Solve the problem using two linear equations in two variables and Cramer's rule.Two different gasohol mixtures are available. One contains 5% alcohol and the other 12% alcohol. How much of each should be mixed to obtain 1500 gal of gasohol containing 10% alcohol? (Round to the nearest whole gallon.)
A. 625 gal 5%, 875 gal 12%
B. 75 gal 5%, 180 gal 12%
C. 1071 gal 5%, 1071 gal 12%
D. 429 gal 5%, 1071 gal 12%
Answer: D
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Simplify.8x - 12x - x
A. -5x B. -4x C. -3x D. -4x - x
Solve the problem.
A man plans to invest $15,000 over 4 years in an annuity at 6%, and he wants the best plan. Annuity 1 is a monthly ordinary annuity of $312.50 compounded monthly. Annuity 2 is a semiannual ordinary annuity of $1875.00 compounded semiannually. Annuity 3 is a quarterly annuity due of $937.50 compounded quarterly. Annuity 4 is a yearly annuity due of $3750.00 compounded annually. What annuity yields the greatest future value?
A. Annuity 2 B. Annuity 4 C. Annuity 3 D. Annuity 1
Add or subtract as indicated.Add.
A. -7m + 20m + 5 B. -34m - 20m - 5 C. 3m2 + 2m + 11 D. -33m2 - 2m - 11
Write the inequality in interval notation.-6 < x < 6
A. (-6, 6) B. [-6, 6] C. [-6, 6) D. (-6, 6]