<u>Answer:</u>
The amount lost over the 3 years s 2567.25£
<u>Explanation:</u>
![$\mathrm{F}=\mathrm{I} \times\left(1-\left(\frac{r}{100}\right)\right)^{\mathrm{n}}$](https://tex.z-dn.net/?f=%24%5Cmathrm%7BF%7D%3D%5Cmathrm%7BI%7D%20%5Ctimes%5Cleft%281-%5Cleft%28%5Cfrac%7Br%7D%7B100%7D%5Cright%29%5Cright%29%5E%7B%5Cmathrm%7Bn%7D%7D%24)
where F = final value after n years
I = initial value of the car in 2017 = £18000 (given)
Since the value is depreciated 5% every year for 3 years,
r = percentage rate of depreciation = 5% (given)
n = 3 years
Substituting these values in formula, we get
![$\mathrm{F}=18000 \times\left(1-\frac{5}{100}\right)^{3}$](https://tex.z-dn.net/?f=%24%5Cmathrm%7BF%7D%3D18000%20%5Ctimes%5Cleft%281-%5Cfrac%7B5%7D%7B100%7D%5Cright%29%5E%7B3%7D%24)
=
![$18000 \times\left(\frac{95}{100}\right)^{3}$](https://tex.z-dn.net/?f=%2418000%20%5Ctimes%5Cleft%28%5Cfrac%7B95%7D%7B100%7D%5Cright%29%5E%7B3%7D%24)
= 15432.75£ which is the value of the car after 3 years
Finally 18000-15432.75 = 2567.25£ is the amount lost over this period.
LETS prove the 2nd part of the Question
Here concept of right angles is used
We can see BA is perp to BD
and BC is perp to BE
We have to prove angle 1 = angle 3
i will denote angle by a
therefore we need to prove a1 = a3
as BA is perp to BD hence angle between them will be 90 degree
a1 + a2 = 90 degree
Similarly BC is perp to BE
a2 + a3 = 90 degree
as both equations add up gives 90 degree so will equate them
a1 + a2 = a2 + a3
which means a1 = a3
Hence Proved
To learn more about Right Angles:
brainly.com/question/7116550
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Answer:
x > 7
Step-by-step explanation:
- 7m + 4 < - 45 ( subtract 4 from both sides )
- 7m < - 49
Divide both sides by - 7 , reversing the symbol as a result of dividing by a negative quantity.
m > 7
These | | simple mean absolute value. Absolute value is simply the number positive, for example, the absolute value of -3 is simply 3
Answer: We are supped to solve for y so it will be division because that's the inverse for x. so: x/4 is your answer.