Step-by-step explanation:
A) In order to calculate the interest , we can use the following formula :

Where P is the interest , P0 is the initial value, i is the interest and t is the time.
So , using P0 =600,i= 0.0005768 and t=27 ,we have :

Calculating only the interest, we have :

So the interest is $9.41.
B) He paid the final value calculated above, that is , $609.41.
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Answer:
Ellen will pay $16.22 for the book.
Step-by-step explanation:
Part 1:
We know that the book Ellen wants to buy has a normal price of $18. However, there is a 15% discount. So, let's calculate 15% of $18.
18 x 0.15 = $2.70
This lets us know that there is a $2.70 discount.
Now, let's subtract the discount from the regular price.
18 - 2.70 = $15.30
So, now we know the discounted price is $15.30
Part 2:
We also know that Ellen has to pay 6% sales tax. The discounted price is 100% of the price, plus 6% is 106%. Let's calculate the tax to figure out the total amount.
15.30 x 1.06 = $16.22 when rounded to the nearest cent.
Therefore, Ellen will pay the total amount of $16.22.
Answer: OPTION B
Step-by-step explanation:
The equation of a line that passes through the origin is the following:

Where "m" is the slope of the line.
By definition, Proportional relationships have the following form:

Where "k" is the Constant of proportionality.
Then, as you can notice, if you graph a Proportional relationship you will get a line that passes through the origin.
Therefore, based on the explained above, you can conclude that the option that shows a function that represents a Proportional relationship is the Option B.
Then, this is:
