Mark is going to purchase a $9,000 motorcycleHis bank will finance his purchase through an add-on interest loan. They will charge Mark 7% interest over 5 years
How much in interest ?

Answer:

Domain = {x : x ≠ 4 , -4}  or  (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Step-by-step explanation:

TO FIND :-

SOLUTION :-

Domain of a function is a value for which the function is valid.

The function [tex]C(x) = \frac{x + 9}{x^2 - 16}[/tex] is valid until the denominator is 0.

So make sure that the denominator must not be 0.

[tex]=> x^2 - 16 > 0[/tex]

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.

[tex]=>x^2 - 16 + 16 > 0 + 16[/tex]

[tex]=> x^2 > 16[/tex]

[tex]=> x > \sqrt{16}[/tex]

[tex]=> \boxed{x > 4} \: or \:\boxed{x > -4}[/tex]

We can say that 4 & -4 can't be domains because these values will make the function undefined.

Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.

CONCLUSION :-

The function will be valid for any value of 'x' except 4 & -4. So in :-

Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Set builder notation , it can be written as → {x : x ≠ 4 , -4}

Answer:

(x - 8) -4

Step-by-step explanation:

Answer:

 2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

 m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

 y -22 = 2(x -9)

 y = 2x -18 +22

 y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

mrk me brainliest plz

Answer:

2 .The slope of Function A is less than the slope of Function B

A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)

The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)

_____

More detailed working

The slope of Function A can be figured easily between the points with x-values that differ by 1:

m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.

The slope of Function B is the coefficient of x in the equation: 3.

__

The y-intercept of Function A can be found starting with point-slope form:

y -22 = 2(x -9)

y = 2x -18 +22

y = 2x +4 . . . . . . . slope-intercept form

The intercept of +4 is the same as that of Function B.

Step-by-step explanation:

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Step-by-step explanation:

[tex](9) {}^{2} = (5) {}^{2} + (x) {}^{2} \\ 81 = 25 + {x}^{2} \\ {x}^{2} = 56 \\ x = 2 \sqrt{14} = 7.4[/tex]

Answer:

30

Step-by-step explanation:

30/3 = 10

30/10 = 3

30/15 = 2

Hope this helps!

Answer: 5

Step-by-step explanation:

hope this help get a A

Answer:

its option C

Step-by-step explanation:

because ages 51-60 have around 30 more in years and since the 51-60 is half way in the collums it would be 5 so then its 35 more voters :)

Answer:

x=7.5

Step-by-step explanation:

To cancel out the sin function we need to mulitplly it by sin⁻¹ (you can usually access this button if you press 2nd-->sin)

so sin⁻¹(.5)=30

30=4x

x=7.5

Answer:

x = 0

Step-by-step explanation:

3(x - 2) + 15= -3(x - 3)

3x - 6 + 15 = -3x + 9

3x + 9 = -3x + 9

3x + 3x = 9 - 9

6x = 0

x = 0

Answer:

x < -2

Step-by-step explanation:

subtract 6 from each side

-3x > 6

divide both sides by -3

x < -2

(with inequalities you must flip the sign if you divide by a negative number)

Answer:

Probability [Both ball red without replacement] = 26 / 77

Step-by-step explanation:

Given:

Number of white ball in beg = 6 balls

Number of black ball in beg = 3 balls

Number of red ball in beg = 13 balls

Find:

Probability [Both ball red without replacement]

Computation:

Probability of first red ball = Number of red ball in beg / [Total balls in beg]

Probability of first red ball = 13 / [6 + 3 + 13]

Probability of first red ball = 13 / 22

Probability of Second red ball = Number of remaining red ball in beg / [Total balls in beg without replacement]

Probability of Second red ball = [13 - 1] / [6 + 3 + 12]

Probability of Second red ball = 12 / 21

Probability [Both ball red without replacement] = [Probability of first red ball][Probability of Second red ball]

Probability [Both ball red without replacement] = [13/22][12/21]

Probability [Both ball red without replacement] = 26 / 77

[tex] \huge \mathfrak{ Answer : - }[/tex]

60 students walk to school, which is 20 % of the total students studying there,

so, let the the total number of students be " x "

now, we know

=》

[tex]20 \% \: \: of \: \: x = 60[/tex]

=》

[tex] \dfrac{20}{100} \times x = 60[/tex]

=》

[tex] \dfrac{1}{5} \times x = 60[/tex]

=》

[tex]x = 60 \times 5[/tex]

=》

[tex]x = 300[/tex]

hence, the total number of students :

x = 300

Answer:

simple answer 300

Step-by-step explanation:

20%=60 students. 100%/20%=5. 60*5=300 students

Answer:

64

Step-by-step explanation:

Answer:

Solution given:

r=4in

h=4in

surface area=2πr(r+h)=2π*4(4+4)=64π or201.06ft²

Volume=πr²h=π*4²*4=64π or 201.06ft³

Answer:

-1/3

Step-by-step explanation:

Find two points on the line  (0,2) and (3,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-2)/(3-0)

   = -1/3

Answer:

A

Step-by-step explanation:

1) take two points of the line

A(0,2) ; B(3,1)

2) use this formula for find the slope

(y2-y1)/(x2-x1)

(1-2)/(3-0)

slope = -1/3

The correct set of inequalities are - [tex]3x^{2} > y[/tex] and    [tex]y^{2}+6 > x[/tex].

