<span>Let x = represent the number of weeks of deposits
A = 120 + 5x the account balance after x weeks
The account balance is directly proportional to the number of weeks of deposits if:
A/x = constant
(120 + 5x)/x = 120/x + 5 is not a constant
For example:
After 1 week there will be: 120 + 1*5 = $125 on the account
After 2 week there will be: 120 + 2*5 = $130 on the account
After 3 week there will be: 120 + 3*5 = $135 on the account
But 125/1 <> 130/2 <> 135/3
The account balance is not proportional to the number of weeks of deposits.</span>
Answer:
3^4 / 8^2 or 81/64
Step-by-step explanation:
(-8)^-2 / 3^-4 =
= 3^4 / (-8)^2
= 3^4 / 8^2
= 81/64
Problem 13
10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get
10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q
so we get the original expression again. Here 10 is the GCF of the two terms.
--------------------------------------------------------------
Plug p = 1 and q = 2 into the factored form
10*(p+q) = 10*(1+2) = 10*(3) = 30
As a check, let's plug those p,q values into the original expression
10*p+10*q = 10*1+10*2 = 10+20 = 30
We get the same output of 30
They are already rounded but 20% and 30% should be correct.
