Answer:
For denominator the number of digits after the decimal are counted to find the multiple of 10s.
The numerator is the decimal number digits with the decimal removed.
Step-by-step explanation:
The given number of the decimal is used as the numerator and the denominator of the decimal always has to be 10 or a multiple of 10 depending on the position of the decimal point.
For example if we have a number 4.3
The numerator will be 43( the decimal is removed) and the denominator will be 10 because in the original decimal number 4.3 the decimal was before only 1 number that is 3.
Now take the example of 4.36
The numerator will be 436 ( the decimal is removed) and the denominator will be 100 ( 10 *10 = 100) because in the original decimal number 4.3 the decimal was before 2 number that is 3 and 6.
so the fraction will be 436/100
Now if we divide 436 by 100 we will get the same answer as the original number
100√436 4.36
400
360
300
600
600
xxx
The same process is applied to bigger numbers such as 4.365 and so on.
If we have a number 43.6 the numerator will be 436 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 43.6 the decimal was before 1 number that is 6.
so the fraction will be 436/10
If we have a number 436.5 the numerator will be 4365 ( the decimal is removed) and the denominator will be 10 because in the original decimal number 436.5 the decimal was before 1 number that is 5.
so the fraction will be 4365/10
For denominator the number of digits after the decimal are counted to find the multiple of 10s.
The numerator is the decimal number digits with the decimal removed.
Halfway through the third quarter, how much of the game is left?
Write the answer as a proper fraction,
Jeremiah spent $68 for concert tickets. He bought one adult ticket for $18 and several children's tickets for $10 each. Which number line represents the number of children's tickets Jeremiah bought?
What the answer. ? Please no links
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet
Puteti sa ma ajutati va rog
Answer:
I read the title wrong, please remove my answer
Step-by-step explanation:
The sum of three consecutive integers is -27 what is the product of the smallest and largest of the three integers?
Answer:
80
Step-by-step explanation:
A water pipe has a flow of 2 gallons per minute how many 2 qt could fill it in 1/2 hour?
Answer:
60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120
Step-by-step explanation:
Hope this helps!
Convert 5 1/6 to a decimal through long division.
Answer:5.83
Step-by-step explanation:
Please help! Thank you!
Answer:
X=sigma xi/no of observation
5= (?) /4
5*4=sum of all numbers
20=sum of all the observation
If you are helped by this answer pls tag me brianliest I really want it
THANK YOU.......
Can someone help me solve this
Answer:
BC=15.01
Step-by-step explanation:
tan(65) = x/7
x = 7 x tan(65)
x = 15.01
PLEASE HELP AND EXPLAIN HOW TO DO THIS
Find Sn for the given geometric series.
1=0.11, 5=895.956875, =9.5
Answer:
1001.35
Step-by-step explanation:
Assuming
n
=
5
for which sum to be found.
We know sum of geometric series up to
n
th term is
S
n
=
a
1
⋅
r
n
−
1
r
−
1
Here
a
1
=
0.11
,
r
=
9.5
,
n
=
5
∴
S
5
=
a
1
⋅
r
5
−
1
r
−
1
=
0.11
⋅
9.5
5
−
1
9.5
−
1
≈
1001.35
[Ans]
Imagine that you would like to purchase a $275,000 home. Using 20% as
a down payment (or $55,000), determine the monthly mortgage payment
for your dream home using the loan terms below. Hint: Read the Loan
Calculator tip at right for a tool that will help you make the calculations.
A. 15-year mortgage term with a 3% interest rate
Total Amount Paid Over Loan Term
Minimum Monthly Payment:
B. 20-year mortgage term with a 6% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
C. 30-year mortgage term with a 5% interest rate
Total Amount Paid Over Loan Term:
Minimum Monthly Payment:
Which mortgage would you choose and why?
