tarheel2006
New member
- Joined
- Dec 3, 2008
- Messages
- 14
104. Bonus and taxes. A company has an income of $100,000 before paying taxes and a bonus. The bonus B is to be 20% of the income after deducting income taxes T but before deducting the bonus. So B = 0.20(100,000 - T ). Because the bonus is a deductible expense, the amount of income tax T at a 40% rate is 40% of the income after deducting the bonus. So T =0.40(100,000 - B).
a) Use the accompanying graph to estimate the values of T and B that satisfy both equations.
b) Solve the system algebraically to find the bonus and the amount of tax.
106. Free market. The equations S = 5000 + 200x and D = 9500 - 100x express the supply S and the demand D, respectively, for a popular compact disc brand in terms of its price x (in dollars).
a) Graph the equations on the same coordinate system.
b) What happens to the supply as the price increases?
c) What happens to the demand as the price increases?
d) The price at which supply and demand are equal is called the equilibrium price.What is the equilibrium price?
a) Use the accompanying graph to estimate the values of T and B that satisfy both equations.
b) Solve the system algebraically to find the bonus and the amount of tax.
106. Free market. The equations S = 5000 + 200x and D = 9500 - 100x express the supply S and the demand D, respectively, for a popular compact disc brand in terms of its price x (in dollars).
a) Graph the equations on the same coordinate system.
b) What happens to the supply as the price increases?
c) What happens to the demand as the price increases?
d) The price at which supply and demand are equal is called the equilibrium price.What is the equilibrium price?