Answer:

Step-by-step explanation:
The point slope form of a line is
where
. We write

Since the line is parallel to the line shown it will have the same slope. To find m, count the slope from each marked point on the graph. Count the rise then the run and create a fraction rise/run. The slope is 6/4 which simplifies to 3/2. Now substitute it for m.

Answer:
The equation can be used to determine the amount of money S(t) that her savings account has after t years is 
Step-by-step explanation:
A student invests $500 in a savings account
Principal = $500
Rate of interest = 4% = 0.04
We are supposed to find equation can be used to determine the amount of money S(t) that her savings account has after t years
Formula : 
Where A is the amount after t years =S(t)
t = time
r = rate of interest in decimals =0.04
P = Principal=500
Substitute the value in the formula :
So, 

Hence The equation can be used to determine the amount of money S(t) that her savings account has after t years is 
Answer:
x = ±2√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Multiple Roots
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
4x² - 5 = 75
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Addition Property of Equality] Add 5 on both sides: 4x² = 80
- [Division Property of Equality] Divide 4 on both sides: x² = 20
- [Equality Property] Square root both sides: x = ±2√5
Answer:
I've labled all in red, hope this helps.
Answer:
0.0656
Step-by-step explanation:
For each message, we have these following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four all spam, each with a 90% probability.
The fifth legitimate, with a 10% probability.
