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professor190 [17]
3 years ago
9

How to work out volume of prisms and cylinders

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Prism=½ x base x height x prism height

Cylinder =πr²h

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Suppose that you buy a two-year 8% bond at its face value.
Juliette [100K]

Answer:

Real Rate of Return = 4.9%  and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9%  and Nominal rate = 0.081 or 8.1%

real rate = 5 %   and Nominal rate = 0.0815 or 8.15%

real rate = 3%  and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% =  0.08

Inflation rate 1st year = 3% =  0.03

Inflation rate 2nd year = 5% =  0.05

solution

we get here Real Rate of Return  that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate)   .........1

so that here 1st year Real return  will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return  will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation     ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

so

Nominal rate = 0.0815 or 8.15%

and for 2nd years  it will be

Real rate = Coupon rate - Inflation      ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

so

Nominal rate = 0.0815 or 8.15%

4 0
3 years ago
Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?
Kitty [74]
X=-5.5 the other zero would be x=-0.5 but that’s not an option.
8 0
2 years ago
What is the same mixed number as 3 2\7?
aleksandr82 [10.1K]
3 2/7 = 21/7

answer is 21/7
8 0
3 years ago
I really need help its 7th grade math1!
Gelneren [198K]
ANSWER:
graph y = 4x - 12 (use desmos graphing calc if needed)
EXPLANATION:
y = mx + b
y = 4x + b
0 = 4(3) + b
0 = 12 + b
-12 = b
y = 4x - 12
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3 years ago
In ΔTUV,
Lena [83]
What Song confuse just makes no sense to me
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