Tran has a credit card with a spending limit of $2000 and an apr (annual percentage rate) of 12%. during the first month, tran charged $450 and paid $150 of that in his billing cycle. which expression will find the amount of interest tran will be charged after the first month? (0.01) (300 dollars) (0.01) (450 dollars) (0.12) (300 dollars) (0.12) (450 dollars)

Answer:

0.16

Step-by-step explanation:

Answer: A random variable.

Step-by-step explanation:

a numerical description of the outcome of an experiment is called a random variable.

The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.

The probability of renting exactly three apartments in a week is given by the Poisson probability function:

\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)

Substituting the values, we get:

\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)

P(X = 3) = (0.09963 * 12.167) / 6

P(X = 3) = 0.2018

Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

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Therefore , the ratio of 3 1/2 to 4 3/8 is 2/5 in its simplest version when expressed as a ratio of whole numbers using fractional notation.

The simple procedure "a / b," where such "b" may be greater than zero, finds a set of integers "a" and instead "b" that appear to be equal. Two ratios are combined to form a ratio. If there were only one man and three ladies, the ratio would be 1:1. In the group, there are 3/4 women and 1/4 males. The term "parts" can refer to a fraction between things, a quantity, or a particular physical share of a component.

Here,

First, let's make both mixed numbers into improper fractions:

=>  3 1/2 = 7/2 \s4 3/8 = 35/8

The ratio can now be expressed as a fraction:

=>  (7/2) / (35/8)

We can multiply by a fraction's reciprocal to divide by that fraction:

=>  (7/2) * (8/35)

If we simplify, we get:

=>  (1 * 7 * 4) / (2 * 5 * 7) = 28/70

By dividing the numerator and denominator by their 14 largest common factor, we can simplify this fraction:

=> 28/70 = 2/5

As a result, the ratio of 3 1/2 to 4 3/8 is 2/5 in its simplest version when expressed as a ratio of whole numbers using fractional notation.

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Complex numbers are represented on a cartesian coordinate system with a horizontal real axis and a vertical imaginary axis.

Any number that can be expressed as a+bi, where i is the imaginary unit and a and b are the real numbers, is a complex number. The number is made up of two parts: real part (a) and imaginary part (b).

Just like we can use the number line to visualize a set of real numbers, we can use the complex plane to visualize a set of complex numbers. The complex plane consists of two number lines intersecting at a right angle at the point (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.

The horizontal number line (what we know as the xxx-axis on a Cartesian plane) is the real axis. The imaginary axis is the vertical number line (the yyy-axis on a Cartesian plane).A point in the complex plane can represent every complex number.

For example, consider the number 3-5i3−5i3, minus 5, i. This number, also expressed as 3+(-5)i, has a real part of 3 and imaginary part of -5. The location of this number on the complex plane is the point that corresponds to 3 on the real axis and -5 on the imaginary axis.

So the number 3+(-5) corresponds with the point (3,-5). In the general complex number, a+bi corresponds to the complex plane's point(a,b).

Hence, complex numbers are represented on a cartesian coordinate system with a real horizontal axis and an imaginary vertical axis.

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The rate of change of the hypotenuse is 9.5 inches per second.

The rate of change of the hypotenuse of a right triangle can be calculated using the Pythagorean theorem. The theorem states that for a right triangle with sides of length a, b, and c (where c is the hypotenuse), a2 + b2 = c2.

In this case, we know that the two legs are 3 inches and 4 inches, and that the short leg is increasing by 7 in/sec and the long leg is growing at 9 in/sec.

Using the Pythagorean theorem, we can calculate the rate of change of the hypotenuse. We can set up the equation as follows: c2 = 32 + 42, where c is the hypotenuse. Solving for c, we get: c = √(32 + 42).

To calculate the rate of change of the hypotenuse, we need to take the derivative of the equation. Taking the derivative of the equation, we get: c' = (7/2) * (3/c) + (9/2) * (4/c).

Plugging in our values, we get: c' = (7/2) * (3/5) + (9/2) * (4/5). Simplifying, we get: c' = 9.5 in/sec.

Therefore, the rate of change of the hypotenuse is 9.5 inches per second.

