Awnser is below in the photo
Answer in pic
Step-by-step explanation:
Let speed of the boat in still water = x miles per hour
Let speed of the current = y miles per hour
When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)
now plug the given values in formula speed=distance/time
we get equation:
(x+y)=160/8
or x+y=20...(i)
When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)
now plug the given values in formula speed=distance/time
we get equation:
(x-y)=160/40
or x-y=4
or x=4+y...(ii)
plug value of x into (i)
4+y+y=20
4+2y=20
2y=16
y=8
plug value of y into (ii)
x=4+8=12
Hence final answer is given by:
Speed of the boat in still water = 12 miles per hour
Speed of the current = 8 miles per hour
Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
Answer:
$93.72
Step-by-step explanation:
To be able to find how much is deducted from our paycheck monthly, we have to compute for the total amount left to pay for the health insurance.
Insurance = $4500
Company % = 75% or 0.75
Total amount left = $4500- $4500x0.75
Total amount left = $1125
Now that we know the total amount left, we simply divide the total by 12 to find the monthly payments.
Monthly Payment = $1125/12
Monthly Payment = $93.72
So a total of $93.72 will be deducted from our monthly paycheck for the health insurance.
