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3 years ago

Bob took 20 math test last year if he failed 6 of them what percent of the math test did he pass

2 answers:

8 0

6 out of 20=what percent?
6/20=x%

percent means parts out of 100
x%=x/100

6/20=x/100
time both sides by 100
30=x
answer is 30% passed

100-30=70
70% is answer

Jlenok [28]3 years ago

7 0

70 %

6 is the 30% percent of 20, so 70% refers to the percent of the math test he passed

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3 years ago

A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the

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The equation is $A=6000e^{-0.23t}$ at a rate of -23%.

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Decay can be represented by the equation $A=A_0e^{rt}$ . We can find the rate at which it decays by using t=3 hours and A=3000. This means $A_0=6000$ in this context.

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We know $lne=1$ so we were able to cancel it out and divide both sides by 3.

We solve with a calculator $\frac{ln0.5}{3} =r\\-0.23=r$

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is $A=6000e^{-0.23t}$

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