Given:
Principal = 280,000
Rate of interest = 12% per annum.
Time period is from April 1 to December 31.
To find:
The interest recognized for the period from April 1 to December 31.
Solution:
Time period from April 1 to December 31 is 9 months.
12 months = 1 year
1 month = [tex]\dfrac{1}{12}[/tex] year
9 month = [tex]9\times \dfrac{1}{12}[/tex] year
So,
[tex]Time=9\times \dfrac{1}{12}[/tex]
[tex]Time=\dfrac{9}{12}[/tex]
[tex]Time=0.75[/tex]
Formula for interest is
[tex]I=P\times r\times t[/tex]
where, P is principal, r is rate of interest and t is time.
[tex]I=280,000\times \dfrac{12}{100}\times 0.75[/tex]
[tex]I=25200[/tex]
Therefore, the the interest is 25,200.
1-gallon can of paint for $13.99
Find the unit rate
Answer:
$1.75 per pint
Step-by-step explanation:
1 gallon has 8 pints
divide 13.99 by 8
i need help please ASAP i have to finished this today please help
Answer:
Step-by-step explanation:
i think you have to divide
Please help I’ll mark Brainliest
Answer:
?
Step-by-step explanation:
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in the lake. (If you get stuck, consider drawing a diagram.) What is the population this year? Group of answer choices 15 fish 75 fish 45 fish 80 fish
Answer: 45
Step-by-step explanation:
Set up a number line with 1 60 and 100. To get from 100 to 1 you divide by 100 so you also do that to 60 then to get 1 to 75 multiply by 75 same with 0.6 which will be 45
Answer:
45 your welcome <3.
Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (10,0) and the adjacent flagpole onto the other short rectangular bench and flagpole
Answer:
The answer is below
Step-by-step explanation:
Describe a rigid motion or composition of rigid motions that maps the rectangular bench at (0,10) and the adjacent flagpole onto the other short rectangular bench and flagpole
Solution:
The other short rectangular bench is at (0, -10), while the short flagpole at (2, 10)
Transformation is the movement of a point from its initial location to a new location. If an object is transformed then all its points are also transformed. Types of transformation are reflection, dilation, rotation and translation.
If a point X(x, y) is reflected across the x axis, the new point is (x, -y)
If a point X(x, y) is reflected across the y axis, the new point is (-x, y)
Therefore the rectangular bench at (0,10) is reflected across the x axis to give the other short rectangular bench at (0, -10) while the adjacent flagpole at (-2,10) is reflected across the y axis to give the other flagpole at (2, 10)
help I cant figure it out
Answer:
B. 3 - 5.5 + 1.5
Step-by-step explanation:
Because you start at 0 and then move positive 3 on the number line negative 5.5 and then positive 1.5 again.
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Movie Mania requires customers to pay a sign-up fee of $20, and charges $4.00 to rent a DVD. Hurricane Video is free to join, but DVDs cost $6.00 to rent. Write and solve an equation to find the number of DVDs you would have to rent in order for both stores to charge the same. Explain what your variable represents. A. Let n = the cost of renting a movie; 20n + 4 = 6; 40 videos B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos C. Let n = the cost of renting a movie; 20n + 4 = 6; 2 videos D. Let n = the number of DVDs rented; 20 + 4n = 6n; 40 videos
Answer:
B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos
Step-by-step explanation:
Let n = number of DVDs to rent
Movie Mania = 20 + 4n
Hurricane = 6n
Equate the cost of renting a DVD in both stores
Movie Mania = Hurricane
20 + 4n = 6n
20 = 6n - 4n
20 = 2n
Divide both sides by 2
n = 20 / 2
= 10
n = 10
The correct answer is
B. Let n = the number of DVDs rented; 20 + 4n = 6n; 10 videos
convert
-4x-2y=-6
to slope intercept form
Answer:
y=-2x+3
Step-by-step explanation:
-2y=-6+4x
-2y/-2=(4x-6)/-2
y=-2x+3
Answer:
Graph BelowStep-by-step explanation:
Hope this helps! <3
At time x=0, water begins to drip steadily out of a water tank. After 3 hours , there are 6.8 gallons of water in the tank. After 9 hours, 4.4 gallons remain. Write a linear function rule that models the number of gallons of water y left in the tank for any number of hours x. The linear function rule is y = ___
Answer:
[tex]y=-0.4x+8[/tex]
Step-by-step explanation:
Let the Linear Function to represent the drip of water out of the water tank be:
[tex]y=mx+c[/tex]
Where [tex]x[/tex] is the time
[tex]y[/tex] is the number of gallons at that time
[tex]m[/tex] is the rate at which water drips
[tex]c[/tex] is the initial number of gallons of water in the tank
Putting the given values in the above equation:
[tex]6.8 = m\times 3+c ..... (1)[/tex]
[tex]4.4 =m\times 9+c..... (2)[/tex]
Subtracting (1) from (2):
[tex]6m=-2.4\\\Rightarrow m =-0.4[/tex]
Putting in equation (1):
[tex]6.8=-0.4\times 3+c\\\Rightarrow c = 8[/tex]
Therefore, the linear function equation to represent in the situation is:
[tex]y=-0.4x+8[/tex]
A ________________________ plot is used to display and summarize data using quartiles and median.