We have three times the square of a number is greater than a second number and the square of the second number increased by 6 is greater than the first number.

We have to find which system of inequalities mentioned represents this situation.

An inequality is mathematical relation which compares two or more mathematical expressions.

In the question, it is given that -

Three times the square of a number is greater than a second number. Let the first number be [tex]x[/tex] and the second number be [tex]y[/tex].

According to question -

[tex]3x^{2} > y[/tex]

and - the square of the second number increased by 6 is greater than the first number. We can write this statement mathematically as -

[tex]y^{2}+6 > x[/tex]

Hence, the correct set of inequalities are - [tex]3x^{2} > y[/tex] and    [tex]y^{2}+6 > x[/tex]

To solve more questions on inequalities, visit the link below -

https://brainly.com/question/20383699

#SPJ2

Answer:[tex](-1.412,-2.124),(3.29,7.28)[/tex]

Step-by-step explanation:

Given

The given equation is [tex]2^x-2.5=2x+0.7[/tex]

There are two functions i.e. [tex]y=2^x-2.5\ \text{and}\ y=2x+0.7[/tex]

Their intersection gives the solution of the above function

From the graph, we can see that both the graph intersects at two different points i.e.  at

[tex](-1.412,-2.124)\ \text{and}\ (3.29,7.28)[/tex]

Answer:

ito yung link o /fhytuewfxnopjbfw/ yan na po

Answer:

139.5 mm

Step-by-step explanation:

The area of a geometric shape with all sides of equal length is:

A (1/2)nsr

n = the number of sides

s = the length of the sides

r = the length of the apothem

The apothem is the line going from the center point of the shape to the middle of one of the sides.

A = (1/2)(5)(9)(6.2)

A = (1/2)279

A = 139.5 mm

Answer:

C. Associative property of multiplication

Step-by-step explanation:

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.

Answer:

B.

Step-by-step explanation:

Our landfills will not actually become towering mountains of trash, that's just a hyperbole used by the author to show the destructive impact that trash in large quantities can have.

Answer:

Around 0.40

Step-by-step explanation

If she doubles the gift every year, do 18x2=36, 36 rounds to 40 or 0.40.

The total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Lets suppose the geometric sequence has its initial term is [tex]a[/tex], multiplication factor is  r, then, its sum is given as:

[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]

(sum till nth term)

The sequence would look like [tex]a, ar, \cdots, ar^{n-1},\cdots[/tex]

For this case, we are specified that:

That shows that the gift amounts each year will form a geometric sequence where a = 1, and r = 2 (as amounts are doubled).

The gift amounts would look like:

[tex]\\1, 2, 4, \cdots\\or\\1, 2\times 1, 2^2 \times 1, \cdots[/tex]

We have to find these terms' sum till 18th term(18th term is the gift of her 18th birthday).

Thus, we have: n = 18, a = 1, and r = 2.

The sum will be:

[tex]S_n = \dfrac{a(r^n-1)}{r-1} = \dfrac{1(2^{18}-1)}{2-1} = 2^{18} - 1 = 262143 \: \rm cents[/tex]

There are 100 cents in 1 dollars,

Thus, 1 cent = 0.01 dollars,

and thus, 262143 cents form 2621.43 dollars.

Thus, the total of all the gifts on the girl's 18th birthday given from her grandma for this considered case is  evaluated as 2621.43 dollars

Learn more about sum of terms of geometric sequence here:

https://brainly.com/question/1607203

Answer:

4

Step-by-step explanation:

You can divide both numbers by four and get an even answer

Answer:

4

Step-by-step explanation:

Answer:

y=2x^2-4x+1

Step-by-step explanation:

i hope that’s right :)

Answer:

√115

Step-by-step explanation:

14²= 9² + x²

x= √14²-9² = √115

Step-by-step explanation:

using Pythagores theorem

h²=p²+b²

14²=p²+9²

p²=196-81

p=√115

p=10.72

If Brad cuts each log by 12 he will have 48 pieces of cut logs. I hope this helps you, have a great day!

Answer:

48

Step-by-step explanation:

4x12=48

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.989.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

[tex]M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Answer:

5n + 1

Step-by-step explanation:

f(n) + g(n) is just 2n + 1 + 3n , adding the two functions together!

Those expressions combine to 5n + 1 :)

Answer:

1. \{(-3, 4), (-8, 0), (3, -8), (-3, -4)\}{(−3,4),(−8,0),(3,−8),(−3,−4)}

Step-by-step explanation:

The x values are repeating