Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,
[tex]\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs[/tex]
Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.
Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,
[tex]\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200[/tex]
Hence, the amount that is paid by the family in mortgage per month is equal to $1200.
Learn more about Units conversion:
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The diameter of a circle is 13 m. Find its circumference in terms of pie
Answer:
The answer is [tex]13\pi[/tex] or 40.84
Step-by-step explanation:
We are given the diamater so
[tex]r=\frac{d}{2}[/tex]
[tex]r=\frac{13}{2}[/tex]
[tex]r=6.5[/tex]
Formula for circumference.
Take note.
C = circumference
r = radius
[tex]C=2\pi r[/tex]
You want your answer in terms of Pi.
So we can write another equation.
[tex]2\pi r=\pi x[/tex]
x stands for the number in terms of Pi.
Now we can solve for x.
[tex]x=\frac{2\pi r}{\pi }[/tex]
Now lets plug in what we know.
[tex]x=\frac{2*\pi*6.5 }{\pi }[/tex]
[tex]x=13[/tex]
What is the value of x?
Answer:
x = 88 -5y/2
Step-by-step explanation:
(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x
x = 180 - x - 4 -5y
x = 176 - x -5y
2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)
Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm
Answer:
210 cm sq
Step-by-step explanation:
Area of a triangle is 1/2bh.
12 cm and 35 cm would be both sides of the triangle, not 37 cm because it is the hypotenuse (largest side).
1/2*12*35=210 cm sq
[tex] { \alpha }^{2} \beta + \alpha { \beta }^{2} [/tex]
Please solve this
Systems of equations by graphing
What would y = for this system?
Answer:
y = 0
Step-by-step explanation:
The intersection point of the system lies on the x-axisWe the y-value of the x-axis is 0y = 0I NEED HELP RIGHT NOWW
what is the y intercept of this line
Answer:
(0,21)
Step-by-step explanation:
when you want to find the x intercept make y=0
to find the y intercept make x=0
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
mm
4
M
3
mm
|*
mm
3
mm
Last one for today thank youu
Hope this helps Youuuuuuuu
Write an equation in slope-intercept form for the line that passes through (6,6) and is
perpendicular to the line described
Answer:
Step-by-step explanation:
Solution :
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = 2/3 x -2
So : product for two slopes = -1 means : m×2/3=-1
m = -3/2
now : y = -3/2 x+b
but this line :
through the point (6,6) : 6 =(-3/2)(6)+b....... b=15
conclusion :
the equation is : y = -3/2x +15
complete the proof, word bank at bottom
Answer:
Step-by-step explanation:
2) definition of angle bisector
4) division property of equality
5) division property of equality
6) substitution property
7) SAS similarity
An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?
A.
4 : 9
B.
8 : 27
C.
9 : 4
D.
27 : 8
75% of 1250
find the value
Answer:
937.5
Step-by-step explanation:
Given:
75% of 1250
Note:
Of = Multiply
Solve:
75% × 1250
= 937.5
~Lenvy~
Answer:
937.5
Step-by-step explanation:
We Know That 75% Is Same As 75
100
So, You Start By Dividing That, Or Making The Calculation Together, You Say
[tex] \frac{75}{100} \times \frac{1250}1[/tex]
[tex]0.75 \times 1250[/tex]
[tex] = 937.5[/tex]
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If Sofie uses only the completed surveys, what conclusion could she make about the percent of all high school students who use social media while doing schoolwork?
2.Tony decides to use observation. He visits 10 students and observes them doing schoolwork at home for 30 min. If a student looks at social media during that time, he notes it.
(a) Provide an advantage of using observation.
(b) Provide a disadvantage of using observation.
(c) What are the sample and population for Tony’s research?
(d) Suppose 3 of the 10 students looked at social media during the observation. What conclusion could Tony make about the percent of high school students who use social media while doing schoolwork?
Much thanks and appreciation!
