Answer:
Because in one way or another, you would lose money.
Step-by-step explanation:
Sometimes, it is a good idea to underprice a house when selling it, specially when there is a hot market to start a bidding war. If this is not the case, when the prices go down, it means that the seller must adjust his prices to the market; meaning that the lower the prices are, the lower the underpricing should be, so the seller would lose money.
At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor, membership is $90 per month, and personal training sessions are $35 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
To make the total monthly cost of Silver Gym and Fit Factor equal, Sarah would have to buy 6 personal training sessions in a single month.
Explanation:Solution:The question is asking to find out how many personal training sessions Sarah would need to take in a month for the cost at Silver Gym to equal the cost at Fit Factor.
To solve this, we need to create an equation. Let's represent the number of personal training sessions as x. For Silver Gym, the total cost in a month would be 30 + 45x, and for Fit Factor, it would be 90 + 35x.
Setting these two expressions equal to each other gives us the equation 30 + 45x = 90 + 35x.
Moving the variable terms to one side and the constants to the other side of the equation gives us 10x = 60.
We solve for x by dividing both sides of the equation by 10 to get x = 6.
This means that Sarah would need to take 6 personal training sessions for the total cost at the two gyms to be equal.
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The perimeter of a rectangle is 30 centimeters. The width of the rectangle is 6 centimeters. How long is the rectangle?
Before a renovation, a movie theater had 111 seats. After the renovation, the theater has 154 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
A. 28.1% B. 38.7% C. 43.3% D. 24.8%
30 POINTS!
The generic equation for the curve (shown in the picture) is y = mx +c.
A) True
B) False
Answer:
FALSE
Step-by-step explanation:
The correct equation would be y = mx + b
y --> y coordinate
m --> the slope
x --> x coordinate
b --> the y-intercept
Answer:
false!
Step-by-step explanation:
Y = mx + b is the generic form of a linear equation written in slope-intercept form.
Can someone help me!!!
Erins water bottle holds 665 milliliters. Dylan is carrying two water bottles. Each one holds 0.35 liters. Who is carrying more water?
If prices increase at a monthly rate of 1.1%, by what percentage do they increase in a year, What is the annual inflation rate
Final answer:
To find the annual inflation rate when prices increase at a monthly rate of 1.1%, you use the formula for compounding interest, resulting in an approximate annual rate of 13.97%.
Explanation:
If prices increase at a monthly rate of 1.1%, to calculate the annual inflation rate, you should consider the compounding effect over the year. The general formula for finding the total percentage increase over multiple periods when compounded at each period is:
(1 + rate)^number of periods - 1.
In this case, the monthly rate is 1.1%, or 0.011 when expressed as a decimal. The number of periods (months) in a year is 12. Plugging these values into the formula gives:
(1 + 0.011)^12 - 1,
which calculates to:
1.011^12 - 1 = 0.1397 or 13.97%.
So, the annual inflation rate when prices increase at a monthly rate of 1.1% is approximately 13.97%.
Find the length of the side of a square with an area of 144inches squared.
a.48 in
b.12 in
c.206 in
d.288 in
Best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $81 for 3 days and 300 miles, while mary was charged $145 for 5 days and 600 miles. what does best rental charge per day and per mile?
M and n are integers such that 6 < m < n. what is the value of n ?
The lengths of two sides of a triangle are 5 inches and 16 inches find the range of possible lengths for the third side
Answer: A2+B2=C2
(๑╹ᆺ╹ ) i hope this is right
A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter. if the smaller rim makes x revolutions per second, how many revolutions pe
In a game, you have a 1/36 probability of winning $85 and a 35/36 probability of losing $4. what is your expected value? (don't include dollar sign in your answer; just a positive or negative number rounded to the nearest hundredth)
In the data set below, what is the mean absolute deviation?4461526If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD):
Rectangle ABCD is shown below with line EF passing through the center:
If rectangle ABCD is dilated by a scale factor of five about the center of the rectangle to create rectangle A'B'C'D', dilated line E'F' will
A: be parallel to the original line
B: shift five units to the right
C: be perpendicular to the original line
D: lie on the same line as the original
Answer:
D lie on thesame line as the original
Step-by-step explanation:
I took the test and hurray! It was correct
If f(x) =3x-2, find f-1(x)
To find the inverse of a function, follow these steps: replace f(x) with y, interchange x and y, solve for y, and replace y with f-1(x). Applying these steps to the given function f(x) = 3x - 2 results in the inverse function f-1(x) = (x + 2)/3.
Explanation:To find the inverse of a function, we can follow these steps:
Replace the function notation f(x) with yInterchange x and y in the equationSolve the resulting equation for yReplace y with f-1(x)Let's apply these steps to the given function f(x) = 3x - 2:
Replace f(x) with y: y = 3x - 2Interchange x and y: x = 3y - 2Solve for y: x + 2 = 3yTherefore, the inverse of the function f(x) = 3x - 2 is f-1(x) = (x + 2)/3.
