We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:
Since she donates $2 for each return that she files, therefore, we can set up:
Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.
Answer:
The cost function for 
is 
.
Step-by-step explanation:
The marginal cost function (
) is the derivative of the cost function (
), then, we should integrate the marginal cost function to find the resulting expression. That is:
Where:
- Fixed costs, measured in US dollars.
If we know that and 
, then:
The cost function for is .
A geometric shapes that can be used to create a logo that will fit in a measuring 15 cm by 15 cm is to use a square.
<h3>What are geometric shapes?</h3>
It should be noted that geometric shapes are the figure of area that is closed by a boundary.
In this case, a geometric shapes that. an be used to create a logo that will fit in a measuring 15 cm by 15 cm is to use a square.
This is because all the sides in a square are equal.
Learn more about shapes on:
brainly.com/question/25965491
#SPJ1
Answer:
The third one
Step-by-step explanation:
This is a problem dealing with probability. First of all, you pick a marble, at random, from three marbles. It stands to reason then that the likelihood of you picking any specific marble is a 1 in 3 chance, or 1/3.
Then you flip a coin. There are only two possible outcomes here, so the chance of the coin landing on any particular side is a 1 in 2 chance, or 1/2.
You then multiply these probabilities by each other to come out with a 1/6 probability of getting any specific outcome, meaning that there are <u>6 possible outcomes</u>
Now there might be some confusion to as why I multiplied the probabilities together and as to why this works. If I may, allow me to alleviate any confusion.
If one thinks about it, it makes perfect sense why it should work. If you pick the green marble the option remains that you will either flip heads or tails. Hence, via picking the green marble you are left with two possible outcomes.
This remains true for the blue and the yellow marble, picking either will still leave you with two outcomes, giving 6 outcomes all together.
Hope this helps :)
