Question

In the xy-plane, the point (a, 2b) lies on the line with equation y = 2x + b, and the point coordinates (2a, B) lies on the line with equation y = 3x - b. What is the value of b?

​

Answer 1

Step-by-step explanation:

We can write the first part of this problem as: What is 6.5% of $29,990.

"Percent" or "%" means "per 100" or "out of 100". Therefore

6.5

%

can be written as

6.5

100

.

When dealing with percentages the word "of" means the product of or to multiply.

Let's call the sales tax amount we are looking for

s

.

We can now write the problem as:

s

=

6.5

100

×

$

29990

s

=

$

194935

100

s

=

$

1949.35

The sales tax on the car is: $1,949.35.

The total price of the car is then:

$

29

,

990.00

+

$

1

,

949.35

=

$31,939.35