A bill for $100 is purchased for $96 three months before it is due. Find: 1 The nominal rate of discount convertible quarterly earned by the purchaser 2 The annual effective rate of interest earned by the purchaser.

1. The nominal interest rate  is 16.67%

2. The effective interest rate is 4.17%

Step-by-step explanation:

1.firstly we use the information given:

face value of bill is$100 which is denoted by Fv below.

$96 is the present value Pv of the bill denoted below.

thereafter we have n the number of periods of compounding which is 1 period.

we use the following formula for this problem to find i the nominal interest rate:

then we substitute the above mentioned values.

$100 = $96 ( 1+i/m)^1 divide both sides by $96

(100/96) = 1+ i/4   then subtract both sides by 1

(100/96)- 1 = i/4

0.0416666666667 = i/4 then multiply by 4 both sides as this was compounded quarterly so four times a year then multiply by 100 for percentage.

16.67% = i which is the nominal interest rate

2.

ieffective= (1+16.67%/4)^1 - 1

ieffective = 4.17%

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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