Answer:
For example, if a car runs 44 km on 2 litres of petrol then we can use the unitary method to find out the kilometres it will cover on 1 litre of petrol. In other words, the method by which we find out the value of one unit and further use it to find the value of multiple units is known as the unitary method.
Step-by-step explanation:
Hope this helps!
Neil's bank offered him a 4.95% interest rate for his mortgage. If he
purchases 3 points, what will his new rate be?
O A. 0.375%
O B. 4.575%
C. 1.75%
O D. 4.375%
Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.
How to calculate the interest rate?To calculate the new interest rate after purchasing points, we need to know the cost of one point and the number of points purchased.
One point typically costs 1% of the mortgage amount, so three points would cost 3% of the mortgage amount. The cost of the points is usually paid upfront at closing.
Assuming Neil's mortgage amount is $100,000, the cost of 3 points would be:
3% x $100,000 = $3,000
To calculate the new interest rate, we need to add the cost of the points to the original interest rate and then recalculate it as a percentage:
New rate = Original rate + (Cost of points / Mortgage amount)
New rate = 4.95% + ($3,000 / $100,000)
New rate = 4.95% + 3%
New rate = 7.95%
So, Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.
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Please help
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Need help fast!! Please help
Answer:
I am pretty sure it is 10.5
Step-by-step explanation:
Answer:
10.5
Step-by-step explanation:
your equation: DT = DH + HT
HT = 2DH
so now your equation is DT = DH + 2DH
plug in your values: 3.5 + 2(3.5)
you get DH = 10.5
6. Determine the value of x and y in the diagram below.
Show how you determined the value of x and y using Algebra
Answer:
y=43
X=34
Step-by-step explanation:
a) 2y+4=90
2y+4-4=90-4
2y=86. divide 86 by 2 to get y.
b) 3x-11=90
3x-11+11=90+11
3x=101. divide 101 by 3 to get X.
please help me asap.
Answer:
it would for sure be a
Step-by-step explanation:
Helppppppppppppppppppppppppp
Find the measure of the exterior angle
Answer:
A exterior angle of a polygon is an angle outside the polygon formed by one of its sides and the extension of an adjacent side.
Find the length of the segment AB
-4 to 2
The length is I (Type an integer or a decimal.)
Answer:
The length of AB is positive 6
Find 12% of 200 plz help ty
Answer:
Step-by-step explanation:
to find this, you would do multiply the two since "of" means multiply
12% of 200
.12(200)
24 is your answer
The point (-3, -5) is on the graph of a function. Which equation must be true regarding the function?
SAAB
Of(-3) = -5
f(-3,-5) = 8
f(-5) = -3
O f(-5, -3) = -2
Answer:
F(-3) = -5
Step-by-step explanation:
I got it right on the test
Prove that quadrilateral Q(1, 2), U(2, 5), A(5, 7) and D(4, 4) is a parallelogram by using slopes.
Slope of QU =
Slope of AD =
Slope of UA =
Slope of QD =
Which sides are parallel (give the letters) A) sides QU and AD B) sides QU and UA C) sides UA and QD D) sides AD and QD
Answer:
[tex]m = 3[/tex] ---- Slopes of QU and AD
[tex]m =\frac{2}{3}[/tex] ---- Slopes of UA and QD
Sides QU and AD have the same slope
Sides UA and QD have the same slope
Step-by-step explanation:
Given
[tex]Q = (1, 2)[/tex]
[tex]U = (2, 5)[/tex]
[tex]A = (5, 7)[/tex]
[tex]D = (4, 4)[/tex]
Solving (a): Slope of QU
[tex]Q = (x_1,y_1)= (1, 2)[/tex]
[tex]U = (x_2,y_2)= (2, 5)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{5-2}{2-1}[/tex]
[tex]m =\frac{3}{1}[/tex]
[tex]m = 3[/tex]
Slope of AD
[tex]A =(x_1,y_1) = (5, 7)[/tex]
[tex]D = (x_2,y_2) = (4, 4)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{4-7}{4-5}[/tex]
[tex]m =\frac{-3}{-1}[/tex]
[tex]m = 3[/tex]
Slope of UA
[tex]A =(x_1,y_1) = (5, 7)[/tex]
[tex]U = (x_2,y_2)= (2, 5)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{5-7}{2-5}[/tex]
[tex]m =\frac{-2}{-3}[/tex]
[tex]m =\frac{2}{3}[/tex]
Slope of QD
[tex]Q = (x_1,y_1)= (1, 2)[/tex]
[tex]D = (x_2,y_2) = (4, 4)[/tex]
Slope, m is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m =\frac{4-2}{4-1}[/tex]
[tex]m =\frac{2}{3}[/tex]
Solving (b): Parallel Sides
Two sides are said to be parallel if they have the same slope.
The slope were calculated in (a) above and from there, we have the following observations
1. QU and AD have the same slope of 3
2. UA and QD have the same slope of 2/3
Laurie wants to put a portable cellular phone mini-tower on her roof. the tower cannot be placed higher than 30 feet. the slant of the roof can be represented by the equation r(x)=-1/4|x|+60. If her house is 40 feet wide where could she place the tower? Explain
Answer:
on the ground
Step-by-step explanation:
Rani bought 3 shirts for $9 each. Which equation can be used to find the total cost of the shirts, c?
Answer:
3(9) =c
Step-by-step explanation:
Answer:
3(c)=total cost
Step-by-step explanation:
If 3 shirts = $9
then 1 shirt = $3
c shirts= $3(c)
Plot the points (-6,8) and (0,8) on the coordinate plane below.
