answer:Kristy earns a basic salary of x per hour and worked for 160 hours, so her basic earnings for the month are 160 * x. She also earned a 16% commission on everything she sold, which is 0.16 * 25000 = 4000. Her total monthly earnings are the sum of her basic earnings and her commission: 160 * x + 4000. Her monthly budget for food, clothing, rent, transportation, bills, and savings is 95% of her total monthly earnings, which is 0.95 * (160 * x + 4000). The amount allocated to insurance is the remaining 5% of her total monthly earnings, which is 0.05 * (160 * x + 4000). We are given that the amount allocated to insurance is 260, so we can write: 0.05 * (160 * x + 4000) = 260. Dividing both sides by 0.05, we get: 160 * x + 4000 = 5200. Subtracting 4000 from both sides, we get: 160 * x = 1200. Dividing both sides by 160, we get: x = 7.50. The value of x is 7.50. 7.5 The answer is: 7.5

answer:Steve spent 25 on groceries. He bought a gallon of milk for 3, two boxes of cereal for 3.5 each, 4 bananas for 0.25 each, and four apples for 0.5 each. The total cost of the milk, cereal, bananas, and apples is 3 + 2*3.5 + 4*0.25 + 4*0.5 = 3 + 7 + 1 + 2 = 13. So, Steve spent 25 - 13 = 12 on the boxes of cookies. Each box of cookies costs twice as much as the gallon of milk, which is 3*2 = 6. Therefore, Steve purchased 12/6 = 2 boxes of cookies. 2 The answer is: 2

answer:We can write frac{1}{5^{{}^n}} as a decimal by dividing 1 by 5^n. For example, frac{1}{5^2} = frac{1}{25} = 0.04, so f(2) = 0 + 4 = 4. Similarly, frac{1}{5^3} = frac{1}{125} = 0.008, so f(3) = 0 + 0 + 8 = 8. We can see that as n increases, the decimal becomes longer and the sum of the digits increases. We want to find the smallest n such that f(n) > 10. To do this, we can calculate f(n) for increasing values of n until we find one that is greater than 10. f(1) = 0 + 2 = 2 f(2) = 0 + 4 = 4 f(3) = 0 + 0 + 8 = 8 f(4) = 0 + 0 + 1 + 6 = 7 f(5) = 0 + 0 + 0 + 3 + 2 = 5 f(6) = 0 + 0 + 0 + 0 + 6 + 4 = 10 f(7) = 0 + 0 + 0 + 0 + 1 + 2 + 8 = 11 Therefore, the smallest n such that f(n) > 10 is boxed{7}.The answer is: 7

answer:Larry's shoulder height is 20% less than his full height, which means his shoulder height is 80% of his full height. Larry's shoulder height is 80% of 5 feet, so his shoulder height is 0.8 * 5 = 4 feet. Barry can reach apples that are 5 feet high, so if he stands on Larry's shoulders, they can reach a total height of 5 + 4 = 9 feet. Therefore, they can reach apples that are 9 feet high. 9 The answer is: 9