Suppose you obtain a mortgage loan of $200,000 at an annual interest rate of 7.0%. How much less is the interest paid over the life of a 15-year loan than over the life of a 25-year loan? Round your answer to the nearest cent.
a. $100,489.34
b. $224,067.52
c. $123,578.18
d. $115,229.44
e. $69,137.67
a. $100,489.34
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Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = x4 - 5x3 + 3x2 + 9x - 3; (-5, 5)
A. local minimum at (-0.61, -5.64) local maximum at (1.41, 6.12) local minimum at (3, -3) B. local minimum at (-0.57, -6.12) local maximum at (1.32, 5.64) local minimum at (3, -3) C. local minimum at (-1, -6) local maximum at (1, 6) local minimum at (3, -3) D. local minimum at (-3, -3) local maximum at (-1.32, 5.64) local minimum at (0.57, -6.12)
Find the exact value of the trigonometric expression without the use of a calculator.If tan ? = 
, ? < ? < 
and cos ? = - 
, 
< ? < ?, find the exact value of tan (? + ?).
A. - 
B. 
C. 
D. 
Determine whether the pair of triangles is congruent. If congruent, state the property of congruence that applies (SSS, SAS, or ASA).
A. congruent; ASA B. not congruent C. congruent; SSS D. congruent; SAS
Find the x- and y-intercepts of f.f(x) = -x2(x + 3)(x2 - 1)
A. x-intercepts: -3, -1, 0, 1; y-intercept: -3 B. x-intercepts: -1, 0, 1, 3; y-intercept: 0 C. x-intercepts: -3, -1, 0, 1; y-intercept: 0 D. x-intercepts: -3, 0, 1; y-intercept: -3