Rachel: 3 bracelets in an hour.
Oliver: 2 bracelets in an hour but has completed 5 bracelets
Rachel : y = 3x
Oliver : y = 2x + 5
Let x be the number of hours. y is the total number of bracelets made in x hours.
3x = 2x + 5
3x - 2x = 5
x = 5
It would take 5 hours for Rachel to have the same number of bracelet as Oliver.
Rachel: 3x = 3(5) = 15
Oliver: 2x + 5 = 2(5) + 5 = 10 + 5 = 15
For this case we have that by definition:
So:
We apply distributive property that states that:
In addition, we take into account that:
Answer:
Option B
Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.
We have given that,
investment to double at a 3 3/4% interest rate,
<h3>When will the investment double in value?</h3>
The future value using continuous compounding is:
= Amount x e ^ (rate x time)
Interest is
= 3.75%
<h3>What is the formula of an exponential function?</h3>
2 = e ^ (0.0375 x time)
In2 = 0.0375 x time
t = In2 / 0.0375
t= 18.5 years
To learn more about the compounded continuously visit:
brainly.com/question/16731646.
#SPJ1
Answer:
"number line with open circles on negative 9 and 5, shading going in the opposite directions."
Step-by-step explanation:
Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.
|u|>14 means that the number u has to be greater than 14 or less than -14. These numbers I describe just now all have a distance greater than 14 from 0.
So |u|>14 implies u>14 or u<-14.
But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.
2x+4>14
Subtract 4 on both sides:
2x >10
Divide both sides by 2:
x >5
2x+4<-14
Subtract 4 on both sides:
2x <-18
Divide both sides by 2:
x <-9
So our solution is x>5 or x<-9.
Graphing!
~~~~~~~O O~~~~~~~~
-----------(-9)---------------------------------(5)---------------
So we shaded to the right of 5 because our inequality says x is bigger than 5.
We shaded to the left of -9 because our inequality says x is less than -9.
Answer: B. 17
Step-by-step explanation:
4x-3 = 65
Add 3 on both sides
4x = 68
Divide by 4 on both sides
x = 17
BOOM!
