The total closing cost is 3. 5% of the amount of the mortgage. So, the total amount would be $10500.
What is down payment?An initial payment made when something is bought on credit to make the down payment.
First National Savings & Loan is willing to lend them money at 6. 5% for 25 years, provided the MacAllister's can make a $79,900 down payment.
$379,900 - $79,900 =$300,000
because down payments are never included with the total mortgage loan.
The total closing cost is 3. 5% of the amount of the mortgage.
3.5 percent for closing costs
= [tex]3.5/100 \times 300000\\\\3.5 \times 3000\\\\10500[/tex]
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√x^2+6x+9 if x<3
Pls help cant solve it
Answer:
F(x) < 6
Step-by-step explanation:
[tex]\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}[/tex]
This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6
PAOLA GAVE AWAY 42 OF HER BOOKS SHE NOW HAS 150 BOOKS CALCULATE THE PERCENT CHANGE
HINT: how many books did she HAVE
please help me
Answer:
21.875%
Step-by-step explanation:
We need an equation to represent this problem,
Let x be the number of books she had before giving away 42 of them,
x - 42 = 150
To find out how many books she had before turn the problem around and add 42 with 150,
150 + 42 = x
⇒ x = 192
Now that you know that divide 42 by 192,
Let n be the quotient of 42/192
42/192 = n
⇒ n = 0.21875
Now to turn that into a percent move the decimal 2 spaces to the left,
0.21875
⇒ 2.1875
⇒ 21.875%
Therefore there was a 21.875% change.
what is the number of possible outcomes if two quarters are tossed at the same time and the numbers of heads and tails are counted
in how many combinations can acommittee consisting of 4 men and 3 women be chosen from 8 men and 6 women
The measure of an exterior angle of a triangle and the sum of the measures of the two remote interior angles are _____________.
Answer:
The measure of an exterior angle of a triangle is supplementary to its adjacent interior angle. The sum of the remote interior angles must equal the measure of the exterior angle of the triangle.
Step-by-step explanation:
What's are all the answers? Tap on the image.
Answer:
I think B, C, and F are the answers.
Step-by-step explanation:
Which expression is equivalent to (4 x cubed) (2 x) superscript negative 4?
Answer:
section covers somplifying algebraic expressions
Step-by-step explanation:
(4[tex]x^{3}[/tex])(2[tex]x^{-4}[/tex]) = [tex]\frac{4x^{3} }{2x^{4} }[/tex] = 2/x⇒Answer:
A) 1/4x
Step-by-step explanation:
Cause I took the test and got it right
Which statement is true?
The value of 4,576 x (2,480 + 3) is 3 more than the value of 4,576 x 2,480.
The value of 2,550 x (1,588 − 4) is 4 less than the value of 2,550 x 1,588.
The value of 2,943 x 5,682 + 6 is 6 times the value of 2,943 + 5,682.
The value of 4,530 − 2,356 is half the value of 2 x (4,530 − 2,356).
Answer: Last option is true,
Step-by-step explanation: All other option are false
Answer:
D
Step-by-step explanation:
A semicircular window has a diameter of 10m what is the perimeter of the window use 3. 14 for pi ?
Please help it’s worth 20 points!!!
Answer:
25.7 m
Step-by-step explanation:
Semicircles are half circles that are divided at the diameter.
We want to find the semicircle arc.
To do this, just find the circumference of the circle and then divide by 2.
Circumference formula:
2rπ or Dπ
10π = 31.4
31.4 / 2 = 15.7
Now, we have to find the straight line part of the semicircle. The length of that straight line is the diameter. We already know that the diameter is 10.
Add
15.7+10 = 25.7
Solve the system of equations. I need the answer today
x=2-y
x-2y-11=0
Answer:
(5, -3)
Step-by-step explanation:
if x=2-y then 2-y-2y-11=0
-3y-9=0
-3y=9
y= -3
x= 2+3=5
⚠️‼️ HELP PLEASE GIVING POINTS !!
Answer:
m∠QPR = 25°.
Step-by-step explanation:
If m∠QPR = 9x + 16°, substitute in 1 for 'x':. 9(1) + 16 = 9 + 16 = 25°
pls pls pls pls pls pls pls answer it pls :(
Answer:
1. BC≅DC ; AC≅EC
2. ∠BCD≅∠ACE and ∠BCA≅∠DCE
3. SAS (side angle side)
Step-by-step explanation:
Mary has been put in charge of buying soft drinks and chips for a party. If the soft drinks total $25
and chips are $3.29 per bag, how many bags of chips can Mary buy if she wants to spend at most?
Answer: 22
Step-by-step explanation: She will have $75 To spend on drink and that can buy 75/3.29 chips
A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.
