David is going to invest $290 and leave it in an account for 15 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for David to end up with $570?

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.