The tenth place will be the number right after the decimal "." You have to look at the number behind the 7 to see if the 7 will stay at 7 or if it will round up to 8. Since 5 means you round up, you round the 7 to an 8, giving you:
3.8
Hello there! A half-life is basically a decay of 50%. We will find the amount left after one day by exponential decay. The formula for exponential decay is A(1 - r)^t, where A = initial amount, r = rate (in decimal form), and t = time (or in this case, amount of half lives). The half-life is 6 hours and 24 goes into 6 four times. That's 4 half lives. Let's start by subtract 50% (0.5) from 1. 1 - 0.5 is 0.5. Now, we will use 0.5 and raise it to the 4th power, because the 4th power represents 4 half lives. 0.5^4 is 0.0625. Leave this number on the calculator. Do not round. Multiply that number by 448 to find the amount left. When you do, you get 28. There. 28 grams will be left after 24 hours.
Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
Let x represent the cost of each pound of squash and y represent the cost of each pound of eggplant.
3 pounds of squash and 2 pounds of eggplants cost $2.85. Hence:
3x + 2y = 2.85 (1)
4 pounds of squash and 5 pounds of eggplants cost $5.41. Hence:
4x + 5y = 5.41 (2)
Solving equation 1 and 2 simultaneously gives:
x = 0.49, y = 0.69
Each pound of squash cost $0.49 while each pound of eggplant cost $0.69.
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3.5 - 3.2 = 3.8 - 3.5 = 4.1 - 3.8 = 0.3 (common difference)
