Parallelogram BCDE with vertices B(2, -3), C(6,-4), D(7.-6), and E(3.-5):
a) 270° counterclockwise rotation about the point (1,-2)
b) translation along the vector (0,8)

Using compound interest, it is found that:

a) The monthly payments are of $3,401.49.

b) The total of all monthly payments for 30 years is of $1,224,536.

c) The total interest is of $794,536.

d) The total interest is greater.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

For the parameters, we have that:

For practicality, first we are going to solve item b.

Item b:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}[/tex]

[tex]A(30) = 1224536[/tex]

The total of all monthly payments for 30 years is of $1,224,536.

Item a:

$1,224,536 is paid in 30 x 12 = 360 months, hence:

1224536/360 = $3,401.49.

The monthly payments are of $3,401.49.

Item c:

The interest is the total subtracted from the principal, hence:

1224536 - 430000 = $794,536.

The total interest is of $794,536.

Item d:

Loan of $430,000, interest of $794,536, hence the total interest is greater.

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Answer:100*7.5=750cm=7.5 m

left rope=20-7.5=12.5m

Step-by-step explanation:

Pa Brainliest Kung Pwede.

Answer:

12.5 metres

Step-by-step explanation:

→ Multiply the pieces by the length

100 × 7.5 = 750 cm

→ Convert to metres

750 cm = 7.5 metres

→ Minus from original length

20 - 7.5 = 12.5 metres

Answer:

6

Step-by-step explanation:

270 divided by 45

=6

Answer:

it has a range of 17

Step-by-step explanation:

I just took it

Answer:

62.24

Step-by-step explanation:

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A cup of coffee's temperature was measured over a 30-minute period in degrees Celsius.

Let T be the temperature and t be the time. Then the regression equation is given as,

ln T = 4.20 - 0.023 t

Then predicted temperature after 3 minutes is given as,

ln T = 4.20 - 0.023 x 3

ln T = 4.20 - 0.069

ln T = 4.131

T = 62.24 °C

The predicted temperature after 3 minutes will be 62.24 °C. Then the correct option is B.

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Answer:

1352

Step-by-step explanation:

4% of 33,800 is 1352  last years salary  was 32448

Answer:

7.75J

Step-by-step explanation:

kinectic energy formula = 1/2mv²

m mass

v velocity

1/2 x 62 x 0.5² = 7.75

A woman is walking at a rate of 0.5m/s. Her mass is 62 kg. The woman's kinetic energy in joules:

K.E. = 7.75 kgm²/s²

What is Kinetic Energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

Given,

Mass = 62kg

Velocity = 0.5m/s

The formula for Kinetic Energy is :

K.E. = 1/2 m v².

K.E. = 1/2 (62)(0.5)²

K.E. = 1/2 (62)(0.25)

K.E. = 1/2 (15.5)

K.E. = 15.5/2

K.E. = 7.75 kgm²/s²

or

K.E. = 7.75 joules

Hence, he woman's kinetic energy in joules, K.E. = 7.75 kgm²/s²

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Answer:

1040 x 0.229984 = 239.18336

months = 239

Answer:

0.0226122585576093

Answer:

"do you mock people's mental states?"

Answer:

-2 = -2/7

-1= -1/7

0=0

1= 1/7

2= 2/7

Step-by-step explanation:

it gives you a function of 1/7 so you multiply it by x and u get the g(x) also know as Y

Answer:

[tex]y = x + 4[/tex]

Step-by-step explanation:

[tex]1 = 1(- 3 )+ b \\ 1 = - 3 + b \\ b = 4 \: \: \: \: y - intercept[/tex]

Answer:

Third option

Step-by-step explanation:

[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]

Answer:

symbolic representation :negation q (~q)

plz mark me brinest

The value of x when h = 4 is 4.

