Carlos purchased a leather sofa four years ago for $1,500.00. Since he purchased it, its value has been decreasing by 30% per
year.
A. Find the missing values for the table shown.
B. Explain how you found each of the missing values in the table.
Carlos purchased it. Then
C Write an expression in the form a(b) that represents the value of the sofa in dollars t years
est your expression for t=0,1,2,3, and 4. Show your work.

A) Table:

Value of the sofa in dollars:

Year       Value

   0         $1,500

   1         $1,050

   2        $735

   3        $514.50

   4        $360.15

B) Multiply successively by 0.70

C)    : see the tests below

Explanation:

A) Find the missing values for the table shown

Although the table was not provided with the question, you can create a complete table from the supplied information.

Table: value of the sofa

Year     Value

   0        $1,500

   1             A

   2            B

   3            C

   4            D

Then, determine the missing values, i.e. A, B, C, and D

Notice that 30% is 0.30 and a reduction in the value is determined by mutiplying the starting value by 1 - 0.3 = 0.7.

Thus, once completed the table would be:

Year       Value

   0         $1,500

   1         $1,050

   2        $735

   3        $514.50

   4        $360.15

B. Explain how you found each of the missing values in the table.

I multiplied successively by 0.70 which is the constant decaying rate of the function.

C. Write an expression in the form that represents the value of the sofa in dollars t years after Carlos purchased it. Then test your expression for t = 0, 1, 2, 3, and 4.

Thus, the expression is:

Test it for t = 0, 1, 2, 3, and 4:

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%