An observation on the sums of divisors by Euler L.

By Euler L.

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How much is your health insurance premium each month? 37. A credit card states that your payment will be a minimum of $15 plus 1% of your unpaid balance. Your unpaid balance is $2,365. What is your payment this month? 38. The length of a room is 3 more than twice the width of the room. The perimeter of the room is 66 feet. What are the dimensions of the room? ) 39. Suppose a roast should be cooked for 45 minutes plus 10 more minutes for every pound the roast weighs. If a roast is properly cooked in 3 hours, how much did it weigh?

Simplify both sides of the equation. It would take you 5 hours to travel 300 miles. This technique works for any formula even though the formula may be very complex. Example: Find the interest on a savings account with a balance of $2,400 when the interest rate is 3% for 3 years. Use the formula I = prt. I = interest earned p = amount of money invested r = interest rate t = time invested I = prt Substitute what you know into the formula. 03 × 3 Simplify the equation. 5% to earn $630? I = prt Substitute what you know into the formula.

8 + 4 · 2 11. 5 + (7 – 5)3 + 2 2. 2 + 3 – 4 + 5 12. 5 + 14 ÷ 7 + 5 · 2 3. 5 – 3 · 22 13. (9 – 5) – (6 + 1) 4. 3 · 10 – 18 ÷ 2 14. 4(2 –5) + 8 5. 17 – 3 · 4 ÷ 2 15. 15 ÷ 3 · 23 6. 17 – 4 ÷ 2 · 4 16. 4 + 2(–6) + 15 7. 12 + 32 – 11 17. 3 – –4 · –5 8. 2 + 5(6 ÷ 3) + 4 18. 5 – 3(4)2 9. 45 ÷ 5 – 6 19. 2 + 12 ÷ 6 – 3 · 2 10. 14 ÷ (3 + 2 · 2) 20. 3(2) ÷ 2(3) – 5 Working with Multiple Grouping Symbols What would you do if you had grouping symbols inside grouping symbols? To simplify the expression, 2{4 + 3[10 – 4(2)] + 1}, start from the inside and work to the outside.

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