Answer:
+ 1) is an even number.
Take any n ∈ N, then n is either even or odd.
• Suppose n is even ⇒ n = 2m for some m ⇒ n(n + 1) = 2m(n + 1) ⇒ n(n + 1) is even.
• Suppose n is odd ⇒ n+ 1 is even ⇒ n+ 1 = 2m for some m ⇒ n(n+ 1) = 2nm ⇒ n(n+ 1)
is even. QED
2. The sum of the first n natural num
Step-by-step explanation:
a>50A is greater than 50
a<50a<50
a≥50A is greater than or equal to 50
a≤50
 
        
                    
             
        
        
        
Answer:
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be : 4048.17
Step-by-step explanation:
3000 deposit amount, 2.9 compound monthly interest .  save 80 dollars  per month at home .
A=p(1+r)^t
A=3000(1+0.029/12)^12t
A=3000(1.002417)^12t dollars
for the amount saved at home=80*12t=960t dollars
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be :
C(t)=3000(1.002417)^12t+960t
      =3088.17+960= 4048.17 dollars
 
        
             
        
        
        
Answer:
 The answer is 8.
Step-by-step explanation:
6-8+7-2-8+13
= (6 +7 + 13) - (8+2+8)
= 26 - 18
= 8
 
        
             
        
        
        
Answer:
2880
Step-by-step explanation:
V=whl=12·12·20=2880
 
        
             
        
        
        
Answer:
 0.96
Step-by-step explanation:
try