Answer:
why would i know
Step-by-step explanation:
Answer:
The correct answer is $16500 and $ 10000 each in two accounts.
Step-by-step explanation:
Samantha invests a total of $26,500 in two accounts.
Let Samantha invest $x in one account and $(26500 - x) in the other account.
The first account earned a rate of return of 14% (after a year).
Return earned = 14% of x
The second account suffered a 4% loss in the same time period.
Loss suffered = 4% of (26500 - x)
At the end of one year, the total amount of money gained was $1,910.00.
Therefore 14% of x - 4 % of (26500 - x) = 1910
⇒ 0.14x - 1060 + 0.04x = 1910
⇒ 0.18x = 2970
⇒ x = 16500
Therefore Samantha invested $16500 and $10000 each in two accounts.
Answer:
452.4 mi^2
Step-by-step explanation:
area of circle=πr^2
=22/7*(12)^2
=3.142*144
=452.448
=452.4 mi^2
The two equations are vertical angles, which mean they are equal.
Set each equation to equal each other and solve for x.
3x-3 = 6(x-10)
Simplify the right side:
3x-3 = 6x-60
Subtract 3x from each side:
-3 = 3x - 60
Add 60 to each side:
57 = 3x
Divide both sides by 3:
x = 57 / 3
x = 19
Answer:
the coefficient of x is 2
Step-by-step explanation:
(3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - (3x - y - z)
Apply the distributive law: - (a - b) = -a + b
Therefore, - (3x - y - z) = -3x + y + z
So (3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - 3x + y + z
Collect like terms: = 3x + 2x - 3x - y - y + y + z - z + z
Combine like terms: = 2x - y + z
Therefore, the coefficient of x is 2
Therefore, the coefficient of x is 2