Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

Assume that you take out a $2000 loan for 30 months at 8% APR. How much of the first month's payment is interest? (Round your answer to the nearest cent.)
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Answer: the percent of the students at this university are foreign = 30%

Step-by-step explanation:

Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12

Probability that foreign college students smoke P(S∩F)=0.4

The probability that the students at this university are foreign :

[tex]P(F)=\dfrac{P(S\cap F)}{P(S|F)}[/tex]  [By conditional probability formula]

[tex]=\dfrac{0.12}{0.4}\\\\=0.3[/tex]

Hence, the percent of the students at this university are foreign = 30%

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

(9 + 5.7445626) / 8 = 1.843

Answer:

See image below for answer:)

Step-by-step explanation:

Answer:

[tex]-3 < x[/tex]

Step-by-step explanation:

Given

[tex]-18 < 5x-3[/tex]

Required

The solution

[tex]-18 < 5x-3[/tex]

Add 3 to both sides

[tex]3-18 < 5x-3+3[/tex]

[tex]-15 < 5x[/tex]

Divide both sides by 5

[tex]-3 < x[/tex]

Answer:

Step-by-step explanation:

mean = sum of data / no of data

=3 + 5 + 2 + 10 + 6 + 3 + 7 + 3/8

=36/8

4.5

to calculate the given data must be arranged in ascending to descending order . So , the data are

2 , 3 , 3 , 3 , 5 , 6 , 7 , 10

Median = N + 1/2    (N means no of data)

=8 + 1/2

=9/2

=4.5

=(4 + 5) th term / 2

=3 + 5/2

=8/2

=4

Answer:

The desired distance is √5

Step-by-step explanation:

Recall that the distance from a point to a line is measured along a path perpendicular to the line.  Thus, given the line y = -2x + 5, the slope of any line perpendicular to it is the negative reciprocal of -2:  +1/2.

The line perpendicular to y = -2x + 5 and passing through (4, 2) is

y - 2 = (1/2)(x - 4), or

2y - 4 = x - 4, or 2y = x, or y = (1/2)x.

Now our problem becomes "find the length of the line connecting (4, 2) and the intersection of y = -2x + 5 and y = (1/2)x."  

Equating these, we get (1/2)x = -2x + 5, which, if multiplied through by 2, becomes x = -4x + 10, or 5x = 10, or x = 2.  If x = 2, then y = (1/2)(2) = 1.

Finally, find the distance between (2, 1) and (4, 2):

Using the Pythagorean Theorem, d = √(2^2 + 1^2) = √5

The distance from (4, 2) to the line y = -2x + 5 is √5

9514 1404 393

Answer:

Step-by-step explanation:

The lengths of the sides can be found using the distance formula.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  AC = √((0 -(-2))^2 +(8 -2)^2) = √(4+36) = 2√10

  BC = √((0 -6)^2 +(8 -2)^2) = √(36+36) = 6√2

The distance AB is the difference of the x-coordinates of the points: 6-(-2) = 8.

Then the perimeter is ...

  P = a + b + c = 6√2 +2√10 +8 = 8.49 +6.32 +8 = 22.81 . . . units

__

The height of the triangle is the difference in y-values between vertex C and line AB: 8 -2 = 6. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(8)(6) = 24 . . . square units

Answer:

the sales tax percentage is 6%

Step-by-step explanation:

To solve this you want to first find what percent $95.40 is of $90. Then we can subtract 100% to find the extra percent (the sales tax).

95.40 is what percent of 90?

95.40 = X · 90

Divide by 90 on both sides.

1.06 = X

So now we know that 95.40 is 106% of 90. We subtract 100% from 106% to get 6%. Therefore the sales tax percentage is 6%.

Answer:

c. -oo < x < -1

Step-by-step explanation:

according to the graph the function possitive

=> y > 0 , and x < -1

Answer:

$26 per person or $23.125 per person for the bigger group

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]

[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]

[tex]= (2017^2 - 2016^2)[/tex]

[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]

Answer:tu culo

Step-by-step explanation:

Answer: When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x).

Reflection in the y -axis:

The rule for a reflection over the y -axis is (x,y)→(−x,y) .

Reflecting over any other line. Notice how each point of the original figure and its image are the same distance away from the line of reflection (x = –2 in this example).

It is simple enough to identify whether or not a given function f(x) is a linear transformation. Just look at each term of each component of f(x). If each of these terms is a number times one of the components of x, then f is a linear transformation. are linear transformations.