The given equation is  :   4(x − 3) = h.  We need to find the value of x in terms of h and the value of x when h = 4.So, we will solve this equation by following the steps given below:

Step 1: Distribute 4 by x and 4 by -3. It gives us:4x - 12 = h

Step 2: Add 12 to both sides of the equation. We get:4x - 12 + 12 = h + 124x = h + 12

Step 3: Divide both sides of the equation by 4. We get:x = (h + 12) / 4

Therefore, the value of x in terms of h is x = (h + 12) / 4.

Now, we need to find the value of x when h = 4. We will put h = 4 in the above equation and get the value of x.x = (4 + 12) / 4 = 16 / 4 = 4.

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Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

Answer:

(x+12) (x+2)

x(x+12)+2(x+12)

x^2+12x+2x+24

x^2+14x+24

Step-by-step explanation:

Answer:

f(x) = x² + 14x + 24

Step-by-step explanation:

Given the zeros of -12 and -2, then it means that:

x + 12 = 0 and x + 2 = 0

As a proof, if you isolate x, you'll end up with the given values:

x + 12 - 12 = 0 - 12

x = -12

x + 2 - 2 = 0 - 2

x = -2

In terms of using these values into the quadratic function:

(x + 12) (x + 2)

Perform the FOIL method in order to find the quadratic function:

(x + 12) (x + 2)  

f(x) = x² + 2x + 12x + 24

f(x) = x² + 14x + 24   ⇒ This is the quadratic function, given the zeros as x = -12, and x = -2.

Correct answer: y = [tex]\frac{1}{3}[/tex]x + 2

To find out the slope, you would need to remember this slope formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex], and (0, 2) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug these numbers into the slope formula to find out the slope:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] → [tex]\frac{2-3}{0-3}[/tex] → [tex]\frac{-1}{-3}[/tex] → [tex]\frac{1}{3}[/tex]

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

(3) = [tex]\frac{1}{3}[/tex](3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = [tex]\frac{1}{3}[/tex] and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = [tex]\frac{1}{3}[/tex]x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

Answer:

not sure about it this one is tuff

Answer:

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

3. Points (-3, -2) and (3, 10)

The slope:

The y - intercept:

The line C is:

4. The rate of change is m = 2.5

The y- intercept:

The line D is:

5. Line E has a slope of 4, no sufficient info to conclude.

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

The line F is:

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

Given:

[tex]f(x)=3x^2-5x-2[/tex]; find f(-2/3)

Answer:

[tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

Step-by-step explanation:

1. Insert [tex]-\frac{2}{3} \\[/tex] as X; [tex]f(-\frac{2}{3}) = 3 (-\frac{2}{3} )^2 - 5 (-\frac{2}{3}) - 2[/tex]

2. Solve equation; [tex]f(-\frac{2}{3} )=\frac{8}{3}[/tex]

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

Answer:

70 cents each snickers bar

Step-by-step explanation:

Step-by-step explanation:

Circumference (C):

[tex]C = 2\pi r = 2\pi(5\:\text{ft}) = 31.4\:\text{ft}[/tex]

Area (A):

[tex]A = \pi r^2 = \pi(5\:\text{ft})^2 = 78.5\:\text{ft}^2[/tex]

Answer:

Step-by-step explanation:

You can consider 78.50 as 78.5, cause we basically remove the 0 from it.  The whole point is, they are both the same.

Hello there!

Yes, 78.50 is the same as 78.5 because you can remove the 0 and the numbers will be identical.

Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

Answer:

y = 1.5x + 3

Step-by-step explanation:

Take the two points marked by the blue dots.

(0,3), (2,6)

Start with (0,3). The zero makes the other number with it = to the y intercept.

So far what you know is

General equation: y = mx + b

b = 3

Partial equation: y = mx + 3

Givens

To get m, you need both points.

y2 = 6

y1 = 3

x2 = 2

x1 = 0

Equation

m = (y2 - y1)  / (x2 - x1)

m = (6 - 3) / (2 - 0)

m = 3 / 2

Entire equation

y = 3/2 x + 3

or

y = 1,5x + 3