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Answer:
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%
Answer:
Step-by-step explanation:
I'm just going to go out on a limb here and assume that those are a set of poorly made parenthesis. This, then, would be your equation:
The first thing to do is distribute through the parenthesis to get:
Next is to get rid of the denominators by multiplying by the LCM of 77:
which gives you:
77x + 11x + 7x + x = 4620 and
96x = 4620 so
Answer:
Area of a square is length * length
Area of a rectangle is length * breadth
In the question, the area of the square is 36
And the area of the rectangle is the area of the square
To find the area of the rectangle, multiply 1(1/3) by the area of the square(36)
Area of rectangle becomes, 1(1/3) * 36 = (4/3) * 36 = 48cm2
To find the perimeter of the shape, we must find the perimeter of the rectangle - perimiter of the square
Since area of square is length * length, the length of the square is 6cm
The breadth of the rectangle is equal to the length of the square, hence, b = 6cm
Since, length * breadth = 48
l * 6 = 48
l = 8
Perimeter of the shape = 4 * perimeter of rectangle - perimter of square
Perimeter of rectangle = 2(l+b)
Perimeter of sqaure = 4l
Our answer = 4 * 2(6+8) - 4(6)
= 4 * 28 - 36
= 88cm
Step-by-step explanation: