Answer:
1) after 4 weeks, Lin has more with $65
2) after 3 weeks they both have same amount
Step-by-step explanation:
let 'w' = number of weeks
1) <u>equation for Han</u>: y = 100 - 15w
y = 100 - 15(4)
y = 100 - 60
y = $40 after 4 weeks
<u>equation for Linn</u>: y = 25 + 10w
y = 25 + 10(4)
y = 25 + 40
y = $65 after 4 weeks
2) 100 - 15w = 25 + 10w
75 - 15w = 10w
75 = 25w
w = 3 weeks
9514 1404 393
Answer:
- 69
- 100
- -24
- 1/729
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic. Your calculator can help.
1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69
__
2. add 16 to find x.
x -16 = 29
x = 45
Then do the substitution:
2(45 +5) = 2(50) = 100
__
3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24
__
4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729
The minimum cost option can be obtained simply by multiplying the number of ordered printers by the cost of one printer and adding the costs of both types of printers. Considering the options:
69 x 237 + 51 x 122 = 22,575
40 x 237 + 80 x 122 = 19,240
51 x 237 + 69 x 122 = 20,505
80 x 237 + 40 x 122 = 23,840
Therefore, the lowest cost option is to buy 40 of printer A and 80 of printer B
The equation, x + 2y ≤ 1600 is satisfied only by options:
x = 400; y = 600
x = 1600
Substituting these into the profit equation:
14(400) + 22(600) - 900 = 17,900
14(1600) + 22(0) - 900 = 21,500
Therefore, the option (1,600 , 0) will produce greatest profit.
Answer:
2
Step-by-step explanation:
5=2x+1 4=2x 2=x
