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Novosadov [1.4K]
4 years ago
6

An element with mass 130 grams decays by 22% per minute. How much of the element is remaining after 7 minutes, to the nearest 10

th of a gram?
Mathematics
2 answers:
Airida [17]4 years ago
7 0

Answer:

the answer is 22.9 g

Step-by-step explanation:

GaryK [48]4 years ago
5 0

Answer:

The answer to your question is 22.9 g

Step-by-step explanation:

Data

mass = 130 g

rate = 22%

time = 7 min

Process

1.- Calculate the mass remaining after each minute

                   130 g ----------------- 100

                     x      -----------------   22

                     x = (22 x 130) / 100

                    x = 28.6 g

mass remaining = 130 - 28.6 = 101.4 g

                   101.4 g------------------ 100

                      x      ------------------ 22

                      x = (22 x 101) / 100

                      x = 22.22

mass remaining = 101.4 - 22.22

                           = 79.18

                     79.18 g ----------------- 100

                           x     -----------------   22

                          x = (22 x 79.18)/100

                          x = 17.41

mass remaining = 79.18 - 17.41

                           = 61.76

                       61.76 --------------------- 100

                           x    ----------------------  22

                           x = (22 x 61.76)/100

                           x = 13.59

mass remaining = 61.76 . 13.59

                           = 48.17 g

                         48.17 g ----------------- 100

                              x      -----------------   22

                              x = (22 x 48.17)/100

                              x = 10.59

mass remaining = 48.17 - 10.59

                           = 37.57 g

                          37.57 g ----------------- 100

                              x       ----------------- 22

                              x = (22 x 37.57) / 100

                              x = 8.26 g

mass remaining = 37.57 - 8.26

                           = 29.3

                           29.3 g ------------------- 100

                               x     -------------------- 22

                               x = (22 x 29.3)/100

                               x = 6.45

mass remaining = 29.3 - 6.45

                           = 22.85 g

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