Step-by-step explanation:
Area750 cm² = 750 × 10^-4 m²
pressure = F/A
= 61 /(750×10^-4)
= 61 × 10⁴/750
= 0.081 × 10⁴
= 810 N/ m²
Answer:
813N/m^2
Step-by-step explanation:
Pressure is defined as the amount of force applied to an area. There are 100cm in a single meter, therefore:
[tex]750cm^2=\sqrt{750} cm\frac{1}{100} \frac{m}{cm} =\frac{\sqrt{750} }{100} m=0.075m^2[/tex]
Pressure formula is:
[tex]P=Force/Area=61N/0.075m^2=813N/m^2[/tex]
What’s 56,105 minus 15 percent
Answer:
833
Step-by-step explanation:
First find the 15% of 56,105;
[tex]\frac{15}{100}[/tex] * 56,105 = x
0.15 * 56,105 = x
882 = x
Now subtract 15% of 56,105 from 56,105;
15% of 56,105 = 882
now;
56,105 - 882 = 833
Hope this helps!
5. What's true of the distribution of any variable, if your model is the mean of that variable? A The distribution of the variable is more narrow than the distribution of its residual. The distribution of the variable is more narrow than the distribution of its residual. B The distribution of the variable is always centered on a number lower than the distribution of the residual is centered on. The distribution of the variable is always centered on a number lower than the distribution of the residual is centered on. C The distribution of the variable is always centered on 0, whereas the center of the distribution of its residual is unpredictable. The distribution of the variable is always centered on 0, whereas the center of the distribution of its residual is unpredictable. D The distribution of the variable is the same shape as the distribution of its residual
The true statement about the distribution of any variable model around the mean is (D) The distribution of the variable is the same shape as the distribution of its residual
The true statement about the distributionFrom the question, we understand that the distribution of the model is based on its mean or average value.
The above means that the upper and the lower deviations are balanced.
Hence, the true statement about the distribution of any variable model around the mean is (D)
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A garden is in the shape of an isosceles right triangle. The length of the hypotenuse is 24 feet. What is the area of the triangle?
Answer:
Area = 144 ft^2
Step-by-step explanation:
Remark
Use the Pythagorean theorem to find the length of the legs. Then multiply them together and divide by 2.
Equations
a^2 + a^2 = c^2
Area = (1/2) * a^2
Givens
c = 24
Solution
Remember that an isosceles triangle has 2 equal sides. Both legs of the triangle are equal to a.
a^2 + a^2 = c^2 Combine
2a^2 = 24^2 Expand
2a^2 = 576 Divide by 2
2a^2/2= 576/2
a^2 = 288 You might just as well leave this. go to area
Area = 1/2 (288)
Answer: Area = 144 ft^2
HELPPP PLSSSSSSSSSSSSSSSS!!!!!!
Answer:
£6633.04
Step-by-step explanation:
Compound interest is worked out by using decimal multipliers on a calculator basically,
so,
6000 x 1.034 (because 3.4% = 0.034)
but you want it for three years so you would do
6000 x 1.034 x 1.034 x 1.034
hope that helped
What is the density of a 60-gram pyramid with rectangular base 5 cm x 7 cm and height 9 cm?
Answer:
0.571428571429 grams per cm³
Step-by-step explanation:
density = mass/volume
Let’s calculate the volume V of the pyramid :
V = (1/3)×base×height
= (1÷3)×(5×7)×9
= 105 cm³
Then
The density = mass/volume
= 60÷105
= 0.571428571429
Write the slope intersect form of the equation.
Through (8,1) perpendicular to y =1/2x +2
Answer:
Step-by-step explanation:
y= -(1/2)x - 5
How does the value of the digit 3 in the number 63,297 compare to the value of
the digit 3 in the number 60,325? Be sure to include what you know about place
value in your answer.
Explain
Answer:
Look below
Step-by-step explanation:
The digit three is in the thousands place in the number 63,297, so it represents 3,000. The digit three is in the hundreds place in the number 60,325, so it represents 300.
Find the missing length pleaseeee!!!
Step-by-step explanation:
9.
[tex] \frac{15}{x} = \frac{10}{32} \\ x = 48[/tex]
So QR = 48
10.
[tex]since \: \: \frac{9}{13.5} = \frac{12}{18} \: \: we \: have \\ \\ \frac{12}{18} = \frac{10}{x} \\ x = 15[/tex]
So QP is 15
Last week, Caden's Ice Creamery sold 14 sundaes with nuts and 36 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answer:
14:36
Step-by-step explanation:
What is the solution to the system of equations graphed below? A. (0, 2) B. (–2, 1) C. (0, –3) D. (–4, 0)
Answer:
B
Step-by-step explanation:
the solution to the system is at the point of intersection of the 2 lines.
the lines intersect at (- 2, 1 )
then solution to system is (- 2, 1 )
I need help NOW asp please!!!!
