Answer:
x = 30
Step-by-step explanation:

 
        
             
        
        
        
You can use the distance formula
Sqroot((x2-x1)^2 + (y2-y1)^2)
(2,-1) and (5,3), use given points
Sqroot((5-2)^2 + (3-(-1))^2)
Sqroot((3)^2 + (4^2)
Sqroot(9+16) = squareroot of 25
Squareroot of 25 = 5
Solution: D. 5 units
        
             
        
        
        
Answer:
7
Step-by-step explanation:
Since the triangle is right we can use the cosine ratio to find IR
cos60° =  =
 =  =
 = 
Cross- multiply
IR = 14 × cos60° = 14 × 0.5 = 7
 
        
             
        
        
        
Answer:
upon graphing, it is linear
Step-by-step explanation:
you could set up an x-y table or you could graph it
if you graph it you'll see it's linear with a y-intercept of -2 and a slope of 9
all linear equations are functions except for vertical lines
 
        
             
        
        
        
ince the problem is only asking for 4 years, we can just calculated it out year by year. Recall the formula for compounding interest: A = P(1+r)n, where A is the total amount, P is the principle (amount you start with), r is the interest rate per period of time, and n is the number of periods (in this case, r is annual interest rate, so n is number of years). At the beginning (Year 0), Lou starts off with 10000: A = 10000 At the end of Year 1, Lou earned interest on that amount, plus he has deposited another 5000: A = 10000(1.08) + 5000 End of Year 2, Lou's interest from the year 0 amount has compounded, he has started earning interest on the amount deposited last year, and he deposits another 5000: A = 10000(1.08)2 + 5000(1.08) + 5000 End of Year 3, same idea. Lou has earned compounding interest on all existing deposits, and deposits another 5000: A = 10000(1.08)3 + 5000(1.08)2 + 5000(1.08) + 5000 End of Year 4, same idea: A = 10000(1.08)4 + 5000(1.08)3 + 5000(1.08)2 + 5000(1.08) + 5000 = 36135.45