Blog

Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes.  4×2-9y2=36{“version”:”1.1″,”math”:”4×2-9y2=36″}

Use the compound interest formulas A = P (1+rn)nt and A = Pert{“version”:”1.1″,”math”:”A = P (1+rn)nt and A = Pert”} to solve.  Suppose that you have $3000 to invest. Which investment yields the greater return over 9 years: 5.4% compounded monthly or 5.5% compounded quarterly?

Find the foci of the ellipse whose equation is given.  36(x-3)2+25(y+1)2=900{“version”:”1.1″,”math”:”36(x-3)2+25(y+1)2=900″}  

Find the indicated sum.  ∑k=24  k(k-7){“version”:”1.1″,”math”:”∑k=24  k(k-7)”}

x + y = 02x +3y = -7{“version”:”1.1″,”math”:”x + y = 02x +3y = -7″}Solve the system of the equations by substitution for x.   

Write the first four terms of the sequence define by the recursion formula.  a1=-2 and an=-3an-1 for n≥2{“version”:”1.1″,”math”:”a1=-2 and an=-3an-1 for n≥2″}

Solve. The half – life of silicon – 32 is 710 years. If 30 grams is present now, how much will be present in 300 years? (Round your answer to three decimal places.)

Evaluate the given binomial coefficient.  62{“version”:”1.1″,”math”:”62″}

Solve the exponential equation. Express the solution set in terms of natural logarithms.  ex+5=2{“version”:”1.1″,”math”:”ex+5=2″}

Complete the square and write the equation in standard form. Then give the center and radius of the circle.  x2 + y2 +4x +10y =7{“version”:”1.1″,”math”:”x2 + y2 +4x +10y =7″}