Answer:
c and d
Step-by-step explanation:
3 x 3 = 1
25/25 = 1
any value multiplied by 1 remains itself
formula is 
where A=final amount
P=principal
r=interest rate in decimal
n=number of times per year it is compounded
t=time in years
we want to find where
A=2P
and P=5745
and r=6.5%=0.065
n=monthly=12
remember that 
also that 
, solving for t
divide both sides by 5745 to simplify things a bit
I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

take ln of both sides


divide both sides by 

using our calculator, t≈10.6927
so rounded, we get 10.7 years
Problem 33
For each number, generate a factor tree. This is where you break a number down into smaller factors in a visual "tree" like style. The idea is to factor down to the prime factors and then you circle the common primes between each number. The values you circle are then multiplied if you circle more than one value in each tree.
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Problem 34
Xiao factored correctly but didn't pull out the GCF. So he didn't factor fully. In the case of 60 and 90, the GCF is 30. This is the largest shared factor between the two values. So we can pull out 30 to get
60+90 = 30*2+30*3 = 30*(2+3)
I'm basically using the distributive property in reverse. You can distribute the 30 back in and get 60+90 again. Notice how the inner stuff 2 and 3 have no factors in common other than 1.
You have 2y=3x-1 and 4y=6x-2. first step is to get the y by itself . first equation you divide everything by 2 which gives you the equation: y= 3/2x-1/2
or y= 1.5x-.5, for the second equation you divide everything by 4, which gives you y=6/4x-2/4 (1/2) or y=1.5-.5. both equations are equal to one another:
the answer is therefore C Infinitely many solutions.