Triangle EFG has vertices at E(2, 5), F(2, –1), and G(–3, –1). What is the perimeter of triangle EFG to the nearest tenth.
1 answer:
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Answer:
Year 2004
Step-by-step explanation:
Population of a country in year 1995 = 286
Model that expresses the growth rate of the population is,
P(t) =
Here, t = year
a). For P = 311 million people
311 =
log(311) - log(286) = (t - 1995)log(1.009)
2.4928 - 2.4564 = (t - 1995)(0.00389)
t = 1995 + 9.4
t = 2004
In year 2004 population of the country will be 311.
Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
