How many solutions does this equation have?
4h + 2 = 2 + 4h

Answer:

D.

Step-by-step explanation:

The credit card provides the opportunity for Anthony to purchase the TV by paying at a rate of $50 a month.

The correct responses are;

Reasons:

The price of the TV, P = $700

The interest rate is r = 18%

The monthly payment, M = $50

Monthly payment formula is given as follows;

[tex]M = \mathbf{ \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}[/tex]

The time it will take to pay using the credit card is therefore;

[tex]\displaystyle 50 = \dfrac{700 \times \left(\dfrac{0.18}{12} \right) \cdot \left(1+\dfrac{0.18}{12} \right)^n }{\left(1+\dfrac{0.18}{12} \right)^n - 1} = \frac{10.5 \cdot 1.015^n}{1.015^n-1}[/tex]

Which gives;

50 × (1.015ⁿ - 1) = 10.5 × 1.015ⁿ

Solving for n gives;

[tex]\displaystyle n = \frac{ln\left(\frac{50}{39.5}\right) }{ln(1.015)} \approx \mathbf{15.832}[/tex]

It will take approximately 15.832 months for Anthony to pay for the TV at $50 per month.

1. The final price of the TV = $50 × 15.832 ≈ $791.6

2. The number of hours of work, t, is given as follows;

[tex]\displaystyle t = \frac{\$700}{\$10 \ per \ hour} = \mathbf{ 70 \ hours}[/tex]

Anthony has to work for 70 hours to save enough money to purchase the TV.

3. The extra hours of work is given by the hours of work needed to pay for the interest amount for the loan on the card

The interest amount on the card = $791.6 - $700 = $91.6

[tex]\displaystyle Extra \ hours \ to \ work = \mathbf{ \frac{\$ 91.6}{\$10 \ per \ hour}} = 9.16 \ hours[/tex]

Anthony has to work for extra 9.16 hours bussing tables using his credit card.

Learn more about payment on loan here:

https://brainly.com/question/13522402

Step-by-step explanation:

Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true

Answer:x-3

Step-by-step explanation:

Answer:

$277.75

5.50×40=220

5.50÷2=2.75

5.50+2.75=8.25×7=57.75

57.75+220=277.75

Answer:

an = -6 + n

a10 = -6+ 10 =4

Step-by-step explanation:

an should start at one behind the first number so it should be -6. Then we add  whatever the sequence is increasing by, which is 1 in this case, multiplied by n.

an = -6 + n

a10 = -6+ 10 =4

Answer:

12.292 or 1.708

Step-by-step explanation:

1#60 -  (2 • (x + 7)2 +  4)  = 0

2#   -2x2 - 28x - 42  =   -2 • (x2 + 14x + 21)

3#x2 + 14x + 21 =  -2 • (x2 + 14x + 21)  = 0

[tex]\\ \sf\longmapsto -60=2(h+7)^2+4[/tex]

[tex]\\ \sf\longmapsto 2(h^2+14h+49)=-64[/tex]

[tex]\\ \sf\longmapsto h^2+14h+49=-66[/tex]

[tex]\\ \sf\longmapsto h^2+14h+115=0[/tex]

Answer: Polynomial

Step-by-step explanation:

Answer:

x²+6x+9

x²+3x+3x+9

x(x+3)+3(x+3)

=(x+3)(x+3)

Answer:

Here is a pic hope this helps! <3

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

y=-1/2x+5/2

y=mx+b

m=slope

m=-1/2

Answer:

y = -5x + 15

Step-by-step explanation:

We'll look for a linear function of the form y = mx + b, where m is the slope and b is the y-intercept.

We can determine a slope from the two given points by calculating a Rise/Run.  Starting at (2,5) and going to (3,0):

Rise = (0 - 5) = -5

Run = (3-2) = 1

Rise/Run = Slope, m) = -(5/1) or -5

Now we have y = -5x + b

To find b, enter either of the two points and solve for b.  I'll use (3,0), because I know my zero multiplication and addition tables by heart.

y = -5x + b

0 = -5(3) + b

b = 15

The equation becomes y = -5x + 15

See attachment.

