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ikadub [295]
3 years ago
15

Solve x/9 - 1/3 = -5/3. The solution of x is:

Mathematics
2 answers:
kenny6666 [7]3 years ago
6 0

Answer: x=-12

<u>Simplify both sides of the equation</u>

<u />1/9x+-1/3=-5/3<u />

<u />

<u>Add 1/3 to both sides</u>

<u />1/9x+-1/3+1/3=-5/3+1/3<u />

<u />1/9x=-4/3<u />

<u />

<u>Multiply both sides by 9</u>

<u />9*(1/9x)=9*(-4/3)<u />

<u />

Final Answer: x=-12

myrzilka [38]3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{x}{9}-\frac{1}{3} =\frac{-5}{3}\\\\\frac{x}{9}=\frac{-5}{3}+\frac{1}{3}\\\\\frac{x}{9}=\frac{-5+1}{3}\\\\\frac{x}{9}=\frac{-4}{3}\\\\x=\frac{-4}{3}*9\\\\x=-4*3\\\\x=-12

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Answer:

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}

=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

Step-by-step explanation:

= (probability of entire face value paid*face value+probability of entire face value not paid*percent of face value paid*face value)/(1+discount rate)^years to maturity

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probability of entire face value not paid = 25%

percent of face value paid= 60%

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years to maturity  = 3

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

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=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

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Ilona is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward
larisa [96]

Complete question is;

Ilona is at a friends home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home.

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2. The distance Ilona has walked away from her friends home after t hours is given by the absolute value of -2t

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Step-by-step explanation:

We are told that the expression -2t + 10 gives the distance, in miles, that Ilona is from her home after t hours.

Now, we know that distance = speed x time

Now, from the expression -2t + 10

It's clear that 2t is a distance value.

This means that the speed used in going home is 2 miles/hr

This means that at t hours, she has walked 2t miles from her friends home.

Thus, statement 2 is true because an absolute value of -2t will be 2t.

Since 2t is subtracted from 10 in the expression and 2t is the distance she has walked from her friends house at Time, t. It means that 10 miles is the distance from her friends house to her house.

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