What is a variable term in mathematics?

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Answer 1

Answer: A variable is a symbol for a unknown number. It does not have a fixed number. In fact, it could be any number until you find out what it is in a equation. Or, you can never find out what it is. Yes, it is conserved a term. Hope this helped!

Related Questions

A university financial aid office polled a random sample of 528 male undergraduate students and 651 female undergraduate students. Each of the students was asked whether or not they were employed during the previous summer. 295 of the male students and 463 of the female students said that they had worked during the previous summer. Give a 80% confidence interval for the difference between the proportions of male and female students who were employed during the summer.A) Find the values of the two sample proportions (round to three decimals)B) Find the critical value that should be used in constructing the confidence interval.C) Find the value of the standard error. Round your answer to three decimal places.D) Construct the 95% confidence interval. Round your answers to three decimal places.
Lori ran 4.63 miles last weekend and 5.876 miles this weekend. How many miles did she run in all?
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You have just received a windfall from an investment you made in a friend's business. He will be paying you $10,000 at the end of this year, $20,000 at the end of the following year, and $30,000 at the end of the year after that (three years from today). The interest rate is 3.5% per year. a.What is the present value of your windfall? b.What is the future value of your windfall in three years (on the date of the last payment)?

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Answer:

a. $55,390.29

b. $61,412.20

Step-by-step explanation:

a. To find the present value of your windfall, each value must be brought back to the present year at a rate of 3.5% per year. The present value is:

$PV = (10,000)/(1.035)+(20,000)/(1.035^2)+(30,000)/(1.035^3)\nPV = \$55,390.29$

The present value of your windfall is $55,390.29.

b. To find the future value of your windfall at the date of the last payment, simply compound the preset value amount obtained on the previous item for three years at a rate of 3.5%:

$FV =55,390.29*(1.035)^3\nFV=\$61,412.20$

The future value of your windfall is $61,412.20.

Final answer:

The present value and future value of an investment are calculated using formulas that account for the interest rate and the period. The present value is calculated by dividing each year's payout by the increment of the interest rate for that year and summing these values. The future value in this scenario would be the sum of the payouts.

Explanation:

This question deals with the financial concepts of present value and future value in relation to an investment payout structure over time.

a. The present value is a measure of the current worth of a future sum of money given a specified rate of return. The formula to calculate present value is PV = CF / (1 + r)^n, where CF is cash flow, r is interest rate and n is the period. To calculate the present value of your windfall:

End of Year 1: PV = $10,000 / (1+0.035)^1
End of Year 2: PV = $20,000 / (1+0.035)^2
End of Year 3: PV = $30,000 / (1+0.035)^3

Add all these present values together to get the total present value.

b. The future value is how much an investment is worth at a certain time in the future. The formula to calculate future value is FV = CF * (1 + r)^n. But in this case since the last cash flow coincides with the period, the future value in three years would simply be the sum of all cash flows which is $60,000 ($10,000+$20,000+$30,000).

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The magnitude of an earthquake depending on the energy it produces can be modeled using the equationM = 0.6666 log x - 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point
The growth factor is
An earthquake with an energy level of has a magnitude of

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Final answer:

The equation 'M = 0.6666 log x - 3.2' describes the relationship between the energy produced by an earthquake (x) and its resulting magnitude (M). The 0.6666 in the formula is the growth factor. To get a magnitude for a specific energy level, we plug the energy value into the formula, and solve.

Explanation:

The equation given represents the relationship between the magnitude of an earthquake (M) and the energy it produces (x), with M being the earthquake's magnitude and x being the energy produced by the earthquake. This equation is a logarithmic model with a base of 10 (without the base explicitly stated, we assume it to be 10).

The curve representing the relationship includes the point: To identify a point, we need a specific x-value for the energy level. For instance, for x=1000, we can plug it into the equation to get the magnitude M = 0.6666 log(1000) - 3.2.
The growth factor is: In this context, the growth factor refers to the constant 0.6666 which is multiplied by the logarithm. This factor impacts the rate at which the magnitude of the earthquake grows for a given increase in energy.
An earthquake with an energy level of (an x-value should be inserted here) has a magnitude of: We would again plug the energy value (x-value) into the formula, compute the expression to determine the corresponding magnitude.

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Answer:

Step-by-step explanation:

If apple=5, orange=6 and strawberry=10 then banana=?

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Answer:

Step-by-step explanation:

The number corresponds with how many letters there are in a word. In this case, banana has 6 letters.

Answer:

The answer is 6

Step-by-step explanation:

They are counting the nuber of letters in the word apple has 5, orange has 6, and strawberry has 10. Banana has 6 B-A-N-A-N-A.

A submarine descends 1/120 mile every minute. Write a product of three or more rational numbers to represent the change in the submarines elevation after 3 hours. Then find the value of the product and explain what it represents.

Answers

9514 1404 393

Answer:

(1/120 mile/min)(60 min/h)(3 h)

1.5 mile

the increase in depth after 3 hours

Step-by-step explanation:

The rate is given in terms of miles per minute. To find the elevation after 3 hours, we need a conversion from minutes to hours. One possible product is ...

(1/120 mile/min)(60 min/h)(3 h)

The value of this product is ...

(1·60·3)/(120·1·1) mile = 1.5 mile

The value represents the increase in depth after 3 hours.

Final answer:

The product of three rational numbers is 1.5, which represents the change in the submarine's elevation after 3 hours.

Explanation:

To represent the change in the submarine's elevation after 3 hours, we need to find the product of the descent rate per minute and the total number of minutes in 3 hours. The descent rate per minute is 1/120 mile, and there are 60 minutes in an hour. So, the product is:

(1/120) * (60 * 3)

Simplifying the expression:

(1/120) * 180 = 1.5

The value of the product, 1.5, represents the total change in the submarine's elevation after 3 hours. Since the submarine is descending, the elevation decreases by 1.5 miles.

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Please help I've been trying to solve this for a long time

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The given system of inequalities is expressed as

$\begin{gathered} 24x\text{ + 8y }\ge\text{ 20} \n 3x\text{ - 6y > 24} \end{gathered}$

The first step is to change the inequality symbols to that of 'equal to" and plot the straight line graph for each equation.

For the first equation, the line on the graph would be solid because the symbol is "greater than or equal to"

For the second equation, the line would be broken because the inequality symbol does not have an "=" symbol

The graph is shown below

Susan started with a certain number of dollars. She then decided on a number of dollars she would save each day. She added the dollars she saved to the amount with which she started. At the end of day 2, Susan had a total of 20 dollars saved. At the end of day 5, she had a total of 32 dollars saved. How many dollars does Susan start with? Show or explain your work.
Write an equation to model the number of dollars Susan has saved, y, after x days.

Answers

Answer:

Susan start with 12 dollars

Equation to model the number of dollars Susan has saved, y, after x days : $4x-y+12=0$

Step-by-step explanation:

Given : She added the dollars she saved to the amount with which she started. At the end of day 2, Susan had a total of 20 dollars saved. At the end of day 5, she had a total of 32 dollars saved.

To Find: How many dollars does Susan start with? Show or explain your work. Write an equation to model the number of dollars Susan has saved, y, after x days.

Solution :

Since At the end of day 2, Susan had a total of 20 dollars saved.

⇒ $(x_(1) ,y_(1))=(2,20)$