Are you sure that is the correct sequence?
dy/dx=2,4,8,12,24
d2y/dx2=2,4,4,12
d3y/dx3=2,0,8
d4y/dx4=-2,8
So there is no constant rate of change so we cannot be certain what order of equation would continue the sequence accurately...
We COULD make d5y/dx5=10 so we COULD make a fifth order equation to create that sequence, however there is no way that we can prove that it is valid beyond the data points given...ie, there is no way to prove what the next term after 62 is.
If you wish to solve for that fifth order forced fit you can set up a system of equations of the form an^5+bn^4+cn^3+dn^2+en+f=a(n) using all of your points (n, a(n))
Answer:
Constraint 2: 3X1 + 3X2 ≤ 480
Step-by-step explanation:
Less than/equal to 300, would satisfy this one
Answer:
total interest earned = $230
percent interest for the total deposited = 5.75%
Step-by-step explanation:
Account 1 : deposited = $1,000 with interest 2%/year
Account 2 : deposited = $3,000 with interest 7%/year
Interest account 1 = 2% x $1,000 = $20
Interest account 2 = 7% x $3,000 = $210
Total interest earned = 20 + 210 = $230
Total interest earned = Percent interest x Total deposited
230 = Percent interest x (1,000+3,000)
230 = Percent interest x 4,000
230 : 4000 = Percent interest
Percent interest = 230 : 4000 = 0.0575 = 5.75%
Step-by-step explanation:
after 4 hours, the water level decreased by 8 feet
which is -8
Therefore -8/4 = -2 change in water level every hour
Answer:
$55.2
Step-by-step explanation:
60*8=480
480/100=4.8
60-4.8=55.2