merchant pays duty on certain goods at three different places. At the first place, he gives 1/3rd of the worth of goods, at the second place he gives 1/4th of the remaining amount and at the third place he gives 1/5th of the remaining amount. If the total duty paid by him is Rs 1020,what is the total worth of the goods

If the wwight of a package is multiplied by 7/10 the result is 65.8 find the weight of the package

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Given that sin∅ = 1/4, 0 < ∅ < π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4