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:
300a + 450b ≤ 6000
Step-by-step explanation:
Given:
Cost of electric mower = $300
Cost of gas mower = $450
Total number of mower = 25
Cost of total mower is at least = $6,000
Find:
Number of each mower equation
Computation:
Number of electric mower = a
Number of gas mower = b
So,
Equations
a + b ≤ 25 ........ Equation 1
300a + 450b ≤ 6000 ....... Equation 1
