Increases by 3 each time
aritmetic sequence, firsrt term is 34, 3=common differnce
an=a1+d(n-1) is da formlua
a1=first term
d=common differnce
an=34+3(n-1)
so 32n'd term is
a32=34+3(32-1)
a32=34+3(31)
a32=34+93
a32=127
the 32nd term is 127
3 gallons in 15 seconds would be 3/15
so for 1 gallon 15/3 = 5
it would be 1 gallon every 5 seconds so 1/5
If the brackets need to be a square term of the form (x+h)^2
then
just half the co-efficient of x term and square it.
So here it will be
(-6)/2 = -3
squaring it, (-3)^2 = 9
so 9 is what goes in the blank to make the bracket () of the form (x+h)^2
2x + 9 = 35
-9 -9
2x = 26
x = 13
The amount in the passbook account is $11,000 and the money in the money market account is $8000
Let:
a represent the unknown amount in the passbook account
b represent the unknown amount in the money market account
From the question, the following information can be gathered:
- The money in the passbook account exceeds the amount in the money market account.
This information can be represented with this equation : a - b = 3000
- The interest paid on the passbook account exceeds the interest paid on the money market account.
This information can be represented with this equation : 0.08a - 0.10b = 80
The two equations gotten above would be solved using simultaneous equation and the elimination method
a - b = 3000 equation 1
0.08a - 0.10b = 80 equation 2
Multiply equation 1 by 0.08
0.08 - 0.08b = 240 equation 3
Subtract equation 2 from 3
0.02b = 160
Divide both sides of the equation by 0.02
b = 8000
Substitute for b in equation 1
a - 8000 = 3000
Add 8000 to both sides
a = 11,000
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