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The partial fraction decomposition of the rational expression\(36x^2\) - 10x can be written as: (\(36x^2\) - 10x)/(ax + b) = A/(ax + b) +Bx/(ax + b) where A and B are constants to be determined.

This form of the partial fraction decomposition separates the rational expression into two simpler fractions, where the denominator is a linear factor of the form ax + b. The first fraction has a constant numerator (A), and the second fraction has a linear numerator (Bx).
To solve for the constants A and B, the expression can be rewritten as:
\(36x^2\) - 10x = A(ax + b) + Bx(ax + b)
Expanding the right side and equating coefficients of \(x^{2}\) and x, we get the following system of equations:
36 = aA
-10 = bA + aB
These equations can be solved for A and B once the values of a and b are known. However, since the problem instructs us not to solve for the constants, we can leave the expression in the form of the partial fraction decomposition without determining the values of A and B.

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The probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

To solve this problem, we can use Bayes' theorem, which relates the conditional probabilities of two events.

Let A be the event that the athlete has been using the prohibited drug, and let B be the event that the athlete tests positive.

We want to find the probability of A given B, which we can write as P(A | B).

Using Bayes' theorem, we have:

P(A | B) = P(B | A) * \(\frac{P(A) }{P(B)}\)

where P(B | A) is the probability of testing positive given that the athlete has been using the prohibited drug, P(A) is the prior probability of the athlete using the prohibited drug, and P(B) is the overall probability of testing positive, which can be calculated using the law of total probability:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the athlete has not been using the prohibited drug, and P(not A) is the complement of P(A), i.e., the probability that the athlete has not been using the prohibited drug.

Using the given information, we can plug in the values:

P(B | A) = 1 - 0.12 = 0.88 (probability of testing positive given the athlete is using the drug)

P(A) = 0.05 (prior probability of the athlete using the drug)

P(B | not A) = 0.04 (probability of testing positive given the athlete is not using the drug)

P(not A) = 1 - P(A) = 0.95 (probability that the athlete is not using the drug)

Then, we can calculate P(B) as:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

= 0.88 * 0.05 + 0.04 * 0.95

= 0.076

Finally, we can calculate P(A | B) as:

P(A | B) = P(B | A) * \(\frac{P(A) }{ P(B)}\)

= 0.88 * \(\frac{0.05 }{ 0.076}\)

= 0.5789

Therefore, the probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

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The probability is given by -0.004 , that the mean of the sample would differ from the population mean by less than 0.9 watts.

Normal distribution also known as the Gaussian probability, is a probability distribution that is symmetric about the mean, showing that data bear the mean are more frequent in occurrence than data far from the mean.

In a set with mean μ and standard deviation (which is the square root of the variance) σ , the z score of a measure X is given by:

Z =X-μ/σ

we have given μ = 495

σ =root(100),   n = 85

This is the p-value of Z when X = 495 +1.7 =496.7 subtracted by the p-value of Z when X = 495 - 1.7 = 493.3

When X = 496.7

Z =X-μ/10

Z = 496.7 -495/10

Z = 0.447 p-value = 0.447

When X = 493.3

Z =X-μ/σ

Z = 493.3- 495/10

=- 0.443 p-value

0.443 - 0.447= -0.004

Hence the probability is -0.004.

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Answer:

3, 2, 1, 0, literally anything below 4

Step-by-step explanation:

The "mouth" < or > eats the bigger number, if 4 is bigger than x, x must be smaller than 4

Answer:

$90.95

Step-by-step explanation:

$25+$60=$85

$85x0.07=$5.95

$85+$5.95=$90.95

Answer: $90.95

60+25= 85

85*.07= 5.95

85+5.95= 90.95

1. The circumference of a donut is 11 inches.

2. There are 360 square inches in 2.5 square feet.

3. The length, width, and height of the new box should be 4 inches, 4 inches, and 2 inches.

4. The area of the bottom of the new box is 16 square inches.

5. The surface area of the new box is 48 square inches.

6. Yes, the new box does cost less than the original box.

1. The circumference of a donut is 11 inches. This is calculated by multiplying the diameter of 3.5 inches by pi (3.14).

2. There are 360 square inches in 2.5 square feet. This is calculated by multiplying 144 square inches by 2.5.

3. The length, width, and height of the new box should be 4 inches, 4 inches, and 2 inches. This is calculated by adding 1/2 inch to the diameter of the donut (3.5 inches) and the height of the donut (1.5 inches).

