Answer:
If your investment dropped 7% and then increased by 8% you will not be a percent ahead. The reason being is that the increase is a lower amount and the decrease was on a larger amount.
For example, if you have $100 invested. 100*.07=$7, 100-7=$93 remaining. 93*08= $7.44. 93+7.44=100.44 (a .44 increase from the original number). One percent increase from the original number would have $101.
You have to go at this in a round-about fashion...by finding the length of the leg across from the 67 degree angle. This is found by using the tangent ratio...Tan(67)=x/137; x=137tan(67) = 322.8. Now you can use this in one of two ways: use Pythagorean's Theorem to find the length of the hypotenuse OR you could use the sin67=322.8/x. Up to you. Either way, make sure you have your calculator in degree mode!
Answer:
6 sqrt(3) = y
Step-by-step explanation:
We can use the leg rule to find y
hyp leg
----- = -------
leg part
9+3 y
----- = -------
y 9
Using cross products
12*9 = y^2
108 = y^2
Taking the square root of each side
sqrt(108) = sqrt(y^2)
sqrt(36 *3) = y
6 sqrt(3) = y