The returns from an investment are 4% in year 1, 7% in year 2, and 10.8% in the first half of year 3. calculate the annualized return for the entire period.

7.23%

Step-by-step explanation:

Given that returns from  an investment are 4% in Year 1, 7% in Year 2, and 10.8% in the first half of Year 3.

Let amount invested initally be    100

Interest in I year =

Amount at end of year I                =104

Interest at 7%          

Amount at year2 nd                    =111.28

Interest for year 3 10.8%             =  12.01824

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Amount at end of 3 years           = 123.29824

Thus for amount invested 100 dollars, at 3 years final amount = 123.29824

Hence effective rate  for entire period compounded annually would be

-1

=1.0723-1

=0.0723

=7.23%

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13