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The inverse function of [tex]\( f(x) = 3x - 2 \)[/tex] is [tex]\( f^{-1}(x) = \frac{x + 2}{3} \).[/tex]
To find the inverse function [tex]\( f^{-1}(x) \)[/tex] for the given function [tex]\( f(x) = 3x - 2 \)[/tex], follow these steps:
Start with the original function:
[tex]\[ y = 3x - 2 \][/tex]
Swap y and x to find the inverse:
[tex]\[ x = 3y - 2 \][/tex]
Solve for y:
[tex]\[ x + 2 = 3y \][/tex]
[tex]\[ y = \frac{x + 2}{3} \][/tex]
Rewrite y as [tex]\( f^{-1}(x) \):[/tex]
[tex]\[ f^{-1}(x) = \frac{x + 2}{3} \][/tex]
So, the inverse function [tex]\( f^{-1}(x) \)[/tex] is:
[tex]\[f^{-1}(x) = \frac{x + 2}{3}\][/tex]
Complete Question:
If [tex]f(x) =3x-2[/tex], find [tex]f^{-1}(x)[/tex]
Chauncey has 42 coins, all dimes and quarters. the total value of all these coins is $5.70. how many dimes does he have?
To determine the number of dimes Chauncey has, you can use the system of equations stemming from the total number of coins and their total value. Following through with the calculations, it turns out that Chauncey has 32 dimes.
Explanation:The subject at hand revolves around the concept of linear equations. Given that Chauncey has 42 coins (all dimes and quarters) worth $5.70, you can use a system of equations to figure out the number of each type of coin.
First, let d be the number of dimes and q be the number of quarters. The total number of coins is 42, so the first equation is d + q = 42.Second, a dime is worth $0.10 and a quarter is worth $0.25. Since the total value of coins is $5.70, another equation you can form is 0.10d + 0.25q = 5.70.Having formed this system of two equations, you can solve it by multiplying the first equation by 0.10, which gives 0.10d + 0.10q = 4.2.Subtract this new equation from the second equation: 0.10d + 0.25q - 0.10d - 0.10q = 5.70 - 4.2. Simplify this to 0.15q = 1.5.Divide each side by 0.15, then q = 10. Substitute q = 10 into the first equation to solve for d. This gives d = 42 - 10 = 32.So, Chauncey has 32 dimes.
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Urgent!!! What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1) ?
The first-serve percentage of a tennis player in a match is normally distributed with a standard deviation of 4.3%. If a sample of 15 random matches of the player is taken, the mean first-serve percentage is found to be 26.4%. What is the margin of error of the sample mean? please provide explination
You get how to do this. Plzz helo me
What is the simplified form of \sqrt((72x^(16))/(50x^(36))) ? Assume x ≠ 0.?
Find the quotient of 569.7 divided by 10 to the 3 power
The equation of a circle is x2 − 4x + y2 + 8y − 29 = 0. what are the center and radius of the circle? enter your answers in the boxes.
Final answer:
The center of the circle described by the equation x2 − 4x + y2 + 8y − 29 = 0 is (2, -4), and the radius is 7 units.
Explanation:
The equation of a circle given in the question is x2 − 4x + y2 + 8y − 29 = 0. To find the center and radius of the circle, we will complete the square for both x and y terms.
This involves adding and subtracting the squared half of the coefficients of x and y to complete the square:
(x2 - 4x + 4) - 4 + (y2 + 8y + 16) - 16 = 29 + 4 + 16
(x - 2)2 + (y + 4)2 = 49
This equation is now in standard circle form, which is (x - h)2 + (y - k)2 = r2, where (h, k) is the center and r is the radius.
The center of the circle is therefore at (2, -4) and the radius is √(49) = 7 units.
Find the surface area of the cylinder in terms of .
A) 108 cm2
B) 144 cm2
C) 180 cm2
D) 216 cm2
The surface area of this cylinder in terms of [tex]\pi[/tex] is [tex]216\pi\;cm^2[/tex]
Given the following data:
Height of cylinder = 12 cm.Radius of cylinder = 6 cm.To calculate the surface area of this cylinder in terms of [tex]\pi[/tex]:
How to calculate surface area.Mathematically, the surface area (SA) of a cylinder is given by this formula:
[tex]S.A = 2\pi rh + 2\pi r^2[/tex]
Where:
h is the height.r is the radius.Substituting the given parameters into the formula, we have;
[tex]S.A = 2\pi (6)(12) + 2\pi (6)^2\\\\S.A = 144\pi+72\pi\\\\S.A = 216\pi\;cm^2[/tex]
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You are painting a ceiling in a room. The room measures 30 feet by 40 feet. One gallon of paint costs $25 and covers 200 square feet. How much will it cost to paint the ceiling?
