Answer:
a
Step-by-step explanation:
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.
Answer:
Make Width = 'x'
Length = 4 + 2x
Perimeter = 2 x Width + 2 x Length
86 = 2(x) + 2(4 + 2x)
86 = 2x + 8 + 4x
Collect like terms:
2x + 4x = 86 - 8
6x = 78
x = 13
Width = 13 cm
Length = 30 cm
Step-by-step explanation:
Answer:
1.74 pounds
Step-by-step explanation:
2.65 + 1.85 + 2.46 = 6.96/4 = 1.74lbs.
Answer:
X =2 Y= 10
Step-by-step explanation:
EF ~ BC 8/20= 0.4 AB~DE 15*0.4 =6 6-4 = 2
AC~DF 25*0.4 = 10
