Answer:
7x-20=2x-3(3x+2)
We move all terms to the left:
7x-20-(2x-3(3x+2))=0
We calculate terms in parentheses: -(2x-3(3x+2)), so:
2x-3(3x+2)
We multiply parentheses
2x-9x-6
We add all the numbers together, and all the variables
-7x-6
Back to the equation:
-(-7x-6)
We get rid of parentheses
7x+7x+6-20=0
We add all the numbers together, and all the variables
14x-14=0
We move all terms containing x to the left, all other terms to the right
14x=14
x=14/14
x=1
Step-by-step explanation:
Use Pythagorean theorem:
9i-j = sqrt (9^2 - 1^2) = sqrt(81-1) = sqrt80
now divide both terms in V by that:
u = 9/sqrt(80)i - 1/sqrt(80)j
see attached picture:
Step-by-step explanation:
Answer:
$104,710.29
Step-by-step explanation:
The amount is given by ...
A = Pe^(rt)
where P is the principal invested at annual rate r for t years. Filling in the numbers, we get ...
A = 30000e^(.05·25) = 30000e^1.25 ≈ 104,710.29
The balance will be about $104,710.29 on the child's 25th birthday.
Note that when rounding, if the number is:
5 or greater, round up
4 or less, round down
43.68532 rounded to the nearest dollar is 44, as 6 rounds up
$44 is your answer
hope this helps
