Joel is considering putting a $
$3500 laptop purchase on his
credit card, which has an interest rate of
4.95% compounded monthly. How long will it take him to pay off the purchase if he makes monthly
payments of $65?

Round your answer to the nearest tenth of a year.

Answer:

Let x = the age of the youngest child

Let x + 1 = the age of the middle child

Let x + 2 = the age of the oldest child

x + x + 1 + x + 2 = 39

3x + 3 = 39

3x = 36

x = 12 years

Answer:

2x + 8

Step-by-step explanation:

Let x be that number:

2x + 8

Answer:2661615

Step-by-step explanation:

29573.5 is how many millimeters are in an ounce multiply that by 90 and you get 2661615

hope this helps

Answer:

you used two different types of things ounces measure mass and millimeters measure length

but I used google and it said 2.662e+6

Answer:

It is 1/2

Step-by-step explanation:

the rise is 2

the run is 4

2 over four simplifies to one half

Answer:

See below

Step-by-step explanation:

As CD⊥AB, ∠BDC = ∠ADC = 90°

∠BDC ≅ ∠ADC

and

We can substitute ∠ADC with ∠BDC and ∠DAC with ∠DBC

Then we get same equation for ∠BCD and ∠ACD

Therefore ∠BCD = ∠ACD = 1/2∠ACB

It proves that CD bisects ∠ACB

Answer:

your answer is x< -2.... because 1st we have to take common between 5x and 10.

Step-by-step explanation:

The total expenses stay the same at $92,039.

The income changes to 12,000 × $35 = $420,000.

So the profit is $420,000 − $92,039 = $327,961.

Standard form of a linear equation is an equation that shows the form a straight line. It has three constants which are A,B, and C. The two variables being X and Y.

Here is the linear equation.

Ax+By=C

Answer:

1. x = -3/2 y+ 1/2z - 2

2. x = -2/3y + -2/3z + 14/3

3. x = 3z - 13

Step-by-step explanation:

solve for x

Answer:

C. Binary Data

Step-by-step explanation:

Answer:

The number of students to be sampled is [tex]n = 1789 [/tex]

Step-by-step explanation:

From the question we are told that

  The margin of error is  E = 0.03

Generally the proportion of students that receive financial aid is mathematically represented as  

          [tex]\^ p = \frac{118 }{200}[/tex]

=>        [tex]\^ p = 0.59[/tex]

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  2.58 [/tex]

Generally the sample size is mathematically represented as

     [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>  [tex]n = [\frac{2.58}{0.03} ]^2 * 0.59(1 - 0.59) [/tex]

=>  [tex]n = 1789 [/tex]

Using the margin of error, it is found that 1033 students would need to be sampled.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid, hence, the estimate is:

[tex]\pi = \frac{118}{200} = 0.59[/tex]

99% confidence level

So [tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].  

The sample size needed is n when M = 0.03, hence:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.59(0.41)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.59(0.41)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.59(0.41)}}{0.03}[/tex]

[tex]\sqrt{n}^2 = \left(\frac{1.96\sqrt{0.59(0.41)}}{0.03}\right)^2[/tex]

[tex]n = 1032.5[/tex]

Rounding up, it is found that 1033 students would need to be sampled.

A similar problem is given at https://brainly.com/question/25420216

Answer:

1.Commutative

2.Associative

3.Distributive

4.Double Negative

Step-by-step explanation:

Hope this helps! :)

Answer:

Given problems:

    Line parallel that passes through (2,3);

Solution:

To solve this problem, we need to first understand what parallel lines are.

A parallel line is any two line that does not meet at any point.

In order to achieve this, both lines must have the same slope.

 So, we find the slope of the given line and write in the form for a straight line.

 Slope of line  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

      let   x₁, y₁ = (-2, -1)

              x₂, y₂ = (2 , -3)

Now input the parameters and solve for the slope;

            Slope of line = [tex]\frac{-3-(-1)}{2- (-1)}[/tex]   = [tex]\frac{-2}{3}[/tex]

Any line that would be parallel to this must have the same slope.

 Equation of a straight line;

                  y  = mx + c;

      y and x are the coordinates;

      m is the slope

      c is the y-axis intercept;

       From  (2, 3);

        y = 3 and x = 2; m = [tex]\frac{-2}{3}[/tex]

     3 = [tex]\frac{-2}{3}[/tex] x 2 + C

     3 = [tex]-\frac{4}{3}[/tex] + C

       C = [tex]\frac{13}{3}[/tex]

 So the equation of the line is;

               y = [tex]\frac{-2}{3} x[/tex]  + [tex]\frac{13}{3}[/tex]

 Multiply through by 3;

              3y = -2x + 13

The equation of the line is 3y = -2x + 13

Answer:

x + 2y = 8

Step-by-step explanation:

Answer:

La identificación de la intención del mensaje o del texto leído no es otra cosa que la interpretación del mismo. Es decir, a través de la lectura y la identificación de las diferentes variables comunicativas, el lector realiza un análisis del contenido del texto y lo interpreta, buscando dilucidar la intención que el redactor tuvo al momento de escribir el mensaje o texto en cuestión. La interpretación de textos es fundamental para poder comprender lo que se encuentra redactado, es decir, para poder lograr una total comprensión del texto.

