To find when the building will be completely depreciated, you solve for x in the equation y = 360,000 - 1,500x by setting y to 0. The solution is x = 240, meaning the building will be totally depreciated after 240 months or 20 years.
Explanation:In this case, you are looking to find the value of x (the number of months) when the value of the building (y) becomes 0. The equation given is y = 360,000 - 1,500x. Set y = 0 and solve for x
First, replace y with 0 in the given equation: 0 = 360,000 - 1,500x. Next, move the term with x to the other side by adding 1,500x to both sides, which gives: 1,500x = 360,000.Finally, solve for x by dividing both sides of the equation by 1,500. This gives you: x = 360,000 / 1,500 = 240.So, the building will be completely depreciated after 240 months or 20 years.
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Whats the answer for solve the equation 6x + 3y = 15 for y. what does y equal if x = 2? if x = 5?
To solve the linear equation 6x + 3y = 15 for y, isolate y, which yields y = (15 - 6x) / 3. Substituting x as 2, we find y = 1, and when x is 5, y equals -5.
In order to solve the equation 6x + 3y = 15 for y, we must first isolate y on one side of the equation. This can be done by first subtracting 6x from both sides of the equation, resulting in 3y = 15 - 6x. To solve for y, we then divide both sides by 3, obtaining y = (15 - 6x) / 3.
When x = 2, we substitute it into the equation to find y:
y = (15 - 6(2)) / 3y = (15 - 12) / 3y = 3 / 3y = 1.
Similarly, when x = 5, we find y by substitution:
y = (15 - 6(5)) / 3y = (15 - 30) / 3y = -15 / 3y = -5.
A girl delivering newspapers travels 2 blocks west, 5 blocks north, and then 6 blocks east.
What is her resultant displacement?
___blocks at
____ ° counterclockwise from east.
BRAINLIESTTTTTTTTTTTTTTTTTT!''1. The function f(x) = 800(1.09)3x shows the growth due to interest that Jim earns on an investment.
The steps to calculate an equivalent function are shown below:
[Step 1] f(x) = 800(1.09)^3x
[Step 2] f(x) = 800(1.09^3)^x
[Step 3] f(x) = 800(1.09 ⋅ 3)^x
[Step 4] f(x) = 800(3.27)^x
Which of the following is the first incorrect step?
There is no mistake in the work.
Step 1
Step 2
Step 3
Step 4
Answer: The incorrect step is the second one or step 2
What is the value of x in the equation 1/3x-2/3 =-18
Answer:52
Step-by-step explanation:
In a class of 20 students ,40% are boys.25% of theboys and 50% of the girls were glasses.how many students were glassses. show work
At 12:00 noon two Mississippi steamboats are 126 miles apart. At 6:00 p.m. they pass each other going in opposite directions. If one steamboat travels 9 miles per hour faster than the other, find the speed of both boats.
Final answer:
To determine the speed of two Mississippi steamboats, we use algebra to set up and solve a system of equations. The slower boat travels at 6 miles per hour, and the faster boat travels at 15 miles per hour.
Explanation:
To solve the problem of finding the speed of two Mississippi steamboats, we can set up a system of linear equations. The boats are 126 miles apart and travel towards each other until they pass at 6:00 p.m. This means they've been traveling for 6 hours. Let's define the speed of the slower boat as x miles per hour and the faster boat as x+9 miles per hour.
Since distance equals speed multiplied by time, the distance covered by the slower boat can be represented by 6x and by the faster boat as 6(x+9). The sum of these distances will be equal to 126 miles, the initial distance between the two boats.
Set up the equation: 6x + 6(x + 9) = 126.
Simplify the equation: 12x + 54 = 126.
Solve for x: x = 72 / 12 = 6 miles per hour.
Calculate the speed of the faster boat: x + 9 = 6 + 9 = 15 miles per hour.
Therefore, the speed of the slower steamboat is 6 miles per hour, and the speed of the faster steamboat is 15 miles per hour.
In a memory ad for dimms, you notice 256meg x 72 for one dimm and 256meg x 64 for another dimm. what does the 72 tell you about the first dimm?
THE FUNCTION ARCSINE CAN ALSO BE DEFINED AS?
Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the slope of the line. What can you conclude about this line?
Solve this Multi-Step Equation
7p - (3p + 4) = -2(2p - 1) + 10
The base angles of all trapezoids are congruent.
True or False
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What is the point slope form of the line with slope [tex] \frac{2}{5} [/tex] that passes through the point (−4, −7) ?
Help please! Reflection of a triangle on a graph. D:
Hey Yo I needs some Help
Answer:
wow
Step-by-step explanation:
A simple random sample is chosen in such a manner that
Which of the following measurements best describes the amount of water in a bucket? 3 gallons 30 fl. oz. 5 pints 10 cups
How many lines of symmetry are
found in a regular polygon with 40
A regular polygon has the same number of lines of symmetry as it has sides. Therefore, a regular polygon with 40 sides will have 40 lines of symmetry.
Explanation:In Mathematics, symmetry is a significant aspect when dealing with geometric figures, such as polygons. In a regular polygon, the number of lines of symmetry is equal to the number of sides. Therefore, a regular polygon with 40 sides will have 40 lines of symmetry.
This is because, in a regular polygon, all sides and angles are equal, meaning it can be reflected or folded over each of its sides and still remain the same shape. So, you can draw a line from each vertex to the opposite side (or vertex in some cases) and get a perfect fold or reflection.
Remember, this is only true for regular polygons, as irregular polygons won't have the same number of lines of symmetry because their sides and angles may not be equal.
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Force equals mass times acceleration. If m represents mass and a represents acceleration, Which function f represents Force?
A. F=ma
B. F=m+a
C. F= m exponent a
D. F=m/a
If the top of a set of characters is chopped off, then line spacing may be set to ____.
If ,f(x)= 1/4x+3, what is the equation for f–1(x)?
Final answer:
To find the equation for f–1(x), swap the roles of x and f(x) in the equation for f(x), solve for f(x), and replace it with x.
Explanation:
To find the equation for f–1(x), we need to swap the roles of x and f(x) in the equation for f(x) and solve for f(x). So, given that f(x) = 1/4x + 3, we can start by replacing f(x) with x in the equation:
x = 1/4f–1(x) + 3
Now we can solve for f–1(x). First, subtract 3 from both sides of the equation:
x - 3 = 1/4f–1(x)
Then, multiply both sides of the equation by 4:
4(x - 3) = f–1(x)
So, the equation for f–1(x) is f–1(x) = 4(x - 3).
Final answer:
To find the inverse of the function f(x) = 1/4x + 3, swap x and y and solve for y to get the inverse function f⁻¹(x) = 1/(4(x - 3)).
Explanation:
To find the equation for the inverse function f⁻¹(x) of the given function f(x) = 1/4x + 3, we need to swap the variables x and y and then solve for y.
Start with the original function, substituting y for f(x): y = 1/(4x) + 3.Swap x and y: x = 1/(4y) + 3.Solve for y. Subtract 3 from both sides: x - 3 = 1/(4y).Multiply both sides by 4y: 4y(x - 3) = 1.Divide both sides by (x - 3): y = 1/(4(x - 3)). Therefore, the inverse function is f⁻¹(x) = 1/(4(x - 3)).Therefore, the inverse function is f⁻¹(x) = 1/(4(x - 3)), showcasing the step-by-step process to derive the inverse relationship.
What is the area of a rectangle with vertices at (−6, 3) , (−3, 6) , (1, 2) , and (−2, −1) ?
Find the slope of the line.
We can use the points (-4, -1) and (0, -2) to solve.
Slope formula: y2-y1/x2-x1
= -2-(-1)/0-(-4)
= -1/4
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PLEASE HELP, BRAINLIEST William pays $32 per year for no-deductible comprehensive coverage of his new full sized car. A hailstorm causes $250 worth of damage to the paint on his car
How much will the insurance pay?
How much must Richard pay?
Answer:
The insurance company will pay $250.
Step-by-step explanation:
Deductible is the amount of the loss a policy holder pays when he files for an insurance claim, before the insurance company pays any money. And no deductible means that the person will not pay anything, The insurance company will pay.
So, here William pays for a no deductible insurance, which means he will not pay anything. His insurance company will pay the total amount of $250.
Jill bought items costing $3.45 , $ 1.99, $6.59 , and $ 12.98 . she used a coupon worth $2. 50. if jill had $ 50.00 when she went into the store , how much did she have when she left
A function is given. Determine the average rate of change of the function between the given values of the variable.
h(t) = t2^2+ 2t; t = −1, t = 4
Find the slope of the line with the equation 2x+3y=6
Is the probability of contamination more than twice the mean of 14.4 unusual, or can it be considered typical variation? explain?
To determine if a probability of contamination more than twice the mean of 14.4 is unusual, the standard deviation must be considered. In a normal distribution, occurrences more than two standard deviations from the mean are typically unusual.
Whether a probability of contamination more than twice the mean of 14.4 is unusual or not depends on the standard deviation of the data. In a typical normal distribution, values more than two standard deviations away from the mean could be considered unusual. Considering a mean of 14.4, if the standard deviation is small, then a value twice as large would likely be an outlier. However, if the standard deviation is large, such a value could fall within the realm of normal variation.
To ascertain if a value is unusual, one would compare it to the range defined by a certain number of standard deviations from the mean. A common rule of thumb is the empirical rule, which states that for a normally distributed dataset, roughly 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
In this context, if a probability of contamination is more than twice the mean (greater than 28.8), and assuming a normal distribution, it would be considered unusual if it falls outside of two standard deviations from the mean.
A manufacturer is producing two types of shoes, types A and B. Type A cost $4 to produce and takes one hour. Type B costs $5 dollars to produce and takes 12 1 2 hour. Type A yields a profit of $10 and type B yields a profit of $12. The manufacturer has $40 and 7 production hours available. How many of each type of shoe should the manufacturer produce to maximize profit?\
How does a globe represent the fact that there are no parallel lines in elliptical geometry?
Erica sells magazine subscriptions and makes a flat rate of $5.35 for each subscription see cells if Erica man $42.80 on Monday $64.20 on Tuesday and $74.90 on Wednesday how many subscriptions did she sell in three days
C—34. Subscriptions