Solve the problem by using two equations with two variables.A retired couple has $170,000 to invest to obtain annual income. They want some of it invested in safe Certificates of Deposit yielding 7%. The rest they want to invest in AA bonds yielding 12% per year. How much should they invest in each to realize exactly $17,400 per year?

A. $110,000 at 12% and $60,000 at 7%
B. $110,000 at 7% and $60,000 at 12%
C. $120,000 at 12% and $50,000 at 7%
D. $100,000 at 7% and $70,000 at 12%


Answer: A

Mathematics

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Find the moment or center of mass of the wire, as indicated.Find the center of mass of a wire that lies along the first-quadrant portion of the circle  if the density of the wire is 

A.  =  = 
B.  =  =  
C.  =  = 
D.  =  = 

Mathematics

Solve the problem.For a complex number C, define z0 = 0, z1 = C, z2 = (z1)2 + C = C2 + C z3 = (z2)2 + C = (C2 + C)2 + C . . . zn+1 = + C (square the previous answer and add C).The Mandelbrot set is usually displayed by giving each complex number C = a + bi a color determined by the smallest integer n for which  ? 2. Use the above definition, the definition  and the table below to find the color assigned to the given complex

number.  Smallest value of n for which  > 2Color1Pink2Yellow3Orange4BlueC = 1 + i

A. Yellow
B. Orange
C. Pink
D. Blue

Mathematics

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

A. Irrational, 11.045 B. Irrational, 61.000 C. Rational, 11.045 D. Not a real number

Mathematics

Solve the problem.Use the formula A = P(1 + r)2 to find what the rate of interest is if a principal amount of $4000 grows to $4840.00 in 2 years, if interest is compounded annually.

A. 8% B. 11% C. 10% D. 12%

Mathematics