest compounded annually. If the loan was paid off at the end of 6 years, how much did she pay? Round to the nearest cent.
A. $55,200.00 B. $65,849.18 C. $35,849.18 D. $34,200.00
Find the vertex, focus, and directrix of the parabola. Graph the equation.(y - 3)2 = 4(x - 2)
A. vertex: (2, 3)
focus: (3, 3)
directrix: x = 1
B. vertex: (2, 3)
focus: (2, 4)
directrix: y = 2
C. vertex: (-3, -2)
focus: (-2, -2)
directrix: x = -4
D. vertex: (-2, -3)
focus: (-2, -2)
directrix: y = -4
Solve.Juanita is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $230 for materials and equipment rental plus $55 per hour for labor. Company B gave and estimate of $270 for materials and equipment rental plus $45 per hour for labor. Create a cost equation for each company where y is the total cost of the landscaping and x is the number of hours of labor. Determine how many hours of labor will be required for the two companies to cost the same.
A. 7 hours B. 4 hours C. 3 hours D. 8 hours
Solve the problem.The public swimming pool, which is a rectangle measuring by
needs a new deck. The deck of uniform width that will surround the pool will be made of concrete. There is only enough money in the budget to cover
with concrete. How wide should the deck be?
A. 10 m B. 12 m C. 6 m D. 8 m