Answer:
The Distance Formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2 where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).
Step-by-step explanation:
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With the help of the given equation, we know that the automobile is worth $12528.15 after four years.
<h3>
What are equations?</h3>
- A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
- a formula that expresses the connection between two expressions on each side of a sign.
- Typically, it has a single variable and an equal sign.
- Like this: 2x - 4 Equals 2.
- In the above example, the variable x exists.
So, the equation of depreciation: y = A(1 - r)∧t
The current value is y.
A is the initial cost.
r is the depreciation rate.
t is the time in years, and
In four years, we must ascertain the present value.
Now,
y = $24000(1 - 0.15)⁴
y = 24000(0.85)⁴
y = 24000 × 0.52200625
y = 12528.15
Therefore, with the help of the given equation, we know that the automobile is worth $12528.15 after four years.
Know more about equations here:
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Complete question:
The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $
Answer:
(1,4)
x= 1
y= 4
(I checked on desmos and this is correct)
Step-by-step explanation:
I'm going to solve this by substitution
To do this we need to get a variable by istelf in any equation
We'll start with 18x-2y=10
We can add 2y and divide by 2 to get
y=9x-5
This is what y will equal for now and we can plug this in for y in the second equation
3x+16(9x-5)=67
This is rather easy to solve
147x-80=67
147x=147
this means that x=1
We can then use this value for x and plug it into any equation
let's just do the first one
18*1-2y=10
This is easy to solve as well and you should get
-2y=-8
y=4
this means that x=1
y=4
1.7 times 10 to the 9 power
1.52 times10 to the 8 power
