LETTER B IS THE CORRECT ANSWER
Sonya took out a mortgage of $65,000 at 7% for 25 years. What is the cost of the mortgage?
The cost of the mortgage is $81250
What are interests?
Interests are percentages of a principal
Given the following parameters
Principal = $65000
Rate = 7% = 0.07
Time = 5 years
I = PRT/100
I = 65000*0.07*25
I = 16,250
Cost of mortgage = Principal + Interest
Cost of mortgage = 65000 + 16250
Cost of mortgage = 81,250
Hence the cost of the mortgage is $81250
Learn more on mortgage here: https://brainly.com/question/22846480
Answer:
$72,823
Step-by-step explanation:
just took test
Question 3 of 5
The cylindrical part of an architectural column has a height of 295 cm and a
diameter of 30 cm. Find the volume of the cylindrical part of the column. Use
3.14 for it and round your answer to the nearest cubic centimeter if needed.
30 cm
-I
295 cm
O A. 833,670 cm3
OB. 208,418 cm
O C. 27,789 cm3
O D. 29,217 cm
Urgent need please hurry
Help help help ASAP help
Answer:
(8, -2)
Step-by-step explanation:
While reflection over x-axis, the x-coordinate remains the same and the y-coordinate changes to it's opposite.
So,
Rx-axis => = (8, -2)
Z
77°
P
W
X
What is the measure of arc XWZ?
OA
257°
O B. 1039
O C. 206°
O D. 1543
Find the center and the radius of the circle.
(x-4)^2 + (y + 3)^2 = 74
Answer:
radius = [tex] \sqrt{74} [/tex]center = [tex](4,-3)[/tex]Step-by-step explanation:
We would like to calculate the centre and the radius of the circle . The given equation is ,
[tex]\longrightarrow (x - 4)^2+(y+3)^2=74 [/tex]
As we know that the Standard equation of circle is given by ,
[tex]\longrightarrow (x - h)^2+(y-k)^2=r^2[/tex]
where ,
[tex](x,y)[/tex] is a point on circle .[tex](h,k)[/tex] is the centre of circle .[tex]r[/tex] is the radius of the circle .We can rewrite the equation as ,
[tex]\longrightarrow (x-4)^2+\{ y -(-3)\}^2=(\sqrt{74})^2\\ [/tex]
Now on comparing to the standard form , we have ;
radius = [tex]r[/tex] = [tex]\sqrt{74}[/tex]center = [tex](h,k)[/tex] =[tex](4,-3)[/tex]Graph :-
[tex] \setlength{\unitlength}{7mm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\circle*{0.2}}\put(0.2, - .1){(4,-3)}\put(-1.2,0){\vector(0,1){5}}\put(-1.2,0){\vector(0, - 1){5}}\put(-1,0.7){\vector(1,0){5}}\put(-1,0.7){\vector( - 1,0){5}}\put(0,0){\line(-1,0){2.3}}\put( - 1.2,-0.7){$\sf \sqrt{74}$}\put(2,6){$\boxed{\sf \textcopyright \: RISH4BH }$}\end{picture} [/tex]
And we are done !
We are given the equation of circle (x - 4)² + (y + 3)² = 74 , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-4)^{2}+(y+3)^{2}=74}[/tex]
Can be further written as ;
[tex]{:\implies \quad \sf (x-4)^{2}+\{y-(-3)\}^{2}=({\sqrt{74}})^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (4, -3)Radius = √74 unitsA group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is represented below using d for the dollars that person raises and w for the miles that person walks. Select all the representations that can be described by the equation d = 2w.
Answer:
B, C, EStep-by-step explanation:
According to coordinates on the graphs and numbers in the tables we have the following relationship:
A) d = 1/2wB) d = 2wC) d = 2wD) d is not proportional with w since 12/6 ≠ 18/10 ≠ 20/12E) d = 2wAs we see B, C and E have same relationship, matching the target.
Step-by-step explanation:
hope it's help you this answer
In the past year, Jose watched 32 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?
Answer:
40%
Step-by-step explanation:
Givens and Formula
% Good = (number good / total number) * 100
% Good = ?
Number Good = 32
Total Number = 80
Solution
% Good = (32 / 80) * 100
% Good = 2/5 * 100
% Good = 40%
5th root of 0.06
please I need fast only answer
7*8/10 product lies between what numbers
Answer:
5 and 6.
Step-by-step explanation:
7*8 is 56. 56 divided by 10 is 5 6/10
8. Which statement about quadrilateral is true? A All rectangles are always squares B. All trapezoids are always rhombuses C. All rectangles are always rhombuses. D. All rectangles are always parallelogram
Answer:
I think it's D. All rectangles are always parallelogram
Step-by-step explanation:
Please mark me brainliest if correct
Under a dilation, the point (2, 6) is moved to (6, 18).
What is the scale factor of the dilation?
Enter your answer in the box.
Answer quick please !!!
Answer:
3
Step-by-step explanation:
Answer: The correct answer is 3
Step-by-step explanation:
:) it should be correct have a good day!
Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular prism. He now needs to cover the wooden blocks on all sides with a green fabric.
How much fabric does Abdul need in order to cover 8 of these blocks?
Step-by-step explanation:
4cm×2cm×1/2=4cm³
4cm³×8=32cm³
I think the answer is 176
Step-by-step explanation:
please tell me if I'm wrong
Which of the following expressions does NOT represent
91 +91 + 91?
O 91(3)
O 91.3
O (91)(3)
0913
Answer:
91.3 and 0913
Step-by-step explanation:
91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.
Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.
91.3 would happen if you were adding .3 to 91
And 0913 would happen if you added 91 and 822
According to the labor statistics document, which educational level has the highest median
income?
The doctoral degree educational level has the highest median income
What are educational level?Education level refers to the years of formal instruction received and successfully completed.
From research in 2017 for those with the highest levels of educational level (doctoral and professional degrees) income is more than triple those with the lowest level (high school diploma)
Find out more on educational level at: https://brainly.com/question/2987151
Answer: Bachelor's Degree, and Male
Step-by-step explanation:
Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh. If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9), what are the coordinates of Burlington?
Answer:
The answer is (-4, 15/2)
Step-by-step explanation:
Let the Boone be x, Winston-Salem be y, Raleigh be z and Burlington be m.
We are given that Winston-Salem is halfway between Boone and Raleigh. Burlington is halfway between Winston- Salem and Raleigh.
If Boone is located at the coordinates (-1,3) and Raleigh is at (-5, 9).
We will use Midpoint Formula
[tex]( \frac{x _{1} + x _{2}}{2} , \frac{y _{1} + y _{2}}{2} ) \\ [/tex]
Where,
x₁ = (-1) and x₂ = (-5)
y₁ = 3 and y₂ = 9
Now, We will find Co-ordinates of y i.e., Winston-Salem.
So,
[tex] ( \frac{( - 1) + ( - 5)}{2} , \frac{3 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 1 - 5)}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( \frac{ - 6}{2} , \frac{12}{2} ) \\ [/tex]
[tex]( - 3,6)[/tex]
Here, The coordinates of y i.e., Winston-Salem is (-3, 6).
Now, We will find Co-ordinates of m i.e., Burlington.
So,
Again, Using of Midpoint Formula;
Where,
x₁ = (-3) and x₂ = (-5)
y₁ = 6 and y₂ = 9
So,
[tex]( \frac{( - 3) + ( - 5)}{2} , \frac{6 + 9}{2} ) \\ [/tex]
[tex]( \frac{( - 3 - 5)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( \frac{( -8)}{2} , \frac{15}{2} ) \\ [/tex]
[tex]( - 4 , \frac{15}{2} ) \\ [/tex]
Thus, The coordinates of Burlington is (-4, 15/2).
The circumference of a circle is 62.8 centimeters. What is the circle's radius?
C=62.8 cm
Use 3.14 for .
centimeters
Hello!
