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Ratling [72]
3 years ago
13

What is the difference of 8 times a number r and 12?

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0

Answer:

The difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

Step-by-step explanation:

Given problem is the difference of 8 times a number r and 12

It can be written as

(8\times r)-12

To simplify the above expression :

8r-12

8r-12=0

8r-12+12=0+12 ( using addition property of equality )

8r=12

8r(\frac{1}{8})=12(\frac{1}{8}) (using division property of equality )

r=\frac{3}{2}

Therefore r=\frac{3}{2}

Therefore the difference of 8 times a number r and 12 is solved for a number r and is given by r=\frac{3}{2}

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olga55 [171]

Answer: Here's the complete question.

calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two types of annuities, all else equal, which type is more preferable? Why? Amount of annuity Interest rate Deposit period (years) $500 12% 6

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it discounts for one less year

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it discounts for one less year.

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it compounds for one more year.

Step-by-step explanation:

Future value of ordinary annuity = Amount*[{(1+r)n – 1}/r]

= 500*[{(1.12)6 – 1}/0.12]

= $4,057.59

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Future value of annuity due = (1+r)*Future value of ordinary annuity

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= $4,545

Hence, the answer is

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Since payments are made at the beginning of the year

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Step-by-step explanation:

Geometric mean of 20 and 25 is √20⋅25=22.36(2dp)

5 0
3 years ago
Circle O has a circumference of approximately 2507 ft.
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Answer:

80 ft (b)

Hope it helps

Step-by-step explanation:

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= 79.6

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3 years ago
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