1)
A has a greater principal
2)
Principal of A is $500, the principal of B is $400, so A's principal is greater by $100
3)
Annual interest rate of A:
10/500 x 100
interest rate of A = 2%
The interest rate of B is higher.
4)
B's annual interest rate is 5% and A's annual interest rate is 2%, so B's is higher by 3%.
Y² + 8y - 33 :
Break the expression into groups for formula ax²+ bx+c :
= (y²- 3y) + (11y - 33 )
Factor y from y² - 3y => y (y - 3)
Factor out 11 from 11 y - 33 => 11 (y - 3)
= y ( y- 3 ) + 11 ( y - 3 )
Factor out common term (y - 3 ) :
= ( y - 3 ) ( y + 11 )
hope this helps!
Given:
Five less than three-fourths of an integer is the same as five more than one-eighth of the same integer.
To find:
The integer.
Solution:
Let x be the unknown integer.
So, according to the question,
Multiply both sides by 8.
![5x=80](https://tex.z-dn.net/?f=5x%3D80)
Divide both sides by 5.
![x=\dfrac{80}{5}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B80%7D%7B5%7D)
![x=16](https://tex.z-dn.net/?f=x%3D16)
Therefore, the required integer is 16 and your equation
is incorrect.
Answer: (b) Provide hints on what the teacher thinks is important
Explanation: Clearly, the teacher selects what to ask in the tests, and it is plausible to think that (s)he will select problems that they deem important.
The teacher will know that students look at past tests, and so they will tend to change the wording and values in the tests to prevent plagiarism, so (a) is not the right choice.