Answer:
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest is $ 1742.4
Step-by-step explanation:
The Principal deposited at the end of each year = $ 4000
The rate of interest = 7.5 % compounded annually
The time period = 5 years
From compounded method :
Amount = principal × 
or, Amount = $ 4000 × 
Or, Amount = $ 4000 × 
or, Amount = $ 4000 × 1.4356
∴ Amount = $ 5742.4 
A ) The Amount which will be saved after five years is $ 5742.4
B ) The compound Interest = Amount - principal
    Or, C I = $ 5742.4 - $ 4000 is $ 1742.4    Answer
 
        
             
        
        
        
Answer:
x = -2 and y = 2
Step-by-step explanation:
We have the following system of linear equations;
y=x+4 
y=-2x-2 
To solve the above system, we shall be equating the right hand sides of the two equations since we have y's on the left hand side of both equations;
x + 4 = -2x - 2
add 2x on both sides of the equation;
x + 4 + 2x = -2x - 2 + 2x
3x + 4 = -2
subtract 4 on both sides of the equation;
3x + 4 - 4 = -2 - 4
3x = -6
x = -2 
We can use the first equation y=x+4 to determine the value of y;
y = -2 + 4
y = 2
The solution to the system of linear equations is thus;
x = -2 and y = 2
 
        
             
        
        
        
Answer:
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Expected value of the bet = 
<h3>
P(you make the correct draw) * 40 + P(you do not make the correct draw) * (-10) = </h3>
(4/52)(4/51)(4/50) * 40 + (1 - (4/52)(4/51)(4/50)) * (-10) = 
(64/132600) * 40 + (1 - 64/132600) *(-10) = 
64/3315 + (132536/132600) * (-10) = 
64/3315 - (132536/13260) = 
64/3315 - 33134/3315 = 
-33070/3315 =
-9.97586726998 = 
-$9.98, rounded to the nearest cent  
(i.e., the expected value of the bet is a loss of $9.98)
 
        
             
        
        
        
The original cost 35 more than this one. Therefore:
149+