Answer:
126,000
Step-by-step explanation:
150,000 * .15 = 22,500
150,000 - 22,500= 127,000
127,000 - 1500 = 126,000
Enter the equation of the line in slope-intercept form.
Slope is -3, and (4,2) is on the line.
The equation of the line is
Answer:
y = -3x+14
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
Substitute the point into the equation to solve for b
2 = -3(4)+b
2 = -12+b
2+12 = -12+b+12
14 = b
y = -3x+14
simplify -8/2 ÷ 6/-3
Answer: the answer is 2 or C
-8/2 x -3/6
*Always do the recipical*
(-8 x -3) / (2 x 6)
-8 x -3= +24
2 x 6= 12
24/12= 2
The solution of the given expression -8/2 x -3/6 is 2. The correct option is B.
What is an expression?In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Given that the expression is,
-8/2 x -3/6
The expression will be solved as below,
E = (-8 x -3) / (2 x 6)
The numerator will get reciprocal and multiplied to the denominator,
E = 24 / 12
Divide the number 24 by 12 and get the solution,
E = 2
Therefore, the solution of the expression will be 2. The correct option is B.
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what is the best estimate for the value of 3/2
Answer:
[tex]1\frac{1}{2}[/tex] or 1.33%
Step-by-step explanation:
Find the value of x given in the right triangle
Answer: 7.1 units
Step-by-step explanation:
Using Pythagorean theory, c^2 - a^2 = b^2
We know c= 10
We know a=7
We are looking for b
10^2 - 7^2 = b^2
51= b^2
Take square root of both sides
7.1=b
The circumference of a circle changes from 20 to 4 after a dilation. What was the scale factor of the dilation? StartFraction 1 Over 25 EndFraction One-fifth 5 25
Answer:
B.
Step-by-step explanation:
Which graph represents the function f (x) = 3 times 5 to the second power?
1. Find an equation of the line in point-slope form passing through point (-2,5) and parallel to the
line whose equation is 4x - 2y = -5
Answer:
[tex]\boxed {\boxed {\sf y-5= 2(x+2)}}[/tex]
Step-by-step explanation:
We are asked to find the equation of a line in point-slope form.
As the name of the form describes, we need both a point and the slope. We are given a point, but we have to find the slope.
1. SlopeThe line is parallel to the line with the equation of 4x-2y= -5. Parallel lines have the same slope, so once we find the slope of the line with the given equation, we have the slope of the other line whose equation we are finding.
[tex]4x-2y= -5[/tex]
We can find the slope by putting the equation into slope-intercept form, or y=mx+b (where m is the slope and b is the y-intercept). We must isolate the variable y. 4x is being added to -2y. The inverse of addition is subtraction, so subtract 4x from both sides.
[tex]4x-4x-2y= -5-4x[/tex]
[tex]-2y= -5-4x[/tex]
y is being multiplied by -2. The inverse of multiplication is division, so divide both sides by -2.
[tex]-2y/-2=(-5-4x)/-2\\ y= \frac{-5}{-2} + \frac{-4x}{-2} \\ y= \frac{5}{2}+2x[/tex]
The coefficient of x is the slope, so the slope of the line is 2. Any line that is parallel also has a slope of 2.
2. Point- Slope EquationNow we have a point and a slope, so we can use the point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is the point.
We know the slope is 2 and the point is (-2,5).
m=2 x₁ = -2 y₁= 5[tex]y-5=2(x- -2 ) \\\bold {y-5= 2(x+2)}[/tex]
The equation of the line in point-slope form is y-5= 2(x+2)
In the diagram below, what is the approximate length of the minor arc AB?
Answer:
The answer is "Option C"
Step-by-step explanation:
Given:
[tex]r= 30 \ cm\\\\\theta =60^{\circ}[/tex]
Using formula:
[tex]\frac{A}{\theta}=\frac{\pi r^2}{2\pi}\\\\\frac{A}{\theta}=\frac{\pi r^2}{2}\\\\A=\frac{r^2\times \theta}{2}[/tex]
If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong
Answer:
The probability is [tex]\frac{3}{4^7}[/tex].
Step-by-step explanation:
Total questions = 7
Number of choices of each question = 4
Probability to give the correct answer = 1/4
Probability to give the wrong answer = 3/4
Probability to give 1 answer wrong
[tex]\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}[/tex]
SOMEONE HELP ME PLEASE
Answer:
what are the answer choicesss
Step-by-step explanation:
Please help me answer this question
Answer:
a, 14.13. b, 39.25
Step-by-step explanation:
so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.
A is 14.13
for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.
