coupon A 45% off of a $73 jacket coupon B $30 rebate on a $73 Jacket

In order to estimate the interest the average househould accumulates in 1 year, you use the following formula:

A = Prt

where P is the initial credit card debt ($7,281), r is the interest rate per period (16.99%) and t is the number of time periods. In this case the value of r is given by the APR, then, there is one period of 1 year.

To use the formula it is necessary to express 16.99% as 0.1699. Thus, you have:

I = 7,281 x 0.1699 x 1

I = 1,237.04

Hence, the interest accumulated is of $1,234.04

EXPLANATION:

The first thing to do in the equation is to interchange the variables in order to do the inverse function and thus solve the equation correctly.

So the equation is as follows:

we have the equation

y=-4

This is a horizontal line (parallel to the x-axis) that passes through the point (0,-4)

see the graph below to better understand the problem

1) Considering that the Area of a rectangle is given as:

2) We can then write the following equation plugging into that the length= 5.

Say the area is "A", then we can find the width this way:

Note that we rewrote that to solve it for w (width).

All we need is to plug into the A the quantity of the area of this rectangle

Thus, the answer is w=A/5

To find the slope of the line we have to use this equation:

Now we have to replace two coordiantes in the line, so I was able to see the coordinates: (0,40) and (20,50), sothe equation become:

and we simplify so:

So the slope is 1/2

We will have the following:

*First: We know that 1 turn will be equal to 360°. So:

So, 3450 turns equal to 1 242 000 degrees.

*Second: We have that the expression to convert degrees to radians is:

Here d represents degrees and r radians. So, we replace the number of degrees and solve for radians:

So, 3450 turns are 6900pi radians.

4) -1/2

1) Rewriting the expression:

2) As a power we can write this way, considering that we can rewrite any radical as a power and that when we have a radical on the denominator we can rewrite it as a negative rational exponent. So we can write it out:

3) Hence, the answer is 4) -1/2

Multiply the given fractions to find the answer, use the given example:

Now, solve the given multiplication:

The answer is 1/3.

To solve this problem, we need to calculate the midpoint for the two points in each option and check if it corresponds to the given midpoint (-3,4).

Calculating the midpoint for the two points of option A.

We have the points:

We label the coordinates as follows:

And use the midpoint formula:

Substituting our values:

Solving the operations:

Since the midpoint is not the one given by the problem, this option is not correct.

Calculating the midpoint for the two points of option B.

We have the points:

We follow the same procedure, label the coordinates:

And use the midpoint formula:

The midpoint for the two points in option B is (-3,4) which is the midpoint given by the problem.

Answer: B (-2,6) and (-4,2)

Answer: 125/3 or about 41.667

Note that you can't have 2/3 of a test tube, so the expected answer may be 42 test tubes.

Step-by-step explanation:

Write a simple algebra equation using the word problem

24x = 1000

x represents the number of test-tubes, each of which hold 24cm^3 of water.  

divide both sides by 24

x = 125/3 or about 41.667

the change of the points is:

so in the 2 days the stock market lost 359 points

The interest that will accrue while the college freshman is still in school and over the 6-month grace period for this freshman year loan is, approximately, B. $2,915.06.

The interest for federal college loans is based on the simple interest formula instead of compounding.

By compounding, we mean that interest is computed on the principal and accumulated interest.

Federal Direct Unsubsidized Loan = $15,100

Number of years for college = 4 years

The number of years before repayment = 4.5 years (4 years + 6 months)

Simple interest for 4.5 years = $2,915.06 ($15,100 x 4.29% x 4.5 years)

On the other hand, one can compute the compounded interest using an online finance calculator.

N (# of periods) = 4.5 years

I/Y (Interest per year) = 4.29%

PV (Present Value) = $15,100

PMT (periodic payment) during the 4.5 years = $0

Results:

FV = $18,241.85

Total Interest = $3,141.85

Thus, the interest is Option B.

Learn more about simple interests at https://brainly.com/question/2294792

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Slope is a measure of its steepness

Mathematically,

Slope = Rise / Run

Rise = y2 - y1

Run = x2 - x1

Slope = y2 - y1 / x2 - x1

Answer:

Suppose a linear equation describes something (say, population growth). The slope is the rate (say, of growth) and the y-intercept gives the starting value.

Step-by-step explanation:

This is a simple question.

First, we can see both triangles are proportional, it means it has the same relation between its sides even if one is in a large scale and the other on a a small scale.

Now we can identify which side corresponds to which side. Once side AC is the longest one for triangle ABC it means its equivalent for triangle PQR is the side RP, so the equivalent for side AB is side QP. Once we know that we can write the following relation and calculate:

GIven:

The equation of a line is 15x+12y=-108.

The objective is to find the slope of the perpencidular line.

It is known that the equation of straight line is,

Here, m represents the slope of the equation and c represents the y intercept of the equation.

Let's find the slope of the given equation by rearranging the eqation.

By comparing the obtained equation with equation of striaght line, the value of slope is,

THe relationship between slopes of a perpendicular lines is,

Hence, the value of slope of perpendicular line to the given line is 4/5.

