After eating dinner at a restaurant, Lucy's bill before tax is $48.00. The sales tax rate is 8%. Lucy decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Lucy pay total, including tax and the tip?

$61.44

Step-by-step explanation:

Both the tip and the tax are based on the original amount ($48).  

To find the amounts, first change the percents to decimals.

8% = 0.08

20% = 0.20

Then, multiply the decimals by the original amount.

48 × 0.08 = 3.84

48 × 0.20 = 9.60

Next, add up the original amount, the tax, and the tip to find the total money spent by Lucy.

$48 + $3.84 + $9.60 = $61.44

The total amount spent is $61.44.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2