Question

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?

Answer 1

Answer:

(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

⇒   =$\dfrac{85}{100}\times 1000\\\\=85\times 10\\\\=850$

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:

$85\%\times 5000\\ \\=\dfrac{85}{100}\times 5000\\\\=4250$

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:

$85\%\times 5020\\ \\=\dfrac{85}{100}\times 5020\\\\=4267$

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

$4267.