Let's begin by listing out the information given to us:

Commission (C) = 3.5% = 0.035

Total amount of sales (T) = $3,670

To determine how much Kara made, we will find the product of the commission & total amount of sales:

We therefore, see that Kara made $128.45 from referrals

Since the information required us that the equation has to start in zero we can think of functions like the root of x but also we have to add a value of 1/3. In other words one equation with those characteristics is

So,

Here we have the following trapezoid:

Remember that the area of a trapezoid can be found if we apply the following formula:

Where bases 1 and 2 are the greater and smaller bases respectively.

So, if we replace:

So the area is 38cm^2.

Answer:

y intercept= (0,-3)

slope= 2/1 or simplified 2

Step-by-step explanation:

multiply 2x - y + z = - 2 for 3

then sunstract the equation 1 and 2

multiply -3x+2y+3z=-6 for 2

adding

multiply y+9z=-18 for 6

Subtracting

then solve

answer is: x = 0, y = 0 and z = - 2

Recall that the line equation is of the form

The points lie in the line are (2,5) and (-2,-5).

Setting x=2 and y=5 in the equa

the three integers are 215, 12 and 153

Explanation:

Let the three integers = x, y, and z

x + y + z = 380 ....equation 1

The sum of the first and second integers exceeds the third by 74:

x + y - 74 = z

x + y - z = 74 ....equation 2

The third integer is 62 less than the first:

x - 62 = z ...equation 3

subtract equation 2 from 1:

x -x + y - y + z - (-z) = 380 - 74

0 + 0 + z+ z = 306

2z = 306

z = 306/2

z = 153

Insert the value of z in equation 3:

x - 62 = 153

x = 153 + 62

x = 215

Insert the value of x and z in equation 1:

215 + y + 153 = 380

368 + y = 380

y = 380 - 368

y = 12

Hence, the three integers are 215, 12 and 153

The width of a rectangle is 3/4 its length.

The perimeter of the rectangle is 420 ft.

Recall that the perimeter of a rectangle is given by

Let us substitute the value of the given perimeter and the width

Now simplify and solve for length

Therefore, the length of the rectangle is 120 feet.

Let x be the number of cards Jake and Joshua sell within one hour. Therefore, their earnings are given by the following expressions,

Then, set Ja=Jo (both earn the same amount),

Solving for x,

Then, they will earn the same within one hour only if both sell zero cards within the hour.

Graphing the system of equations,

As one can see, the intersection point is (0,6), which stands for 0 cards and $6

ANSWER

25 + n = 45

EXPLANATION

We have that Carlos already has $25.

His allowance is n. After receiving it, he now has $45.

This means that if we add the amount he had and his allowance, we will have $45.

Therefore:

25 + n = 45

This equation models the situation accurately.

.

The bearing of S from R is given as;

Answer

Explanation

• Range (R): the amount between the upper and lower limit.

Using the z-distribution, it is found that:

a. The 90% confidence interval to estimate of the percentage of yellow peas is: (34.04%, 41.58%).

b. The correct option is: Yes, the confidence interval does not include 0.25, so the true percentage could not equal 25%.

The bounds of a confidence interval of proportions is given according to the equation presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the parameters are described as follows:

The confidence level is of 90%, hence the critical value is z = 1.645, using a z-distribution calculator.

The values of the sample size and of the estimate are given as follows:

[tex]n = 447, \pi = \frac{169}{447} = 0.3781[/tex]

Hence the lower bound of the interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3781 - 1.645\sqrt{\frac{0.3781(0.6219)}{447}} = 0.3404[/tex]

The upper bound is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3781 + 1.645\sqrt{\frac{0.3781(0.6219)}{447}} = 0.4158[/tex]

As a percentage, the interval is given as follows: (34.04%, 41.58%).

The confidence interval does not contain 0.25, hence the true percentage would not be equal to 25%, contradicting the expectation.

A similar problem, also involving the z-distribution, is given at https://brainly.com/question/25890103

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Nominal data refers to non numerical data, for example categories, colors, etc...

Ordinal data refers to numerical data with a natural order, it comprehends real numbers.

Intervals comprehends data with equal distance between the values and no meaningful zero

Ratios comprehends data with equal distance between the values and a meaningul zero value.

With this in mind, the IQ scores of the college students represent numerical data, with a natural order, and the distance between the values is not equal, so you can classify the data as "ordinal"

Answer:

In order of appearance of  boxes

Step-by-step explanation:

The given function f(x) = -2x² + 3 belongs to the quadratic family of equations. A quadratic equation has a degree of 2. The degree is the highest power of the x variable in the function f(x)

The parent f(x) = x²

Going step by step:

2x²  ==> graph x² is vertically stretched by 2. For any value of x in x², the new y value is twice that the old value. For example, in the original parent function x², for x = 2, y = 4. In the transformed function 2x², for x = 2, y = 2 x 4 = 8 so it has been stretched vertically. It becomes skinnier compared to the original

-2x²  => graph is reflected over the x-axis. It is the mirror image of the original graph when viewed from the x-axis perspective

-2x² + 3 ==> graph is shifted vertically up by  3 units

Domain is the set of all x-input values for which the function is defined. For both x² and -2x² + 3 there are no restrictions on the values of x. So the domain for both is the set of all real numbers usually indicated by
-∞ < x < ∞

The range is the set of all possible y values for a function y = f(x) for x values in domain.

The range of f(x) = x² is x≥ 0 since x² can never be negative

Range of -2x² + 3 is  x ≤ 3 : Range of -2x² is y ≤ 0 since y cannot be negative and therefore range of -2x² + 3 is y ≤ 3