Anthony has 115 book in his room .He is storing them in boxes .Each box holds 17 book .How many boxes does Anthony need?

To determine what percent 2/3 is of 1/4, convert both fractions to percent form, where 1/4 is 25%. Converting 2/3 to a percent gives approximately 66.67%, and dividing this by 25% gives 266.68%. Thus, 2/3 is 266.68% of 1/4.

To find out what percent 2/3 is of 1/4, you first need to express the fractions in a way that allows comparison. A standard way of expressing a fraction as a percent involves having a denominator of 100. Since you know 1/4 equals 25 percent, you can use this as a basis for comparison with 2/3.

To convert 2/3 to a decimal, divide the numerator by the denominator: 2 divided by 3 equals approximately 0.6667. To then convert that decimal to a percent, multiply by 100, getting approximately 66.67 percent. To find what percent 2/3 is of 1/4, divide 66.67 by the percent value of 1/4, which is 25, and then multiply by 100 to get the percentage. This gives you (66.67 / 25) x 100 = 266.68 percent. So, 2/3 is 266.68 percent of 1/4.

Answer: a0 =$97.5  ; a1 =$87.96 ; a2=$282.48; a3=$1,722.5 ; a4=$1,553.96 ; a5=$4,990.48

Step-by-step explanation:

Hi, to solve this problem we have to multiply each total by the commission in decimal form (6 / 100= 0.06).

So:

$1625 x 0.06 = $97.5

$1,466 x 0.06 =$87.96

$4,708 x 0.06 =$282.48

And finally, to obtain the total costs we have to add to each total the commission of the total.

$1625 + $97.5 = $1,722.5

$1,466 +$87.96 = $1,553.96

$4,708 +$282.48 = $4,990.48

Feel free to ask for more if it´s necessary or if you did not understand something.

Answer:

The measure of the arc CBA is equal to 190°

Step-by-step explanation:

95 x 2 = 190

x = 3

y = 15

Let's establish the proportion below to find the value of x and y

XP / DN = XS / DF = PS / NF

Since only 2 sides of XPS is given, then

Therefore,

4y = 60

y = 60 / 4

y = 15

17x = 57

x = 57 / 17

x = 3

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The value corresponding to the 90th percentile (p90) is 94.84. Option  A is correct.

To find the value corresponding to the 90th percentile (p90), we first need to find the standard deviation of the scores.

We know that the third quartile (Q3) is 83, which corresponds to the 75th percentile (p75). Since the distribution is approximately normal, we can use the properties of the normal distribution to find the standard deviation.

In a standard normal distribution, the value corresponding to the p75 is approximately 0.6745 standard deviations above the mean. So, we can set up the following equation:

70 + 0.6745 * standard deviation = 83

Now, solve for the standard deviation:

standard deviation = (83 - 70) / 0.6745 ≈ 19.3047

Next, to find the value corresponding to the p90, we use the properties of the normal distribution again. The value corresponding to the p90 is approximately 1.2816 standard deviations above the mean.

Now, calculate p90:

p90 = 70 + 1.2816 * standard deviation
       ≈ 70 + 1.2816 * 19.3047
       ≈ 94.84

Rounding to two decimal places, we get p90 ≈ 94.84. So, the answer is (a) 94.84.

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To find p90 in a normally distributed set of scores, we need to find the standard deviation. Using the mean and q3, we can find the IQR and estimate the standard deviation. Finally, we can use the standard deviation to find the value corresponding to the 90th percentile.

To find the value of p90 in a normally distributed set of scores, we need to first find the standard deviation of the scores. We know that the mean is 70 and q3 (the third quartile) is 83. Using the formula for the interquartile range (IQR = q3 - q1), we can calculate the value of q1. Subtracting q1 from q3 gives us the IQR. Since the distribution is approximately normal, we can assume that the IQR is approximately 1.35 times the standard deviation. Dividing the IQR by 1.35 gives us the standard deviation. Finally, we can use the standard deviation to find the z-score corresponding to the 90th percentile and then find the corresponding value in the original distribution using the mean and standard deviation. The correct answer is option (a) 94.84.

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total of the fine = C

you would need to multiply the amount of the fine by the number of days

 so the equation would be C=Fd

To obtain the image of triangle ∆PQR after a 180° rotation about the origin, we applied the rotation formula to each vertex, resulting in the new coordinates P'(-1, 1), Q'(-3, 2), and R'(-3, 4). Connecting these points forms the rotated triangle ∆P'Q'R'.

