A rug is made by weaving 24 lb of yarn that is 40% wool with a yarn that is 15% wool. How many pounds of the yarn that is 15% wool must be used if the finished rug is to be 27% wool?

Taber invested money in an account where interest is compounded every year. he made no withdrawals or deposits. the function a(t)=525(1+0.05)^t represent the amount of money in the account after t years. how much money did taber origanally invested?

Amodified roulette wheel has 36 slots. one slot is 0, another is 00, and the others are numbered 1 through 34, respectively. you are placing a bet that the outcome is an odd number. (in roulette, 0 and 00 are neither odd nor even.) a. what is your probability of winning? the probability of winning is startfraction 17 over 36 endfraction . (type an integer or a simplified fraction.) b. what are the actual odds against winning? the actual odds against winning are nothing: nothing. c. when you bet that the outcome is an odd number, the payoff odds are 1: 1. how much profit do you make if you bet $10 and win? if you win, the payoff is $ nothing. d. how much profit should you make on the $10 bet if you could somehow convince the casino to change its payoff odds so that they are the same as the actual odds against winning? $ nothing (round to the nearest cent as needed.)

Each weekday davina rides her bike from her house to school. after school, she rides to the library. then davina takes the same route to get home. these locations are shown on the grid below, where 1 unit on the grid represents 1 kilometer. how many kilometers does she ride each day? 10 16 20 32