Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression represents her weekly income when Stephanie generates w dollars in total sales? A180+0.03 w
B 180+0.03+w
C 180(0.03)w
D 180(0.03)+w

When converting gram to kilogram (smaller unit to larger unit), you must divide by 10.  This means that you must move each unit to the left.  For example:

Kilo, hectogram, decagram, gram... you must move 3 steps to the left which means 5500 grams is equal to 5.5 Kilograms

The problem is solved by calculating the relative speed of the minute and hour hands of the clock and their current angular position. The current time when addressed the problem is approximately 10:26.

The problem presents an instance of math calculation with clock hands. Here we'll use the fact that a full rotation of a clock’s hand indicates 360 degrees. In 60 minutes, the minute hand makes a full rotation, moving at a speed of 360/60 = 6 degrees per minute. In 12 hours, the hour hand makes a full rotation, moving at a speed of 360/(12*60) = 0.5 degrees per minute.

Three minutes ago, the hour hand was 3 * 0.5 = 1.5 degrees behind its current position. Six minutes later from now, the minute hand will be 6 * 6 = 36 degrees forward its current position. As per the conditions of the problem, the minute hand will be exactly opposite to the position held by the hour hand three minutes ago in six minutes from now. The opposite position in terms of the clock involves an angle of 180 degrees.

Therefore, the difference between the positions of the minute and hour hands right now = 180 degrees + 1.5 degrees - 36 degrees = 145.5 degrees. As the minute hand moves faster, the speed of the minute hand relative to the hour hand = 6 degrees - 0.5 degrees = 5.5 degrees per minute. Hence, the time required for the minute hand to create an angle of 145.5 degrees from the hour hand = 145.5 / 5.5 ≈ 26.45 minutes.

Therefore, the time now in HH:MM format is 10:26 (approximately), as the time was in the hour of 10.

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Answer: -5 1/4

Step-by-step explanation:

cause im smart

Answer:

its the last graph pictured

The graph of 4x - 3y = 12 is given below.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

The given linear equation is 4x - 3y = 12.

Rearranging it into slope intercept form, we get,

y = 4/3 x - 4

In order to find the points through which it passes, put some of the values of x.

When x = -3, y = -4 - 4 = -8

When x = 0, y = 0 - 4 = -4

When x = 3, y = 4 - 4 = 0

When x = 6, y = 8 - 4 = 4

...........

So the graph passes through (-3, -8), (0, -4), (3, 0) and (6, 4).

Hence the graph of the given equation is given below.

Learn more about Linear Equations here :

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Answer:

The correct answer is The Elements.

This is the right answer for Edmentum and Plato users

Like and Rate

The answer is it is compounded monthly which is 365/yr.

This is done using trial and error but I got it right at the first try.

Solution:

A = P (1+r/n) ^nt

Where:

A is the accrued amount or also known as the future value

P is the principal amount = $5,142

r is the nominal interest rate = 0.038

n is the number of compounding units = 365

t is time = 20

A = 5,142 (1 + 0.038/365) ^ 365(20)

= 5,142 (1.0001041095890410958904109589041)^7300

= 5.142 (2.13819163)

= $10994.58

The given expression, 0.4 times the sum of reciprocals in an arithmetic sequence, is expressed using summation notation. Calculating the numerical value yields approximately 0.5244.

Breaking down the expression and writing it using summation notation:

The given expression is: 0.4 (1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6)

To express it in summation notation, we need to identify the pattern in the sequence.

The terms are reciprocals of an arithmetic sequence, where each term is obtained by adding a constant difference (0.4) to the previous term.

The nth term of the sequence can be expressed as: 2 + 0.4(n-1)

The expression in summation notation is: ∑ (from n = 1 to 5) of 1/(2 + 0.4(n-1))

Calculating the values and finding the sum:

For n = 1: 1/(2 + 0.4(1-1)) = 1/2

For n = 2: 1/(2 + 0.4(2-1)) = 1/2.4

Similarly, for n = 3, 4, and 5, we get 1/2.8, 1/3.2, and 1/3.6, respectively.

Summing these values, we get: Sum = 1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6

Multiplying by 0.4 (as in the original expression), we have: 0.4 * (1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6)

Calculating the numerical value:

0.4 * (1/2 + 1/2.4 + 1/2.8 + 1/3.2 + 1/3.6) ≈ 0.5244

Therefore, the final numerical value of the expression is approximately 0.5244.  

Answer:

theres a 40% chance it will be a boy or a 60% change of a boy.

Step-by-step explanation:

40% because over half the population are girls but for the 60% its more common for boy twins.

hope you understand ^_^

To calculate the height of a tree with a 60-meter long shadow when the Sun is 30 degrees above the horizon, use the tangent trigonometric function. The tree's height is calculated to be around 34.62 meters tall.

The student is asking how to calculate the height of a tree given the length of its shadow when the Sun is 30 degrees above the horizon. This is a trigonometry problem involving a right-angled triangle, where the tree represents the opposite side, the shadow represents the adjacent side, and the angle given is the angle of elevation of the Sun. Since we have the angle and the length of the adjacent side, we can use the tangent trigonometric ratio to find the height of the tree. The tangent of an angle in a right-angled triangle is the ratio of the opposite side to the adjacent side (tangent = opposite/adjacent).

Therefore, the tree is approximately 34.62 meters tall.

Final answer:

The finance charge for John is calculated by multiplying his unpaid balance by the periodic rate. The calculation results in a finance charge of $8.31, which is option A.

Explanation:

John's finance charge on his credit card, based on a periodic rate of 1.75% on an unpaid balance of $475, can be calculated using the formula: Finance Charge = Periodic Rate × Unpaid Balance. To find the finance charge, multiply 1.75% (or 0.0175 in decimal form) by $475. Therefore, the finance charge would be 0.0175 × $475 = $8.3125. When rounded to the nearest cent, this is $8.31, which corresponds to option A.

To solve this problem, we use the t statistic. The z score is calculated as:

z = (x – u) / s

where x is the sample value = 53 and 77, u is the mean score = 65 while s is the standard deviation = 4

when x = 53

z = (53 – 65) / 4 = -3

From the standard distribution tables, the p value at z = -3 is:

P (z=-3) = 0.0013

when x = 77

z = (77 – 65) / 4 = 3

From the standard distribution tables, the p value at z = 3 is:

P (z=3) = 0.9987

The percentage P between the two would be the difference:

P (53 < x < 77) = 0.9987 – 0.0013 = 0.9974

Answer:

0.9974 or 99.74%

From the given information, the sample size is 30 days and the probability is 0.80.

Here, it can be observed that the number of trials is fixed and the probability of success is 0.80. So, apply binomial distribution. The number of trials is fixed and the probability of success is 0.80. So, apply binomial distribution.

The mean of the binomial distribution is obtained below:

Mean = np = 30 * 0.8 = 24

The expected number of days on which all 50 loaves will be sold is 24.

The mean value obtained by multiply the sample size (n) and the probability of success (p). That is, the expected number of days on which all 50 loaves will be sold is 24.

The expected number of days on which all 50 loaves will be sold is 24.