Find the effective rate corresponding to the given nominal rate. Round your answers to the nearest hundredth.
?
10% / year compounded semiannually
?
__________%
?
3% / year compounded quarterly
?
__________%
What will be an ideal response?
10.25; 3.03
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Solve the problem.A ball is dropped from a height of 18 m and always rebounds of the height of the previous drop. How far does it travel (up and down) before coming to rest?
A. 90 m B. 36 m C. 108 m D. 54 m
Solve the initial value problem for y as a function of x.
= 1, x > 7, y(14) = ln (2 + 7
)
A. y = ln (x + ) + ln (2 + 7
)
B. y = ln
+ ln 7
C. y = ln (x + ) + ln (2 + 7
) - ln (14 + 7
)
D. y = ln + ln (2 + 7
)
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = x2, g(x) = x2 + 1
A. g shifts the graph of f vertically down 1 unit
B. g shifts the graph of f vertically down 1 unit
C. g shifts the graph of f vertically up 1 unit
D. g shifts the graph of f vertically up 1 unit
Use Descartes' Rule of Signs to determine the possible number of positive real zeros and the possible number of negative real zeros for the function.f(x) = 4x8 + 3x6 + 2x4 + 9x2 + 7
A. 0 positive; 4 negative B. 4 positive; 4 negative C. 0 positive; 0 negative D. 4 positive; 0 negative