Answer:
Step-by-step explanation:
Given
Liam deposited 
Rate of interest is 
If the amount after t years is 
Simple interest is given by

And amount is


Substituting values we get





Answer:
Step-by-step explanation:
The goal to solving any equation is to have x = {something}. That means we need to get the x out from underneath that radical. It's a square root, so we can "undo" it by squaring. Square both sides because this is an equation. Squaring both sides gives you

Get everything on one side of the equals sign and set the quadratic equal to 0:

Throw this into the quadratic formula to get that the solutions are x = 5 and -8. We need to see if only one works, both work, or neither work in the original equation.
Does
?
and

and 5 = 5. So 5 works. Let's try -8 now:
and
so

-8 = 8? No it doesn't. So only 5 works. Your choice is the third one down.
Answer:
1,164 in²
Step-by-step explanation:
the area of 1 sofa cushion =
2× ( 10×11 + 10×4 + 11×4)
= 2 × (110+40+44)
= 2×(194)
= 388 in²
the fabrics she needs to cover 3 sofa cushions =
3 × 388 = 1,164 in²
Answer:
4th option because the two negatives will become positive and the 3rd will make it negative again
Answer:

⇒
[Factorized form]
Step-by-step explanation:
Given expression:

We need to make
the subject.
In order to do that we need to solve the expression for
in terms of
and 
We have,

Subtracting both sides by 


Taking square root both sides in order to remove square of 


The difference of squares can be factorized and written as:
[difference of squares
]