If the fraction 414/x-10 is equivalent to -23 , find the value of x. Show your work. Use reasoning to find x.
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Answer:
The equation is at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation . We can find the rate at which it decays by using t=3 hours and A=3000. This means
in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know so we were able to cancel it out and divide both sides by 3.
We solve with a calculator
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is