Answer:
the boat was sold for $17,250
Step-by-step explanation:
Jimmy made a 15% profit, that means that the 15% of the cost is going to be his profit, so the 15% of $15,000 is:
$15,000(0.15)= $2,250
If his profit is 2,250, the price of the boat is going to be the initial cost plus the profit. So:
Price=$15,000 + $2,250 = $ 17,250
Then, the boat was sold for $17,250
Using proportions and the profit concept, it is found that the boat sold for $17,250.
This question is solved by proportions, using a rule of three.Profit of 15% means that the sales price was 15% more than the original cost. Thus, the original cost of $15,000 is worth 100% = 1, while the sales price of x is worth 100% + 15% = 115% = 1.15.The rule of three is:
$15,000 - 1
$x - 1.15
Applying cross multiplication:
[tex]x = 15000(1.15) = 17250[/tex]
The boat sold for $17,250.
A similar problem is given at https://brainly.com/question/24373628
Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removable discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior.
How many pounds are in 9 kilograms?
There are 7.2 milligrams of iron in a dozen eggs.Because there are 12eggs in a dozen,how many milligrams of iron are in 1egg?
Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is modeled by the function
M(s)= -1/28s^2+3s-31
where s is the speed in mi/h and M is measured in mi/gal.
Final answer:
The quadratic function represents the gas mileage of a car in relation to its speed. By calculating the vertex of the parabola, it is determined that the best gas mileage for the given new car model occurs at a speed of 42 mi/h, which can lead to more efficient driving.
Explanation:
Understanding Gas Mileage and Speed
The question revolves around the mathematics found in the relation between speed and gas mileage for cars. Specifically, a quadratic function M(s) = -1/28s²+3s-31 represents the gas mileage M, in miles per gallon (mi/gal), at a given speed s in miles per hour (mi/h) for a new car model. To analyze this model, one may want to find the speed that provides the best gas mileage, which typically requires finding the vertex of the parabolic graph that this equation represents.
To find the speed that gives the maximum gas mileage, we would complete the square or use the vertex formula for a parabola given by s = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively. For our function, a = -1/28 and b = 3. Plugging these into our formula gives a speed of s = -3 / (2 * -1/28) = 42 mi/h. This suggests that the best gas mileage for this car model occurs at a speed of 42 miles per hour.
It is essential to understand the relationship between speed and gas efficiency because it can help reduce fuel consumption and costs, as well as lessen environmental impact. By finding the optimal speed for gas mileage, drivers can make informed decisions about their driving habits for financial and ecological benefits.
Algebraic Expressions Question
A company charges $59.99 for cable TV installation and $49.99 per month for basic cable service.
Part A
Write an algebraic expression to represent the total cost of m months of basic cable service, including installation.
Algebraic Expression: ________________
Part B
How much will it cost for installation and one year of basic cable service?
Explain:
Total Cost: ______________
This problem is continued on the next page.
Part C
After the first 12 months, the charge will be increased to $69.95 per month. What is the total cost of installation and basic cable service for the first two years?
Explain:
Part A.
We can create a linear equation from this problem. Let us say that C is total cost and m is number of months, therefore:
C = 59.99 + 49.99 m
Part B. For m = 12 months, the total cost is:
C = 59.99 + 49.99 * 12
C = $659.87
Part C. We have already calculated in part B the total cost for the 1st year:
C1 = $659.87
For the 2nd year, the equation becomes:
C = 59.99 + 69.95 m
C = 59.99 + 69.95 * 12
C2 = $899.39
Therefore the total cost C1 + C2 is:
$1,559.26
The total cost of m months of basic cable service, including installation, can be represented by the algebraic expression 59.99 + 49.99m. For installation and one year of basic cable service, the cost is 659.87. For the first two years, including installation and basic cable service, the cost is 1549.23.
Explanation:Part A:
To represent the total cost of m months of basic cable service, including installation, we can use the algebraic expression:
59.99 + 49.99m
Part B:
To calculate the total cost for installation and one year of basic cable service, we substitute 12 for m in the expression:
59.99 + 49.99(12) = 59.99 + 599.88 = 659.87
Part C:
For the first two years, the cost includes the installation and basic cable service for the first 12 months at $49.99 per month, and the following 12 months at $69.95 per month. So we write the expression as:
59.99 + 49.99(12) + 69.95(12) = 709.83 + 839.4 = 1549.23
given h(x) = -x + 1, find h(0)
-9(-4w^3+4-3v^2) i need the answer
ILL GIVE YOU 12 POINTS
I am multiple of 70. I am between 300 and 500. I am 20 more than a multiple of 100. who am i?
