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Word Problem Applications
Recognise a, d, n, tn If you are missing any of the above, solve for them Use your formulas for tn and Sn Solve for the requested values (correct units!)
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Problem 1 Daniela borrowed some money from her parents. She agree to pay $50 at the end of the first month and $25 more each additional month for 12 months. How much does she pay in total after the 12 months?
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Problem 2 When an object is in free fall and air resistance is ignored, it falls 16 feet in the first second, an additional 48 feet during the next second, and 80 feet during the third second. How many total feet will the object fall in 10 seconds?
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Problem 3 The prizes in a weekly radio contest begin at $150 (first week) and increase by $50 for each week that the contest lasts. If the contest lasts for eleven weeks, how much was awarded in total? What would the prize be worth in the final week?
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Problem 4 There are 28 seats in the front row of a theater. Each successive row contains two more seats than the previous row. If there are 24 rows, how many seats are in the final row of the theatre, and how many seats are there in total?
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Problem 5 A radio station is offering a total of $8500 in prizes over ten hours. Each hour, the prize will increase by $100. Find the amounts of the first and last prize.
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Problem 6 As part of an advertising promotion a car dealer chooses a car from his lot with a retail price of $23000 and each day that the car is not sold reduces the price by $400. If the car is sold on Day 12, how much is it sold for? On what day can the car be purchased for $15800? The car cost the dealer $ After how many days will the car dealer be losing money on the vehicle? If no one purchases the car, after how many days will be be selling for $0?
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