Carlos can afford a monthly car payment of $350, and he wants a 36-month loan. He has $500 saved up for a down payment, and he owns a trade-in with a value of $800. The tax rate in his area is seven percent. He has been pre-approved for an auto loan at a finance rate of 12 percent. Determine the price of a vehicle he can afford. Additionally, record how much interest and tax he will pay and the total amount he will spend. Vehicle Price:
Interest Paid:
Tax Paid:
Total Spent:

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.

During each minute of a comedy show, carlin laughs 55 times. carlin watches 33 comedy shows every day, and each show is 40 minutes long. how many times does carlin laugh every day due to the comedy shows?