At a restaurant, the amount of your bill before taxes and tip is $19.83. A 6% sales tax is applied to your bill, and you leave a tip equal to 19% of the original amount. Use mental math to estimate the total amount of money you pay to the nearest dollar.

$24.7875

Step-by-step explanation:

Step one:

given data

your bill before taxes and tip is $19.83

6% sales tax

tip equal to 19% of the original amount.

Required

The total expenses

Step two:

let the total expenses be y

let us calculate the cost of  tax and the tip

Tax

=6/100*19.83

=0.06*19.83

=$1.1898

Tip

=19/100*19.83

=0.19*19.83

=$3.7677

Total

Y= 19.83 +1.1898 +3.7677

Y= $24.7875

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional