Answer: the increase each year is 423 tv sets
Step-by-step explanation:
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[2a + (n - 1)d]
Where
n represents the number of terms in the arithmetic sequence.
d represents the common difference of the terms in the arithmetic sequence.
a represents the first term of the arithmetic sequence.
From the information given,
n = 10 years
a = 1000
S10 = 29035
We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be
29035 = 10/2[2 × 1000 + (10 - 1)d]
29035 = 5[2000 + 9d]
29035/5 = [2000 + 9d]
9d = 5807 - 2000 = 3807
d = 3807/9 = 423
Answer:
y = 4x; there are an infinite number of solutions
Step-by-step explanation:
Both equations describe the same relation between x and y. The system is "dependent", so has an infinite number of solutions. For any value of x, the solution is ...
(x, y) = (x, 4x)
Answer: it is the 4 one
Step-by-step explanation:
4+(-6)/(-2) = 7
5/2+(-3/2)=1
-3/4-5/6 = 1.58
5/8(-3/5) = -3/8
The product of x and 5 can be displayed as 5x
Less than -27 can be displayed as < -27
When we combine those two statements, the following inequality is made.
5x < -27