Answer:

10. It will take 14 minutes for the balloon's elevation to change by -315 feet

11. mm I'm not sure but this answer was on Brainly before and they got 4 1/2 hours

Step-by-step explanation:

Hope this helps sorry I took long lol

Answer:

  1

Step-by-step explanation:

The distance between any two numbers on the number line is their difference:

  3 - 2 = 1

_____

Any two consecutive integers have a distance between them of 1 on the number line.

Answer:

0.35

Step-by-step explanation

6 ) 2.1 (  0.35   <------- Quotient.

     18  

       30

       30

        ...

Answer:

A function transformation takes whatever is the basic function f (x) and then "transforms" it (or "translates" it), which is a fancy way of saying that you change the formula a bit and thereby move the graph around. ... Moving the function down works the same way; f (x) – b is f (x) moved down b units.

Answer:

-:3"5'6:7;8\4-4-4-4✓

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

[tex](2t-4)(3t+3)[/tex]

[tex]= (2t + -4) (3t + 3)[/tex]

[tex]= (2t) (3t) + (2t) (3) + (-4) (3t) + (-4) (3)[/tex]

[tex]= 6t^2 + 6t - 12t - 12[/tex]

[tex]= 6t^2 - 6t - 12[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Answer:

Eva has 16% of the book left to read

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

400-336=64

64÷400= 0.16

0.16x100=16

16% is your answer

Answer:

d = 2

Step-by-step explanation:

8 - 2 = 6

6 / 3 = 2

plz mark brainliest

Answer:

d=2

Step-by-step explanation:

Switch the left and right sides

2+3d=8

Rearrange the expression

3d+2=8

Separate the constants and variables

3d=8−2

Add or subtract the numbers

3d=6

divide both sides by 3

3d/3=6/3

d=2

hope it helps :)

Answer: 11.11%

Step-by-step explanation: Since he earned 8 dollars for each dog last summer, and he now raised it to 9 dollars per dog, we can make the subtract 9/9 - 8/9, which would equal 1/9. 1 is 11.111% of 9, so that's the answer.

(1, -2) is the coordinates that exists on the line y = 2x - 4

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given is an equation of a line, we need to find that on which of the given points it lies,

So, we will put the points one by one, the point which stratify the equation will be the answer.

The equation :- y = 2x-4

1) (1, -2)

Put x = 1, y = -2 in the equation,

2(1)-4

= 2-4 = -2

LHS = RHS

Since, point (1, -2) satisfy the equation therefore, the line will pass through it.

Hence, (1, -2) is the coordinates that exists on the line y = 2x - 4

Learn more about equations, click;

https://brainly.com/question/29657983

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Answer:

Step-by-step explanation:

Length L = 3 + W

Perimeter P = 42 in

Perimeter = 2L + 2W

plugin values:

42 = 2(3 + W) + 2W

42 = 6 + 2W + 2W

42-6 = 4W

W = 36 / 4

W = 9  

solve L by substituting the value of W=9 into the equation:

L = 3 + W

L = 3 + 9

L = 12

therefore, the dimensions of the rectangle:

                Length = 9 in

                Width = 12 in

The dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

Let l be the length and w  be the width of the rectangle.

Length l = 3 + w

Perimeter P = 42 in

Perimeter = 2l + 2w

42 = 2(3 + w) + 2w

w = 36/4

w = 9 in

solve for l by substituting the value of w = 9 into the equation:

l = 3 + w

l = 3 + 9

l = 12 in

Thus, the dimensions for the rectangle are 12 in and 9 in if the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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Answer:

13

Step-by-step explanation:

44=3x+5

44-5=39

39/3=13

Answer:

13 miles driven

Step-by-step explanation:

y = 3x + 5

Y is the amount we paid, so we insert 44 into the equation.

44 = 3x + 5

Any thing you do to one side of the equation, you do to the other side, so -5 from both sides.

44-5 = 39

5-5 = 0

So you are left with:

39 = 3x + 0    (So you can ignore the 0)

Like I said earlier, anything you do to one side of the equation you do to the other so divide both sides by 3:

39 divided by 3 = 13

3 divided by 3 = 1

So now you have:

13 = 1x

So x = 13 and that is how many miles you drove.

If this is confusing let me know

Answer:

5,400 ÷ 90 = 60

Step-by-step explanation:

hope it helps!