Answer:
y-6=1/2(x-2) or y=1/2x+5
Step-by-step explanation:
First, let's find the slope of the line.
Slope is y2-y1/x2-x1 or rise/run
Let's label (2,6) and (-2,4)
x1=2
y1=6
x2=-2
y2=4
now plug in the numbers
4-6/-2-2 = -2/-4=1/2
now, let's make it a line
Point slope form is y-y1=m(x-x1) (m is slope)
Plug the points in
y-6=1/2(x-2)
of course, you could always simplify it to y=1/2x+5 (y=mx+b) format if you want.
Hope this helps!
Thanks! easpoddddddd
Answer:
[tex]-\frac{8}{7}\\or\\= -1\frac{1}{7}[/tex]
Step-by-step explanation:
[tex]-\frac{3}{7}\div \frac{3}{8}\\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=-\frac{3}{7}\times \frac{8}{3}\\\\=-\frac{8}{7}\\\\= -1\frac{1}{7}[/tex]
If the median house price in your area is $350,000, and the 30 -year mortgage rate is %5, how expensive of a house can you afford if you have a downpayment of $15,000. Assume you make $90,000 a year.
With a down payment of $15,000, an annual income of $90,000, and a 30-year mortgage rate of 5%, you should be able to afford a house with a median price of $350,000 in your area.
To determine how expensive of a house you can afford, we need to consider several factors, including your income, down payment, mortgage rate, and the median house price.
First, let's calculate the loan amount. Subtracting your down payment of $15,000 from the median house price of $350,000 gives us a loan amount of $335,000.
Next, we need to calculate your monthly mortgage payment. To do this, we will use the 30-year mortgage rate of 5%. Converting this annual rate to a monthly rate, we get 0.05/12 = 0.0042.
Using an online mortgage calculator, we can determine that the monthly mortgage payment for a $335,000 loan at a 5% interest rate is approximately $1,794.
To determine how much you can afford, we need to consider your income. Assuming an annual income of $90,000, we can estimate your monthly income by dividing it by 12, which gives us $7,500.
As a general rule, lenders typically recommend that your monthly mortgage payment should not exceed 28% of your monthly income. In your case, 28% of $7,500 is $2,100.
Since your estimated monthly mortgage payment of $1,794 is below $2,100, you should be able to afford a house with a median price of $350,000, given your income, down payment, and mortgage rate.
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1.) What is the slope, x- intercept and y-intercept of the equation 3y + 7x = 9?
2.) If x = -3, what is the value of y in 3x – 4y = 6?
3.) Complete the table of values below when 2x + 3y = 4
x. y. (x,y)
-2
-1
4.)If y = 5, what is the value of x in 5x + 2y = 10?
5.) What are the slope and y-intercept of 7x – 5y = 5?
1) The equation 3y + 7x = 9 can be rearranged into slope-intercept form as y = (-7/3)x + 3. The slope is -7/3, the x-intercept is (3, 0), and the y-intercept is (0, 3).
2) Substituting x = -3 into the equation 3x - 4y = 6 gives -9 - 4y = 6. Solving for y, we find y = -3/2.
3) For the equation 2x + 3y = 4, we can fill in the table of values by substituting different x-values and solving for y: (-2, 4/3), (-1, 2/3).
4) When y = 5 in the equation 5x + 2y = 10, substituting the value gives 5x + 2(5) = 10. Solving for x, we get x = 0.
5) The equation 7x - 5y = 5 can be rearranged as y = (7/5)x - 1. The slope is 7/5, and the y-intercept is (0, -1).
1) To find the slope, we can rearrange the equation 3y + 7x = 9 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. By isolating y, we get y = (-7/3)x + 3, so the slope is -7/3. The x-intercept can be found by setting y = 0 and solving for x: 3(0) + 7x = 9, which gives x = 3/7. Therefore, the x-intercept is (3/7, 0). Similarly, the y-intercept is found by setting x = 0 and solving for y: 3y + 7(0) = 9, which gives y = 3/7. Hence, the y-intercept is (0, 3/7).
2) To find the value of y when x = -3 in the equation 3x - 4y = 6, we substitute x = -3 and solve for y. Substituting -3 for x, we have 3(-3) - 4y = 6, which simplifies to -9 - 4y = 6. Solving for y, we move -9 to the right side by adding 9 to both sides, resulting in -4y = 15. Dividing both sides by -4, we find y = -3/2.
3) To complete the table of values for the equation 2x + 3y = 4, we substitute different x-values and solve for y. For x = -2, we have 2(-2) + 3y = 4, which simplifies to -4 + 3y = 4. Solving for y, we add 4 to both sides, giving 3y = 8. Dividing by 3, we find y = 8/3, so the point is (-2, 8/3). Similarly, for x = -1, we have 2(-1) + 3y = 4, which simplifies to -2 + 3y = 4. Solving for y, we add 2 to both sides, resulting in 3y = 6. Dividing by 3, we find y = 2, so the point is (-1, 2).
4) To determine the value of x when y = 5 in the equation 5x + 2y = 10, we substitute y = 5 into the equation. Substituting 5 for y, we have 5x + 2(5) = 10, which simplifies to 5x + 10 = 10. Solving for x, we move 10 to the right side by subtracting 10 from both sides, giving 5x = 0. Dividing both sides by 5, we find x = 0.
5) The equation 7x - 5y = 5 can be rearranged into slope-intercept form. By isolating y, we get -5y = -7x + 5, and dividing by -5 yields y = (7/5)x - 1. Comparing this form to y = mx + b, we can determine that the slope is 7/5 and the y-intercept is (0, -1).
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On the interval [0, 2π), which points are intersections of r = 5 + 4 sin(θ) and r = −6 sin(θ)? Check all that apply.
Answer:
(3,7π/6),(3,11π/6)
Step-by-step explanation:
You let
5 + 4 sin(θ) = −6 sin(θ)
Then get
θ= -1/2
Then you can make it
My english is not well,but my math is good
Answer:
D and E
Step-by-step explanation:
Edge 2020
A shark can chase prey at about 30 miles per hour. What is this rate in miles per minute
Answer:
0.5 miles per minute
Step-by-step explanation:
0.5 miles per minute
The perimeter P (in yards) of a soccer field is represented by the formula P= 2l + 2w, where l, is the length (in yards) and w, is the width (in yards).
PLEASE HELP NEED RN WILL GIVE BRAINLY IF CORRECT
Answer:
the equation used for the dollar amount earned is r= 10 and p=76
divide 304 by 4 and 100 by 10
Which sentence best describes an incentive for saving for education with a 529 plan?
A.
The income generated by a 529 plan is tax exempt.
B.
Colleges offer a reduced price for tuition paid for with funds from a 529 plan.
C.
There is no penalty if withdrawals are made for non-education-related expenses.
D.
The income generated by a 529 plan is tax deferred.
Answer:
A. The income generated by a 529 plan is tax exempt
Answer:
A The income generated by a 529 plan is tax exempt.
Step-by-step explanation:
I just took the master quiz 5/5
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 22 cards, which was 10% of the cards sold for Mother's Day. How many cards were sold for Mother's Day?
Answer:
220 cards
Step-by-step explanation:
22/x = 10%/100
100x22= 2200 divided by 10= 220
x=220
22/220 = 10%/100
(I know this is 5 days late but I Hope this helped!)
60 degrees
40 degrees
130 degrees
120 degrees
Answer: 60 is your answer
Answer:
d. 120 i hope this helped
Can someone tell on how do I find the measures for both angle one and angle two?
The angles in the square is as follows:
∠1 = 45°
∠2 = 90°
How to find angles in a square?A square is a quadrilateral that has 4 sides equal to each other. The sum of angles in a triangle is 360 degrees.
The diagonal bisect each other and are perpendicular to each other. The diagonals divide the squares into two congruent isosceles triangle.
Therefore, let's find angle 1 and 2 in the square as follows:
Hence, each angle in a square is 90 degrees and the diagonal AC bisect the angles.
∠1 = 45 degrees
∠2 = 90 degrees
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A solid-gold jewelry box was found in the underwater palace of Cleopatra just off the shore of Treasure City. The length of the rectangular box is
37
centimeters less than triple
the width. The perimeter of the box is
198
centimeters. Find the length and width of Cleopatra's solid-gold jewelry box
The length of Cleopatra's solid-gold jewelry box is 65 centimeters, and the width is 34 centimeters.
Let's denote the width of the jewelry box as 'x' centimeters. According to the given information, the length of the box is 37 centimeters less than triple the width, which can be expressed as '3x - 37' centimeters.
The perimeter of a rectangle is given by the formula: P = 2(length + width). In this case, we have the perimeter as 198 centimeters. Substituting the values into the formula, we can set up the equation:
198 = 2(3x - 37 + x)
Simplifying the equation:
198 = 2(4x - 37)
99 = 4x - 37
4x = 99 + 37
4x = 136
x = 34
The width of the jewelry box is 34 centimeters. Now we can find the length by substituting the value of 'x' back into the expression for the length:
Length = 3x - 37
Length = 3(34) - 37
Length = 102 - 37
Length = 65
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The 6th-grade class has 140 students. A field trip for the class costs $7.06 per student. Which amount best
estimates how much the field trip will cost?
Answer:
Around $988.40
Step-by-step explanation:
5x+8+x=8x-4 solve for x
Answer:
solution here,
5x+8+x = 8x-4
6x +8=8x-4
8+4=8x-6x
12=2x
x=12/2
x =6
hence, the value of x is 6
I NEED HELP RIGHT NOW!
What is the value of the 2 in 0.429 (decimals)
Answer:
The value of 2 is in the hundredths places
Step-by-step explanation:
helpp !!! I will mark as brainliest
helppppppppppp
From left to right
1. -1.0
2. -1/4
3. 1(1/4)
solution is on the picture attached
Hope this helps
help me piz piz piz
.......................
Answer:
see explanation
Step-by-step explanation:
Dividing 10.5 by 5 gives the number of trees required for 1 cabin.
10.5 ÷ 5 = 2.1 ← trees , thus
3 cabins = 3 × 2.1 = 6.3
7 cabins = 7 × 2.1 = 14.7
Thus
number of trees number of cabins
--------------------------------------------------------
10.5 5
6.3 3
14.7 7
Answer:
7 cabins = 14.7 trees & 3 cabins = 6.3 trees
Step-by-step explanation:
Divide 10.5 by 5 to get how many trees it takes to make ONE cabin.
10.5/5=2.1
ONE cabin needs 2.1 trees to be existent. This can help you figure out how many trees it takes to make any number of cabins.
The ratio for one cabin = 2.1:1
Multiply this by 3 to get how many trees you need for 3 cabins.
2.1*2=6.3 trees needed to make 3 cabins
Do the same for 7 cabins.
2.1*7=14.7 trees needed to build 7 cabins.
Help me solve this pleaseeee
The surface area of the prism in this problem is given as follows:
S = 636 m².
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
The figure for this problem is composed as follows:
Rectangular prism of dimensions 14 m, 6 m and 7 m.Rectangular prism of dimensions 4 m, 6 m and 7 m.Hence the surface area for this problem is given as follows:
S = 2 x (14 x 6 + 14 x 7 + 6 x 7 + 4 x 6 + 4 x 7 + 6 x 7)
S = 636 m².
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To Buy or To Rent After university, you got a new job. Then you decide to rent a spacious two-story townhouse for $2,000 per month, which included parking but not utilities or cable television. You enjoyed the neighborhood. A while later, the next-door identical townhouse became available. You can purchase it for $350,000. You wonder if this is a good time for you to own your first home. You decide to consult family at a gathering. Members of your family had given you mixed opinions around the buy versus rent debate. Some family suggested that you should buy because the home will appreciate and increase in value over time. Others suggested that rent is better because it gave you flexibility to move and it is cheaper to rent. You could not decide which way to do. In organizing your house after the dinner, you found your notes from Engineering Economics. You remembered that some of the math you learnt can be used for project evaluation. You decided to conduct a financial analysis to help you understand which option is better. If you purchase the home, you will start to pay a maintenance fee of $350 per month. On top of that, you will also need to pay for annual property tax of $3,600, which can be paid monthly. As a first-time buyer, you qualify for 5% down payment. If you choose this option, you will have to include a default insurance of $15,000 as part of your mortgage. To avoid the insurance, you will need to provide 20% of down payment. You will also need about $2,000 for your lawyer to close the deal in either case. You are prequalified for a five-year closed conventional mortgage with an interest rate of 5.5%, compounded semiannually. You hope to amortize the mortgage in 25 years with monthly payments. At the end of the five-year term, you have the option to pay off the mortgage in full without penalty. You are currently earning $5,000 per month and have a saving of $80,000 in the bank account earning 4.5% interest rate, compounded monthly. Your currently spend another $1,500 for living cost, assuming this will stay the same if your purchase. Any unspent amount is being put into your saving account. Your hope is to move to a large home in 5 years regardless. In the event of purchasing, you will sell the home at the market price at the time, plus 5% of the transaction price for retailer, and another $2,000 for legal. Assuming the interest rate are stable, and ignoring inflation, which of the following options should you choose if the house price remains unchanged, and what about the price goes up by 15% ? 1) To rent 2) To buy with 5% down 3) To buy with 20% down Please conduct a financial analysis by calculating the different scenarios, you should state what are some relevant considerations, your assumptions for the financial model, and your recommendations. Particularly, you should explain what cash flows are considered for the analysis, and what are not.
