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Find the equations of the tangent and normal lines to the parabola with vertex (0,3) and focus (0,0) where x=-1
How much do you need to invest today to have $500,000 30 years in the future and how much of that total is interest?
What percentage of Americans earn below $20,000? What percenage of Americans earn above $ 43,000?
Write an equation and solve: Each month an employee has $75 invested in a stock investment plan. This amounts to 5 percent of the employee's monthly salary. Find the monthly salary.
a chemical plant orders chemical x that is used at the rate of 800 barrels per year. each order that is placed with the
Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line. 5x-6y-12=0
Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4
Write each of the following expressions in correctly parenthesized text using one line (also called calculator notation or inline notation)
What effect does the change in elected officials have on budgeting? What long-term effects might result from this change?
What is the point of the vertex? How does this number relate to your answers in parts e and f?
A sound wave has a frequency of 3500 Hz. What is the distance between crests or compressions of the wave? (Take the speed of sound to be 344 m/s.)
a 34% solution is mixed with a 66% solution to produce 216 liters of a 42% solution. How many liters of each solution were mixed?
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
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