Effective rate find the effective rate of interest corresponding to a nominal rate of 7.5% per year compounded.
(a) annually
(b) semiannually
(c) quarterly
(d) monthly

(A) 7.5 %

(B) 3.75 %

(C) 2.5%

(D) 0.625 %

Step-by-step explanation:

We have given effective rate of interest r = 7.5%

(a) Annual rate of interest will be equal to 7.5 %

(B) As we know that 1 year = 12 months

And interest is compounded semiannually

1 semiannual = 6 months

So semiannual rate of interest will be equal to %

(c) 1 quarter = 4 month

So number of period in an year = 3

So rate of interest quarterly %

(D) Amount when amount is compounded monthly '

So number of period in an year = 12

So rate of interest %  

its a straight line parallel to the time axis

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet