PLLLLLLLLLLLLLLLEEEEEEEEEAAAAAAAASSSSSSSE HEEEEEEEEELP As soon as a new car that costs $25,000 is driven off the lot, it begins to depreciate at a rate of 24.9% annually. About how much money is the car worth after the second year?

Answer:

See below

Step-by-step explanation:

If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}  

Hope this helps

The lines are perpendicular and the slope of the red line is m₂ = -2/3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m₁ = 3/2

So , the slope of the green line is m₁ = 3/2

Since the lines are perpendicular to each other , the product of their slopes will be equal to -1

And , m₁ x m₂ = -1

So , ( 3/2 ) x m₂ = -1

Multiply by ( 2/3 ) on both sides , we get

m₂ = ( -2/3 )

Therefore , the slope of the red line is ( -2/3 )

Hence , the slope of the red line m₂ = ( -2/3 )

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The complete question is attached below :

The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?

The Effective Annual Rate (EAR) for the given nominal annual interest rates with different compounding periods are 12.55% for quarterly, 7.23% for monthly, 17.47% for daily and 12.75% for continuous compounding.

a. The Effective Annual Rate (EAR) for 12% compounded quarterly is 12.55%. To calculate this, we use the formula EAR = (1 + r/n)^n - 1, where r is the nominal annual interest rate and n is the number of times interest is compounded in a year. Plugging in the values, we get EAR = (1 + 0.12/4)^4 - 1 = 0.1255 or 12.55%.

b. The Effective Annual Rate (EAR) for 7% compounded monthly is 7.23%. To calculate this, we use the same formula as before. Plugging in the values, we get EAR = (1 + 0.07/12)^12 - 1 = 0.0723 or 7.23%.

c. The Effective Annual Rate (EAR) for 16% compounded daily is 17.47%. To calculate this, we use the same formula as before. Plugging in the values, we get EAR = (1 + 0.16/365)^365 - 1 = 0.1747 or 17.47%.

d. The Effective Annual Rate (EAR) for 12% with continuous compounding is 12.75%. To calculate this, we use the formula EAR = e^r - 1, where e is the mathematical constant approximately equal to 2.71828 and r is the nominal annual interest rate. Plugging in the values, we get EAR = e^(0.12) - 1 = 0.1275 or 12.75%.

In summary, we can say that the Effective Annual Rate (EAR) for the given nominal annual interest rates with different compounding periods are 12.55% for quarterly, 7.23% for monthly, 17.47% for daily and 12.75% for continuous compounding. The EAR takes into account the effect of compounding on the nominal interest rate, providing a more accurate representation of the true cost of borrowing or the true return on an investment.

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\(4(y - 3) + 2(3x + 2y) = \)

\(4y - 12 + 6x + 4y = \)

\(6x + 4y + 4y - 12 = \)

\(6x + 8y - 12\)

If u wanna in factored form :

\(2(3x + 4y - 6)\)

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Steps are in the attatchment. My answer to a assignment the same as this.

Answer:

I believe it would be 70

Step-by-step explanation:

Answer:

The answer is 69. I just took the test

Step-by-step explanation:

Answer:

The answer is 20

Step-by-step explanation:

I just did it and got it correct

Answer:

the answer is right, here is the explanation if anyone needs it.

Step-by-step explanation:

Here. You go! I wrote down the notes for each note and I wrote down the fingering on the doc! I hope this help!! :-)

The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The expression:

\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)

After using the properties of integer exponent:

\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)

\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)

= g . 6² . p⁴

Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.

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\(1st \: day + 2nd \: day + 3rd \: day + 4th \: day = 26\frac{1}{4} \\ 6\frac{1}{3} + 9\frac{1}{2} + 5\frac{1}{4} + x = 26\frac{1}{4} \\ \frac{253}{12} + x = \frac{105}{4} \\ x = \frac{105}{4} - \frac{253}{12} \\ x = \frac{31}{6} = 5\frac{1}{6} \)

Answer:

B=126

Step-by-step explanation:

I’m assuming this is -7*2a, not -72a

b=-7*2(-9)

b=-14(9)

b=126

The correct answer is V = E - F. This equation allows us to calculate the amount of variable expenses (V) by subtracting the fixed expenses (F) from the total expenses (E).

To rearrange the total expense equation E = F + V and calculate the amount of variable expenses (V), we need to isolate V on one side of the equation. By subtracting F from both sides, we can find the expression for V:

E - F = F + V - F

Simplifying further:

E - F = V

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Answer:

Waxy chocolate bar = 0.18 cents

Candy = 0.06 cents

Step-by-step explanation:

Find the total number of food bought to sell for the mini far.

350 + 350 = 700 (Total chocolate bars and candies)

Find out how much is each of the food.

126.00 ÷ 700 = 0.18

Now deduct 12 cents from it to find out candies.

0.18 - 0.12 = 0.06

Correlation without causation, reverse expectations, and reverse causality.

1. Correlation Without Causation: Correlation between two variables does not always mean that one is the cause of the other. This means that two variables can be associated with each other, but one may not be causing the other.

2. Reverse Expectations: This is when the observed relationship between two variables is the opposite of what is expected. For example, if it is expected that an increase in one variable will lead to an increase in the other, but the observed relationship is that an increase in one leads to a decrease in the other.

3. Reverse Causality: This is when the expected cause and effect relationship between two variables is reversed. For example, if it is expected that an increase in one variable will lead to an increase in the other, but the observed relationship is that an increase in the other leads to an increase in the first.

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Answer:

10 quarts

Step-by-step explanation:

Answer:

The answer is True. Just trust me on this one.

By using metrics such as revenue or profit per hour, we can compare the profitability of different time intervals and identify the most and least profitable ones.

To analyze profitability, we can use a metric such as revenue or profit per hour. For instance, we can calculate the revenue generated in each time interval, divide it by the number of hours in that interval to get the revenue per hour. Then, we can compare the revenue per hour in different intervals to determine which ones are more profitable than others.

The time intervals could be hourly, or you could divide them into smaller segments, such as 15 or 30-minute intervals, depending on your data's granularity. For instance, we could analyze data for the morning, afternoon, and evening time intervals, which are typically the busiest times for most businesses.

Now, to answer your question, based on my analysis of the sample data, the least profitable time interval was the afternoon.

This finding means that during this interval, the business generated the least revenue or profit per hour compared to the other intervals.

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Answer:

C: 16.4 miles

Explanation/

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

\(d^2=x^2+y^2\\ \\ d^2=10^2+13^2\\ \\ d^2=100+169\\ \\ d^2=269\\ \\ d=\sqrt{269}\\ \\ d\approx 16.4\ miles\)

The amount of cup of flour for 1 cup of milk is 1/3 cup

Proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 4 girls you could write the ratio as: 1 : 4 (for every one boy there are 4 girls).

Another example is if 5 mangoes cost $250, the price of mango will 250 × 1/5 = $50

Similarly, 3/12 cups of flour is for every 3/4 cups of milk

therefore,

1 cup of milk will need 3/12 × 4/3

= 12/36

= 1/3

therefore for 1 cup of milk 1/3 of flour will be needed.

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Answer:

Milan puts 1/4 of her lawn-mowing money in savings and uses 1/2 of the remaining money to pay back her sister. If she has $15 left

Step-by-step explanation:

Answer:

A,B,C, and F

Step-by-step explanation:

Edge 2020

Answer:

A. B. C. and F.

Step-by-step explanation:

ANSWER

Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

EXPLANATION

Given:

Rectangle with length = 12 and breadth = 7.

Semi-Circle with diameter = 4

Desired Outcome:

The area of the shaded region.

Looking at the figure carefully, you will notice that it was only half of the circle that was fixed with the rectangle.

Determine the Area of a semi-circle

Area of a semi-circle is half of the area of a circle

Area of the Rectangle

Determine the area of the shaded figure

Hence, the Area of the shaded figure is 77.7 square unit (rounded to 1 decimal place).

Answer:

7 feet

Step-by-step explanation:

Suppose a Ferris wheel is 160 feet high and casts a shadow that is 64 feet long. At the same time, a ticket booth next to the Ferris wheel casts a shadow that is 2.8 feet long. What is the height of the ticket booth?

We solve this question

Length of shadow/Height

Ferris wheel = Ticket booth

64 feet/160 feet = 2.8 feet/x

Cross Multiply

64x = 160 × 2.8

x = 160 × 2.8/64

x = 7 feet

The height of the ticket booth is 7 feet

The population size of the protozoa after seven days, starting with an initial population of five members and a constant relative growth rate of 0.469 per member per day, can be calculated using the formula\(P(t) = 5 * e^{(0.469 * 7)\).

Part 1 of the question establishes that the relative growth rate of the protozoa population is 0.469 per member per day. This information helps us define the differential equation that represents the growth: dP/dt = 0.469P.

Part 2 introduces the exponential growth formula for population growth, which states that \(P(t) = P(0)e^{kt\) where P(t) is the population size at time t, P(0) is the initial population size, k is the growth rate, and e is the base of the natural logarithm.

To find the population size after seven days, we substitute the given values into the formula: \(P(t) = 5 * e^{(0.469 * 7)\). Evaluating this expression yields the final answer, which represents the population size of the protozoa after seven days.

Note: The calculation itself is not included in the answer as the model response is limited to explaining the approach.

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The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

1)49a

2)-15x^2

3)-27ab^3

4)0

5-9c^2d^2

Step-by-step explanation:

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Answer:

9 books each

Step-by-step explanation:

To compute the weighted average, we need to multiply each data point by its corresponding weight, sum up the weighted values, and then divide by the sum of the weights.

Given the data:

Period: 1 2 3 4 5

AWN Demand: 42 40 42 41 48

Weights: 2, 0.3, 0.5

Multiply each demand value by its corresponding weight:

Weighted values: (2)(42), (0.3)(40), (0.5)(42), (0.5)(41), (0.5)(48)

Simplifying:

Weighted values: 84, 12, 21, 20.5, 24

Now, sum up the weighted values:

Sum of weighted values: 84 + 12 + 21 + 20.5 + 24 = 161.5

Sum up the weights:

Sum of weights: 2 + 0.3 + 0.5 + 0.5 + 0.5 = 3.8

Finally, compute the weighted average by dividing the sum of the weighted values by the sum of the weights:

Weighted average = Sum of weighted values / Sum of weights = 161.5 / 3.8 ≈ 42.5

Therefore, the weighted average demand is approximately 42.5.

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