I need an answer what is 1.03 ÷ (-10.3)=?
The answer to 1.03 ÷ (-10.3) is -0.1.
Explanation:To divide 1.03 by -10.3, you can use the division algorithm. Divide the absolute values of the two numbers and obtain the quotient. Since the signs of the two numbers are different, the quotient will be negative. Therefore, 1.03 ÷ -10.3 = -0.1.
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Which graph represents the function f(x) = −|x − 2| − 1?
The correct answer is C.
Thanks and have a good day :)
Frank goes grocery shopping every 9 days Susan does her grocery shopping every sixth day the went shopping today and we're able to car pool how many days will pass before they can car pool again
Which statement is true about the result of a rigid transformation? (4 points)
The image will be larger than the pre-image.
The pre-image will be larger than the image.
Each one is unique; no general statement can be made about size.
The pre-image will be congruent to the image
Answer:
The pre-image will be congruent to the image : True
Step-by-step explanation:
The transformation falls broadly into two types.
Rigid Transformation and Non Rigid Transformation .
Rigid Transformation: The new image has the same size and the shape as that of pre image. Thus both the images are congruent to each other.
Non Rigid Transformation : The new image is has the same shape. however the size of the new image changes. hence they are similar to each other but not congruent.
Hence our third option is correct.
A store manager realizes that he has too many jeans in stock. After he finished taking inventory, he has a total of 688 jeans. He decides to reduce the stock by having a buy one get one free sale. That means that every purchase will reduce this inventory by 2 pairs of jeans.
The expression below describes this situation.
688−2x
A. What does the expression represent?
A. the number of jeans sold with each purchase
B. the number of jeans the stock is reduced by from each sale
C. the total amount of jeans in stock after each sale
D. the number of jeans purchased
Answer:
Remaining amount of jeans after x sales = 688 - 2x
In this expression
2x = The number of jeans purchased.
-2 = The number of jeans the stock is reduced by from each sale.
2 = The number of jeans sold with each purchase.
Step-by-step explanation:
Given information:
Total number of jeans = 688
He decides to reduce the stock by having a buy one get one free sale. It means that every purchase will reduce this inventory by 2 pairs of jeans.
Average rate of change = -2
Let x be the number of purchase.
So, the total amount of jeans in stock after each sale is
Remaining amount of jeans after x sales = 688 - 2x
In this expression
2x = The number of jeans purchased
-2 = The number of jeans the stock is reduced by from each sale.
2 = The number of jeans sold with each purchase
The heaviest ball made by a bowling ball company weighs 16 pounds. Last week, the company shipped 10,000 of these balls. What was the total weight of these balls. Multiply 16 by 1 to find the weight of 1 of these balls. 16 x 1 = ____ ones = ____
PLEASE HURRY
Which set of angles can form a triangle?
A. 1 acute and 2 right
B. 2 acute and 1 right
C. 1 acute and 2 obtuse
D. 1 acute, 1 right, and 1 obtuse
Can someone help me with these questions
Help me I don’t get this problem...
what is hundred-seventy as a fraction.
To convert 175% to a fraction, write it as 175/100 and then simplify by dividing both numerator and denominator by their greatest common divisor, 25, which gives a simplified fraction of 7/4.
One hundred seventy five percent as a fraction can be converted by writing the value of the percent as a fraction with a denominator of 100. To convert the percent to a fraction, we write 175% as 175/100. This fraction can then be simplified. To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 25.
Here is the step-by-step simplification process:
Write 175% as a fraction: 175/100
Divide both the numerator and the denominator by 25: (175 ÷ 25) / (100 ÷ 25) = 7/4
The simplified fraction for 175% is therefore 7/4.
complete question given below:
What is one hundred seventy five percent as a fraction?
What is the expanded form of 53.327 using fractions
If f(x) = –4x + 3 and g(x) = 3x2 + 2x – 4, find (f + g)(x).
