Dan buys a car for £2,200 it depreciates at a rate of 0.5% per year how much would it be worth in 6 years ​

Given:

The initial value of car = £2,200

Depreciation rate = 0.5%

To find:

The worth of car after 6 years.

Solution:

Exponential decay model:

Where, a is the initial value, r is the rate of depreciation and t is number of years.

Putting a=2200, r=0.005 and t=6, we get

Therefore, the worth of the car after 6 years is £2134.82.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°