Answer:
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Step-by-step explanation:
This problem can be solved in several ways. The way I like is as follows.
Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:
21000(P) = 2215
P = 0.1055 or 10.55 %
This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is
10.55 = 4(1 – X) + 15X
Where X is the proportion of the loan given at the indicated interest. So
10.55 = 4 – 4X + 15X
6.55 = 11X
X = 0.5955
1-X = 0.4045
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Answer:
28cm^2
Step-by-step explanation:
By splitting the shape into 2 separate rectangles, you can find that they would be 6cm by 3cm and 5cm by 2cm. doing length x width on both and adding them gives 28cm.
I believe she messed up in Step 2, it wouldnt be 7/8 it would be 6/8
Answer:
A) inverse sine is correct
Answer:
x=12
Step-by-step explanation:
3(x-1)=2x+9
3x-3=2x+9
3x-2x-3=9
x-3=9
x=9+3
x=12