Answer:
93.99
Step-by-step explanation:
sin rule is:
sin A ÷ a = sin B ÷ b = sin C ÷ c
A B C are angles
a b c are the lengths opposite to each angle
to find angle opposite to x:
180- (90+57) = 33°
180: sum of angles in a traingle
90: since its a right angle traingle
to find x:
sin 57 ÷ 41 = sin 33 ÷ x
rearrange:
x= (sin 33 x 41) ÷ sin 57
x= 93.99 (2 d.p/2 decimal places)
If you would like to know how much money will Gerold have at the end of 5 years, you can calculate this using the following steps:
1 year: $118 + 6% * $118 = 118 + 6/100 * 118 = 118 + 7.08 = $125.08
2 year: $125.08 + 6% * $125.08 = 125.08 + 6/100 * 125.08 = 125.08 + 7.50 = $132.58
3 year: $132.58 + 6% * $132.58 = 132.58 + 6/100 * 132.58 = 132.58 + 7.95 = $140.53
4 year: $140.53 + 6% * $140.53 = 140.53 + 6/100 * 140.53 = 140.53 + 8.43 = $148.96
5 year: $148.96 + 6% * $148.96 = 148.96 + 6/100 * 148.96 = 148.96 + 8.94 = $157.9
The correct result would be $157.9.
F^-1(x) is the inverse so...
f^-1(x) = (-1/5)x - 11/5
