Answer: $107,836.69 or about $107,837 (to the nearest dollar)
Step-by-step explanation:
Formula to the  accumulated amount received after investing principal amount (P) at rate of interest (r) compounded monthly for t months :

As per given , A = $130,000
r= 7.5% = 0.075
t= 30 months
Now,
 
Hence he need to invest $107,836.69 .
 
        
             
        
        
        
Answer:
Angle M = 120 degrees
Shortest side = MN
Middle Side = MO
Longest side = ON
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
6 < x ≤ 20
Step-by-step explanation:
First, let's use the points (0, 50) and (20, 0) to find the equation of the line.
m = Δy / Δx
m = (0 − 50) / (20 − 0)
m = -2.5
y = -2.5x + 50
Now find the time when y = 35.
35 = -2.5x + 50
-15 = -2.5x
x = 6
So there is less than 35 gallons in the barrel when 6 < x ≤ 20.
 
        
             
        
        
        
Given
A mouse scurries across your kitchen floor at 2.0 feet per second.
Find out the mouse travel in 1.5 hours.
To proof
FORMULA 
Distance = speed × time

Convert feet per second into miles per second

As given in the question
Time = 1.5 hours
1 hours = 3600 second
Time convert in the second
Time = 1.5 × 3600 second
        = 5400 second
put all these value in the above formula
we get


= 2.04 (approx) miles
= 2.0 miles
Hence proved