To draw the image of triangle ∆PQR after a 180° rotation about the origin, we'll need to find the new coordinates of the vertices P', Q', and R'. The general formula for rotating a point (x, y) by 180° about the origin is to negate both the x and y coordinates, resulting in the point (-x, -y). Let's apply this formula to each vertex:

Vertex P(1, -1) is rotated to P'(-1, 1).

Vertex Q(3, -2) is rotated to Q'(-3, 2).

Vertex R(3, -4) is rotated to R'(-3, 4).

Now, we have the new coordinates for the vertices of the rotated triangle ∆P'Q'R'. Let's plot these points on a coordinate plane:

P'(-1, 1)

|

|

| Q'(-3, 2)

| /

|/

R'(-3, 4)

The triangle ∆P'Q'R' is formed by connecting these three points, and it is the image of ∆PQR after a 180° rotation about the origin.

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The value of x would be equal to (180-y)/2

An equation represents equality of two or more mathematical expression.

To solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as- 180=2x+y

Now solving;

180=2x+y

180=2x+y

180-y=2x

(180-y)/2=x

x = (180-y)/2

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Final answer:

Marginal tax rate refers to the tax rate applied to each additional dollar of income. Individuals pay according to the bracket their income falls into, with higher rates applying only to income that exceeds certain thresholds. An example includes a single taxpayer earning $35,000 a year being in the 15% marginal tax rate bracket.

Explanation:

The student's question relates to understanding marginal tax rates and how they apply to an individual's income. Marginal tax rate is the tax rate incurred on each additional dollar of income, meaning as you earn more, you generally pay a higher tax rate on your incremental earnings beyond certain thresholds. However, it's important to note that lower tax rates apply to lower income brackets, meaning individuals pay progressively more only on the income that falls within higher brackets.

For instance, consider the marginal tax rate structure where the first $9,075 of income is taxed at 10%, the income from $9,075 to $36,900 at 15%, and income beyond $36,900 at 25%. If a single taxpayer earns $35,000 a year, their marginal tax rate is 15% because their last dollar earned falls into the 15% tax bracket. However, not all their income is taxed at 15%; the income up to $9,075 is taxed at 10%, and only the income over $9,075 up to $35,000 is taxed at 15%.

The cube of a positive number divided by its square simplifies to the number itself, based on the exponent subtraction rule in algebra.

The question involves a mathematical concept where the cube of a positive number is divided by the square of the same number. Mathematically, if we denote the positive number as 'x', then the expression would be x3/x2. According to the laws of exponents, when we divide two powers with the same base, we subtract the exponents. Thus, x3/x2 = x3-2 = x. This implies that the cube of 'x' divided by the square of 'x' simplifies to just 'x'. This is a fundamental mathematical operation under the topic of exponentiation and simplification of algebraic expressions.

Answer:

Biweekly salary is $ 720.

Step-by-step explanation:

Given,

Annual salary = 18,720,

Number of weeks in a year = 52,

Thus, the number of bi weeks in a year = [tex]\frac{52}{2}[/tex] = 26,

Hence, the biweekly salary = [tex]\frac{\text{annual salary}}{\text{Number of bi weeks in a year }}[/tex]

[tex]=\frac{18720}{26}=\$ 720[/tex]

71,000 *(1-0.15)^10 =

71,000*0.85^10 =

$13,978.08

we apply the exponential decay formula leading to an estimated worth of approximately $13,978.37 in 2013.

To calculate the value of a BMW that cost $71,000 in 2003 and depreciates at a rate of about 15% per year for 10 years, we will use the formula for exponential decay, which is:

V = [tex]P(1 - r)^t[/tex]

Where:

V is the final value after depreciation

P is the principal amount ($71,000)

r is the rate of depreciation (15%, or 0.15)

t is the time in years (2013 - 2003 = 10 years)

So, our calculation will be:

V = $71,000 *[tex](1 - 0.15)^{10}[/tex]

V = $71,000 * [tex](0.85)^{10}[/tex]

V = $71,000 * 0.19687

V ≈ $13,978.37

Therefore, the BMW would be worth approximately $13,978.37 in 2013.

when x is on 2

 y is on -3

 answer is y=-3

x = number of desks needed to make

equation:  150 +15.50x >= 400

solution:

150 +15.50x >=400

15.50x = 250

x = 250/15.50 = 16.129

he needs to assemble 17 desks

15.50*17 = 263.50 +150 = $413.50