Answer:
15
Step-by-step explanation:
Answer:
1.08 inches
Step-by-step explanation:
13 / 12 , to keep aspect ratio the same
2x + 5y = -8 . . . (1)
-133x - 4y = -8 . . . (2)
(1) * 4 => 8x + 20y = -32 . . . (3)
(2) * -5 => -665x + 20y = 32 . . . (4)
(3) - (4) => 673x = 0
x = 0
From (1), 2(0) + 5y = -8
5y = -8
y = -8/5
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:
3 41-cent stamps and 8 6-cent stamps
Step-by-step explanation:
I believe she used 3 41-cent stamps (which is $1.23) with $0.48 leftover which we can use $0.06 to get rid of. We need to use 8 of the $0.06 stamps.
