All Answers

Simplify the following:
(-4)/3^2-4 (1/6-1/2)

3^2 = 9:
(-4)/9-4 (1/6-1/2)

Put 1/6-1/2 over the common denominator 6. 1/6-1/2 = 1/6-(3)/6:
(-4)/9-4 1/6-(3)/6

1/6-(3)/6 = (1-3)/6:
(-4)/9-4 (1-3)/6

1-3 = -2:
(-4)/9-4×-2/6

The gcd of -2 and 6 is 2, so (-2)/6 = (2 (-1))/(2×3) = 2/2×(-1)/3 = (-1)/3:
(-4)/9-4×(-1)/3

(-1)^2 = 1:
(-4)/9+4 1/3

Put (-4)/9+4/3 over the common denominator 9. (-4)/9+4/3 = (-4)/9+(3×4)/9:
(-4)/9+(3×4)/9

3×4 = 12:
(-4)/9+12/9

(-4)/9+12/9 = (-4+12)/9:
(-4+12)/9

-4+12 = 8:
Answer: |
| 8/9

GuestOct 30, 2015

#2

0

Can't answer that question without more information....what is the reproductive rate? (How many offspring can the two people have?) What is the life expectancy? What is the fertility rate? What is the ratio of women to men in the future offsprings? It also must assume that the original two people are a man and a woman of reproductive age and fertile.

GuestOct 30, 2015

#1

0

Will need more information to answer this correctly for your situation.

ONE way is to DIVIDE by the HEIGHT ( in feet ) of your square or rectangular or cylindrical or similar 'regular'

solid figure you are dealing with.

GuestOct 30, 2015

#5

0

There is yet another method of solving this problem:

Since the payment is annual and the interest rate is compounded monthly, we can convert the annual payment of $8,700 into MONTHLY equivalent payments:

Therefore $8,700 annual payments are equivalent to $692.05 monthly payments. Now we use the same formula used by "Guest #3".

FV=$692.05[(1+.101/12)^(33*12)-1/(.101/12)]

FV=$692.05(3,164.45185109)

FV=$2,189,958.90. The difference between this and "Guest #3" is due to rounding off the payment of $692.05 to two decimal places. Otherwise, the two methods give exact results as in "Guest #3"

GuestOct 30, 2015

#1

0

50/9 = ?

What did you come up with???

50/9 = (9 + 9 + 9 + 9 + 9 + 5) / 9 = 5 5/9 or 5.5555555556

GuestOct 30, 2015

#1

0

The first one. Just plug it into a calculator to prove it to yourself.

GuestOct 30, 2015

#1