2 years ago

What is the decimal multiplier to increase by 5.3%?

Mathematics

2 answers:

stich3 [128]2 years ago

8 0

Answer:

1.053

Step-by-step explanation:

1.053(100)=105.3

pls mark brainliest

rosijanka [135]2 years ago

4 0

Answer:

0.053

Step-by-step explanation:

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Plutonium-240 decays according to the function L where o

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Answer:

$\boxed{\textbf{1700 yr}}$

Step-by-step explanation:

$-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt$

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Calculation:

$\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}$