The value of x and y are 0.5 and 4 respectively.
2x+3y=13 ..... i
4x-y=-2 ...... ii
Multiply equation i by 4
Multiply equation ii by 2
8x + 12y = 52 ..... iii
8x - 2y = -4 ...... iv
Subtract iv from iii
14y = 56
Divide both side by 14
14y/14 = 56/14
y = 4
Since 4x-y=-2
4x - 4 = -2
4x = -2 + 4.
4x = 2
x = 2/4 = 0.5
Therefore, x = 0.5 and y = 4
Read related link on:
https://brainly.com/question/5144056
Given the values of the derivative f′(x) in the table and that f(0)=150, find or estimate f(x) for x=0,2,4,6.
To find or estimate f(x) for x=0,2,4,6, integrate the given derivative f'(x) with respect to x to find the constant term. Then, add each value of f'(x) in the table to the constant term to obtain the values of f(x) for x=0,2,4,6.
Explanation:To find or estimate f(x) for x=0,2,4,6, we need to use the values of the derivative f'(x) given in the table. Since f'(x) represents the rate of change of f(x) at different values of x, we can use the derivative to find or estimate the values of f(x). Given that f(0) = 150, we can start by finding the constant term of the function using this initial condition.
To find the constant term, we need to integrate the derivative f'(x) with respect to x. This will give us the original function f(x).Integrating f'(x) gives us f(x) = 150 + C, where C is the constant term we need to find.Next, we can use the given values of f'(x) in the table to find or estimate the corresponding values of f(x) for x=0,2,4,6.Let's assume that the third column in the table represents the values of f'(x) at different values of x. We can add each value to the constant term C to obtain the values of f(x) for x=0,2,4,6.Therefore, by integrating f'(x) and adding the constant term, we can find or estimate the values of f(x) for x=0,2,4,6.
Learn more about Finding or estimating values of a function using its derivative here:https://brainly.com/question/31732155
#SPJ2
Cody filled a container with 7 3/16 quarts of iced tea. how many 1/4 quart glasses can be served from the container
Find the exact circumference of a circle with the given radius. 5 inches C = 2.5 in. 10 in. 25 in.
Answer: The exact circumference of the circle is [tex]10\pi[\tex] in.
Step-by-step explanation:
Since, the circumference of a circle is,
[tex]C=2\pi r[/tex]
Where, r is the radius of the circle,
Here, r = 5 inches,
Hence, the circumference of the circle is,
[tex]C = 2\pi(5) = 10\pi\text{ in}[/tex]
Thus, The exact circumference of the circle is [tex]10\pi[\tex] in.
Solve for x.y = mx+b
A lender estimates the closing costs on a home loan of $50,000 as listed below.
Closing Cost
Charge
Loan origination
$200
Title insurance
$530
Attorney’s fees
$600
Appraisal
$265
Inspection
$575
Recording fees
$130
Escrow
$800
If the lender's good faith estimates are accurate, are they a reasonable amount for closing costs? Why or why not?
a.
Yes, because the lender esitmated 3.08% of the home loan in closing costs which falls between 3 - 5%.
b.
Yes, because the lender estimated 4.6% of the home loan in closing costs which does not fall between 3 - 5%.
c.
No, because the lender estimated 6.2% of the home loan in closing costs which does not fall between 3 - 5%.
d.
No, because the lender estimated 17.7% of the home loan in closing costs which does fall between
Answer:c.
No, because the lender estimated 6.2% of the home loan in closing costs which does not fall between 3 - 5%
Step-by-step explanation:
Summation of the cost of loan =200+530+600+265+575+130+800
=3100
Now percentage of the estimate=
(3100/50000)*100%
=6.2%
C- The lender should not consider them as reasonable amount of closing costs because the lender estimated 6.2% of the home loan in closing costs which does not fall between 3-5%.
The lender cannot be accepting these costs as this will lead to the lender incurring losses over a longer period after doing all the necessary calculations.
The lender has disbursed a home loan of $50000 on which he has estimated certain closing costs and are considered to be true and accurate. The costs are loan origination, title insurance, attorney's fees, appraisal, inspection, recording fees, escrow, etc.The amounts will add up as a summation of all the fees and charges as titles above are mentioned which will end up totaling to $3100[tex]200+530+600+265+575+130+800=3100[/tex]
The calculation of of costs in to the percentage of total home loan is calculated as dividing the cost with total loan amount which will be totaled as 6.2%.[tex]\frac{3100}{50000} *100= 6.2[/tex]
The costing of this home loan is way above the ideal range of 3-5% and is not worth disbursing and may be called back.Hence, the correct option is C that the amounts of $3100 are not a reasonable amount of closing costs because the lender estimated 6.2% of the home loan in closing costs which does not fall between the range of 3-5%.