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Based on the financial analysis, the recommended option would be to buy the townhouse with a 20% down payment if the house price remains unchanged or increases by 15%.
The financial analysis takes into account several factors. The cash flows considered include the monthly mortgage payments, maintenance fees, property taxes, closing costs, and potential proceeds from selling the house in the future. The analysis also considers the interest earned on savings and living expenses.
By comparing the costs and potential returns of renting versus buying, it becomes evident that purchasing the townhouse offers better financial prospects. The appreciation in the value of the home over time, along with the equity gained through mortgage payments, can outweigh the expenses associated with owning the property. Additionally, the down payment of 20% eliminates the need for default insurance and reduces the overall interest paid on the mortgage, making it a more favorable option.
Furthermore, owning a home provides the benefit of building equity and stability. It allows for personalization and potential improvements to the property. Although renting offers flexibility, the financial analysis suggests that the long-term benefits of homeownership outweigh the advantages of renting in this scenario.
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5+6-1+5=? Please and thank you
help me please and thank you
Answer:
1. >
2. >
Step-by-step explanation:
When multiplying the numbers, you start by finding the simplified term of the exponent. 10^3 is 1000. You then have 1.24 * 1000 ? 1 * 1000. You know 1.24 > 1. So You know that it is 1.24 ^ 10^3 is greater.
Find the simplified term of the exponents.
10^-4 = 0.0001 * 7.36 = 0.00736
10^-5 = 0.00001 * 8.5 = 0.000085
0.00736 > 0.000085
Consider the parabola y- 6x x2 (a) Find the slope of the tangent line to the parabola at the point (1, 5). (b) Find an equation of the tangent line in part (a). Find f (a). f(x) = 4x2-3x + 2 f(a)-10- X Need Help? Read It Talk to a Tutor nts SEssCalc2 2.1.039 mber N of US cellular phone subscribers (in millions) is shown in the table. (M 69 109 141 | 182 233 | (a) Find the average rate of cell phone growth between the following years. I t 1996 1998 2000 2002 2004 2006 | NI 44 (i) from 1998 to 2002 million phones/yr million phones/yr million phone/yr (ii) from 2000 to 2002 (ii) from 1998 to 2000 (b) Estimate the instantaneous rate of growth in 2000 by taking the average million phones/yr Talk to a Tutor (a) İf G(x)-x2-5x + ร. find Gta) and use it to find equations of the tangent lines to the arve y·2-5x + 5 at the points (0,5) and (6, 11). Vi(x) (passing through (O, 5)) (passing through (6, 11))
a) The slope of tangent is 12.
b) The equation of the tangent is given by : y = 12x - 7.
a)The given parabola is y = 6x².
Differentiating with respect to x, we have;
dy/dx = 12x.
The slope of the tangent at point (1, 5) is
dy/dx = 12x = 12(1) = 12.
So, the slope of the tangent is 12.
b)We have the slope of the tangent as 12 and the point (1, 5).
The equation of the tangent is given by
y - y₁ = m(x - x₁).
Substituting y₁ = 5, x₁ = 1, and m = 12, we have;
y - 5 = 12(x - 1).
Expanding the equation, we get;
y = 12x - 7.
f(a)To find f(a), we are given f(x) = 4x² - 3x + 2.
Substituting x = a, we get;
f(a) = 4a² - 3a + 2.
Substituting a = -10, we get;
f(-10) = 4(-10)² - 3(-10) + 2
= 40
2.Estimate the average rate of cell phone growth
(i) from 1998 to 2002:
The change in the number of phone subscribers is 233 - 109 = 124 million.
The change in the number of years is 2002 - 1998 = 4 years.
So, the average rate of cell phone growth from 1998 to 2002 is;
124/4 = 31 million phones/year.
(ii) from 2000 to 2002:
The change in the number of phone subscribers is 233 - 141 = 92 million.
The change in the number of years is 2002 - 2000 = 2 years.
So, the average rate of cell phone growth from 2000 to 2002 is;
92/2 = 46 million phones/year.
(iii) from 1998 to 2000:
The change in the number of phone subscribers is 141 - 109 = 32 million.
The change in the number of years is 2000 - 1998 = 2 years.So, the average rate of cell phone growth from 1998 to 2000 is;
32/2 = 16 million phones/year.
(b) Estimate the instantaneous rate of growth in 2000:
We are given the change in the number of phone subscribers from 1998 to 2000 as 32 million and from 2000 to 2002 as 92 million.
The change in the number of years is 2 years.
Therefore, the average rate of cell phone growth in 2000 is;
(32 + 92)/2 = 62 million phones/year.
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10x + 6y = 150
a. Write your own word problem that could match the equations above.
b. Rewrite the equation in the slope-intercept form.
c. Graph the Equation
Answer:
a. Someone has to buy 10 mini cupcakes per person who comes to their party. They also have to get 6 cookies. They end up having to but 150 total of both cupcakes and cookies combined. How many people came? (I'm not sure if that's completely right, that's just what came to mind.)
b. y=10x+25
c. I graphed it but it wouldn't let me add a picture. Sorry
Step-by-step explanation:
Slope- Intercept Form: y=mx+b
10x+6y=150
-10x -10x
6y=150-10x
6 6
y=25-10x
switch 25 and -10x so that it is in mx+b form
y=-10x+25
The word problem that matches the given equation is "A cupcake box price is $10 and the cookies box price is $6. But Joe only has $150". The slope-intercept form of the given equation is [tex]y = -3/5\;x+25[/tex].
Given :
Equation -- [tex]10x+6y = 150[/tex]
a) A cupcake box price is $10 and the cookies box price is $6. But Joe only has $150. So, write the equation that matches the above situation.
b) The slope-intercept form is given below:
[tex]y = mx +c[/tex]
So, the given equation can be written in the above formate as:
[tex]y = -\dfrac{3}{5}x+25[/tex]
c) The following steps can be used in order to graph the given equation:
Step 1 - First, sketch the graph of [tex]y =x[/tex].
Step 2 - Now, multiply the x-axis in the above graph by a factor of -3/5. So, the graph obtained is the graph of [tex]y=-3/5 \;x[/tex].
Step 3 - Now, translate the above graph by a factor of 25 in the left direction. So, the graph obtained is the graph of [tex]y = -3/5\;x+25[/tex].
The graph of the given equation is attached below.
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Find the least number of six digits which is a perfect square
Answer:
100489
Step-by-step explanation:
Solve and find the value of X : 21=11×(1−x/0.4)+17 [enter your answer with 3 decimals]
We are given an equation involving the variable x and we need to solve for its value.
The given equation is 21 = 11 * (1 - x/0.4) + 17.
To find the value of x, we will isolate it on one side of the equation.
Let's simplify the equation step by step: 21 = 11 * (1 - x/0.4) + 17
First, we can simplify the expression inside the parentheses: 21 = 11 - 11 * x/0.4 + 17.
Next, we can simplify further by combining like terms:21 = 28 - 11 * x/0.4
To eliminate the fraction, we can multiply both sides of the equation by 0.4: 0.4 * 21 = 0.4 * (28 - 11 * x/0.4. 8.4 = 11 * (28 - 11 * x/0.4)
Now, we can distribute the 11: 8.4 = 308 - 44 * x
To isolate x, we can subtract 308 from both sides: 8.4 - 308 = -44 * x . -299.6 = -44 * x
Finally, we can solve for x by dividing both sides by -44: x = -299.6 / -44 ≈ 6.809
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The ratio of the number of hippos to the number of crocodiles at a watering hole is 4:3. If you draw a double number line diagram that would show the number of crocodiles if there were 20 hippos, how may crocodiles would you have? Group of answer choices
Answer: 15 crocodriles
Step-by-step explanation:
We know that the ratio is 4:3
This means that for each 4 hippos, we have 3 cocodriles.
We know that there are 20 hippos.
How many groups of 4 hippos we have?
n = 20/4 = 5
So we have 5 groups of 4 hippos, this means that we also have 5 groups of 3 crocodiles, then we have:
3*5 = 15 crocodiles
please see attached screenshot. thanks!
Answer:
10
Step-by-step explanation:
4+4/4*(5+1)=
4+1(6)=
4+6=
10
HELPPP PLEASE !!:///
Answer:
5x+26 because you add 5 each time
3+1[tex]\frac 121+3\\[/tex]
how to solve x^2-7=-x^2+1
Answer:
Step-by-step explanation:
1. add -[tex]x^{2}[/tex] to +[tex]x^{2}[/tex] to get x on the same side.
and then it would be [tex]2x^{2}[/tex] -7 = 1
2. add 7 on the other side then you get:
[tex]2^{2}[/tex] = 8
3. square root both sides to get rid of the squared. Then you'd get:
2x = [tex]\sqrt{8}[/tex]
4. divide both sides to have x by itself. Then you get:
x = [tex]\frac{\sqrt{8} }{2}[/tex] is your solution
