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liq [111]
3 years ago
6

Which value(s) from the set {5,7,9,11,13} make the inequality w-4<8 true?

Mathematics
2 answers:
ale4655 [162]3 years ago
8 0
The answer set is {5,7,9,11}
LenKa [72]3 years ago
6 0

Answer with explanation:

The Set, S= {5,7,9,11,13}

We have to find the value of w, in the  inequality,from the set S,for which this inequality holds true.

The given inequality is

 w-4 <8

w-4+4<8+4

w<12

So, the value of S,from the set S ,for which this inequality holds true is

⇒Solution set={5,7,9,11}

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Sean's house is currently worth $188,900. According to a realtor, house prices in Sean's neighborhood will increase by 4.8% ever
mrs_skeptik [129]

Answer  

Given

Sean's house is currently worth $188,900.

According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.

To prove

Formula

Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}

Where r is the rate in the decimal form.

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + 0.012)^{4t}       Compound\quaterly\ interest = P_{0} (1.012)^{4t}  

Now also calculated monthly.

Formula

Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}

Compound\ monthly = P_{0} (1 + 0.004)^{12t}

Compound\ monthly = P_{0} (1.004)^{12t}

As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .

Thus Option (A) is correct.

i.e

The expression (1.0118)^{4t} reveals the approximate quarterly growth rate of the value of Sean's house.




                                               

                                                       




6 0
3 years ago
Read 2 more answers
You answer 12 emails in 15 minutes. How many emails can you answer in 2 hours?
Marysya12 [62]

Answer:

96

Step-by-step explanation:

you divide 60 min by 15 to get 4 then u multiply 12 × 4 =48 then multiply 48 × 2=96

8 0
3 years ago
the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then
puteri [66]

Answer:

<em>The probability of obtaining the letter p twice is 1/121</em>

Step-by-step explanation:

<u>Probability of Recurring Events</u>

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

\displaystyle P_1=\frac{1}{11}

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

\displaystyle P_2=\frac{1}{11}

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}

\displaystyle P=\frac{1}{121}

The probability of obtaining the letter p twice is 1/121

6 0
2 years ago
What is the simplified form of the quantity of x plus 7, all over 2 − the quantity of x plus 4, all over 2
pychu [463]
X + 7/2 = 3 x+1/2
x + 4/2 = 2 x/2
4 0
3 years ago
the equation of line k is y=-1/5x-1/8. what is the equation of the line k that is perpendicular to line k and passes through (0,
Svetach [21]
y=5x  is the equation
7 0
3 years ago
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