To know more about closing costs, please refer the link below.
https://brainly.com/question/2983378
Carlos has 5/8 pound of pumpkin seeds. He puts the seeds evenly into 20 envelopes. How much pumpkin seed is in each envelope?
what is the absolute value of the complex number -4-sr2i
2.8y+6+0.2y=5y-4 what is the solution to the linear equation
a 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. how many containers of sugar will the 9 pound bag create?
Answer:
13 1/2
Step-by-step explanation:
What percentage of 3000 is 330
Answer:
11
Step-by-step explanation:
on a map 1 inch equals 18.4 miles. If two cities are 4.5 inches apart on the map, how far are they actually apart?
Describe or show two ways to find the following product: 1/4 x 2/3.
If m and n are two positive real numbers whose product is 10, what is the minimum value of m + 2n
The minimum value of (m + 2n) is 8.95 and this can be determined by using the arithmetic operations.
Given :
If m and n are two positive real numbers whose product is 10.
Given that m and n are two positive real numbers whose product is 10 that is:
mn = 10
[tex]\rm m= \dfrac{10}{n}[/tex] ---- (1)
The minimum value of (m + 2n) can be determined by using the following calculation.
Put the value of m in the given expression.
[tex]\rm = \dfrac{10}{n}+2n[/tex] ---- (2)
Now for minimum value differentiate the above expression with respect to n.
[tex]\rm =-\dfrac{10}{n^2}+2[/tex]
Now equate the above equation to zero.
[tex]\rm \dfrac{10}{n^2}=2[/tex]
[tex]\rm n = \sqrt{5}[/tex]
Now, put the value of n in equation (2).
[tex]\rm Minimum \;Value = \dfrac{10}{\sqrt{5} }+2\sqrt{5}[/tex]
= 8.95
The minimum value of (m + 2n) is 8.95.
For more information, refer to the link given below:
https://brainly.com/question/72395
How to find the factor for the expression
4x-6y
How many comparisons are required to merge these pairs of lists using algorithm 10?
a.1, 3, 5, 7, 9; 2, 4, 6, 8, 10
b.1, 2, 3, 4, 5; 6, 7, 8, 9, 10
c.1, 5, 6, 7, 8; 2, 3, 4, 9, 10?
if a ball is thrown directly upward with a velocity of 40 ft/s, its height (in feet) after t seconds is represented by 40t-16t^2. what is the maximum height attained by the ball?
The maximum height attained by the ball is 25 feet.
Explanation:The maximum height attained by the ball can be found by determining the vertex of the quadratic equation representing the height of the ball. In the given equation 40t - 16t^2, the coefficient of t^2 is negative, indicating a parabolic shape with a maximum point. The formula for the x-coordinate of the vertex is -b/2a, which in this case is -40/(2*(-16)) = 1.25 seconds. Substituting this value into the equation gives the maximum height: 40(1.25) - 16(1.25^2) = 25 feet.
How much pure acid should be mixed with 6 gallons of a 20% acid solution in order to get a 90% acid solution?
To get a 90% acid solution, you should mix 54 gallons of pure acid with the 6 gallons of the 20% acid solution.
Explanation:To solve this problem, we can use the formula for concentration:
Concentration = (Volume of pure acid) / (Total volume of solution)
Let x represent the volume of pure acid to be added. We know that the total volume of the solution after adding the pure acid is 6 gallons + x gallons. We also know that the concentration of the 20% acid solution is 0.2.
Using the formula, we can set up the equation:
0.9 = x / (6 + x)
Multiplying both sides of the equation by (6 + x), we get:
0.9(6 + x) = x
Simplifying the equation, we have:
5.4 + 0.9x = x
Subtracting 0.9x from both sides of the equation, we get:
5.4 = 0.1x
Dividing both sides of the equation by 0.1, we get:
54 = x
Therefore, you should mix 54 gallons of pure acid with the 6 gallons of the 20% acid solution to get a 90% acid solution.
Learn more about Calculating acid concentration here:https://brainly.com/question/29748394
#SPJ11
Min Jee wants to build a small patio using either brick or paver stones. It will be 70 inches long and 49 inches wide. Each brick covers an area of 3 1/2 inches by 7 1/2 inches, and cost $0.59. Each paver covers an areas 8.4 inches by 8.4 inches and costs $1.88. What would be less expensive to use, and by how much?
5m-1=4m+5 what is m.
The correct answer is 6. In other words, the value of m that satisfies the solving linear equation is m = 6.
In the given equation, we are asked to find the value of m. The equation states that the quantity 5m minus 1 is equal to the quantity 4m plus 5.
To solve this equation, we can use algebraic methods. The goal is to isolate the variable m on one side of the equation.
First, we combine like terms. By subtracting 4m from both sides of the equation, we eliminate the term with m on the right side. This results in the equation m - 1 = 5.
