Answer: She invested $12000 in fund B.
Step-by-step explanation:
Let x represent the amount which she invested in fund A.
Let y represent the amount which she invested in fund B.
The amount she invested in Fund A was twice as much as the amount she invested in fund B. This means that
x = 2y
Fund A returned a 7% profit. It means that the profit returned from fund A is
7/100 × x = 0.07x
Fund B returned a 5% profit. It means that the profit returned from fund B is
5/100 × y = 0.05y
if total profit from the two funds together was $2280, it means that
0.07x + 0.05y = 2280- - - - - - - - - - -1
Substituting x = 2y into equation 1, it becomes
0.07 × 2y + 0.05y = 2280
0.14y + 0.05y = 2280
0.19y = 2280
y = 2280/0.19
y = 12000
x = 2y = 2 × 12000
x = 24000
Answer:
Correct answer: (x-√2)² + (y-√5)² = 3
Step-by-step explanation:
Given data: Center (x,y) = (√2,√5) and r = √3
The canonical or cartesian form of the equation of the circle is:
( x-p )² + ( y-q )² = r²
Where p is the x coordinate of the center, q is the y coordinate of the center and r is the radius of the circle.
God is with you!!!
The answer is .469 its just simply both percentages as percents multiplied together so .7*.67= .469
Answer:
we conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.
Step-by-step explanation:
We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".
In other words, it is symbolically represented as:
' ~q ~p is the contrapositive of p q '
For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."
Given
p: 2x -5=5
q: 4x-6=14
As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p
Thus, we conclude that:
If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.
