**Answer: **D

**Step-by-step explanation: **You just have to substitute the numbers for the variable in each equation till you get the right one. Sorry, but I don't remember the formula for it.

You can see graph of the function

in the first picture. Now to find its inverse, we are going to switch

and

in our function, and then solve for

Remember that every time that you take a square root, you will have tow results: one positive and one negative. Therefore, our function

will have tow inverses:

and

.

In the first picture you can see the graph of the original function; in the second one the graphs of its inverses, and in the third one all the graphs together. Notice that our original function is a quadratic function, and quadratic functions don't have inverse functions unless their domains are restricted.

**Answer:**

**$11267**

**Step-by-step explanation:**

Loan Future value = amount borrowed + interest

Amount borrowed = 9500

Interest = Principal * Rate * Time/100

Interest = 9500*9.3 * 2/100

Interest = 95*9.3 * 2

Interest = $1767

Loan Future amount = 9500 + 1767

**Loan Future amount = $11267**

9514 1404 393

**Answer:**

y = 0.2·0.5^x

**Step-by-step explanation:**

The form of an exponential function is ...

y = a·b^x

If you look at the values of this for x=0 and x=1, you find ...

<u>For x=0</u>

y = a·b^0 = a·1 = a

The table tells us the corresponding value of y is 0.2, so ...

a = 0.2

<u>For x=1</u>

y = a·b^1 = ab

For the given value of a and the table value of y for x=1, we have ...

0.1 = 0.2·b

b = 0.1/0.2 = 1/2 = 0.5

Then the exponential function that describes the table is ...

** y = 0.2·0.5^x**