Mathematics: David has three bags of groceries weighing a total of 25 1/2 pounds two of the bags weigh 7 5/8 pounds and 4 3/4 pounds how much does the third bag weigh? a. 20 6/8 b. 17 7/8 c. 13 1/8 d. 12 2/8 me i do not understand

David has three bags of groceries weighing a total

elstone01

25.07.2022

38.0 grams

Step-by-step explanation:

The exponential decay equation with rate of decay r in time period x is given by :-

f(x)=A(1-r)^x , A is the initial value .

Given: The initial mass of element= 670 grams

Rate of decay= 27.3%=0.273

Now, the function represents amount of element after x minutes is given by ;-

$f(x)=670(1-0.273)^x\\\\\Rightarrow\ f(x)=670(0.727)^x$

Now, the function represents the amount of element after 9 minutes is given by ;-

$f(x)=670(1-0.273)^9\\\\\Rightarrow\ f(x)=38.0088299313\approx38.0\text{ grams}$

Hence, 38.0 grams of element remains after 9 minutes.

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