Answer:
Step-by-step explanation:
Let the number of acre of corn planted =x
Let the number of acre of soybeans planted =y
Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.
- Seed Cost for x acre of corn = $40x
- Seed Cost for y acre of soybeans = $32y
The farmer wants to spend no more than $5,000 on seed.
Therefore the linear inequality is:
Next, we graph the inequality
The graph is attached below.
Answer:
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Cost of the TV set in 1999 = US$ 400
Annual increase rate = 2% = 0.02
2. Write an exponential model to represent this data.
Cost after n years = Cost in 1999 * (1 + r)ⁿ
where r = 0.02 and n = the number of years since 1999
Replacing with the real values for 2020, we have:
Cost after 21 years = 400 * (1 + 0.02)²¹
Cost after 21 years = 400 * 1.5157
Cost after 21 years = $ 606.28
The TV set costs $ 606.28 in 2020.
<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>
Answer:
x = 17.5
Step-by-step explanation:
5/8 = x/28
=> 5(28) = 8x
=> 140 = 8x
=> 8x = 140
=> x = 140/8
=> x = 70/4
=> x = 35/2
=> x = 17.5
Answer:
x ≤ 7
Step-by-step explanation:
(2x-4) + 110 ≤ 120
Combine like terms
2x +106 ≤ 120
Subtract 106 from each side
2x+106 -106 ≤ 120-106
2x ≤ 14
Divide each side by 2
2x/2 ≤ 14/2
x ≤ 7
This expression is equivalent (9+3)4