To solve this exercise, we must use the formula below:
[tex]\mathrm{C=2\cdot\pi\cdot r}[/tex]
C = 62.8cmπ = 3.14r = ?Knowing these values, let's replace them in the formula to obtain r:
[tex]\mathrm{62.8=2\cdot\ 3.14\cdot r}\\\mathrm{62.8=6.28r}\\\mathrm{6.28r=62.8}\\\\\mathrm{r=\dfrac{62.8}{6.28}}\\\\\boxed{\mathrm{r=10}}[/tex]
So, the radius of this circle is 10cm.
Hope this helps!
i am confused please help
Answer:
volume = lenght x width x height
v= 12x20x14
v=3,360 in³
Consider the rectangle with width 4 ft and length 18 ft, write a ratio of the length to the width.
Answer: 18:4
Step-by-step explanation:
Ez
Answer:
9 : 2
Step-by-step explanation:
length : Width = 18 : 4
[tex]\sf = \dfrac{18 \ \div \ 2}{4 \ \div \ 2}\\\\=\dfrac{9}{2}[/tex]
= 9 : 2
Need help with math probelm if do 5 stars and brainly points
Step-by-step explanation:
let's first convert feet to inches
4 ft = 48 inches ( width )
6.5 ft = 78 inches ( length )
12.5 ft = 150 inches ( height )
each cube is 1/4 x 1/4 x 1/4
x-axis ( length )
78 ÷ 1/4 = 78 x 4 = 312 cubes
y-axis ( width )
48 x 4 = 192 cubes
z-axis ( height )
150 x 4 = 600 cubes
the total number of cubes fit in the closet is :
312 x 192 x 600 = 35,942,400 cubes
what is equivalent to 2
x
2
−
7
x
−
3
=
0
Answer:
I'm confused with this, I dont understand what you are asking.
Step-by-step explanation:
2 is equivalent with a lot of things,
1+1
3-1
92-90
7×7-47
4÷2
the list goes on...
simplify 5/9x4 3/5x6 3/11x6/10 and 3 4/5x7 1/2
Answer:
529/55 and 57/2
Step-by-step explanation:
9. If triangle GFE - triangle GHJ, find the value of x.
Answer:
2
Step-by-step explanation:
→ Find the scale factor
12 ÷ 7.5 = 1.6
→ Form an equation
x + 6 = 1.6 ( 2x+ 1 )
→ Solve
x = 2
hellllp meeeee need help, 100 points
Answer:
Step-by-step explanation:
View the attached graph for what your image should look like.
I hope this helps or gives you a picture of what it should look like, because it's quite a long process.
Hope this helps!
Find the measures of the interior angles?
Answer:
well it's says for a its 35° and B is 100° to find x it would be 180-(35+110)=x
Step-by-step explanation:
180-(35+110)=180-145=35. so x=35°
Choose the number (X) that should come next in this series (1 4 9 16 X).
20
23
25
27
Answer:
25
Step-by-step explanation:
[tex]1^2=1\\\\2^2=4\\\\3^2 = 9\\\\4^2=16\\\\\text{So the next number should be}~ 5^2=25[/tex]
AA culture started with 4000 bacteria. after 5 hours it grew to 4800 bacteria. Predict how many bacteria will be present after 15 hours. Round your answer to the nearest whole number. p=ae^kt
Answer:
p = 6912 after 15 hoursp = 4000·e^(0.036463t)Step-by-step explanation:
We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...
p(t) = (initial population) × (growth factor)^(t/(growth period))
where the "growth factor" is the multiplying factor of the population in period "growth period."
__
Exponential Function (1)Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...
p(t) = 4000×1.2^(t/5)
__
PopulationThe population after 15 hours is ...
p(15) = 4000×1.2^(15/3) = 4000×1.728
p(15) = 6912
__
Exponential Function (2)To change this to the form ae^(kt), we find the value of k to be ...
k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463
Then the desired form of the function for p is ...
p(t) = 4000·e^(0.036463t)
_____
Additional comment
In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.
Simplify sin^2x+sin^2x+tan^2x
Answer:
Step-by-step explanation:
Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?
Answer:
it’s C. 2.5
Step-by-step explanation:
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answer:
C. 56.42
Step-by-step explanation:
56 is a whole number and .42 is 42 hundredths