Answer:
After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.
Step-by-step explanation:
Caitlyn's saving: -5x+210
Santos' saving: 5x+90
To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.
-5x+210 = 5x+90
(Add 5x on both sides)
210=10x+90
(Subtract 90 from both sides)
120=10x
(Simplify)
x=12
After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.
Answer:
-4x+8-15/x+2
Step-by-step explanation:
divide
-4x+8x+1/x+2
divide that
-4x+8+-15/x+2
simplify
-4x+8-15/x+2
I really hope this helps you!
Answer: The probability that exactly 2 insects will survive = 0.2501
Step-by-step explanation:
Given: A certain insecticide kills 80% of all insects in laboratory experiments.
The probability that a particular insect survives= 1-0.80=0.20
Sample size: n=14
Binomial probability distribution:
, where x= number of successes , p=probability of success in each trial, n= sample size.
The probability that exactly 2 insects will survive = 

Hence, the probability that exactly 2 insects will survive = 0.2501
<span>This is because the focus of the parabola is the point which the parabola wraps itself around, for lack of a better word.
</span><span>The only point we need to be really concerned about that is on the parabola is the vertex, right at the center.
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I hope my answer has come to your help. God bless and have a nice day ahead!