Answer:
1. A. how much of the students time is spent on social media during school hours.
B. By using some kind of selection technique Like Having students draw number from a hat, who ever have the specific numbers will take her survey.
C. The population for Sofies research would be a rate of 5/2. For every 5 people who take the survey only 2 turned it in.
D. She would conclude that 1 out of every 2 or 50 percent of students use social media while doing school work.
2. a) It helps to get accurate data or records of the information he wants to process and also is a direct way of carrying out analysis.
b) The students definitely might get distracted in the process of his observation and there fore render the data collection not as accurate as it will be for analysis.
c) The sample are the 10 students
The population are high school students
d) Tony 's conclusion will be 3 out of 10 looked at social media
thus 3/10 * 100 = 30 %
Step-by-step explanation:
Giving Brainliest
A spy realizes his cover is blown and flees toward his secret evacuation spot at a speed of 60 mph. Two hours later, a special agent in a helicopter starts chasing the spy. The special agent travels the same route at a speed of 90 mph.
A What distance does the spy cover in t hours?
B What distance does the special agent cover in t hours?
C How fast is the distance between them reducing
D How far apart are the spy and special agent when the chase begins?
E How long does it take the special agent to catch the spy?
F At what speed should the special agent chase the spy if the evacuation spot is 240 miles from the setting point
The spy will cover a distance of 60t in t hours and the special agent will cover a distance of 90t in t hours.
What is distance?Distance is actually known as the amount of space between two points. When calculating speed, it is given as:
Speed = distance ÷ time
The spy's distance in t hours:
Distance = 60 × t = 60t.
The special agent's distance in t hours:
Distance = 90 × t = 90t
The distance between them will be =
Distance of special agent minus distance of the spy: 90t - 60t = 30t.
By the time the chase begins, the distance between the spy and special agent will be:
(2 × 60mph) - 0 = 120m - 0.
= 120m.
Time taken for the special agent to catch the spy: 120 + 60t = 90t
120 = 90t - 60t
120 = 30t
t = 120/30 = 4 hours.
Speed the special agent should chase the spy:
Distance = 240 miles
Time = 4 hours.
Then Speed = 240/4 = 60mph.
Learn more about speed on https://brainly.com/question/4931057
A zoo measured the height, in feet, of 9 giraffes.
18, 16, 22, 14, 17, 19, 15, 19, 22
What is the median height of the giraffes?
16 ft
17 ft
18 ft
19 ft
Answer:
19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.
so,median=9ft
Use the data below.
22, 16, 18, 14, 16, 34, 20
Mean:
Median:
Mode:
Range:
Step-by-step explanation:
mean = sum of all data points / number of data points
(22+16+18+14+16+34+20)/7 = 140/7 = 20
median is the number, where half of the data points are smaller, and the other half are larger.
first we need to sort the data points
14, 16, 16, 18, 20, 22, 34
median = 18
mode is the data point occurring most often.
mode = 16 (occurring 2 times, while the others occur only once).
range is the difference between the largest and the smallest data point.
range = 34 - 14 = 20
find the missing side length please!
Answer:
20.25
Step-by-step explanation:
The area of a rectangle is calculated by multiplying its width and length:
The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5
9/(4.5) = 2
The given rectangles are similar so their side lengths must be proportional
(4.5)/x = 2/9 cross multiply expressions
2x = 40.5 divide both sides by 2
x = 20.25
If a1= 7 and an = -4an-1 + n then find the value of a5
Answer:
a₅ = 1701
Step-by-step explanation:
[tex]a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\[/tex]
= -4*7 + 2
= -28 + 2
= -26
a₃ = -4a₂ + 3
= -4*(-26) + 3
= 104 + 3
= 107
a₄ = -4a₃ + 4
= -4*107 + 4
= -428 + 4
= -424
a₅ = -4a₄ + 5
= -4*(-424) + 5
= 1696 + 5
= 1701
Jack drives to his grandmother’s house at a constant rate of 65 miles per hour. If he can get to her house in 2 hours, how far does he live from his grandmother?
O:63
O:67
O:130
O:195
Answer:
130
Step-by-step explanation:
just multiply 65 by 2 and you get 130
Help! How do I fill out the box at the top of the page? This isn't making sense (I'm in 7th)
Answer:
x= 4
y= 9
so in that case (x,y) would be (4,9)
then you go down to the x axis and go to 4.
then you go up 9 and that is your first point
same thing for the rest of them so it would be (6,3)
(1,3)
(8,7)
(8,9)
What is the area of this figure?
Answer:
234 mm^2
Step-by-step explanation:
These questions are tricky but to make them easier, try to break down the shape into smaller regular shapes and work them out.
I would divide this shape into 2 rectangles and one triangle
Area of small bottom rectangle: 4 x 11 = 44mm^2
Area of rectangle in the middle: 14 x 8 = 112mm^2
Area of triangle: 12 x 13/2 = 78mm^2
Add all the areas together = 44+112+78 = 234mm^2
algebric expression 2f + 14 3 + 7f - 10 5.
•••••••••••••••••••••••••••••••••••••••••••••••••••
2f + 14 3 + 7f - 10 5.
Simplify:
[tex] = (9f + 38)[/tex]
•••••••••••••••••••••••••••••••••••••••••••••••••••
#Carry on Learning
Answer please!!!
Best answer gets brainliest!!!
Answer:
B. 6
Step-by-step explanation:
So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6
What is the measure of x? Please help asap!
[tex]4x + x = 180[/tex]
[tex]5x = 180[/tex]
[tex]x = \frac{180}{5} = 36[/tex]
Answer:
36
Step-by-step explanation:
This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.
x + 4x = 180
5x = 180
180/5 = 36
If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.
Using digits, what time is represented by quarter to eleven?
Answer:
10:45
Step-by-step explanation:
Answer:
10:45 :)
Step-by-step explanation:
Roman purchased 2 1/2 pounds of chocolate covered peanuts for $9.75 what was the price per pound?
Answer:
$3.90
Step-by-step explanation:
2 1/2 pounds = 2.5 pounds
To determine the price per pound, divide $9.75 by 2.5:
[tex]\sf \dfrac{9.75}{2.5}=3.9[/tex]
Therefore, the price per pound was $3.90
I need help, please? I am just really confused about this.
Answer:
blank space 1: 120
blank space 2: 85
Step-by-step explanation:
you subtract 35 from it
what is the value of x
Hey there!
Assuming #1 ….
x + 7x + x = 180°
REWORD
1x + 7x + 1x = 180°
COMBINE the LIKE TERMS
(1x + 7x + 1x) = 180°
8x + 1x = 180°
9x = 180°
DIVIDE 9 to BOTH SIDES
9x/9 = 180/9
CANCEL out: 9/9 because it equal 1
KEEP: 180/9 because it give you the x-value
NEW EQUATION: x = 180/9
SIMPLIFY IT!
x = 20
||||~~||||~~||||~~||||~~~||||~~||||~~||||~~||||~~~||||
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;
[tex]{:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf 9x^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}[/tex]
This is the required answer
pls what is the awer
10/75=13.333333334 so around 66 people
you can also just divide 500 by 75 then take it times 10 :)
The work shows the long division of 647 ÷ 3.
Find the values of a and b in the long division problem.
a =
b =
So, 647 3 = 215 +
I'm assuming ratio of a to b is the remainder of the long division.
Gary wanted to determine the average height of boys at the high school. His older brother is on the basketball team, so he asked him to measure his teammates. After interpreting the results, Gary determined the average height of a high-school-aged boy to be 6 feet, 1 inch. HELP ASAPPPPP
Would you consider these results to be valid?
Yes, because only high-school boys were surveyed.
Yes, because the results were obtained randomly by measuring the boys basketball team.
No, because boys on the basketball team are likely to be taller than the average high school boy.
No, because there are no girls surveyed.
Answer:
The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)