Answer:
Step-by-step explanation:
The answer is 0
If allison buys 80 packs of meat for the picnic and 5 of those slices in each pack are turkey she would end up with 400 slices of turkey.
Current amount in account
P=36948.61
Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n
Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11
We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000
We can solve this by trial and error.
The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000. It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.
So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.
So it takes 15.00 years to reach the goal of 280000 years.
Her walking pace would be 8/5. It is a improper fraction so it would have to be changed to a mixed number! hope this helps
The equation describing the situation is given by
y - 0 = (5 - 0)/(47.5 - 0) (x - 0)
y = 5/47.5 x
y = 2/19 x
Therefore, it will require 19(11)/2 = 104.5 minutes to jog 11 miles.
