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3 years ago

What is the inequality

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Answer:

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

Step-by-step explanation:

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17% of students in a class have brown hair. If 6 students are chosen at random, what is the probability that exactly 3 have brow

dezoksy [38]

Answer:

6.8%

Step-by-step explanation:

the question has no information about class size (no. of student in class)

assume no. of student is infinite

P(3brown out of 6) = 6C3 * P(brown)^3 * P(not brown)^3

= 20 * 0.004913 * 0.695789

= 0.06837

3 0

2 years ago

How do you write the equation of the horizontal line passing through (1,9)?

Leviafan [203]

he equation of any horizontal line is

y = .. a number

The x-value has no effect on the equation or on the line at all, as long as y-value stays the same.

In this case the line passes though the point (−8,9)

which tells us that the y-value we want is 9.

Therefore the equation is y=9

4 0

2 years ago

Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h

Paha777 [63]

Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

$MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}$

P is the loan amount.

Where interest rate r is given by

$r = \frac{APR}{12}$

Total number of payments n are given by

$n = 30\times12 = 360$

Monthly payment with points:

Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

So the APR becomes

$APR = 4.4\% - 0.125(2)\\\\APR = 4.4\% - 0.25\%\\\\APR = 4.15\%$

and the corresponding interest rate r is

$r = \frac{APR}{12}\\\\r = \frac{4.15\%}{12}\\\\r = 0.3458\% \\\\r = 0.003458$

Finally, the monthly payment is

$MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361$

Monthly payment without points:

Interest rate r is,

$r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667$

Monthly payment is,

$MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13$

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

6 0

3 years ago

Can someone show how it’s done

Dmitriy789 [7]

Don't quote me on this because i am not a master at math but im pretty sure its yes because it is a rising by the same values every time it passed through a point on the graph

8 0

3 years ago

Solving systems by elimination.

Anna71 [15]

Answer:

These are the answers :) If you have any questions feel free to ask!

1. (1,3)

2. (6,6)

3. (-1,-2)

4. (6,3)

5 0

2 years ago