The value of a book is $150 and decreases at a rate of 4% per year. Find the value of the book after 12 years

Answers

Answer 1
Answer: If it decreases at 4% every year, then its value becomes:

100% - 4% = 96% = 96/100 = 0.96

At the end of the 1 year its value becomes:  150*(0.96)

At the end of the 2 years its value becomes:  150*(0.96)*(0.96) = 150*(0.96)²

At the end of the 3 years its value becomes:  150*(0.96)*(0.96)*(0.96) = 150(0.96)³

So similarly at the end of 12 years, its value becomes 150*(0.96)¹²

=50*(0.96)¹²    simplify with calculator.

≈ 91.91

Value at the end of 12 years becomes ≈ $
91.91

I hope this helps.

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One number is 5 times another. The sum of their reciprocals is 2/5. Determine the smaller number.

Which angle is coterminal to 2pi/3

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the correct answer is -4π/3.

Rewrite the rational expression as an equivalent rational expression so that all expressions have a common denominator. 3/5,9/10,7/15,7/21

Answers

Answer:

126/210, 189/210, 98/210, 70/210

Step-by-step explanation:

find the lowest common multiple

of 5,10,15 and 21=210

42*3, 21*9, 14*7, 10*7

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A farmer is planting a straight row of crops with 3 feet between each plant is 23 are planted what is the distance between the first and last plant

Answers

The distance between the first and last plant is \fbox{\bf{\text{66 feet}}}.

Further explanation:

Given:

A farmer is planting a straight row of crops with 3 feet between each plant.

Calculation:

Consider the number of plant as x.

The number of spaces S between the plants is calculated as follows:

S=x-1                                                                                  ……(1).

Since, the number of plants are 23, Substitute 23 for x in equation (1) to obtain the number of spaces between the plants.

\begin{aligned}S&=23-1\n&=22\n\end{aligned}

Since, the distance between each plant is 3 feet, the distance D between the first and last plant is calculated as follows:

D=3S                                                                                      ……(2)

Substitute 22 for S in equation (2) to obtain distance D between the first and last plant.

\begin{aligned}D&=3\left({22}\right)\n&=66\,\,{\text{feet}}\n\end{aligned}

Thus, the distance between the first and last plant is  \fbox{\bf{\text{66 feet}}}.

Learn more:  

1. Which function has an inverse that is also a function? {(–1, –2), (0, 4), (1, 3), (5, 14), (7, 4)} {(–1, 2), (0, 4), (1, 5), (5, 4), (7, 2)} {(–1, 3), (0, 4), (1, 14), (5, 6), (7, 2)} {(–1, 4), (0, 4), (1, 2), (5, 3), (7, 1)}  

brainly.com/question/1632445  

2. A given line has the equation 10x + 2y = −2. what is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y = ( )x + 12  

brainly.com/question/1473992  

3. what are the domain and range of the function f(x) = 3x + 5?  

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Answer Details :

Grade: Middle School

Subject: Mathematics

Chapter: linear equation

Keywords:Plant, farmer, crops, feet, A farmer is planting, space between the plant is 3 feet, linear equation, straight lines, function, number of spaces.

Final answer:

The distance between the first and last plant in a straight row of 23 crops with a spacing of 3 feet each is 66 feet. This is calculated using the formula: (Number of plants - 1) * Distance between plants.

Explanation:

The problem requires you to find the total distance from the first to the last plant in a row of crops considering that each plant is planted 3 feet apart. This type of problem can be solved by simple arithmetic calculations.

You might think you should simply multiply the number of plants by the distance between them, but this would not provide the correct answer. The reason is that the distance between the plants is not the same as the distance from the first to last plant.

For example, if the farmer only planted two crops, there would only be 3 feet between them, not 6. Therefore, we need to use the formula: (Number of plants - 1) * Distance between plants.

To solve for our question, we’d get: (23 plants - 1) * 3 feet = 66 feet. Thus, the distance between the first and last plant is 66 feet.

Learn more about Plant Spacing Calculation here:

brainly.com/question/34825394

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If an article costs a store $7.45 and if it sells the article for $9.95, what percentage (to the nearest tenth) markup is it using?

Answers

Given:
cost = 7.45
selling price = 9.95

9.95 - 7.45 = 2.50 mark up

2.50 / 7.45 = 0.3355
0.3355 * 100% = 33.55% or 33.6% is the percentage of mark up to the nearest tenth.
The difference is 9.95 - 7.45 = 2.5

That represents (2.5/7.45) *100% = 33,6%.

A number is selected at random from the set {2, 3, 4, … 10}. Which event, by definition, covers the entire sample space of this experiment?a. The number is greater than 2.
b. The number is not divisible by 5.
c. The number is even or less than 12.
d. The number is neither prime nor composite.
e. The square root of the number is less than 3.

Answers

let's do process of elimination

a) 2 is part of the set and 2 is not greater than 2. NO

b) 5 and 10 in the set are divisible by 5. NO

c) 2,4,6,8,10 are even but the rest are odd ( BUT note the word "or"). the rest are less than 12. YES

d) 0 and 1 are the only numbers that are neither prime nor composite (they're not even part of the set). NO

e) the square root of 9 is 3 so the maximum number is 9 (but what happened to 10?) NO

For our given sample, the only true statement is:

c. The number is even or less than 12.

Which event, covers the entire sample space of this experiment?

The sample for the experiment is the set:

{2, 3, 4, 5, 6, 7, 8, 9, 10}

So, we need to see which ones of the statements are true for every digit in that set.

For example:

a "The number is greater than 2."

Is false, because the outcome can be 2, as 2 belongs to the set.

The true statement is:

c. The number is even or less than 12. (all the numbers are less than 12).

If you want to learn more about sets:

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What is a good reasoner this help plz.SO I copied an answer for my school and I accidentally copied "hope this helped" and she is wondering why I put that... PLZ HELP :/

Answers

Answer:

say that you meant to say "hope this is correct" but accidentally put that

Step-by-step explanation:

Answer: I pushed the wrong button on my computer I apologize.

Step-by-step explanation: That's the best I got.