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34kurt
2 years ago
14

Can a decimal that has repeating digits after the decimal point be converted into a fraction? It depends on what the digits are

that repeat. It depends on the number of digits that repeat. No, because the decimal is irrational, and no irrational numbers can be converted to fractions. Yes, because the decimal is rational, and all rational numbers can be converted to fractions.
Mathematics
1 answer:
levacccp [35]2 years ago
7 0

Answer:

It depends on what digits repeat

Step-by-step explanation:

A decimal with repeating digits after the decimal point can be converted to a fraction depending on the digits after the decimal point.

For example, let’s have 4/3

When we evaluate this using a calculator, we can see that we have recurring 3 after the decimal point

So 4/3 is actually 1.3333333333333

We can see that based on the number after the decimal point we can convert this to 4/3

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Reinhardt Furniture Company has 40,000 shares of cumulative preferred 2% stock, $150 par and 100,000 shares of $5 par common sto
Ann [662]

Answer:

for year 1

common stock =  $1.75 per share

preferred stock  = Zero

for year 2

common stock =  $4.25 per share

preferred stock  = $0.3 per share

for year 3

common stock =   $3 per share

preferred stock  =  $2 per share

Step-by-step explanation:

step 1

preferred stock value =  (40000 shares * $150) = $6000000

common stock value  = (100000 shares * $5) = $500000

 step 2

For year 1:

Dividend on preferred stock;

\frac{6000000 * 2}{100} = $120000

But total dividend in the question was $70000 therefore total amount of  dividend on cumulative preferred stock is $70000.

hence, dividend per share

= \frac{70000}{40000 shares} = $1.75 per share

Dividend on common stock;

70,000 - 70,000 = Zero

as total dividend distributed in year 1 is insufficient for cumulative preferred stock therefore no dividend will be paid on common stock.

For year 2:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100}= $120000

extra dividend of year 1 ($120000 - $70000) = $50000

Thus total dividend on cumulative preferred stock

($120000 + $50000) = $170000

So dividend per share

\frac{170000}{40000\ shares}= $4.25 per share

Dividend on common stock;

($200000 – $170000) = $30000

dividend per share

\frac{30000}{100000\ shares} = $0.3 per share

For year 3:

Dividend on cumulative preferred stock;

\frac{6000000 * 2}{100} = $120000

total dividend on cumulative preferred stock $120000

dividend per share

\frac{120000}{40000 shares} = $3 per share

No dividend was extra in the year 2 therefore only available dividend of this year will be paid.

Dividend on common stock;

($320000 – $120000) = $200000

dividend per share

\frac{200000}{100000\ shares}= $2 per share

3 0
3 years ago
Find the range for the function: y=x-7 {-3,0,2,5}
trasher [3.6K]

Answer:

Range is : { -10, -7, -5, -2 }

Step-by-step explanation:

Given:

The function is given as:

y=x-7

The domain of the function = { -3, 0, 2, 5 }

A function's input is called its domain and a function's output is called its range.

The range depends on the domain values. So, the values of 'y' are the values of range and the values of 'x' are the values of domain.

Here, the domain is given as:

Domain = { -3, 0, 2, 5 }

We need to find the values of 'y' for each value of 'x' taken from the domain set.

Plug in x=-3. This gives,

y=-3-7=-10

Plug in x=0. This gives,

y=0-7=-7

Plug in x=2. This gives,

y=2-7=-5

Plug in x=-5. This gives,

y=5-7=-2

Therefore, the set of all values of 'y' is the range.

Range is equal to { -10, -7, -5, -2 }.

8 0
3 years ago
Please help me with this please and thank you
BartSMP [9]

Answer:

12

Step-by-step explanation:

4x-3x

4*3=12

it is 12

7 0
2 years ago
ngozi earns \$24{,}000$24,000dollar sign, 24, comma, 000 in salary in the first year she works as an interpreter. each year, she
goblinko [34]

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by S = 24000 *  (1.035)^t.

What is a function?

  • A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
  • A relation between a collection of inputs and labor is known as a function.

You can use the fact that the raise is done on the previous year's salary.

Let the initial salary be P = $24000

After 1 year, her salary increased by R = 3.5% which, thus,

Total salary = P + increment

Similarly going on, we get

P_t = P(1+ \frac{R}{100})^t = S (we can say)

Putting values of P(value of P) and R(value of R), we get

S = 24000(1 + 0.035)^t = 24000 *(1.035)^t

Thus,

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by

S = 24000 *  (1.035)^t

Learn more about function here:

brainly.com/question/25638609

#SPJ4

8 0
1 year ago
A point in rectangular coordinates is given. Convert the point to polar coordinates. Round your answers to two decimal places.
postnew [5]

Answer:

(√74, 54.46°)

Step-by-step explanation:

The rectangular coordinate point is given as; (5, 7)

Now, converting rectangular coordinates to polar coordinates is done by;

(r, θ)

Where, r is the magnitude while θ is the angle

r = √(5² + 7²)

r = √74

tan θ = (7/5)

θ = tan^(-1) 1.4

θ = 54.46°

Thus,polar coordinate is; (√74, 54.46°)

3 0
2 years ago
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