Athena's credit card has an APR of 16.99%. If her current monthly balance, before interest, is
$1,567.32, what amount will she be charged for interest?
O $26.63
O $22.19
O $45.00
O $31.19

Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

Answer:

12

Step-by-step explanation:

The number of visits that Jack can make to earn his first free movie ticket will be at least 12 visits

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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The number that has no composite factors is (c) 77

From the question, we have the following parameters that can be used in our computation:

Number = 21

The factors of 21 are 3 and 7

These factors are composite numbers because they are prime numbers

using the above as a guide, we have the following:

The number 77 has no composite factors

This is so because

77 = 7 * 11

These factors are composite numbers because they are prime numbers

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Answer:

3= perimeter=44 area=73

4= perimeter=60 area=209

5= perimeter=32 area=55

Step-by-step explanation:

18x4=72

18+18+4+4=44

11+11+19+19=60

11x19=209

5x11=55

5+5+11+11=32

Test the hypothesis step of the scientific method is he performing.

Making conjectures (hypothetical explanations) is a step in the scientific method. Predictions are then derived from the hypotheses as logical conclusions, and experiments or actual observations are conducted based on those predictions.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

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The number that Bethany thinks of is 104, and 1/13 of that number is 8.

Word problems in mathematics involve arithmetic operations and the use of variables to solve those problems. Word problems are problems we encounter in our daily life and with the use of correct mathematical interpretation, we can provide accurate solutions to them.

Let the number that  Bethany thinks of be (x) for example. So, 6/13 of x is equal to 48.

i.e.

(6/13) * (x) = 48

By dividing both sides with (6/13), we have:

x = 48 ÷ (6/13)

x = 48 × (13/6)

x = 8 × 13

x = 104

Thus, 6/13 of the number that Bethany thinks of that gives us 48 is 104. Now, to find 1/13 of 104, we have:

1/13 × 104

= 8

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Answer:

3

Step-by-step explanation:

Any number and variable combined is a term.

So 8 (#1 - Constant), + 19y (#2 -Coefficient + Variable), - 4z (#3 -Coefficient + Variable)

3 terms - B

In the balance sheet, mortgage notes payable are reported as a long-term liability only.

Mortgage notes payable represent the amount owed by a company for a mortgage loan. These loans are typically long-term obligations that are expected to be repaid over an extended period, often several years. Therefore, mortgage notes payable are classified as long-term liabilities in the balance sheet.

Current liabilities are obligations that are expected to be settled within a short period, usually one year or less. Since mortgage notes payable typically have a longer repayment term, they do not meet the criteria to be classified as current liabilities.

By reporting mortgage notes payable as a long-term liability, the balance sheet provides a clear distinction between the company's short-term and long-term obligations, helping stakeholders understand the company's financial position and obligations over different time horizons.

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The particular solution that satisfies y(1) = -8 is given by:

\(\(y = \pm e^{-6x + \ln(8) + 6}\)\\\(y = \pm e^{-6x + \ln(8)}e^6\)\\\(y = \pm 8e^{-6x + 6}\)\)

To solve the equation xy' - y = -6xy using an appropriate substitution, let's make the substitution u = xy.

Taking the derivative of u with respect to x, we have:

\(\(\frac{du}{dx} = x\frac{dy}{dx} + y\)\)

Substituting this into the original equation, we get:

\(\(x\frac{dy}{dx} + y - y = -6xy\)\\\(x\frac{dy}{dx} = -6xy\)\)

Now, we can divide both sides by x and rearrange the equation:

\(\(\frac{dy}{dx} = -6y\)\)

This is a separable first-order linear ordinary differential equation. We can solve it by separating the variables and integrating.

\(\(\frac{dy}{y} = -6dx\)\)

Integrating both sides, we have:

\(\(\ln|y| = -6x + C\)\)

\(\(\ln|y| = -6x + C\)\)

Now, we can solve for y by exponentiating both sides:

\(\(|y| = e^{-6x + C}\)\)

Since we are given the initial condition y(1) = -8, we can substitute this into the equation to find the value of the constant \(C\).

When x = 1:

\((|-8| = e^{-6(1) + C}\)\\\(8 = e^{-6 + C}\)\)

Taking the natural logarithm of both sides, we get:

\(\(\ln(8) = -6 + C\)\\\(C = \ln(8) + 6\)\)

Therefore, the particular solution that satisfies y(1) = -8 is given by:

\(\(y = \pm e^{-6x + \ln(8) + 6}\)\\\(y = \pm e^{-6x + \ln(8)}e^6\)\\\(y = \pm 8e^{-6x + 6}\)\)

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Answer:

What do you want me to answer?

Step-by-step explanation:

Answer:

x doesn't equal -2/3

Step-by-step explanation:

It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.

We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:

9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015

To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.

Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):

n (in years) = 15.83 / 4 ≈ 3.96

Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

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Answer:

A. $500

C. 7 percent

Step-by-step explanation:

Your problem follows the format of the Simple Interest Formula.

The formula is described as follows: A = P(1 + r*t)

Where P = initial value

r = interest rate as a decimal

t = amount of time.

In your equation of A = 500 ( 1 + 0.07 t )

we can see that 500 represents the P value which is the initial value of the investment.

We can also see that the rate is 0.07. Then converted from a decimal to a percent would be 7 percent.

Answer:

pro video is my work and my

Step-by-step explanation:

vision is pro

Answer:

2

Step-by-step explanation:

When it comes to like terms, they have to end with the same symbol A.K.A variables, exponents, and numbers.

1 + 9 + 3u

There are two terms, constants and variables, constant being 1 and 9 while variable being 3u.

Answer:

77 customers

Step-by-step explanation:

Given data

Percentage of customers= 22%

Total customers= 350

Let us find 22% of 350

=22/100*350

=0.22*350

=77 customers

Answer:

miles/gallons: 80/5 = 48/g

Cross multiply

80g = 240

g = 3 gallons

Step-by-step explanation:

4 gallons will​ Hank's pickup need to travel ​76 miles.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

​Hank's pickup can travel 95 miles on 5 gallons of gas.

95 miles ⇒  5 gallons of gas

76 miles ⇒ X

95X = 76 × 5

X = \(\frac{76(5)}{95}\)

X = 4

4 gallons will​ Hank's pickup need to travel ​76 miles.

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The x(n) in a form that contains no complex numbers is: x(n) = (-1/4)(1/\(2)^n\)u(n) cos(π/4 n) + (3/4)(1/2\()^n\)u(n) sin(π/4 n)

To find x(n) in a form that contains no complex numbers, we can use the inverse Z-transform.

The expression X(z) = \((z^2\) + z) / [(z - 1/2 + j1/2)(z - 1/2 - j1/2)], we can rewrite it as:

X(z) = A / (z - 1/2 + j1/2) + B / (z - 1/2 - j1/2)

where A and B are constants to be determined. To find these constants, we can use partial fraction decomposition.

We multiply both sides of the equation by the denominators:

(z - 1/2 + j1/2)(z - 1/2 - j1/2) * X(z) = A + B

Expanding the left side and simplifying, we get:

\(z^2\) + z = A(z - 1/2 - j1/2) + B(z - 1/2 + j1/2)

Equating the coefficients of like powers of z on both sides, we have:

For \(z^2\) term: 1 = A + B

For \(z^1\) term: 1 = -A - B

For \(z^0\) term: 0 = -(1/2)A + (1/2)B

Solving this system of equations, we find A = -1/2 and B = 3/2.

Now, we can rewrite X(z) as:

X(z) = (-1/2) / (z - 1/2 + j1/2) + (3/2) / (z - 1/2 - j1/2)

Next, we can use the Z-transform property that relates x(n) to X(z) to find x(n):

x(n) = \(Z^-1{X(z)}\)

Using the inverse Z-transform tables or formulas, we can find the inverse Z-transform of each term. The inverse Z-transform of 1 / (z - a) is a^n u(n), where a is a constant and u(n) is the unit step function.

Therefore, applying the inverse Z-transform to each term, we have:

x(n) = \((-1/2)(1/2)^n u(n) e^(jπ/4 n) + (3/2)(1/2)^n u(n) e^(-jπ/4 n)\)

Simplifying further, we get:

x(n) =\((-1/4)(1/2)^n u(n) e^(jπ/4 n) + (3/4)(1/2)^n u(n) e^(-jπ/4 n)\)

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The value of x is 4 which means that the first digit in the sequence is 4, the second digit is 5, the third digit is 6, and so on.

This problem is asking for the value of x in a sequence of 14 digits where the sum of any three consecutive digits is equal to 15. To solve for x, we can use the information provided and basic algebra.

Let's assign a variable to each of the 14 digits in the sequence. For example, let x be the first digit, (x + 1) be the second digit, (x + 2) be the third digit, and so on. Then, the sum of any three consecutive digits must equal 15:

x + (x + 1) + (x + 2) = 15

Expanding and solving for x, we get:

3x + 3 = 15

3x = 12

x = 4

So, the value of x is 4. This means that the first digit in the sequence is 4, the second digit is 5, the third digit is 6, and so on. By continuing this pattern, we can fill in the entire sequence of 14 digits such that the sum of any three consecutive digits is equal to 15.

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(100,000 - 10,000) + 1 count for ( from 10,000 means 10,000 is included in it ) + 1 count for ( to 100,000 means 100,000 is also included in it )

= 90,000 + 1 + 1

= 90,002

The result of the evaluation and simplification of \(f(x)=5x^2+3x is f(x+h)-f(x)/h = h + 3\), which is a line with a slope of 1 and a y-intercept of 3.

The function\(f(x)=5x^2+3x\), when evaluated and simplified, is equal to \(f(x+h)-f(x)/h\). To calculate \(f(x+h)-f(x)/h\), the first step is to subtract f(x) from f(x+h). This will leave us with the expression . After this, we can simplify the expression to \(h^2 + 3\)h. Next, we divide this expression by h which will leave us with h + 3.

This means that our result is \(f(x+h)-f(x)/h = h + 3\). This can be visualized as a line on a graph with a slope of 1 and a y-intercept of 3. This means that as the value of x increases, the value of \(f(x+h)-f(x)/h\)increases by 1 for every increase in x.

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Answer:

3,120,000

there are 52 weeks in a year:

52 x 15 = 780

Now multiply the salary to it:

780 x 4,000 = 3,120,000

I think this is correct

Answer:

d

Step-by-step explanation:

I got it correct so it must be correct

Answer:

x = 1/2

Step-by-step explanation:

mark brainliest

Answer:

2n+3 for ≥0

Step-by-step explanation:

the formula that generate the sequence is

 2n+3

the difference between the arithmetic sequence is 2

2(0)+3

0+3=3

2(1)+3

2+3=5

2(2)+3

4+3=7

2(3)+3

6+3=9

n≥0 means n can start from 0 till infinity

if n is substitute into the formula, it will give the arithmetic sequence which means formula generated is correct



Hope this helps!

Rounding to the nearest ten, the estimated total frog population is approximately 620.

The ratio of marked frogs to the total catch is:

marked frogs / total catch = 7 / 198

Now, we can set up a proportion to find the estimated total frog population:

marked frogs / total catch = 7 / 198

22 / total population = 7 / 198

To solve for the total population, we can cross-multiply:

22 * 198 = 7 * total population

4356 = 7 * total population

Divide both sides by 7:

4356 / 7 = total population

622.29 ≈ total population

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To rotate a point 180° clockwise about the origin, we essentially need to flip the point across the x-axis and then across the y-axis. So the x-coordinate of point A' is -3.

This means that the x-coordinate of the point will become its opposite (negation) and the y-coordinate of the point will also become its opposite.

So, in this problem, we have the point A with coordinates (3, 2). To rotate this point 180° clockwise about the origin, we will negate both the x and y coordinates of the point:

The negation of 3 is -3, so the new x-coordinate of the point will be -3.

The negation of 2 is -2, so the new y-coordinate of the point will be -2.

Putting these together, we get the new coordinate of the point A' as (-3, -2).

So the x-coordinate of point A' is -3.

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First, determine the number of miles covered per day:

Her car already has 45,300 miles on it.

(a)The total number of miles, f(x), Stefanie's car will have been driven after x more days will be:

(b) Stephanie works 4 days a week.

After 3 weeks, the number of days worked = 4 x 3 = 12 days

Therefore, when x=12:

Answer:

Milliliters is 1 Deciliter

Step-by-step explanation: