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kompoz [17]
3 years ago
8

In The past few weeks Sue earned $513 at her part time job She worked a total of 54 hours About how many did Sue earn per hour

Mathematics
1 answer:
Tresset [83]3 years ago
6 0
$513 (amount earned) / 54 (amount of hours) = $9.50 (hourly rate)

to check:
$9.50 (hourly rate) x 54 (amount of hours)
= 513 (amount earned)

hope this helps :)
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There are two paths that one can use to go from Sarah’s house to James’ house. One way is to take C street, and the other way re
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2.5 < 3.5, 3.5 – 2.5 = 1.

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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%.

Step-by-step explanation:

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.

A=A_0e^{rt}\\3000=6000e^{r(3)}

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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.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

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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