Answer:y is the variable
Step-by-step explanation:a variable is a letter in an algebraic equation or expression
We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function: 
where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form 
, where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function with standard decay function , we can see that 
.
Let us solve for r.
Let us convert 0.24 into percentage.
Therefore, the decay rate is 24%.
I'm not sure if that is supposed to be 7 or -7
If it's -7:
1<2n-5<-7
+5 +5 +5 Add 5 to all parts of the inequality get 2n by itself
6<2n<-2
/2 /2 /2 Divide all parts by 2 to isolate the variable
3
Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
The way to work out how much each person gets is to find out how much one part is worth.
We can do this by adding the ratio (1:2) which gives us 3.
Divide £120 by 3 parts and you get £40 as one part.
Because the ratio is one part : two parts, Matt gets £40 and Cat gets £80.
