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geniusboy [140]
3 years ago
10

Exercise #4: Each of the following fractions can be converted to a whole number using division.

Mathematics
1 answer:
solong [7]3 years ago
6 0

A) 6 because 12 divided by 2 is 6

B) 9 because 45 divided by 5 is 9

C) 23 because 207 divided by 9 is 23

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PLEASEEEE PLEASEEEEEEEEE HELPPPPPPPPPP<br> how do i solve this equation?
Stells [14]

Answer:

360

Step-by-step explanation:

using the definition

n P_{r} = \frac{n!}{(n-r)!}

where n! = n(n - 1)(n - 2)..... × 3 × 2 × 1

then

6P_{4}

= \frac{6!}{(6-4)!}

= \frac{6!}{2!}

= \frac{6(5)(4)(3(2)(1)}{2(1)} ← cancel 2(1) on numerator / denominator

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= 360

7 0
2 years ago
Find the y-intercept and x-intercept of the line.<br> – 3x+9y= 14
pickupchik [31]

Answer:

\huge\boxed{x-intercept=-\dfrac{14}{3}=-4\dfrac{2}{3}}\\\boxed{y-intercept=\dfrac{14}{9}=1\dfrac{5}{9}}

Step-by-step explanation:

-3x+9y=14\\\\x-intercept\ \text{for}\ y=0:\\\\-3x+9(0)=14\\-3x+0=14\\-3x=14\qquad\text{divide both sides by (-3)}\\\boxed{x=-\dfrac{14}{3}=-4\dfrac{2}{3}}}

y-intercept\ \text{for}\ x=0:\\\\-3(0)+9y=14\\0+9y=14\\9y=14\qquad\text{divide both sides by 9}\\\boxed{y=\dfrac{14}{9}=1\dfrac{5}{9}}

3 0
3 years ago
Carolina, with the intention of investing money in real estate, acquired a plot of land for R$ 350,000.00. Over four years, the
Bas_tet [7]

At the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

<h3>What is appreciation and deprecation?</h3>

Deprecation, also called devaluation, is the decrement in price of an asset. Appreciation is opposite of deprecation. This indicates increment in the price of the considered thing.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

It is given that:

  • Initial price of the plot of land = $350,000
  • First year: 12% appreciation
  • Second year: 10% appreciation
  • Third year: 8% devaluation
  • Fourth year: 6% appreciation

Now, consider appreciation of an amount A by P%.

Then, we have:

Increased price = Initial price + P% of initial price

Increased price = A + \dfrac{A}{100} \times P = A \times \left(1 + \dfrac{P}{100} \right)

Similarly, depreciated price by P% of an amount A is:

Decreased price = A - \dfrac{A}{100} \times P = A \times \left(1 - \dfrac{P}{100} \right)

We've got: A = 350,000

After 1st year, which had 12% appreciation, we get:

A_1 =A(1 + 12/100) = A(1.12)\\
After 2nd year, 10% appreciation we get:

A_2 =A_1(1 + 10/100) = A_1(1.1) = A(1.12)(1.1)\\

After 3rd year, which had 8% devaluation effect on the price, we get:

A_3 = A_2(1 - 8/100) = A_2(1-0.08) = A_2(0.92) = A(1.12)(1.1)(0.92)

After 4th year,  which had 6% appreciation effect on the price, we get:A_4 = A_3(1 + 6/100) = A_4(1+0.06) = A_3(1.06) = A(1.12)(1.1)(0.92)(1.06)

Thus, the final effect on A is:

A \rightarrow A(1.12)(1.1)(0.92)(1.06) = A(1.2014464)\\\$350,000 \rightarrow 350000(1.2014464) = 420506.24\: \rm dollars

Thus, at the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

Learn more about percent here:

brainly.com/question/11549320

#SPJ1

4 0
3 years ago
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