Answer:
D. 1.2
Step-by-step explanation:
The sum of an arithmetic sequence is the product of the average term value and the number of terms.
The average term is often computed by averaging the first and last terms of the sequence. It can also be computed by averaging the middle two terms of the sequence (when there are an even number of terms, as here).
We are given a_13 is 1.9. We know that a_12 is 3.7 less, so is -1.8. Then the average of these two middle terms is ...
... (-1.8 + 1.9)/2 = 0.05
The product of this value and the number of terms (24) is ...
... 24·0.05 = 1.2 . . . . . the sum of 24 terms of the sequence
Answer: I believe that the answer would be "In an isosceles triangle, two of the angles are congruent."
Step-by-step explanation:
Ones place: 9
Tens place: 9
Hundreds place: 6
Thousands place: 4
Ten thousands place: 3
Which is 34,699
Now that we know 3 is in the ten thousand's place.
So then go from 3, and jump too 4. If the number is higher then 5, the 3 would become a 4. If the number is lower then 5, 4 would become a 0 and so will the rest of the number's too the right.
34,699 ---> 30,000
That being said, the answer is 30,000!
I hope this help's! :)
-LizzyIsTheQueen
Answer:
Step-by-step explanation:
Let the age be xy or 10x + y.
Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:
- (10y + x)/3 + 20 = 10x + y
- (10y + x)/3 = 10x + y - 20
- 10y + x = 3(10x + y - 20)
- 10y + x = 30x + 3y - 60
- 30x - x + 3y - 10y = 60
- 29x - 7y = 60
We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.
Possible options for x are:
- 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,
and
- 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.
So x can be 3 or 4.
<h3>If x = 3</h3>
- 29*3 - 7y = 60
- 87 - 7y = 60
- 7y = 27
- y = 27/7, discarded as fraction.
<h3>If x = 4</h3>
- 29*4 - 7y = 60
- 116 - 7y = 60
- 7y = 56
- y = 8
So the age is 48.
Answer:
$35.13
Step-by-step explanation:
monthly payment = (cost - down payment) / number of month
(975 - 132) / 24 =
843/24= 35.13