Answer:
The mortgage chosen is option A;
15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470
Step-by-step explanation:
The details of the home purchase are;
The price of the home = $275,000
The mode of purchase of the home = Mortgage
The percentage of the loan amount payed as down payment = 20%
The amount used as down payment for the loan = $55,000
The principal of the mortgage borrowed, P = The price of the house - The down payment
∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000
The principal of the mortgage, P = $220,000
The formula for the total amount paid which is the cost of the loan is given as follows;
[tex]Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n - \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }[/tex]
The formula for monthly payment on a mortgage, 'M', is given as follows;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
A. When the mortgage term, t = 15-years,
The interest rate, r = 3%
The number of months over which the loan is payed, n = 12·t
∴ n = 12 months/year × 15 years = 180 months
n = 180 months
The monthly payment, 'M', is given as follows;
M =
The total amount paid over the loan term = Cost of the mortgage
Therefore, we have;
220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)
[tex]M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1} \approx 1,519.28[/tex]
The minimum monthly payment for the loan, M ≈ $1,519.28
The total amount paid over loan term, A = n × M
∴ A ≈ 180 × $1,519.28 = $273,470
The total amount paid over loan term, A ≈ $270,470
B. When t = 20 year and r = 6%, we have;
n = 12 × 20 = 240
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1} \approx 1,576.15[/tex]
The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276
The monthly payment, M = $1,576.15
C. When t = 30 year and r = 5%, we have;
n = 12 × 30 = 360
[tex]\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1} \approx 1,181.01[/tex]
The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163
The monthly payment, M ≈ $1,181.01
The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability
Therefore;
The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;
The total amount paid over the loan term = $270,470
what is (-10,10) if i dilate it by 1/2
two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at 40 miles per hr. How many seconds after the front parts of the trains will meet their rear parts pass each other.
9514 1404 393
Answer:
5 seconds
Step-by-step explanation:
Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...
time = distance/speed
time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s
That is, the rear part of each train will be at point A 5 seconds after the front part.
The rear parts will pass each other 5 seconds after the front parts meet.
Help!!! I do not seem to understand this problem well.
Step-by-step explanation:
weeks. days. (wk,d)
2. 14. (2,14)
4. 28. (4,28)
6. 42. (6,42)
8. 56. (8,56)
Help please, not sure how to do this...
Answer:
8.38
Step-by-step explanation:
The underlined number is in the hundredths place, so that means that we're going to round there. That means that you look at the number to its right and if it's lower than 5, it stays the same. However, if it's 5 or higher, you round it up. For example, if the number was 8.386, we would round it to 8.39.
A line graph titled Video Rental Stores has year on the x-axis and stores (thousands) on the y-axis. In 2009, there were 4,000 stores.
The line graph shows the number of video rental stores for the years 2005 through 2012.
There were stores in 2009.
Answer:
its 4,000
Step-by-step explanation:
Alyssa's mother was sick. Alyssa, went to the store and bought 2/10 pound of medicine, then another 1/10 of medicine. What would the answer be when you add them together? Denominator stays the same.
Add the two functions.
f(x) = 3x3 + 7x − 26
g(x) = x + 2
Answer:
1. F ( x ) = 3/4x^4 + 7/2x^21 - 26x + C
2. G ( x ) = 1/2X^2 + 2x + C
given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?
Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}
s= p+3
(number of sports drinks= s)
(pizza slices= p)
Lines a and b are parallel. The slope of line b is 1/3 . What is the slope of line a?
Answer:
1/3
Step-by-step explanation:
please help HEYMLMUM
Answer:
A.
Step-by-step explanation:
The height of a cylinder is 8 centimeters. The circumference of the base of the cylinder is 20π centimeters. Which measurement is closest to the volume of the cylinder in cubic centimeters?
Answer: [tex]2514.28\ cm^3[/tex]
Step-by-step explanation:
Given
The height of the cylinder is [tex]h=8\ cm[/tex]
Circumference of the base is [tex]20\pi \ cm[/tex]
suppose 'r' is the radius of the cylinder
[tex]\Rightarrow 2\pi r=20\pi\\\Rightarrow r=10\ cm[/tex]
The volume of a cylinder is [tex]V=\pi r^2h[/tex]
[tex]\Rightarrow V=\pi \times 10^2\times 8=2514.28\ cm^3[/tex]
Need help What is 6/10 in simplest form
Answer:
3/5
Step-by-step explanation:
35.
Step-by-step explanation:
The simplest form of 610 is 35.
Linear or Non Linear
The cost to ride in a taxi that initially charges $4 plus $0.25 per half mile
in
2. Susan is divorced and has one child that she pays for. She will file her taxes as a head of
household for federal income tax and single for state tax purposes. Susan's gross income is
$48,500. Susan lives in Louisiana
Answer:
what si the questions
Step-by-step explanation:
The radius of a circle is 7 miles. What is the circle's area?
Use 3.14 for .
Answer:
A≈153.94mi²
Step-by-step explanation:
A = πr2 = π · 72 ≈ 153.93804mi²
Please help help me please ASAP I am begging someone please
No links or files
Answer:
1. b
2. e
3. a
4. f
5. g
Step-by-step explanation:
hope this helps
HELP mE need math help 20 points no links or imma report HeLP mE
Answer:
A - is the best answer...
What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