Next, we isolate the variable m by adding 1 to both sides of the equation. This cancels out the -1 term on the left side and gives us m = 6.
Therefore, the correct answer is 6. In other words, the value of m that satisfies the solving linear equation is m = 6.
Learn more about solving linear equations here:
https://brainly.com/question/2765891
#SPJ6
how to round 254 to the nearest hundred
Find all points on the circle x 2 + y 2 = 100 where the slope is 3 4
The points on the circle x² + y² = 100 where the slope of the tangent is ¾ are (6, -8) and (-6, 8). This is found by taking the derivative of the circle equation, setting it equal to the slope, solving for y, substituting this into the original circle equation, and solving for x.
Explanation:The equation of the circle is x² + y² = 100. To find the points on this circle where the slope of the tangent is ¾, we need to find the derivative of this equation. The derivative of y with respect to x is dy/dx = -x/y. Set this equal to ¾ and solve for y, which gives y = -4x/3. Substitute this into the original circle equation to solve for x, which yields x = ± 6. Then substitute these x-values back into the equation y = -4x/3 to get y = ± 8. Therefore, the points on the circle where the slope of the tangent is ¾ are (6, -8) and (-6, 8).
Learn more about Tangent Slope here:https://brainly.com/question/32393818
#SPJ12
Final answer:
To find points on the circle x² + y² = 100 where the slope is 3/4, differentiate the circle's equation and set the derivative equal to 3/4. Solve the system of equations involving the circle's equation and the line's equation derived from the slope criteria. This process typically yields two points of intersection due to the geometrical properties of circles and lines.
Explanation:
To find all points on the circle x2 + y2 = 100 where the slope is 3/4, we first acknowledge that the given circle is centered at the origin (0,0) with a radius of 10 units. Since the slope of a tangent to the circle at any point can be found using implicit differentiation, let's differentiate the given equation with respect to x. Doing so, we get 2x + 2yy' = 0 where y' denotes the slope of the tangent to the circle at (x,y). Solving for y', we get y' = -x/y. Setting this equal to the given slope of 3/4, we have -x/y = 3/4.
By cross-multiplying and rearranging, we get 4x + 3y = 0. To find the points of intersection between the line and the circle, we substitute x2 + y2 = 100 into this equation. Solving the system of equations will yield the points on the circle where the slope of the tangent is 3/4.
Note: The exact points of intersection would require solving a resulting quadratic equation, which can give two possible points since a line with a given slope (except vertical) will typically intersect a circle at two points.
write all names that apply to each number 121/121
What is 65 3/5 - 24 1/3
Albert thought of a number, added 5, multiplied the result by 2, took away 6 and then divided by 2 to give an answer of 8
spiders can walk on walls write the statement in if then form
A customer pays $3.27 for oranges and $4.76 for pears. How many pounds of fruit does the customer buy?
A total of 7 pounds of fruit does the customer buy.
Given that, a customer pays $3.27 for oranges and $4.76 for pears.
The cost of 1 pound orages=$1.09 and the cost of 1 pound pears=$1.19
What is a unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of pounds of oranges =3.27/1.09=3 pounds
The number of pounds of pears =4.76/1.19=4 pounds
Total weight=3+4=7 pounds
Therefore, a total of 7 pounds of fruit does the customer buy.
To learn more about the unitary method visit:
https://brainly.com/question/22056199.
#SPJ2
(3x-3)° [6{x-10)]° what is the value of x
The actual answer to this equation is x=19 not x=1 or n=0
If the circular opening of the pipe has a diameter of 21 inches and the oil was estimated to be flowing at 30 inches/second, how many cubic feet of oil were leaving the pipe each second? Each day?
To find the flow rate of oil, first calculate the cross-sectional area of the pipe using the formula for the area of a circle, A=πr². Then, multiply the area by the given oil speed to find the volume of oil flowing every second. Multiply this by the number of seconds in a day to find the amount of oil leaving the pipe each day, and remember to convert from cubic inches to cubic feet.
Explanation:The question is asking us to find the volume of oil leaving the pipe per second and per day. To calculate the flow rate of oil, we first find the cross-sectional area of the pipe by using the formula for the area of a circle A=πr², where r is the radius of the pipe (half the diameter). Since the diameter given is 21 inches, the radius is 10.5 inches.
Next, use the given flow rate of 30 inches/second to calculate the volume of oil flowing every second. This is done by multiplying the area by the oil speed V = A * oil speed.
To find the amount of oil leaving the pipe each day, we multiply the volume per second by the number of seconds in a day .
Note: To convert cubic inches to cubic feet (since the question asks for cubic feet), remember there are 1728 cubic inches in 1 cubic foot.
Learn more about Flow rate calculation here:https://brainly.com/question/31054204
#SPJ2
Find the area of the following circle. Use = 3.14
r = 5 yd.
round to the nearest tenth 10.357