Solve.Cathy is the office manager. The office assistant earns $10,000 per year less than Cathy. The sum of Cathy's annual salary and the office assistant's annual salary is $84,000. Find Cathy's and the assistant's annual salaries.
A. Cathy's annual salary: $47,000
office assistant's annual salary: $37,000
B. Cathy's annual salary: $51,000
office assistant's annual salary: $33,000
C. Cathy's annual salary: $43,000
office assistant's annual salary: $33,000
D. Cathy's annual salary: $57,000
office assistant's annual salary: $47,000
Answer: A
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Find T, N, and B for the given space curve.r(t) = (1 + t)i + (8 + ln (sec t))j - 9k, -?/2 < t < ?/2
A. T = (cos t)i + (sin t)j; N = (- sin t)i + (cos t)j; B = k B. T = (cos t)i - (sin t)j; N = (-sin t)i - (cos t)j; B = -k C. T = (-cos t)i - (sin t)j; N = (sin t)i - (cos t)j; B = -k D. T = (-cos t)i - (sin t)j; N = (-cos t)i + (sin t)j; B = k
Use inductive reasoning to find the next equation in the pattern.12 + 12 = 212 + 22 = 522 + 32 = 13
A. 32 + 82 = 73 B. 32 + 52 = 35 C. 22 + 52 = 29 D. 32 + 52 = 34
Translate the problem situation to a system of equations. Do not solve.The sum of two numbers is 86. Five times the smaller number minus twice the larger number is 171. What are the numbers?
A. x + y = 86; 5x - 2y = 171 B. x + y = 86; 2x - 5y = 171 C. x - y = 86; 5x + 2y = 171 D. x + y = 86; 5x + 2y = 171
Rewrite the fraction in simplest form.
A. 
B. 
C. 
D. 