Answer:
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Answer:
21
Step-by-step explanation:
Because h(3) times h(7) is equal to 21.
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9514 1404 393
Answer:
b. 9 inches
Step-by-step explanation:
The area of a triangle is given by ...
A = 1/2bh
Solving for h, we get ...
h = 2A/b
h = 2(36 in²)/(8 in) = 72/8 in
h = 9 in
The height of the triangle is 9 inches.
Answer:
452.39 mi^2
Step-by-step explanation:
A = πr^2
A = π (12mi)^2
A = 452.39 mi^2
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This exponential growth/decay (in this case decay because r<1) of the form:
f=ir^t, f=final value, i=initial value, r=common ratio or "rate", t=time.
Since the population decreases by 4.5% each year the common ratio is:
r=(100-4.5)/100=0.955 so we can say
P(t)=8500(0.955^t)
....
7000=8500(0.955^t)
14/17=(955/1000)^t taking the natural log of both sides
ln(14/17)=t ln(955/1000)
t=ln(14/17)/ln(955/1000)
t≈4.22 years (to nearest hundredth of a year)
Since t is the years since 2010, the population will fall to 7000 in the year (2010+4.22=2014.22, more than four years will have elapsed) 2015.