Answer: Third Option

Step-by-step explanation:
We have the following exponential equation

We must solve the equation for the variable x
To clear the variable x apply the
function on both sides of the equation

Simplifying we get the following:

To simplify the expression
we apply the base change property

This means that:

Then:



Answer:
PV= $3,402.9
Step-by-step explanation:
Giving the following formula:
Future Vale (FV)= $5,000
Number of years (n) 5 years
Interest rate (i)= 8.5% compounded annually
<u>To calculate the initial investment (PV), we need to use the following formula:</u>
PV= FV / (1 + i)^n
PV= 5,000 / (1.085^5)
PV= $3,402.9
<u>Answer:</u>
is changing more quickly.
<u>Step-by-step explanation:</u>
This is because the equation
has a larger slope. The speed of change is determined entirely by the slope; the larger the slope, the faster the line goes up or down. It doesn't matter if it's negative or positive. -29 is the slope of the equation.
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Answer:
-5
Step-by-step explanation:
The equation is in slope intercept form. 
8 replaces b, so it is the y-intercept.
-5 replaces m, so it is the slope.
7x+4y=39 , 2x+4y=15
X-5 and y -1