Answer:
r= -6
Step-by-step explanation:
expand and get
5r+45-2+2r=1
7r+43=1
7r=1-43
7r=-42
r=-6
<span>When you have an equation of the form y = mx + b (which you do in this case), the slope is always equal to the coefficient of x, which is m or 12 in this case. Since there is no "b" in your equation, you could say that b=0, and the line is known to cross the y axis at zero.
In case you are interested, if the equation said y = 12 x + 3 the slope of the line would still be 12 but the line would cross the y axis at 3. If the equation said y = 12x -4, the line would have a slope of 12 and would cross the y axis at -4.</span>
To write an equation and simplify it, I'll start with this:
$4,500 = $90 + $39X Let X represent the amount of people attending the party.
Subtract 90 and both sides of the equation to make the $39X alone.
$4,410 = $39X
Divide $39 into both sides of the equation to isolate or bring X alone.
113.076923 = X
Now since we have to round down, we will do 113.
Answer: 113 people can attend the anniversary party.
Answer:
20 years.
Step-by-step explanation:
We have been given a formula 
, which represents the value of an investment A (in dollars) after t years.
Substitute the given values:
Let us solve for k.
Take natural log of both sides:
Using property 
, we will get:
We know that 
, so
Dividing both sides by 1000, we will get:
Take natural log of both sides:
Divide both sides by 
:
Therefore, it will take 20 years for the investment to be $9,000.