Answer:

y=-1/3x+2/3 (please mark brainliest)

Step-by-step explanation:

start with y=3x+6

you can get the slope of the perpendicular line by dividing the slope by -1,

so the slope of the new line is -1/3.

using the point and the slope of the new line, we can put it into point-slope form:

y-y₁=m(x-x₁)

y-0=-1/3(x-2)

simplify:

y=-1/3x+2/3

this is the final equation in the form y=mx+b

So, this has many steps to it.

This part is to let us know what symbols we should use (VERY IMPORTANT)

1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression

2.Then you look for the key word which is quotient and that means to divide

    All of our symbols are in now. Time for the next step

This part us know what we are dividing and adding.

Now 2+ b/5

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

8.85

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

height = 10 , area = 240 units²

Step-by-step explanation:

The diagonal splits the rectangle into 2 right triangles.

Using Pythagoras' identity in the right triangle formed

with hypotenuse h = 26 and legs 24 and height x , then

x² = 26² - 24² = 676 - 576 = 100 ( take square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

Height = 10 units

area of rectangle = 24 × 10 = 240 units²

Answer:

Step-by-step explanation:

Given:

Work:

Hence, the solution to the expression with x = 4.5 is 60.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer

9=5 equivalent

Step-by-step explanation:

Answer:

A. cos(x) = 1/2

Step-by-step explanation:

2sec(x) = 9-5 = 4

sec(x) = 4/2 = 2

1/cos(x) = 2

cos(x) = 1/2

Answer:

5.23

Step-by-step explanation:

The opposite of a number is the opposite signs,

the opposite of negative is positive and the opposite of positive is negative,

so the opposite of negative 5.23 is positive 5.23.

A) Length is 82 m

B) Width is 58 cm

Hope this is helpful!

Answer:

5 => 2

6 => 3

7 => 4

8 => 5

9 => 6

Answer:

2,3,4,5,6

Step-by-step explanation:

y = 5 - 3 = 2

y = 6 - 3 = 3

y = 7 - 3 = 4

y = 8 - 3 = 5

y = 9 - 3 = 6

Answer:

2, 5, 10, 50, 55, 275, 280

Step-by-step explanation:

hope this heled you.. :)

Answer:

65

50

Step-by-step explanation:

yeah-ya........ right?

Answer:

i think x = -1, y = 1

Step-by-step explanation:

3+2x-y=0

so 3+2x = y

-3-7y=10X

-3-7(3+2x) = 10x

-3-21-14x = 10x

-24-14x = 10x

-14x-10x = 24

-24x = 24

x = -1

3+2x = y

so 3+2(-1) = y

3+(-2) = y

1 = y

SO x = -1 and y = 1

The parent absolute value function is translated  3 units left and 1 unit up.

The function that is graphed is [tex]f(x) = |x + 3| +1[/tex]

The parent absolute function is given as:

[tex]y =|x|[/tex]

When a function is translated 3 units left, the rule of transformation is:

[tex](x,y) \to (x + 3,y)[/tex]

So, we have:

[tex]y = |x + 3|[/tex]

When a function is translated 1 unit uo, the rule of transformation is:

[tex](x,y) \to (x,y+1)[/tex]

So, we have:

[tex]y = |x + 3| +1[/tex]

Express as a function

[tex]f(x) = |x + 3| +1[/tex]

Hence, the function that is graphed is [tex]f(x) = |x + 3| +1[/tex]

Read more about transformation at:

https://brainly.com/question/1548871

Answer:

left,up, lx+3l+1

Have fun

Answer:

111.101, 110.111, 101.121, 101.112

Step-by-step explanation:

Descending order means values starting with big ones and ending with the small ones.

So, in this case,

Hope it helps :)