Solve the problem.Mardi received an inheritance of $50,000. She invested part of it at 12% and the rest at 11%. Her total annual income from the investments was $5900. Find the amount invested at 12%.
A. $40,000
B. $44,100
C. $20,000
D. $39,000
Answer: A
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Find the unit tangent vector T and the principal unit normal vector N. r(t) = 
(1 + t)3/2i + 
(1 - t)3/2j + 2tk
A. T = 
i - 
j + 
k; N = 
i + 
j
B. T = 
i + 
j + 
k; N = 
i + 
j
C. T = 
i - 
j + 
k; N = 
i + 
j
D. T = 4
i - 4
j + 2k; N = 3
i + 3
j
Simplify the difference quotient by rationalizing the numerator.
?
?
A. ?
B. ?
C. ?
D. ?
E. ?
Solve the problem.Some people must eat a low-sodium diet with no more than 2,000 mg of sodium per day. By eating 1 cracker, 1 pretzel, and 1 cookie, a person would ingest 149 mg of sodium. If a person ate 8 pretzels and 8 cookies, he or she would ingest 936 mg of sodium. By eating 6 crackers and 7 pretzels, the person would take in 535 mg of sodium. Find the amount of sodium in each.Which of the following is true?
A. A cracker has 30 mg of sodium. B. A cookie has 71 mg of sodium. C. A pretzel has 49 mg of sodium. D. None of these
Write the statements Sk and Sk+1.Sn: 2 is a factor of n2 + 3n
What will be an ideal response?