What is the magnitude of the position vector whose terminal point is (-5, 3)?

2sqrt17
4
5
6

Step-by-step explanation:

The magnitude of a vector is the length of the vector itself.

Given a bi-dimensional vector, the magnitude of the vector is given by:

where

is the x-component of the vector

is the y-component of the vector

The vector in this problem is

Therefore its components are

And so, the magnitude of the vector is:

a. -0.3 > -0.33

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: