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Viktor [21]
3 years ago
9

determine the proceeds of a 10year promissory note discounted after after 4 years at 6% compounded quarterly with a maturity val

ue of $6000​
Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

The Proceeds of maturity after 10 years is $1613.4

Step-by-step explanation:

Given as :

The maturity value = $ 6000

The rate applied at 6 % compounded quarterly

The Time period = 4 years

Now,

Amount = Principal × (1+\dfrac{\textrm Rate}{4\times 100})^{\textrm 4\times Time}

Or, Amount = 6000  × (1+\dfrac{\textrm 6}{4\times 100})^{\textrm 4\times 4}

Or, Amount = 6000 × (1.015)^{16}

Or,  Amount = 6000 × 1.2689

∴  Amount = $ 7613.4

So, The proceeds after 10 years = $ 7613.4 - $ 6000 = $ 1613.4

Hence The Proceeds of maturity after 10 years is $1613.4   Answer

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A rectangle is 64 cm long 40 cm wide find is area and perimeter​
kow [346]

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

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3 years ago
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Can someone please help me with this?
Pavel [41]

Step-by-step explanation:

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2x16 is 32 so you would take square root of 16 out which is 4 and leave the 2 inside. So the answer is 4sqrt(2)
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