First shift three units to the left, so the line of reflection becomes the y axis, then flip, and finally remember to shift three units back to the right to put the center line back where it belongs. (This gives the f(6−x) solution you already know).

More information for you..

https://youtu.be/TPU5IyCUGuA

https://youtu.be/JHQtA6R7fYc

https://youtu.be/LR6f23gY3qk

[tex]\color{yellow}{}[/tex]

Answer:

x = 9.9 in.

Step-by-step explanation:

area of triangle = base * height /2

49 = x*x /2

49*2 = x^2

98 = x^2

[tex]\sqrt{98}[/tex] = x

[tex]7\sqrt{2}[/tex] = x

9.9 = x

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

  x + y = 85 . . . . . combined weight of a large and small box

  70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

  (70x +50y) -50(x +y) = (5350) -50(85)

  20x = 1100 . . . . simplify

  x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

  55 +y = 85

  y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.

Answer:

$0.34/pound

Step-by-step explanation:

1 ton = 2000 pounds

3 tons = 6000 pounds

-------------------------

2040/6000 = $0.34/pound

Answer:

median is the middle value

mean is the average

mode is the one that occurs most

range is the highest number - lowest number

Answer:

9-x/4=2

[tex] \frac{36 - x}{4} = 2[/tex]

[tex]36 - x = 2 \times 4[/tex]

[tex]36 - x = 8[/tex]

[tex] 36 - 8 = x[/tex]

[tex]28 = x[/tex]

[tex]x = 28[/tex]

9 - x/4 = 2

(36 - x)/4 = 2

36 - x = 8

36 - 8 = x

x = 28

I hope you understand...

Mark me as brainliest...

Answer:

10 quarts

Step-by-step explanation:

.1(8) + 1(x) = .6(x + 8)

.8 + x = .6x + 4.8

.4x = 4

x = 10

10 quarts

Answer:

Answer is 6.1 units

Step-by-step explanation:

The measure of length of AB in the triangle ABC is 6.1 units.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In the given triangle ABC, BC=5 and ∠A=55°.

We know that, sinθ= Opposite leg length/Hypotenuse length

Here, sinA=BC/AB

sin55°=5/AB

0.82=5/AB

AB=5/0.82

AB=6.1 units

Therefore, the measure of length of AB in the triangle ABC is 6.1 units.

Learn more about the trigonometric ratios here:

brainly.com/question/25122825.

#SPJ2

Answer:

B. [tex]\sqrt{16} *\sqrt{4}[/tex]

Step-by-step explanation:

[tex]=\sqrt{16*4}[/tex]

[tex]=\sqrt{64}[/tex]

[tex]=8[/tex]

--------------------

[tex]=\sqrt{16} *\sqrt{4}[/tex]

[tex]=4*2[/tex]

[tex]=8[/tex]

--------------------

Hope this helps.

Answer:

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Step-by-step explanation:

Zero of a polynomial:

The zeros of a polynomial are the values of the independent variable(in this case y) for which the polynomial is 0.

Polynomial 2y - 3

The zero is given by:

[tex]2y - 3 = 0[/tex]

[tex]2y = 3[/tex]

[tex]y = \frac{3}{2}[/tex]

The zero of the polynomial is [tex]y = \frac{3}{2}[/tex]

Answer:

The equation must include -8 as the slope

Step-by-step explanation:

Hi there!

Two key points to keep in mind:

Given the equation y=-8x+6, we can identify that -8 is in the place of m in y=mx+b, making it the slope.

For a line to be parallel to y=-8x+6, it would have to have a slope of -8 as well. This is the only quality a line needs to be parallel to this given line.

I hope this helps!

Answer:

50,000

Step-by-step explanation:

in my opinion I would think this would be the answer because you are rounding to the nearest 10,000

Answer:

-14

Explanation:

Elasticity of demand is the degree of change in demand after a change I'm price, basically demand's sensitivity to price change.

Formula for calculating price elasticity is: change in price/change in quantity =dq/dp

Since we are given p²+2p+q=49 and not initial and current amount of price and quantity, we differentiate to find demand elasticity, thus:

2p+2+dq/dp=0

dq/dp=-2p-2

Given p =6, we substitute:

dq/dp=-2×6-2

dq/dp=-12-2

dq/dp=-14

With a demand elasticity of -14 there is an inverse relationship between price and demand. While price increases, demand falls.

(1,3) ez la respuesta

Step-by-step explanation:

please type the question properly