Use scientific notation to solve the problem.If the speed of light is 3.00 x 108 m/sec, how long does it take light to travel 2.29 x 1011 m, the distance from the sun to Mars?
A. 7.6 x 102 sec
B. 7.6 x 103 sec
C. 76 sec
D. 7.6 x 102 min
Answer: A
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Find the length of the curve.The cardioid r = 7(1 + sin ?)
A.
B. ?
C. 56
D. 56?
Translate the statement into a mathematical expression.Find the value of x $20-bills.
A. x - 20
B. 20 + x
C.
D. 20x
Find a formula for the inverse of the function described below.A size 4 dress in Country C is size 36 in Country D. A function that converts dress sizes in Country C to those in Country D is
A. f-1(x) =
B. f-1(x) = x - 32
C. f-1(x) =
D. f-1(x) = x + 32
Use the simplex method to solve the linear programming problem.Alan wants to invest a total of $21,000 in mutual funds and a certificate of deposit (CD). He wants to invest no more in mutual funds than half the amount he invests in the CD. His expected return on mutual funds is 8% and on the CD is 4%. How much money should Alan invest in each area in order to have the largest return on his investments? What is his maximum one-year return?
A. Maximum one-year return is $1680 when he invests $21,000 in mutual funds and $0 in the CD. B. Maximum one-year return is $1120 when he invests $7000 in mutual funds and $14,000 in the CD. C. Maximum one-year return is $840 when he invests $0 in mutual funds and $21,000 in the CD. D. Maximum one-year return is $4200 when he invests $14,000 in mutual funds and $7000 in the CD.