Solve the problem.On December 31, 2005, a house was purchased with the buyer taking out a 30-year $90,000 mortgage at 3% interest compounded monthly. The mortgage payments are made at the end of each month. (a) How much of the principal will be paid off during the year 2041?(b) How much interest will be paid during the year 2041?
What will be an ideal response?
| (a) | $3994.06 (b) $559.22 |
Mathematics
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Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cylinder r(?, z) = 12 cos2 ?i + 6 sin 2?j + zk; P is the point corresponding to 
Fill in the blank(s) with the appropriate word(s).
Mathematics
Use an inverse matrix to find the solution to the system.
A. x = 6, y = 7, z = 9 B. x = -6, y = 12, z = 7 C. x = -6, y = 7, z = 12 D. x = 6, y = 9, z = 7
Mathematics
Provide an appropriate response.Express the area of the shaded region in terms of an integral (or integrals). Do not evaluate the expression: 
What will be an ideal response?
Mathematics
Rationalize the denominator and simplify.
A. 17
B. 1
C. 17
D. 
Mathematics