An electronic sensor is listed for 560.05 less 37% ,17% ,1% (a) What is the net price? (b) What is the total amount of discount allowed? (c) What is the exact single rate of discount that was allowed?

**(a) Net Price Calculation:*** **Discount 1:** 37% of 560.05 = 560.05 - 352.83* **Discount 2:** 17% of 352.83 = 352.83 - 292.83* **Discount 3:** 1% of 292.83 = 292.83 - 290.00 (approximately)Therefore, the net price is approximately ** 560.05 - 270.15Therefore, the total discount allowed is **$270.15**.**(c) Exact Single Rate of Discount:**To find the single discount rate equivalent to the series of discounts, we can use the following formula:Single Discount Rate = 1 - (1 - Discount 1)(1 - Discount 2)(1 - Discount 3)* Single Discount Rate = 1 - (1 - 0.37)(1 - 0.17)(1 - 0.01)* Single Discount Rate = 1 - (0.63)(0.83)(0.99)* Single Discount Rate = 1 - 0.519537* Single Discount Rate = 0.480463Converting this to a percentage:0.480463 * 100% = 48.05% (approximately)Therefore, the exact single rate of discount is approximately **48.05%**.