Answer:
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Answer:
The worth of the car after 6 years is £2,134.82
Step-by-step explanation:
The amount at which Dan buys the car, PV = £2200
The rate at which the car depreciates, r = -0.5%
The car's worth, 'FV', in 6 years is given as follows;
![FV = PV \cdot \left ( 1 + \dfrac{r}{100} \right )^n](https://tex.z-dn.net/?f=FV%20%3D%20PV%20%5Ccdot%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7Br%7D%7B100%7D%20%5Cright%20%29%5En)
Where;
r = The depreciation rate (negative) = -0.5%
FV = The future value of the asset
PV = The present value pf the asset = £2200
n = The number of years (depreciating) = 6
By plugging in the values, we get;
![FV = 2200 \times \left ( 1 + \dfrac{-0.5}{100} \right )^6 \approx 2,134.82](https://tex.z-dn.net/?f=FV%20%3D%202200%20%5Ctimes%20%5Cleft%20%28%201%20%2B%20%5Cdfrac%7B-0.5%7D%7B100%7D%20%5Cright%20%29%5E6%20%5Capprox%202%2C134.82)
The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))
Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
Answer:
The slope is 3.
Step-by-step explanation:
Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.
Let's use the last 2 points in the table: (1, 7) and (2, 10)
![\frac{y_{2} - y_{1} }{x_{2} - x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%20%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%20%7D)
= ![\frac{10 - 7}{2 - 1}](https://tex.z-dn.net/?f=%5Cfrac%7B10%20-%207%7D%7B2%20-%201%7D)
= ![\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7D)
The slope of this function is 3!
Hope this helps :) Feel free to ask me any questions!
Answer:
$25
Step-by-step explanation:
c=30−(0.25)(20)
c=30+(−5)
c=(30+(−5)
30-5
Combine Like Terms
c=25