A Because if you subtract his monthly salary and his amount paid then multiply the amount of 5% by the extra not excluding his monthly salary you get 6500$<span />

3 0

3 years ago

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Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

7 0

3 years ago

3/10÷4/5 im just lost

oee [108]

Answer:

0.375

Step-by-step explanation:

lololololollolollo

5 0

3 years ago

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Erin ran 7 1/2 miles around the track. Each lap is 1 1/2 miles. How many laps did Erin run

Roman55 [17]

Answer:

She ran 5 laps

Step-by-step explanation:

Why? Because with each lap stating to be one and a half miles; you first and only step is to divide, seeing how each time you put 1 1/2 into the value of this 7 1/2 miles, you got a lap each time.

you divide 7 1/2 by 1 1/2,

this results in getting, 5

3 0

3 years ago

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