A. (f + g)(x) = –2x – 1
B. (f + g)(x) = 3x2 + 6x + 7
C. (f + g)(x) = 3x2 – 2x – 1
D. (f + g)(x) = 4x – 1
Answer:
Correct option is:
C. (f + g)(x) = 3x² – 2x – 1
Step-by-step explanation:
f(x) = –4x + 3 and g(x) = 3x² + 2x – 4
We have to find (f + g)(x).
We know that (f+g)(x)=f(x)+g(x)
⇒ (f+g)(x)=-4x+3+3x²+2x-4
⇒ (f+g)(x)=3x²-2x-1
Hence, Correct option is:
C. (f + g)(x) = 3x² – 2x – 1
Which shows three equivalent rational numbers?
A. 13/-14= -13/14=-13/14
B. -3/5 = 3/5=-3/5
C. -1/17=1/-17=1/17
D. -5/37 = 5/37=-5/37
Don’t answer if you aren’t sure.
What is an equation of the line that is perpendicular to y + 1 = - 3 (x - 5) and passes through the point (4, -6)?
The equation of the line that is perpendicular to y + 1 = -3 (x - 5) and passes through the point (4, -6) is y = 1/3x - 22/3.
Explanation:
The subject of this question is Mathematics, specifically the topic of linear equations.
The line given in the question is y + 1 = -3 (x - 5). To find the equation of a line that is perpendicular to this given line and passes through the point (4, -6), we need to understand the concept of slope.
The equation of the given line can be rewritten as y = -3x + 15 -1, or y = -3x + 14. The slope of a line perpendicular to this line would be the negative reciprocal of -3, which is 1/3. Then, by using the point-slope form of a line, (y - y1) = m (x - x1), where m is the slope and (x1, y1) is the point through which the line passes (in this case, (4, -6)), we get: y - (-6) = 1/3 (x - 4) or y + 6 = 1/3x - 4/3.Simplifying, the equation of the perpendicular line is y = 1/3x - 4/3 - 6 or y = 1/3x - 22/3.
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Which unit rates would be appropriate for describing the amount of rainfall over time? Choose two answers.
centimeters per day
meters per second
milliliters per minute
inches per hour
Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?
Please help
Justify each step in solving the equation 6x = 3(x+4) by writing a reason for each statement.
What are the answers for the questions and can you check if I got the other one right please and thank you
Simplify and express the answer as a decimal.
3(2.7+5)−23(2.7+5)−2
Enter your answer in the box.
The simplified expression is -202.2, which can be expressed as a decimal as -202.2.
Explanation:To simplify the expression, we need to perform the operations in order of operations (PEMDAS/BODMAS). First, we simplify the expressions inside the parentheses:
2.7 + 5 = 7.7
Next, we can rewrite the expression:
3(7.7) - 23(7.7) - 2
Now, we can multiply each term:
3 * 7.7 = 23.1
23 * 7.7 = 177.1
-23.1 - 177.1 - 2
Finally, we can combine like terms:
-202.2
The simplified expression is -202.2, which can be expressed as a decimal as -202.2.
Final answer:
To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses and then perform the multiplication and subtraction step by step to get the final simplified answer as -156.
Explanation:
To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses: 2.7+5 = 7.7.
Substituting this value back into the expression, we get 3(7.7) - 23(7.7) - 2.
Next, we perform the multiplication: 3(7.7) = 23.1 and 23(7.7) = 177.1.
Substituting these values back into the expression, we have 23.1 - 177.1 - 2.
Finally, we perform the subtraction: 23.1 - 177.1 = -154 and -154 - 2 = -156.
Therefore, the simplified answer as a decimal is -156.
use the distributive property to simplify -5(-2f-6)
-5(-2f-6)
distribute by multiplying -5 by everything inside the parenthesis
-5 * -2f = 10f
-5 *-6 = 30
so you get 10f+30
Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate? –250 –240 240 250
Answer:
-250
Step-by-step explanation:
Answer: yeah it's -250
Step-by-step explanation: just submitted the test
The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet. When the water was 4 feet from the end of the hose, what was its height above the ground?
Answer:
its a and c
Step-by-step explanation: