Exam 2: Applications and More Algebra

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Bob wants to save for a house downpayment by making,on a first day of every month,deposits of $ 500 into an account earning 0.5% monthly compound interest.If the first deposit is made on January 1,2017,find the approximate value in Bob's account on December 31,2022.

Express the sum in summation notation. 1 + + + + +

Suppose a company offers you a sales position with your choice of two methods of determining your yearly salary.One method pays $15,000 plus a bonus of 3% of your yearly sales.The other method pays a straight 13% commission of your sales.For what yearly sales level is it better to choose the first method?

Solve: 0.2 < 0.8(x + 1)

If x - 2 is less than 4 units from 0,then

Solve: 3(x - 5)+ 7 < 4(3 - x)+ 7x - 20

Solve: 0.3 ≥ 4

A company produces and sells q units of its product.If the variable cost is $4/unit,fixed costs are $4800 and the selling price is $28/unit,find the number of units the company must produce to split even (i.e.,zero profit).

Evaluate:

Evaluate:

Evaluate:

Suppose a person has $23 in his pocket.What is the maximum number of pizzas that person can order if each pizza costs $4.39?

A rectangular field is twice as long as it is wide.Find the dimensions of the field if it needs 600 feet of fencing to go around the field.

A recliner costs a wholesaler $189 and her markup is 10% of her selling price.If the retailer's markup is 30% of his selling price for the item,what is the retailer's selling price?

a = -8; r = -4

A company manufactures two types of prefabricated houses: ranch and colonial.Last year they sold three times as many ranch models as they did colonial models.If a total of 2640 houses were sold last year,how many of each model were sold?

A fence is to be placed around a rectangular plot so that 2700 sq ft are enclosed.How much fencing must be used if the plot is 3 times as long as it is wide?

The president of a computer company decides to borrow money to expand their research facility.The company has current assets of $24,920,000 and current liabilities of $6,000,000.How much can they borrow if they want their current ratio of assets to liabilities to be no less than 3.2? (Note: The funds they receive are considered as current assets and the loan as a current liability).

Write the income range for line 1 as an inequality.Write the inequality that represents the tax owed.