Part 1: <span>What is the periodic interest rate of jade investment?
Each compounding period is done semi-annually, which means twice a year. Since the given interest rate is annual, then 5.2% divided by half should yield the period interest rate, which is 2.6%
Part 2: </span><span>How many compounding periods does Jade's investment offer in a year? how about in 8 years?
In 1 year, there are 2 compounding periods. In 2 years, there are 16 compounding periods.</span>
Answer:
Step-by-step explanation:
3y+y = 26-6
4y = 20
4y/4 = 20/4
y = 5
Systems of Linear Equations with Infinitely Many Solutions
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>
