Provide an appropriate response.Suppose an investment decreases in value by 12% a year, compounded annually, for 42 years. The investment then increases in value by 12% a year, compounded annually, for 42 years. What percent of the original investment will you then have?
What will be an ideal response?
Answers will vary, but will always be less than 100%. For example, if the stated annual rate of decrease for 7 years is 8%, an investment of $100 would then be worth $55.78 at the end of the 7 years. If $55.78 then increases in value by 8% a year for 7 years the investment would be worth $95.60. This is 95.6% of the original investment.
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Factor the trinomial, or state that the trinomial is prime.x2 + 6xy - 27y2
A. (x - 3y)(x + 9y) B. (x + 3y)(x + y) C. (x + 3y)(x + 9y) D. prime
Solve the problem by writing an appropriate system of equations and using the inverse of the coefficient matrix to solve the system.A grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $39.60; to another, 2 of wheat, 3 of corn, and 5 of rye, for $34.80; and to a third, 3 of wheat, 5 of corn, and 2 of rye, for $33.60. Which of the grains was the cheapest?
A. Wheat B. Wheat and rye (tie) C. Corn and rye (tie) D. Corn
Provide an appropriate response. Convert 2.098 rad to degrees, minutes, seconds rounded to the nearest second of a degree.
A. 377.6° B. 0.036617° C. 120° 12' 23" D. 6.6°
Solve the problem.A pool table with a list price of $395 is sold by a wholesaler at a net cost of $252.80. Find the single trade discount rate being offered. Round to the nearest tenth of a percent if necessary.
A. 55.3% B. 64% C. 36% D. 56.3%