The slant height, x, is 7.5 mm because you use the pythagorean formula and solve for c, since the you're solving for the hypotenuse which is the longest side.
        
                    
             
        
        
        
Since this is a problem of simple interest, then the interest earned will be based always on the principal amount which is 5000. So assuming that, lets also assume that the duration to get interest will be in years since that is the most commonly used duration anyway. So first, let's multiply 5000 with 0.075 to get the interest for the first year. So we will have 375. This means that we will be getting 375 interest every year. We can do trial an error method to get the number of years that will yield us to 6500. Through that, I was able to get 4 years. So 4 times 375 equals  1500 plus the original balance of 5000. It will take 4 years before your balance reaches 6500
        
             
        
        
        
Slope of the line passes through (5,10) and (7,12) is 1. 
Step-by-step explanation:
Given,
The two points are (5,10) and (7,12).
To find the slope passing through the given points.
Formula
The slope of the line passing through ( ) and (
) and ( ) is
) is 
Now, putting  we get,
 we get,
Slope =  =
 =  = 1
 = 1
Hence,
Slope of the line passes through (5,10) and (7,12) is 1. 
 
        
                    
             
        
        
        
Answer:
4/21
Step-by-step explanation:
I got the first probability and the second probabilty then multiplied them together.