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
Ah hah ! NOW I see it. Thanks to BellBell for a good link.
My first impression is a dog bone standing up on one end.
You're talking about the area of the figure, so I'll think that over
before I look at the choices.
I see:
-- 2 semi-circles = 1 whole circle.
and
-- (1 rectangle) minus (a trapezoid).
Now I'll look through the choices.
A). No good. The trapezoid is cut OUT of the figure,
and shouldn't be added into it.
B). Oh ! Yes ! I didn't look at it that way at first, but
I can see how that works. 'B' is good.
C). and D). Yes. This was my description above.
So 'A' is the method that's wrong.
Answer:
h = 5
Step-by-step explanation:
area = 1/2 base × hight
base = 3 +h
hight =9 + 6 = 15
60 = 1/2 × 15 × (3+h)
120/15 = 3 + h
8 = 3 + h
h = 5