4. The area of the bottom of the new box is 16 square inches. This is calculated by multiplying the length (4 inches) by the width (4 inches). The length and width of the new box meet Dave's requirements because they are both 4 inches, which is 1/2 inch more than the diameter of the donut (3.5 inches).

5. The surface area of the new box is 48 square inches. This is calculated by multiplying the length (4 inches) by the width (4 inches) and multiplying that by the height (2 inches).

6. Yes, the new box does cost less than the original box. This is calculated by multiplying the cost of the original box ($15.00) by 25 (the number of boxes in the original order) and dividing that by 25 (the number of boxes in the new order). The cost of the new box is $12.00, which is less than the cost of the original box.

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Complete the square to write

ax² + bx + c = a (x + b/(2a))² - (b² - 4ac)/(4a)

The quadratic has a double root at x = -b/(2a) if the constant term (b² - 4ac)/(4a) vanishes, which happens if b² - 4ac = 0.

Let A, B, and C be random variables representing the value of the first, second, and third roll of the die. They are independent and identically distributed with PMF

Pr [X = x] = 1/6

if x ∈ {1, 2, 3, 4, 5, 6}, and 0 otherwise.

We want to find

Pr [B² - 4AC = 0]

Note that

B² - 4AC = 0   ⇒   B² = 4AC   ⇒ (B/2)² = AC

which tells us that B must be even, and also that AC is a perfect square. Then there are 5 possible outcomes that satisfy the conditions:

• If B = 2, then AC = 1   ⇒   A = C = 1

• If B = 4, then AC = 4   ⇒   A = 1, C = 4 or A = C = 2 or A = 4, C = 1

• If B = 6, then AC = 9   ⇒   A = C = 3

and there are 6³ = 216 total possible outcomes in the sample space. So,

Pr [B² - 4AC = 0] = 5/216

Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

Answer:

The fourth one is correct.

Step-by-step explanation:

To show the diagonals are congruent, calculate their lengths using the Distance Formula: d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√.

Find the length of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

LN=(0−0)2+(−2−2)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=02+(−4)2‾‾‾‾‾‾‾‾‾‾√

=8‾√

Find the length of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

MO=(−2−2)2+(0−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−4)2+02‾‾‾‾‾‾‾‾‾‾√

=8‾√

Since LN=MO, by the definition of congruent line segments, LN=MO.

To show the diagonals are perpendicular, calculate their slopes using the Slope Formula: m=y2−y1x2−x1.

Find the slope of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

m1=−2−20−0=−40⇒m1 cannot be defined.

Find the slope of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

m2=0−0−2−2

=0−4

=0

The slope of LN cannot be defined, this means that LN is parallel to y-axis. The slope of MO is equal to 0, this means that MO is parallel to x-axis. x and y axis are perpendicular, therefore LN⊥MO.

The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. Diagonal L N is perpendicular to diagonal M O.

To show the diagonals bisect each other, calculate their midpoints using the Midpoint Formula: P(x1+x22,y1+y22).

Find the midpoint of LN.

Substitute 0 for x1, 2 for y1, 0 for x2 and −2 for y2.

P1(0+02,2+(−2)2)=(0, 0)

Find the midpoint of MO.

Substitute 2 for x1, 0 for y1, −2 for x2 and 0 for y2.

P2(2+(−2)2,0+02)=(0, 0)

Both midpoints are the same point on the coordinate plane. This means the two diagonals intersect at their midpoints, or bisect each other.

The figure shows the same square L M N O on a Cartesian plane as in the beginning of the task. The diagonals intersect at point P. Segments L P, P N, M P, and P O are congruent.

Therefore, the diagonals are congruent perpendicular bisectors of each other.

The range of a function is the set of all possible output values (y-values) of the function. To find the range of f(x) = (5/2)^x - 5, we need to find the minimum and maximum values of y that can be obtained by plugging in all possible x values.

