First to Answer:
6/7 > 5/8 is a true statement.
Answer:
D.252
Step-by-step explanation:
In this question, We have to find which rotation about its center will carry a regular decagon onto itself?
A decagon : 10 sided polygon
As we know, a full rotation can be 360°.
For a decagon: 360/10 =36
For a decagon, any multiple of 36 can map onto itself.
In our options only 252 is the multiple of 36.
So, correct answer is option D 252
Answer:
13 hours
Step-by-step explanation:
Since Shawn mows lawns at a rate of 5 dollars an hour, if he mows for t hours, he earns 5t dollars. Also, he gets 10 dollars weekly allowance from his parents. Thus, the total amount he earns per week is thus 10 + 5t.
Since he needs to earn enough to buy 75 dollars pair of basketball shoes, the amount he earns must equal the price of the shoes. So,
10 + 5t = 75
We now solve for t to find the amount of hours if takes him to earn enough to buy the shoes.
So,
10 + 5t = 75
Subtracting 10 from both sides, we have
10 - 10 + 5t = 75 - 10
5t = 65
dividing both sides by 5, we have
t = 65/5
t = 13 hours
So, it takes Shawn 13 hours to earn enough to buy the shoes.
To solve this, we are going to use the recursive formula for a geometric sequence:

where

is the nth term of the geometric sequence.

is the first term of the geometric sequence.

is the common ratio

is the position of the term in the sequence.
We know that the starting salary is $42,000, so

. Now, to find the common ratio

, we need to find the next term in the sequence first:
We know from our problem that t<span>he company automatically gives a raise of 3% per year, so the next term in the sequence will be 42000 + 3%(42000) = 42000 + 1260 = 43260. Remember that the common ratio is the current term of the geometric sequence divided by the previous term of the sequence; we know that our current term is 43260 and the previous term is 42000, so:
</span>


<span>Now we can plug the values in our recursive formula:
</span>


We can conclude that the recursive definition for the geometric sequence formed by the salary increase is:
Answer:
i thinkt he answer would be 67
Step-by-step explanation: