............................
Answer:
-1
Step-by-step explanation:
m = -7 / 7 = -1 / 1 = -1
Answer:
FV = P(1 + r/t)^nt; where P is the initial investment, r is the rate, t is the number of accumulation in a year, n is the number of years.
FV = 7650(1 + 0.05/4)^(9 x 4) = 7650(1 + 0.0125)^36 = 7650(1.0125)^36 = 7650(1.564) = $11,964.17
Step-by-step explanation:
Answer:
Step-by-step explanation:
v = 45 * 12
v = 540cm³
To fill the tank,
v = 45 * 25
v = 1,125cm³
I'm not quite sure what the exact question is so i'll answer both;
1.) The volume of water required to fill the tank from empty = 1,125cm³
2.) The volume of water required to fill the tank from it's current level is
1,125cm³ - 540cm³ = 585cm³
Proving a relation for all natural numbers involves proving it for n = 1 and showing that it holds for n + 1 if it is assumed that it is true for any n.
The relation 2+4+6+...+2n = n^2+n has to be proved.
If n = 1, the right hand side is equal to 2*1 = 2 and the left hand side is equal to 1^1 + 1 = 1 + 1 = 2
Assume that the relation holds for any value of n.
2 + 4 + 6 + ... + 2n + 2(n+1) = n^2 + n + 2(n + 1)
= n^2 + n + 2n + 2
= n^2 + 2n + 1 + n + 1
= (n + 1)^2 + (n + 1)
This shows that the given relation is true for n = 1 and if it is assumed to be true for n it is also true for n + 1.
<span>By mathematical induction the relation is true for any value of n.</span>