What is the distance between these two points?
units
The points (-6,8) and (0,8) are coordinate points, and the distance between the points (-6,8) and (0,8) is 6 units
The distance between the two pointsThe points are given as:
A = (-6,8)
B = (0,8)
The distance between the points is calculated using:
[tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]
So, we have:
[tex]d= \sqrt{(-6 - 0)^2 + (8 -8)^2}[/tex]
Evaluate
d = 6
Hence, the distance between the points (-6,8) and (0,8) is 6 units
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What is the slope of the line?
Answer:
3/2 3 over 2
Step-by-step explanation:
rise/run
rise over run
Answer:
-8/5
Step-by-step explanation:
I plugged in the points (-1,4) and (4,-4) into the formula y2-y1 divided by x2-x1
What would be the slope of the line perpendicular to the line y=3/5x-5
Answer:
y=-3/5x-5
the slope would be -3/5
insert parenthesis in the following problem to make it true.
7 – 2 x 2 – 1 = 9
help me!!!
Answer:
(7-2) x 2 -1 = 9
Step-by-step explanation:
(7-2) = 5 x 2 =10 -1 = 9
I am unable to understand how to solve this question, please send the working out.
Answer:
[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]
Step-by-step explanation:
14. Write a description of the rule (x,y) (x + 10, y + 8)
a translation 10 units to the right and 8 units up
b. translation 10 units left and 8 units down
c. translation 10 units to the right and 8 units down
d. translation 10 units to the left and 8 units up
Answer:
A
Step-by-step explanation: took the test
What is another way to write 75?
5+5+5+5+5+5+5
7×7×7×7×7
5×5×5×5×5×5×5
7+7+7+7+7
Answer:
3 • 25
Step-by-step explanation:
3 25 times also makes 75
Evaluate the function requested. Write your answer as a fraction in lowest terms. find cos B
Answer:
what? please give more details
Step-by-step explanation:
Answer: A
Step-by-step explanation:
see pictures
−5x + 8 ≤ −2x + 23 was solved by dividing each side of the inequality by −3 in the last step. Is there another way to solve this inequality so that you can avoid dividing by a negative number? Explain.
Answer:
x≥−5
Step-by-step explanation:
Lynn bought 3 bags of chips for $1.86 each and 2 bottles of apple juice for $3.27 cach. If the tax on the items was $0.43, what was the total amount she spent?
Answer:
for the chips she spent $5.15 and for the apple juice she spent $6.11
Step-by-step explanation:
1.86*3=5.58
5.58-0.43=5.15
3.27*2=6.54
6.54-0.43=6.11
Complete the solution of the equation. Find the value of Y when X equals 5. X-5y=45
Answer:
y = -8
Step-by-step explanation:
5 - 5y = 45
-5y = 40
y = -8
Answer:
-8
Step-by-step explanation:
replace X with 5
subtract 5 from both sides of the equation:
-5y = 40
divide by - 5
y = -8
A go cart designer wants to build a Go Cart that measures 4 feet in height, 6 feet in width and 8 feet in length. He needs to construct a three - dimensional model of the Go Cart. Which measurements are appropriate for the scale model? a. 2 feet wide, 5 feet long and 2 feet high b. 3 feet wide, 4 feet long and 2 feet high c. 2.5 feet wide, 2 feet long, and 1.5 feet high d. 6 feet wide, 5 feet long and 3 feet high
Answer:
The correct answer is:
3 feet wide, 4 feet long, and 2 feet high (b)
Step-by-step explanation:
The appropriate scale for the model must be equivalent to the scale of the actual design. This means that the variation must be of the same magnitude in the length, height, and width.
Cart design = 4 feet high; 6 feet wide; 8 feet long
Cart design = 4H : 6W : 8L
where H, W, and L are height, width, and length respectively.
since the model of the Go Cart will be lesser than the actual Cart, let us divide the original cart design by the model designs given in the option, anyone that gives us a consistent variation is a right scale. This is done as follows:
a) Model design = 2H : 2W : 5L
dividing the original dimension by the model:
[tex]\frac{4H}{2H} : \frac{6W}{2W} : \frac{8L}{5L} \\= 2 : 3 : 1.6\\[/tex]
since the variations are not the same, this is the wrong model.
b) Model design = 2H : 3W : 4L
[tex]\frac{4H}{2H} : \frac{6W}{3W} : \frac{8L}{4L} \\= 2 : 2 : 2\\[/tex]
variation is the same across the three dimensions, hence this is the right model.
You can go ahead to use the same principle to do the third model, to see what you will get.
Alba worked for 6 hr and 45 min at $10.90 per hour. What numbers could she use to estimate how much money she earned? Estimate the amount she earned and state whether you think the exact amount is a little more or a little less than your estimate
Answer:
Step-by-step explanation:
If we're going by estimation, then you can do 11 and 7 hours, meaning that she would make 77 for the 7 hours but the exact answer would be a bit less than the estimation
10.9 times 6.75 is 73.58 roughly. so 3 dollars and 42 cents off
Answer:
1. She could use 7 hours and 11 dollars per hour.
2. $77 (7x11)
3 I'd say my estimate is a little more than the exact amount because I did 6.75 (6.75 because 45 minutes is 75% of a hour) x 10.90 and got 73.575.
Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $2,200 worth of merchandise? Zarah would earn $ _________ for that week.
Plzzzzzzz I will mark you as a brainliest and you will have 15 points plz someone help:)
Answer:
a. -2+6 (ends up at 4)
b -2+(-6) (ends up at -8)
Step-by-step explanation:
can someone help me please
Answer:
greg
Step-by-step explanation:
heffly is a sociopath. he shall burn in the gates of hell
Please help need answers
Answer:
y=0
Step-by-step explanation:
There is no slope so there is a slope of 0
The y-intercept is the origin so also 0 so the equation will be y=0
