subtract 5 from both sides
The steps you take to solve an equation of this sort are informed by the Order of Operations. Look at what operations are performed on the variable when you evaluate this equation. They are
• x is divided by 2
• 5 is added to the quotient
To solve for x, you "undo" these operations in reverse order. To "undo" addition, you perform subtraction. Here, you (IV.) subtract 5 from both sides as the first step of your solution.
Then you undo the division by 2. To "undo" division, you perform multiplication. Here, you (I.) multiply both sides by 2 as the second step of your solution.
In summary, the order of steps you would take to solve this equation is
... IV
... I
_____
x/2 + 5 = 9
x/2 = 4 . . . . . . . . subtract 5
x = 8 . . . . . . . . . . multiply by 2
Note that in our description of the operation we performed, we simply say "subtract 5" because the properties of equality require that you do that to both sides of the equation.
Answer:
A
Step-by-step explanation:
Construction Y because point E is the circumcenter of Triangle LMN
The solution of the equation is .
(Type the value of x.)
Answer:
x=14/4
Step-by-step explanation:
2x-4x+12 = -5+2x+3
-2x+12 = -2+2x
-2x-2x = -12-2
-4x=-14
x=-14/-4
x=14/4
A. is often lower initially
B. offers borrowers more flexible terms.
c. can be used for large purchases.
D. increases when the market rate increases
The term variable implies that the rate is bound to change over time, in this context variable interest rate may double as an Advantage and also as a disadvantage.
D. increases when the market rate increases
Variable interest rate is advantageous because as the market rate increases, the rate at which the customer will receive his/her interest will increase too
Learn more about interest rate here:
Answer: a
Step-by-step explanation:
back in 1 year? Round your answer to the nearest dollar. Do not round at any other point in the solving process; only round
your final answer.
Answer:
$615.72
Step-by-step explanation:
Use the compound interest formula and substitute the given value: A=$500(1+0.21/12)^12(1)
Simplify using order of operations: A=$500(1.0175)^12=$500(1.231439315)
=$615.72
Answer:
$558.68
Step-by-step explanation:
The amount of each monthly payment is given by the amortization formula:
A = P(r/n)/(1 -(1 +r/n)^(-nt)
where P is the principal borrowed, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
We want to find nA where we have n=12, r=0.21, t=1, P=500. Filling in these values, we get ...
nA = Pr/(1 -(1 +r/n)^-n) = $500(0.21)/(1 -1.0175^-12) = $558.68
The total amount needed to repay the loan in 1 year is $558.68.
Negative StartRoot 3 EndRoot
2.56
StartRoot 15 EndRoot
Answer:
B
Step-by-step explanation:
Answer:
B is correct!!! -squareroot of 3
Step-by-step explanation:
Answer:
In logic and mathematics, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction.
Step-by-step explanation: