For time t≥0, the acceleration of a particle moving along the x-axis is given by a(t)=cost+t. At time t=0, the velocity of the particle is 8 and the position of the particle is 0. What is the position of the particle at time t=π/4?

Each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if he spends 3x−5 dollars on rent, how much does he spend on electricity? for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s).