B is 39.25
WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)
Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
Aaron would like to buy an e-reader that sells for $249. How mich will the e-reader cost after 13% tax
Answer:
$281.37
Step-by-step explanation:
249x0.13=32.37
249+32.37= 281.37
Answer:
Total cost of e-reader = 281.37
Step-by-step explanation:
= 249+249×13%
=249+32.37
=281.37
What graph below shows the solution for the linear inequality y ≥ -1/3x+1?
Answer:
b
Step-by-step explanation:
i just answered it
Answer:
D
I can suggest some insight how to analyze this type of problem...
1) the y intercept has to be 1... they all are so no help
2) the slope is negative, they all are so no help
3) the sign is ≥ so the "fill" goes up ... A or D
4) the ≥ means that the line has to be SOLID not a dash ONLY D left.
Step-by-step explanation:
please help me with this
Answer:
a=2 b = 3 c=8
Step-by-step explanation:
2^5
-------
4
Rewrite 4 as 2^2
2^5
------
2^2
We know that x^y / x^z = x^(y-z)
2^(5-2)
2^3
8
If 1 ounce of silver costs $5.50, how much money is needed to buy 2 1/2 pounds of silver?
16 oz = 1 pound
Answer:
0.858
Step-by-step explanation:
2 1/2 from oz to pound is 0.156 and then mutiply that by 5.50 is 0.858
Please help me I’m struggling
Answer:
1st box: 49
2nd box: 7
3rd box: 7
4th box: 2
5th box (above): 1
6th box (below): 3
7th box: 7
8th box: -12
9th box: -2
A cuboid has the length 4cm, width 3cm and length 1.5cm Calculate the volume of the cuboid
Answer:
18 because we will multiply them all together
formula applied was lbh multiplied together. Mark me as the brainliest
Step-by-step explanation:
Please help!! I am literally in tears!!
Consider the function, y = - 13x +52. Find the inverse of the function by solving it for
x. Then, use the inverse to find a value of y such that x = 182.
Answer:
The customary method of finding the inverse is some variant of the method I'm going to use below. Whatever method you use, make sure you do the exact same steps in the exact same order every time, so you remember those steps when you get to the test.
Find the inverse of y = 3x – 2.
Here's how the process works:
Here's my original function:
y = 3x - 2
Now I'll try to solve for "x =":
y + 2 = 3x
(y + 2)/3 = x
Once I have " x =", I'll switch x and y; the "y =" is the inverse.
y = (x + 2)/3
Then the inverse is y = (x + 2) / 3
If you need to find the domain and range, look at the original function and its graph. The domain of the original function is the set of all allowable x-values; in this case, the function was a simple polynomial, so the domain was "all real numbers". The range of the original function is all the y-values you'll pass on the graph; in this case, the straight line goes on for ever in either direction, so the range is also "all real numbers". To find the domain and range of the inverse, just swap the domain and range from the original function.
Step-by-step explanation:
A pancake recipe requires two and two thirds cups of milk to one cup of flour. If four and two thirds cups of milk is used, what quantity of flour will be needed, according to the recipe?
Answer:
There will need to be 2 and 1/3 cups of flour according to the recipe
Step-by-step explanation:
Given the recipe, we can say that for each 2 and 2/3s cups of milk, one cup of flour is used. We can write this as ( 2 + 2/3) cups of milk / (1) cup of flour.
We can also write 2 + 2/3 as 2*(3/3) + 2/3 = 6/3 + 2/3 = 8/3, making our ratio
(8/3) / 1
The ratio stays the same, no matter how many cups of milk or flour are used. Therefore, (8/3) /1 = (4 + 2/3) / cups of flour
Writing our final cups of flour as c, we can say
(8/3) / 1 = (4+2/3) / c
(4+2/3)/c = (12/3 + 2/3) /c = (14/3) /c
(8/3)/1 = (14/3) /c
anything divided by 1 is equal to itself
(8/3) = (14/3)/c
multiply both sides by c to make the variable not a denominator
(8/3) * c = 14/3
multiply both sides by 3 to remove the denominators
8 * c = 14
divide both sides by 8 to isolate the c
c = 14/8 = 7/3 = 6/3 + 1/3 = 2 + 1/3
There will need to be 2 and 1/3 cups of flour according to the recipe
CAN SOMEONE HELP ME PLEASE
What is the solution to the linear equation?
x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x
x = –5
x = –negative StartFraction 1 Over 6 EndFraction
x = StartFraction 1 Over 6 EndFraction
x = 5
Central and Eastern Europe experienced ethnic tensions in the early 1900s primarily because
Answer:
Step-by-step explanation:
PLease help
Belinda is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 186,160 193,606.40 201,350.66
House 2 (value in dollars) 190,000 201,000 212,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 30 years. Will there be any significant difference in the value of either house after 30 years? Explain your answer, and show the value of each house after 30 years. (4 points)
There are several types of functions, but this question is limited to just 2 types, which are the exponential function and the linear function.
