0.0505(35) = 1.7675...rounds to 1.77
157 - 35 = 122
0.0305(122) = 3.721...rounds to 3.72
the fee is : 1.77 + 3.72 = $5.49
This problem is mainly concerned with setting up an equation.
let's add the interest rates times their respective investment amounts:
simplify:
sum of interest:
1780 = (9000+x) 0.10 + x 0.06 + (11000-2x)0.08
solution:
He does not have any invested in the 6%, while he has 9000 invested at 10% and 11,000 invested at 8%
to check:
So this ended up being a trick problem because he does not actually have any invested in the 6% option.
Answer:
≈ 53.7° (Option 3)
Step-by-step explanation:
In the figure given above , the lengths of other two sides (excluding hypotenuse) are known to us. So , it would be convenient to use 'tan'.
Length of side opposite to angle 'x' = 15 cm
Length of side adjacent to angle 'x' = 11 cm
Using 'tan' formula - , lets solve this.
Using inverse tan function , lets find x.
≈ 53.74°