Answer:
x < 1/2
Step-by-step explanation:
5(2x + 1) < 10
Divide each side by 5
5/5(2x + 1) < 10/5
2x+1 < 2
Subtract 1 from each side
2x+1-1 < 2-1
2x <1
Divide each side by 2
2x/2 <1/2
x < 1/2
Answer:
D. Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2
Step-by-step explanation:
Key goal is to have x on one side while the other value to the right. By subtracting 14x on both sides, you would get x+6=5. You would finally subtract 6 on both sides, not 5, to get the x by itself, thus x=-1.
Answer:
28.8
Step-by-step explanation:
A squared plus b squared equals c squared.
Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