House 1 has an exponential function of [tex]f(x) = 179000 * 1.04^x[/tex] while house 2 has a linear function of [tex]f(x) =11000x+179000[/tex]. House 1 will have a greater value in 30 years and the difference between the values of the two houses is significant.The given parameters can be represented as:
[tex]\begin{array}{cccc}{Years} & {1} & {2} & {3} & {House\ 1} & {186,160 } & {193,606.40 } & {201,350.66} & {House\ 2} & {190,000 } & {201,000 } & {212,000} \ \end{array}[/tex]
(a): The type of function
First, we check if the function is linear by calculating the difference between each year
House 1
[tex]d = 193606.40 - 186160 = 7446.4[/tex]
[tex]d = 201350.66 - 193606.40 = 7744.26[/tex]
The difference are not equal; hence, the function is not linear. So, we can assume that it is exponential
House 2
[tex]d = 201000 - 190000 =11000[/tex]
[tex]d = 212000 - 201000 =11000[/tex]
The difference are equal; hence, the function is linear.
(b): The function of each
House 1
An exponential function is represented as:
[tex]y = ab^x[/tex]
When [tex]x = 1;\ y =186,160[/tex]
We have:
[tex]186,160 =ab^1[/tex]
[tex]186,160 =ab[/tex] ---- (1)
When [tex]x = 2;\ y =193606.40[/tex]
We have:
[tex]193606.40 =ab^2[/tex] --- (2)
Divide (2) by 1
[tex]\frac{193606.40}{186160} =\frac{ab^2}{ab}[/tex]
[tex]1.04 = b[/tex]
[tex]b = 1.04[/tex]
Make a the subject in (1)
[tex]186,160 =ab[/tex]
[tex]a = \frac{186160}{b}[/tex]
[tex]a = \frac{186160}{1.04}[/tex]
[tex]a = 179000[/tex]
So, the function for house 1 is:
[tex]f(x) = 179000 * 1.04^x[/tex]
House 2
A linear function is represented as:
[tex]y = mx + b[/tex]
First, we calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m = \frac{201000 - 190000}{2 - 1}[/tex]
[tex]m = \frac{11000}{1}[/tex]
[tex]m = 11000[/tex]
So, the equation is:
[tex]y =m(x-x_1) + y_1[/tex]
Substitute known values
[tex]y =11000(x-1) + 190000[/tex]
[tex]y =11000x-11000 + 190000[/tex]
[tex]y =11000x+179000[/tex]
So, the function for house 2 is:
[tex]f(x) =11000x+179000[/tex]
(c): House with the greatest value in 30 years
This means that:
[tex]x = 30[/tex]
For house 1, we have:
[tex]f(x) = 179000 * 1.04^x[/tex]
[tex]f(30) = 179000 * 1.04^{30}[/tex]
[tex]f(30) = 580568.15[/tex]
For house 2, we have:
[tex]f(x) =11000x+179000[/tex]
[tex]f(30) = 11000 * 30+ 179000[/tex]
[tex]f(30) = 509000[/tex]
By comparison;
[tex]580568.15> 509000[/tex]
House 1 will have a greater value in 30 years
And the difference between the values is significant
The difference is:
[tex]d =580568.15-509000[/tex]
[tex]d =71568.15[/tex]
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Casey is kayaking on a lake. It took Casey 20 minutes to travel 0.4 miles. How many miles will he kayak in 2 hours?
Answer:
2.4 miles
Step-by-step explanation:
0.4 / 20 = 0.02
0.02 x 120
= 2.4
Which expression is equivalent to (x^-6/x-2)^3
Answer:
= (6/x - 2)^3
What is the standard deviation of the following data set rounded to the nearest tenth? 300,785,670,187,760,724
Answer:
S.D = 236.5
~~~~~~~~~~~~~~~~~~
300,
785,
670,
187,
760,
724
Answer:
300, 790, 670, 190, 760, 720
Help again this is my last retake
5^3x +2 = 25^x – 8
step by step please
Answer:
-8
Step-by-step explanation:
It wont let me upload anything so i will come back with steps later
find the original price if the price was 420 after a 10% discount
Answer:
466.67
Step-by-step explanation:
Let p be the original price
p - 10 % p = 420
p - .10p = 420
.9p = 420
Divide each side by .9
.9p/.9 = 420/.9
p =466.666666
Rounding to the nearest cent
p = 466.67
PLS DO THIS ASAP
no links
Answer:
SPEED ANSWER!!!!
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD!!!!!!!!!!