To find the maximum value of f(x), we can take the limit as x approaches infinity:

Answer:

X = -52

Step-by-step explanation:

1/3x - 2/3 = - 18

1/3x = - 18 + 2/3

x = (52/3) / (1/3)

x = -52

Answer:

Answer:

6,9,2,4,10

Step-by-step explanation:

There are possible multiples that can be divisible by 54.

The statements that can be used to determine independent events are given as follows:

If two events are independent, the multiplication of the probabilities of each event is equals to the probability of both events, that is:

P(A and B) = P(A) x P(B).

Which means that the first statement is correct.

The conditional probability formula is given as follows:

P(B|A) = P(A and B)/P(A).

However, for independent events, we know that:

P(A and B) = P(A) x P(B).

Hence:

P(B|A) = P(A) x P(B)/P(A).

P(B|A) = P(B).

The same is true for the opposite, meaning that:

P(A|B) = P(A).

Meaning that the last statement is correct.

The Venn probability P(A or B) = P(A) x P(B) - P(A and B) can also be used to determine if the events are independent, when it assumes a value of zero.

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Answer:

29/36pi radians

240 degrees

Step-by-step explanation:

pi  = 180

145/180pi = 29/36pi radians

4/3*180 = 240 degrees

Answer:

Get ahead then

Step-by-step explanation:

Step-by-step explanation:

Shorts cost $16

T-shirts cost $10

So:

16x + 10y ≤ 100

or

y ≤ -1.6x + 10

Then graph y = -1.6x + 10 and x = 2

Part b:

Using the graph, we can infer that there are two possible solutions:

A. 3 pairs of shorts and 4 t-shirts

B. 4 pairs of shorts and 2 t-shirts

6a. X =  number of apples, Y = number of oranges

So:

x + y ≤ 20

0.24x + 0.8y ≤ 12

x ≤ 20 - y

0.24(20 - y) + 0.8 ≤ 12

= 4.8 - 0.24y + 0.8y ≤ 12

= 0.56y ≤ 7.2

y = 12.9 (You can use twelve because there can't be a fraction of an orange.)

x = 7.14 (again, because of fractions, round to 7.)

Therefore, she got 12 oranges and 7 apples.

Part 2:

Question 1:

Both equations are unbounded.

Question 2:

Both equations are unbounded.

Question 3:

Both equations are unbounded.

Question 4:

Both equations are unbounded.

Give me a moment to add question four's graph.

45% of 315 = 141.75

When you are using a % number convert it into a decimal ( 45% would be 0.45 or 55% would be 0.55 ). After you convert it into a decimal you can multiply it by the number ( Here it would be 315 )

0.45 x 315 = 141.75

Answer:

141.75

Step-by-step explanation:

To do this question, first, we can write 45% as 45/100.

Now, we have to multiply.

45/100x315

=141.75

Hope that helped!

:D

Answer:

117

Step-by-step explanation:

f(-9)=-9^2-5(-9)-9

f(-9)=81+45-9

f(-9)=126-9

f(-9)=117

hopes this helps please mark brainliest

To maintain the current capital structure, $6.67 million of the new investment must be financed by common equity.The total market value of Tysseland Company is $80 million, and the new investment is $10 million.

To maintain the capital structure, we need to find the portion financed by common equity. First, calculate the portion financed by debt:

Debt portion = Total market value - Common equity portion

Debt portion = $80 million - Common equity portion

Next, calculate the coupon payment on new bonds:

Coupon payment = New investment * Coupon rate

Coupon payment = $10 million * 7%

= $0.7 million

Since the new bonds are sold at par, the debt portion financed by new bonds is equal to the coupon payment:

Debt portion financed by new bonds = $0.7 million

Now, we can set up an equation to find the common equity portion:

$80 million - Common equity portion = $0.7 million

Common equity portion = $80 million - $0.7 million

= $79.3 million

Finally, subtract the existing common equity from the common equity portion to find the portion financed by common equity:

Portion financed by common equity = Common equity portion - Existing common equity

Portion financed by common equity = $79.3 million - $80 million = -$0.7 million .To maintain the current capital structure, $6.67 million of the new investment must be financed by common equity. The WACC cannot be determined without information on the cost of equity and the cost of debt.

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Answer:

\( \frac{15}{16} \\ \frac{90}{96} \\ \frac{135}{144 } \)

Answer:

15/16, 90/96 and 135/144. hope it helps