If a tuning fork vibrates at 120 times per second, how long does it take for 1 vibration?
1 answer:
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Answer:
$95.5090 must be deposited monthly
Step-by-step explanation:
From the information given:
The annual interest rate (r) = 4.2% = 0.042
Let assume that an amount Y is deposited, then after one month, it will increase to:
The total amount after 4 years will be:
Using the sum of a geometric progression:
The above amount is then equal to $5000
i.e
Let's let
<u>x = the number of chef salads, x>=0</u>
<u>y = the number of Caesar salads, y>=0</u>
The constrains are:
40 <= x <= 60
35 <= y <= 50
x + y <= 100
The objective function here is F(x, y) = 0.75x + 1.20y
The corner points are (40, 35), (60, 35), (60, 40), (50, 50) and (40, 50).
F (40, 35) = 0.75*40 + 1.20*35 = $72
F (60, 35) = 0.70*60 + 1.20*35 = $84
F (60, 40) = 0.75*60 + 1.20*40 = $93
F (50, 50) = 0.75*50 + 1.20*50 = $97.50
F (40, 50) = 0.75*40 + 1.20*50 = $90
Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.
