What's the effective interest rate of an 8% 13-week treasury bill? assume it's a $10,000 treasury bill, and round your answer to the nearest hundredth percent.

8.24 %

Step-by-step explanation:

It is given that Interest rate is 8% for 1 year i.e. 52 Weeks.

and they are asking the interest rate for 13 weeks so

there will be total 52/13=4 terms in the year.

Now we know that

the formula for Effective Interest rate is

where

r = The effective interest rate

i = The stated interest rate

n = The number of compounding periods per year

so from above it is clear that i=8% =0.08 and n=4 now after putting all the values in the above formula we will get like this

=1.08243-1

=0.08243

=8.24% (nearest hundredth)

what

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).