in the decimal number .98703, the 0 holds what place value

Answer:639

Step-by-step explanation:

The equation for exponential growth is: initial amount( 1 + rate in decimal form)^time

So we put in our numbers and it is:  412( 1 + 0.5) ^ 9 = 639 (rounded)

I know this is late but I hope I helped anyone who's looking for an explanation now!

To estimate the number of members on a social website after 9 months with a 5% monthly growth rate, use the formula for exponential growth. After calculations, there will be approximately 639 members after 9 months.

The question is related to exponential growth, which is a topic in mathematics. To calculate the number of members on a social website after 9 months given a monthly growth rate of 5%, you can use the formula for exponential growth:

Future Value = Present Value * (1 + growth rate)^number of periods

In this case, the Present Value is 412 members, the growth rate is 5%, or 0.05 when expressed as a decimal, and the number of periods is 9 months. Plugging these values into the formula gives:

Future Value = 412 * (1 + 0.05)^9

Calculating this gives:

Future Value ≈ 412 * (1.05)^9 ≈ 412 * 1.55132822 ≈ 639.25

After rounding to the nearest whole number, there will be approximately 639 members on the social website after 9 months.

To maximize profit, the company should produce 300 scooters and charge a price of $600. The maximum profit is $88,500.

The company should produce a quantity of scooters that maximizes profit. To find this quantity, we need to find the point where marginal revenue (MR) equals marginal cost (MC). In this case, MR is given by the derivative of the price equation, which is -1. So, we set -1 equal to the derivative of the cost equation and solve for x:

-1 = 300

This gives us x = 300. So, the company should produce 300 scooters to maximize profit. To find the price, we substitute this value of x into the price equation:

p = 900 - 300 = 600

Therefore, the company should produce 300 scooters and charge a price of $600 to maximize profit. The maximum profit can be calculated by subtracting the total cost from the total revenue. The total revenue is given by the price multiplied by the quantity sold, and the total cost is given by the fixed costs plus the cost per unit multiplied by the quantity sold. Using the given values, we have:

Total revenue = 600 * 300 = $180,000

Total cost = 750 + 300 * 300 = $91,500

Maximum profit = Total revenue - Total cost = $180,000 - $91,500 = $88,500

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The sentence translates to the algebraic equation '53 + x - 10 = y,' which simplifies to 'x + 43 = y.' The closest matching option provided is d. 53 + x - 10 = y.

The sentence "the sum of fifty-three and x, minus ten, is y" translates to an algebraic equation that adds 53 to x and then subtracts 10 to equal y. This can be expressed mathematically as 53 + x - 10 = y. When simplified, this equation becomes x + 43 = y, which is not one of the provided options. Therefore, the correct option that most closely matches the sentence, after considering simplification, is d. 53 + x - 10 = y.

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Answer:

B

Step-by-step explanation:

edge

Answer:

Equation of line become [tex]y= \frac{- 1 *x}{3}+ 5[/tex].

Step-by-step explanation:

slope of the line

we know that the formula to calculate the slope between two points is equal to

Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1}}[/tex].

substitute the values

(m) = [tex]\frac{6 - 7} }{ -3 - (-6)}[/tex].

(m) = [tex]\frac{-1} }{3}[/tex].

With the slope m and the point (-6, 7)  find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

[tex](y - y_{1}) = m ( x - x_{1})[/tex].

substitute the values

[tex](y - 7) = \frac{-1}{3} (x - ( -6))[/tex].

[tex](y - 7) = \frac{-1}{3} (x + 6)[/tex].

[tex](y - 7) = \frac{-x}{3} +2 )[/tex].

On adding both sides by 7.

[tex]y= \frac{-x}{3}  - 2 + 7 [/tex].

[tex]y= \frac{-x}{3}+ 5[/tex].

Therefore, equation of line become [tex]y= \frac{-1 *x}{3}+ 5[/tex].

The correct answer is: C. The median will shift to the right.

Adding 200 cars with prices less than $5,000 will increase the number of cars being sold overall but will not significantly affect the upper end of the price range. Since the added cars are all below $5,000, they will contribute to the left side of the distribution.

As a result, the median, which represents the middle value of the distribution, will shift to the right, reflecting the increase in the number of lower-priced cars being sold.

The mean may or may not be affected, depending on the relative prices of the additional cars compared to the existing distribution, but it's not guaranteed to shift in any particular direction.

Similarly, the median and mean do not necessarily have to be the same, so option B is not accurate. Thus, option C is the most appropriate choice.

