Algebra Assignment – due Sunday 8/19 12:00pm noon

Algebra Assignment – due Sunday 8/19 12:00pm noon.  I will pay 20.00.

1. Principal of $8000 is invested in an account paying annual rate compounded seminannually, quarterly and monthly.

a. amount in account after 4 years if account is compounded semiannually.

Round to nearest cent.

b. amount in account after 4 years if account is compounded quarterly. Round to nearest cent.

c. amount in account after 4 years if account is compounded monthly. Round to nearest cent.

2. Find equation of the line. Write equation using function notation. Through (2, -4); perpendicular to 6y=x-12

Equation of the line f(x) = ______

3. Find the product – (8x + 2)2

4. In 2006, the median price of existing home in some country was approximately $223,700. In 2001 the median price of an existing home was $151,800. Let y be the median price of an existing home in the year x, where x=0 represents 2001.

a. Write a linear equation that models the median existing home price in terms of the year x. (line must pass through points (0,151800) and (5, 223700).

y = ________ (type answer in slope-intercept form)

b. Use this equation to predict the median existing home price for the year 2010.

y = $___________________

c. Interpret the slope of the equation found in part a.

Choose the coorect answser below.

1. Every year, median price of home increases by $151,800

2. Every year, median price of home decreases by $151,800

3. Every year, median price of home increases by $14,380

4. Every year, median price of home decreases by $14,380

5. 2006 population of a country was 50.7 million people. 2006 to 2050 country’s population is expected to descrease by 6.9%. Find expected population of the country in 2050. Round to nearest tenth of a million.

6. Average annual number of cigarettes smoked by an adult continues to decline. 1997 to 2006, equation y=-49.7x + 1756.4 approximates this data. Here “x” is number of years after 1997 and “y” is average annual number of cigarettes smoked. If trend continues find year in which average number of cigarettes smoked is zero. Let y=0 and solve for x.

In ________ average annual number of cigarettes smoked will be 0. Round down to nearest year. (-49.7x is negagative)

7. Amount P of pollution varies directly with pollution N of people. City A has a population of 416,000 and produces 260,000 tons of pollutants. Find how many tons of pollution we should expect City B to produce if we know that its population is 348,000.

City B produces ______ tons of pollution. (do not round until final answer. Then round to nearest ton as needed)

8. simply by factoring. Assume all variables under radicals represent nonnegative numbers.

9. Spotlight is mounted on the eaves of a house 40 feet above ground. Flower bed runs between house and sidewalk so the closest ladder can be placed to the house is 9 feet. How long a ladder is needed so that an electrician can reach the place where the light is mounted.

Length of the ladder needs to be _____ feet.