The value of a new car decreases by about 15% in the first year. how much will a car be worth after one year if its initial value was $1,000? $5,000? $5,020? dollars?

(a)

$850.

(b)

$4250.

(c)

$4267.

Step-by-step explanation:

It is given that the value of a new car decreases by about 15% in the first year.

(a)

Now we are asked to find the cost of a car after one year; if we are given the initial value of car=$1000.

As the rate decreases by 15%.

that means we have to pay (100-15)% of the initial amount.

i.e. we have to pay 85% of the initial amount.

Hence the amount one has to pay= 85% of 1000.

which is equal to =85%×1000

⇒   =

Hence, the amount of car after one year when initaial amount is $1000 is:

$850.

(b)

if initial amount=$ 5000

then amount one has to pay after one year:

Hence, the amount of car after one year when initaial amount is $5000 is:

$4250.

(c)

if initial amount=$ 5020

then amount one has to pay after one year:

Hence, the amount of car after one year when initaial amount is $5020 is:

$4267.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2