Questions in mathematics

Questions in mathematics

[Done] On January 1, 1999, the price of gasoline was $1.39 per gallon. If the price of gasoline increased by 0.5% per month, what was the cost of one gallon of gasoline, to the nearest cent, on January 1 one year later?

[Done] Carl has three lengths of cable: [tex]\frac{5}{6}[/tex] yard long, [tex]\frac{1}{4}[/tex] yard long, and [tex]\frac{2}{3}[/tex] yard long. He needs at least one yard of cable. Which two pieces together make a total length that is at least 1 yard and closest to 1 yard?

[Done] Solve for \(x\): \[\tan x + \sqrt{3} = 0\]

[Done] A movie theater sold a total of 520 adult and child tickets on a certain day. The theater sold 2.25 times as many adult tickets as child tickets. Each adult ticket cost $8 and each child ticket cost $3. How much revenue did the theater generate in ticket sales that day?

[Done] Jim paddles from one shore of a lake three miles wide at 4 mph, and John paddles from the opposite shore at 5 mph. How long will they travel before they meet?

[Done] Alan Cohl obtained an installment loan for $3,560. His finance charge is $308.56, and he will make 18 monthly payments. What is the APR?

[Done] Find two consecutive numbers with a product of 121.

[Done] Expand and simplify the following expressions: 1. \((X+6)(x+9)\) 2. \((X-5)(x+2)\) 3. \((X-1)(x-7)\) 4. \((4x+9)(3x+8)\) 5. \((3x-8)(2x-1)\) 6. \((X+9)^2\) 7. \((3x+2)^2\)

[Done] Use the form \(y = mx + b\) for linear equations. Write the equation for the following relation: \(A = \{(x, y): (1, 2), (2, 5), (3, 8), \ldots\}\)

[Done] There are 765 marbles in a box. There are twice as many blue marbles as green marbles. There are three times as many red marbles as blue marbles. How many red marbles are in the box?