Here is what you have to take into account:
The first thing you need to do is to take the 1,500$ and then divide it by 3. That will give you 500. After that you need to add 500 to the original 1500 and it should give you 2000$. The answer is <span>500 if you only are looking for the bonus and 2000 if you want the total bonus. </span>
Carson needed pencil and erasers, but the total amount can not be over 40. Pencils were $4 and erasers were 5$. How much pencils and erasers can he buy without spender over $80
An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).
The explicit formula for an arithmetic sequence is 
, where a is first term of sequence, d is the common difference between consecutive terms.
A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.
Therefore, we can see that Julio's training schedule is an arithmetic sequence.
B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.
Let us substitute our given information in above formula.
We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.
Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.
<h3>
Answer: x = 14</h3>
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Explanation:
The same tickmarks on each side of the triangle tells us that all three sides are the same length. This triangle is equilateral.
All equilateral triangles have each of their three angles at 60 degrees (they are considered equiangular). This is because 60+60+60 = 180.
Set 2x+32 equal to 60 and solve for x
2x+32 = 60
2x = 60-32
2x = 28
x = 28/2
x = 14
As a check,
2x+32 = 2*14+32 = 28+32 = 60
which helps confirm the answer.
Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.
Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.
This is a combination problem. The formula would be:
12! / (8! x 4!) = 495
