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N76 [4]
3 years ago
13

you purchased 10.75 gallons of gasoline at 3.60/gallon. you also bought a cookie (1.25) and windshield wiper fluid at (4.97). th

e state had a food tax of 4%. you gave the clerk 20.00 and the remaining amount is owed was charged to your debit card. how much was charged to your debit card
Mathematics
1 answer:
elixir [45]3 years ago
6 0
Here is the solution of the given problem above:
Given: Gasoline = 10.75 gallons x $3.60 = $38.70
           Cookie = $1.25 + food tax 4% = $1.30
           Wiper fluid = $4.97
           Cash = $20.00
           ? = amount charged on debit card
In order to know how much was charged, we first need to add all the other expenses.  So the total would be $44.97. Deduct $20 from it so the amount charged to the debit card is $24.97. Hope this answer helps.
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F(x)=4^x and g(x)=4^x+2
dsp73

Given:

The two functions are:

f(x)=4^x

g(x)=4^x+2

To find:

The type of transformation from f(x) to g(x) in the problem above and including its distance moved.

Solution:

The transformation is defined as

g(x)=f(x+a)+b                .... (i)

Where, a is horizontal shift and b is vertical shift.  

  • If a>0, then the graph shifts a units left.
  • If a<0, then the graph shifts a units right.
  • If b>0, then the graph shifts b units up.
  • If b<0, then the graph shifts b units down.

We have,

f(x)=4^x

g(x)=4^x+2

The function g(x) can be written as

g(x)=f(x)+2            ...(ii)

On comparing (i) and (ii), we get

a=0,b=2

Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).

3 0
3 years ago
John paid $32.16 for groceries. This included 7% sales tax. What was the cost of groceries before the sales tax? A. $2.25 B. $30
hoa [83]
If 32.16 includes the sales tax....then the price before the sales tax will be less then 32.16

that only leaves 2 choices.....
so lets check them...
7% sales tax on 2.25 = 0.07(2.25) = 0.16....so if u spent 2.25 on groceries and added the sales tax of 16 cents....then u would have spent 2.41...thats a long way from 32.16

if u spent 30.06...with 7% sales tax....u would spend 30.06 + 0.07(30.06) = 32.16

so the cost of the groceries before the sales tax is 30.06 <==
6 0
4 years ago
Read 2 more answers
Please Help! Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined,
Licemer1 [7]

Answer:

<u>Given:</u>

  • g(t) = 5t² − 8t + 3

Find the following

<u>g(2)</u>

  • g(2) = 5(2²) - 8(2) + 3 = 20 - 16 + 3 = 7

<u>g(t - 2) </u>

  • g(t - 2) = 5(t - 2)² - 8(t - 2) + 3 = 5t² - 20t + 20 - 8t + 16 + 3 = 5t² - 28t + 39

<u>g(t) - g(2)</u>

  • g(t) - g(2) = 5t² − 8t + 3 - 7 = 5t² − 8t - 4
3 0
3 years ago
Read 2 more answers
Please help I'm failing
AfilCa [17]

Answer:

<em>Unit rate!</em>

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

<u><em>~ LadyBrain</em></u>

3 0
3 years ago
A recipe calls for 1/2 cup ingredient A for every 1 2/3 cups of ingredient B. I use 4 cups of Ingredient A. How many cups of ing
daser333 [38]
1 2/3 times 8 since A is only half
so to make it easier make 2/3 a decimal (.75)
so 1.75*8 =14

6 0
4 years ago
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