Answer:
7786
Step-by-step explanation:
8753-967
=7786
Answer:
A = $8406.6
Step-by-step explanation:
Given:
Average rate 
Initial cost of painting 
Time 
We need to find the final amount of painting at the end of a 20-year.
Solution:
Using Exponential Growth rate formula as:
----------(1)
Where:
A = Final amount
a = Initial amount.
r = Rate as a decimal.
t = Time.
Now, we substitute all given values in equation 1.


Substitute
in above equation.

A = $8406.62
Therefore, value of the painting at the end of a 20-year A = $8406.6
d) You have a <u>difference of squares</u>:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the <u>sum-product method</u>. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the <u>sum-product method</u>. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)