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3 years ago

7

Find the size of each of 6 payments made at the end of each year into a 6% rate sinking fund which produces $82000 at the end of

6 years. The payment size is $? rounded to the nearest cent

1 answer:

Yuri [45]3 years ago

4 0

Answer:

at the end of 1st year we pay $ 11756

at the end of 2nd year we pay $ 24217

at the end of 3rd year we pay $ 37426

at the end of 4th year we pay $ 51427

at the end of 5th year we pay $ 66269

at the end of 6th year we pay $ 82001

Step-by-step explanation:

Given data

rate ( i ) = 6%

Future payment = $82000

no of time period ( n ) = 6

to find out

size of all of 6 payments

solution

we know future payment formula i.e.

future payment = payment per period ( $(1 + rate)^{n}$ - 1 ) / rate

put all these value and get payment per period

payment per period = future payment × rate / ( $(1 + rate)^{n}$ - 1 ) / rate

payment per period = 82000 × 0.06 / ( $(1 + 0.06)^{6}$ - 1 ) / rate

payment per period = 82000 × 0.06 / 0.4185

payment per period = $ 11756.27

at the end of 1st year we pay $ 11756

and at the end of 2nd year we pay $ 11756 × ( 1 + 0.06) + 11756

and at the end of 2nd year we pay $ 24217

and at the end of 3rd year we pay $ 24217 × ( 1 + 0.06) + 11756

and at the end of 3rd year we pay $ 37426

and at the end of 4th year we pay $ 37426 × ( 1 + 0.06) + 11756

and at the end of 4th year we pay $ 51427

and at the end of 5th year we pay $ 51427 × ( 1 + 0.06) + 11756

and at the end of 5th year we pay $ 66269

and at the end of 6th year we pay $ 66269 × ( 1 + 0.06) + 11756

and at the end of 6th year we pay $ 82001

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Answer:

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Step-by-step explanation:

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In this phase,

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So $L_{3} = 1.25$ and $E_{3} = 0.30$

The total milligrams of levonorgestrel is:

$L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925$

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$E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68$

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3 years ago