Answer:
If Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.
Step-by-step explanation:
First, you have to calculate the 4% of the bill and add that amount to the total of the bill to determine the total amount including the tax:
193.75¨*4%=7.75
193.75+7.75=201.5
Now, you have to calculate 16% of the amount including the tax:
201.5*16%=32.24
According to this, the answer is that if Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.
For quadratics, these formulas are used mainly for factoring.
Your equation can be written as ...
... 2(x² +2x -3) = 0
You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...
... 2(x -1)(x +3) = 0
The roots are then 1 and -3, which sum to -b = -2.
(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)
Answer: Alibagi is 18.4 feet above the base camp.
Step-by-step explanation:
She starts at her base camp, which is on the middle of a mountain. She begins by rappelling down an 82.5-foot drop-off and then climbs a cliff of 30.4 feet. Next she rappels down a 45.5-foot drop-off and then climbs a 25.2-foot cliff. Finally she makes two 18.4