A. $6
B. $17.50
C. $150
D. $1,200
Answer:
C. $150
Step-by-step explanation:
we know that
the area of the room=30*40------> 1200 ft²
1 gallon of paint cover----------------> 200 ft²
x---------------------------> 1200 ft²
x=1200/200------> x=6 gallons
1 gallon cost------------> $25
6 gallons-----------> x
x=6*25-----> x=$150
the answer is
the option C. $150
Anyone know this geometry question?
Daniel ate 0.55 of a candy bar. Which fraction represents the part of the candy bar that Daniel ate?
A. 10/22
B. 11/20
C. 2/5
D. 3/4
E. 11/40
Answer:
The answer is B 11/20
Step-by-step explanation:
To transform a decimal to a fraction you must do the following:
1. Multiply by an specific power of 10 until your decimal becomes a whole number. In this case 0.55 we multiply by 10 ^2 or 100 and we obtain 55.
2 Divide the decimal by this same power of 10 so that you do not change the original value. For example
0.55 *(100/100) = 55/100 As you see Im multiplying and dividing by 100 ( thats equivalent to 1 so it doesnt change the original number)
3 Simplify the fraction
To simplify your fraction you must find the Greatest Common Factor of 55 and 100. For doing this, you only perform a prime factorization. Divide 55 and 100 by the smallest common prime factor, besides 1. (For this case is 5) until you arrive to two number without common prime factors.
55/5 = 11
100/5 = 20
As 11 and 20 have no common prime factors it is the most simplified fraction
the number of mosquito at the beginning of the summer was 4,000. the population of mosquito is expected to grow at a rate of 25% a month . how many mosquitoes will there be after 4 months
Using the formula for exponential growth and given an initial population of 4,000 mosquitoes with a 25% monthly growth rate, the mosquito population is expected to grow to approximately 9,766 after 4 months.
Explanation:The question involves calculating the growth of a mosquito population over a period, specifically after 4 months, given an initial population of 4,000 mosquitoes and a monthly growth rate of 25%. To find the population after 4 months, we use the formula for exponential growth:
P = P0 × (1 + r)n
where P is the population at the end, P0 is the initial population, r is the growth rate (expressed as a decimal), and n is the number of time periods.
Substituting the values, we get:
P = 4000 × (1 + 0.25)4
P = 4000 × (1.25)4
After calculating, we find that P = 9765.63. Thus, the population of mosquitoes after 4 months is expected to be approximately 9,766.
The mosquito population grows from 4,000 to approximately 9,766 over 4 months with a 25% monthly increase.
The initial number of mosquitoes is 4,000, and the population increases at a rate of 25% per month. To find the population after 4 months, we use the formula for compound interest:
P = P0 [tex](1 + r)^{t[/tex]
where:
P0 is the initial populationr is the growth ratet is the time in monthsGiven:
P0 = 4,000r = 25% or 0.25t = 4Substitute these values into the formula:
P = 4000 × (1 + 0.25)⁴
First, calculate (1 + 0.25):
1 + 0.25 = 1.25
Then, raise this to the power of 4:
(1.25)⁴ = 2.4414
Finally, multiply by the initial population:
P = 4000 × 2.4414 = 9765.6
Thus, the mosquito population after 4 months is approximately 9,766.
Which expressions are equivalent to the one below? Check all that apply.
8^x
A. 32^x/4
B. (32/4)^x
C. 8 * 8^x + 1
D. x^4
E. 32^x/4^x
F. 8 * 8^x-1
Let's analyze each expression:
A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻².
This expression is not equivalent to 8ˣ, so it's incorrect.
B. (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.
D. x⁴ is not equivalent to 8ˣ, so it's correct.
E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
So, the expressions equivalent to 8x are: B, E, and F.
Let's assess each expression:
A. (32ˣ/4) can be rewritten as ((2⁵)ˣ/(2²)) = (2⁵ˣ/2²) = 2⁵ˣ⁻². This expression is not equivalent to 8ˣ, so it's incorrect.
B. (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
C. 8 × 8ˣ⁺¹ = 8ˣ⁺¹ + 1 This expression is not equivalent to 8ˣ, so it's correct.
D. x⁴ is not equivalent to 8ˣ, so it's correct.
E. (32ˣ/4ˣ) = (32/49)ˣ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
F. 8 × 8ˣ⁻¹ = 8ˣ⁻¹⁺¹ = 8ˣ This expression is equivalent to 8ˣ, so it's correct.
So, the expressions equivalent to 8ˣ are: B, E, and F.
Complete Question:
Which expressions are equivalent to the one below? 8x
A. 32ˣ/4
B. (32/49)ˣ
C. 8 × 8ˣ⁺¹
D. x⁴
E. (32ˣ/4ˣ)
F. 8 × 8ˣ⁻¹
Which of the following is equivalent to the midpoint between the points (8, -9) and (0, 5)?
(4, -2)
(4, 2)
(-2, 4)
(2, 4)