Substitute the given number in your formula and solve for the remaining variable.
.. 300 = 100e^(0.7t)
.. 3 = e^(0.7t) . . . . . . . . . divide by 100
.. ln(3) = 0.7t . . . . . . . . . .take the natural logarithm
.. ln(3)/0.7 = t . . . . . . . . . divide by the coefficient of the variable
.. 1.6 = t
Selection B is appropriate.
Answer:
All real numbers make this answer true: so x= all real numbers
Step-by-step explanation:
Answer:
P(A) = 3/10
P(B) = 7/30
P(A and B) = 2/15
P(A/B) = 4/7
No P(A/B) ≠ P(A)
No, events A and B are not independent events.
2y+12 < 42
subtract 12 from both sides to isolate the 'y'
2y<30
since '2y' is multiplication, the opposite is division. divide by 2 to isolate the 'y'. doing so will flip the < sign to make it >.
y > 15
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She makes $15 an hour. Her employers take out $125 weekly. She gets a paycheck for $205 that week.
Add the $125 back in that her employer took out and you can find how much she earned that week, it's $330. Divide $330 by $15 to find that she worked a minimum of 22 hours that week.
15h-125=205
15h=330
h=22
plug 22 in to the equation 15h-125=205 to check your answer
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I can't help you with the last one. Best of luck though man and god bless.
Answer:
The correct answer is 0.0667 centimeters.
Step-by-step explanation:
Diameter of earth is 12700 kilometers.
Width of the solidified ocean crust is 35 kilometers.
Ratio between the diameter of the earth and the solidified crust is 
.
Now the earth is shrunken to a size of a basketball with the diameter as 24.2 centimeters. Let the thickness of the Earth's crust in this model be x centimeters.
Ratio between the diameter of the model earth and the solidified crust is 
.
But this ratio of the real Earth and its model must be equal.
∴ =
⇒ x = 0.0667 centimeters.