Complete question:

Car salesman sells cars with prices ranging from $5,000 to $45,000. The histogram shows the distribution of the numbers of cars he expects to sell over the next 10 years. The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?

A. The mean will shift to the right.

B The mean and the median will be the same.

C The median will shift to the right.

D The mean will shift to the left.

Just took the test, hope the picture helps! :)))

Yolanda's method is incorrect because she should have subtracted the 2 she added before subtracting, not added it. Adding it before and after the subtraction alters the original values and results in an inaccurate subtraction.

No, Yolanda's method is not correct. If you add a value to a number before subtracting, you have to subtract that same value after the subtraction, not add it again. This is because the addition of 2 alters the original value of 12,458, making it 12,460, and thus changes the result of the subtraction. However, by adding 2 again after subtracting, Yolanda incorrectly compensates for the initial addition. The correct approach would have been to subtract 2 after the subtraction, returning 12,458 to its original value and ensuring the accuracy of the subtraction.

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18 is the answer folks.

Answer:

$ 12953645000000

Step-by-step explanation:

To find the public debt in 2007, subtract the deficit for 2008 from the public debt in 2007.

To calculate the public debt in 2007, we need to work backwards from the given information. We know that the public debt in 2009 was $12,752,000,000,000 and the budget for 2010 was in deficit by $201,645,000,000. We can assume that the deficit for each year is equal to the change in the public debt from the previous year. So, we subtract the deficit for 2010 from the public debt in 2009 to find the public debt in 2010. Then, we subtract the deficit for 2009 from the public debt in 2010 to find the public debt in 2008. Continuing this process, we can subtract the deficit for 2008 from the public debt in 2007 to find the answer.

To summarize, we can find the public debt in 2007 by subtracting the deficit for 2008 from the public debt in 2007.

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Answer:

In 3 hour 45 minutes Both working together do all of yard work.

Step-by-step explanation:

Time taken by Steve to do yard work = 6 hours

Work Done by Steve in a hour = [tex]\frac{1}{6}[/tex]

Time taken by Bill to do yard work = 10 hours

Work Done by Steve in a hour = [tex]\frac{1}{10}[/tex]

Work done by both in a hour = [tex]\frac{1}{6}+\frac{1}{10}=\frac{5+3}{30}=\frac{8}{30}=\frac{4}{15}[/tex]

Time taken by by both working together = [tex]\frac{1}{\frac{4}{15}}=\frac{15}{4}=3.75=3\,hour\,45\,minutes[/tex]

Therefore, In 3 hour 45 minutes Both working together do all of yard work.

The problem is a simple algebraic equation that, when solved, shows there were 175 roses.

To solve the problem given by the student, we need to set up an equation based on the information provided. We are told that the number of roses was 15 greater than twice the number of prunes, and together they totaled 255.

Let the number of prunes be p. Then the number of roses can be represented as 2p + 15. Adding these amounts must total 255, so we can write the following equation:

2p + 15 + p = 255

Combining like terms:

3p + 15 = 255

Subtracting 15 from both sides of the equation:

3p = 240

Dividing both sides by 3:

p = 80

Now that we have the number of prunes, we can find out the number of roses:

Roses = 2p + 15 = 2(80) + 15 = 160 + 15 = 175

Therefore, the student had 175 roses.

Answer:

The answer is 27

Step-by-step explanation:

The third term of the given geometric sequence is 27, calculated by using the geometric sequence formula with the first term of 3 and a common ratio of 3.

The third term of a sequence that has a first term of 3 and a common ratio of 3 is calculated using the formula for geometric sequences, which is a_n = a_1 \(\cdot\) r^{(n-1)}, where a_n is the nth term, a_1 is the first term, and r is the common ratio. To find the third term (when n=3), we substitute the given values into the formula to get: 3 \(\cdot\) 3^{(3-1)}.

Calculating that gives us 3 \(\cdot\) 3², which equals 3 \(\cdot\) 9, so the third term is 27.

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The probability that the office doors were unlocked when the delivery van arrived is 5/6. The correct option is A. 5/6.

To determine the probability that the office doors were unlocked when the delivery van arrived, we first need to understand the time intervals:

The total available time for the delivery van to arrive is 120 minutes, out of which the doors were locked for 20 minutes.

Step-by-step explanation:

An equalateral triangle is a triangle that has all congruent sides, just like a square. To tell a triangle can be labeled on there sides, if the numbers are the same that means they are all equal, which is why it is called an equalateral triangle, to represent that it has equal sides!

Cheers!