Answer:

Step-by-step explanation:
Given
-- initial

Required
The exponential equation
The exponential equation is

Where

We used minus, because the rate decreases..
So, we have:



So:


Hence:

Answer:
<em>4.9 - 4n</em>
Step-by-step explanation:
Given the expression;
2.4 - 5.5 -4n + 8?
Collect like terms;
2.4 - 5.5 -4n + 8?
2.4 - 5.5 + 8-4n
-3.1 + 8 - 4n
<em>4.9 - 4n</em>
<em></em>
<em>Hence the simplified form of the equation is 4.9 - 4n</em>
Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1
Hope this helped! Let me know if you have any questions.
- Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant
So firstly, using our equation plug in the values into the discriminant formula and solve as such:
(-7)² - 4 × 3 × 4
49 - 48
1
So our discriminant is 1. <u>Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.</u>