The first five terms of the sequence are; 4,600, 4,550, 4,500, 4,450, 4,400 and the total predicted number of sold cars for the first year is 51,900 cars
<h3>Arithmetic sequence</h3>
- First month, a = 4,600 cars
- Common difference, d = -50 cars
First five terms;
a = 4,600
a + d = 4600 + (-50)
= 4600 - 50
= 4,550
a + 2d
= 4600 + 2(-50)
= 4600 - 100
= 4,500
a + 3d
= 4,600 + 3(-50)
= 4,600 - 150
= 4,450
a + 4d
= 4600 + 4(-50)
= 4,600 - 200
= 4,400
cars predicted for the twelfth month.
a + 11d
= 4600 + 11(-50)
= 4600 + 550
= 4,050
Total predicted number of sold cars for the first year:
Sn = n/2{2a + (n - 1)d }
= 12/2{2×4600 + (12-1)-50}
= 6{9200 + 11(-50)}
= 6(9,200 - 550)
= 6(8,650)
= 51,900 cars
Learn more about arithmetic sequence:
brainly.com/question/6561461
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Answer:
The system of equations is
and
Fred's age is 36 years old and Nathan's age is 9 years old
Step-by-step explanation:
Let
f -----> Fred's age
n ----> Nathan's age
we know that
-----> equation A
----> equation B
equate the equations and solve for n
Find the value of f
therefore
Fred's age is 36 years old and Nathan's age is 9 years old
6x-3-9x-2
6x-9x = -3x
-3-2 = -5
the the equation is: -3x-5
Answer: The second piece can weigh 256 pounds at most.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:
x + 325 ≤581
Where x is the second piece's weight.
Solving for x:
x ≤581 -325
x ≤ 256
The second piece can weigh 256 pounds at most.
Feel free to ask for more if needed or if you did not understand something.
To simplify 14^(5x+2)<11(4x-1)
x < -2.130032
