In one hour, a bakery sold 5 muffins and 9 bagels for total of $25.50. The next hour, the bakery sold 3 muffins and 12 bagels for a total of $28.50. Let m represent the price of one muffin and b represent the cost of one bagel. Draco wrote the following system of linear equations to solve for the cost of each item. 5 m + 9 b = 28.50. 3 m + 12 b = 25.50. What is Draco’s error? Draco should have set the first equation equal to 25.50 and the second equation equal to 28.50. Draco should have written the first equation as 3 m + 9 b = 25.50. Draco should have written 9b in the second equation and 12b in the first equation. Draco should have written the second equation as 5 m + 12 b = 28.50.

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

The federal reserve controls certain interest rates in the united states. investors often try to speculate as to whether the federal reserve will raise or lower rates and by how much. suppose a company conducts extensive interviews with financial analysts, and as a result, predicts that "thefed" will increase rates by an average of 0.25 percentage points every six months for the forseeable future. which type of equation could be used to model the predicted interest rates over the next several years, assuming no other significant changes? a) a linear equation b) a quadratic equation c) a polynomial equation d) an exponential equation

The length of a lap is 15 meters. if lisa wants to swim 450 meters this week,how many laps must she swim