Answer:
Option A, [tex]385.0\ ft^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the base
[tex]A = l * w[/tex]
[tex]A = 11\ ft * 11\ ft[/tex]
[tex]A = 121\ ft^2[/tex]
Step 2: Determine the area of the triangles
[tex]A = \frac{h * b}{2}[/tex]
[tex]A = \frac{12\ ft * (11\ ft / 2)}{2}[/tex]
[tex]A = \frac{12\ ft * 5.5\ ft}{2}[/tex]
[tex]A = \frac{66\ ft^2}{2}[/tex]
[tex]A = 33\ ft^2[/tex]
There are two of these triangles per side which means that there are 8 of these triangles in total.
[tex]33\ ft^2 * 8[/tex]
[tex]264\ ft^2[/tex]
Step 3: Determine the surface area
[tex]SA = 121\ ft^2 + 264\ ft^2[/tex]
[tex]SA = 385\ ft^2[/tex]
Answer: Option A, [tex]385.0\ ft^2[/tex]
John and Brian each live 2 kilometers from their school. John walks to school and Brian rides his bicycle. The graphs show the distance each boy travels to school.
John and Brian travel at the same speed between minutes ___ and ___
Answer:
Between minutes 6 and 10
Step-by-step explanation:
Look at the slope of the line. It appears to be the same between both lines between minutes 6 and 10
Answer:
they travel at the same speed between minutes 6 and 10
Milk Glass A has a diameter of 3.5 inches and a height of 4 inches . Glass B has a radious of 1.5 inches and a height of 5 inches. Which glass can hold more milk
Answer:
Milk Glass A can hold more milk.
Step-by-step explanation:
This problem mostly relies on the diameter of the milk glass.
To solve the problem, we'll find the volume of each glass as though it were a cylinder.
First, we start with the area of the base of each cylinder.
Using the formula [tex]\pi r^{2}[/tex], we can find the area of each base.
Note that r represents radius, which is half of the diameter, d.
The area of the base on Milk Glass A can be found with: [tex]\pi 1.75^2[/tex] which equals 9.62 inches squared.
The area of the base on Milk Glass B can be found with: [tex]\pi 0.75^2[/tex] which equals 1.77 inches squared.
Now that we have the area of each base, we just multiple the area by the height to get the full volume.
The volume of Milk Glass A can be found by multiplying [tex]9.62*4[/tex] which equals 38.48 cubic inches.
The volume of Milk Glass B can be found by multiplying [tex]1.77 *5[/tex] which equals 8.85 cubic inches.
Therefore, the larger answer of 38.48 cubic inches means Milk Glass A can hold more milk.
A local dairy has three machines to fill half-gallon milk
cartons. The machines can fill the daily quota in 5
hours, 6 hours, and 7.5 hours, respectively. Find how
long it takes to fill the daily quota if all three machines
are running.
Answer:
Step-by-step explanation:
let's assume the quota is 1
1=the time each machine takes to fill the quota thus;
1=5hrs what about 1hr=1/5
1=6hrs what about 1hr =1/6
1=7.5hr what about 1hr =2/15
add: 1/5+1/6+2/15=1/2 reciprocate
=2hrs
Avery and Megan are cutting paper to make origami stars. They need 1/5 of a sheet of paper in order to make each star. If they have 6 sheets of paper, how many stars can they make? Explain your work and draw a picture to support your reasoning.
Answer:
30 stars
Step-by-step explanation:
There are 5 1/5ths in 1. So 5x6(sheets of paper) is 30. For the picture part you could draw 6 sheets of paper and divide each into five parts.
Hope this helps! :)
a cylindrical water bottle is 15 centimeters tall. it can hold 753.6 of water. What is the radius of water the waterbottle? use 3.14 for
Answer:
The answer is 4cm.
Step-by-step explanation:
Given:
Height= 15cm
The volume of the Cylindrical bottle= 753.6
They have said to use π= 3.14
We are supposed to find r.
-------------------------------------------------------------
Volume of cylinder= πr²h
now substitute teh values given in the formula..we will get:
753.6 = 3.14× r²× 15
After u solve it , you will get
r²= 16
∴r = √16= 4cm
So, the radius of the bottle is 4cm
Hope it helps!!
A scale drawing of Jack's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm. If each 1 cm on the scale drawing equals 5 feet, what are the actual dimensions of the room? (5 points) Length = 11 feet, width = 9 feet Length = 30 feet, width = 20 feet Length = 8 feet, width = 12 feet Length = 22 feet, width = 20 feet
Answer:
(b) Length = 30 feet, width = 20 feet
Step-by-step explanation:
The scale factor is applied to the drawing dimensions to find the actual dimensions.
__
length = (6 cm) × (5 ft)/(1 cm) = 30 ft
width = (4 cm) × (5 ft)/(1 cm) = 20 ft
_____
Additional comment
You can also write the scale factor as part of a proportion:
5 ft : 1 cm :: x ft : 6 cm
Multiplying by 6 cm gives
(5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above