Group of answer choices
box-and-whisker
timeline
histogram
central tendency
Answer:
its the 1 one apperently
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
Des 20, 40, and 30 form a right triangle?
Answer:
Yes
Step-by-step explanation:
20+40+30=90
Answer:
it does not
Step-by-step explanation:
it's not even enough to be
Both circles have the same center. The circumference of the inner circle is 150.72 feet. What
is the area of the shaded region?
Answer:
Step-by-step explanation:
The circumference = 2 * pi * r = 150.72
Use this fact to find r
2*pi*r = 150.72 Divide by pi
2*r = 150.72 / 3.141
2*r = 47.985 Divide by 2
r = 23.9923
Now that you have the radius of the inner circle, use it to find the area.
Area = pi * r^2
Area = 1808.064
Now we need the radius of the outer circle
r = 23.9923 + 11
r = 34.9923
Find the area of the other circle
Area = pi * 34.9923^2
Area = 3846.032
Finally the area of the shaded region is the area of the large circle - the area of the small circle
Area of the shaded area = 3846.032 - 1808.064
Area of the shaded area = 2037.97 to the nearest hundredth.
You have a summer job mowing lawns. You mow 3 lawns in 5 hours. How long will it
take to mow 9 lawns. Explain your thinking.
Answer:
15 hours
Step-by-step explanation:
2 ways to do this
1- I know that 3 x 3 is 9 hours which will leads to these equations
3 x 3 = 9
5 x 3 = 15
2- Find out how long it takes for one lawn
5/3 = 1.6666...
1.6666.... x 9 =15
I hope Im correct!
Answer:
it would take 15 hours
Step-by-step explanation:
If we know that it would take 5 hours to mow 3 lawns, then we can assume that this ratio will stay the same and multiply this by 3, making it 9 lawns in 15 hours
Michael started a savings account with $300. After 4 weeks, he had $350 dollars and after 9 weeks, he had
$412.50. What is the rate of change of money in his savings account per week?
Answer: 12.5
Step-by-step explanation:
He made 50 dollars in 4 weeks so divide that equally amongst each week you get 12.5
The rate of change of money in his savings account per week is 12.5
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
We have, After 4 weeks, he had $350 dollars and after 9 weeks, he had
$412.50.
So, We can consider it as (4, 350) and (9, 412.5)
So, the rate of change is
=(412.5-350)/ (9-4)
= 62.5
= 12.5
Hence, the rate of change is 12.5.
Learn more about slope here:
https://brainly.com/question/3605446
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Tyler has a piece of paper and is sharing it with Elena, Clare, and Andre. He cuts the paper to create four equal pieces, then hands one piece each to the others and keeps one for himself. What fraction of the original piece of paper does each person have?
1/4 a piece of the original paper.
can someone pleaseee help meee?!
Answer:
y=3x+2
Step-by-step explanation:
find slope w/ point slope formula
A factory is testing its water filters to see how many days they remain effective. A trial of 10 filters shows the effective days of each filter to be 94, 101, 120, 87, 93, 91, 105, 92, 91, and 100. What is the range of effective days of the trial water filters?
Answer: 33
Step-by-step explanation:
From the question, a trial of 10 filters shows the effective days of each filter to be 94, 101, 120, 87, 93, 91, 105, 92, 91, and 100.
The range of effective days of the trial water filters will be the difference between the highest number given and the smallest number given.
Highest number = 120
Lowest number = 87
Range = 120 - 87 = 33
Amy types at an average speed of 38 words per minute. She has already typed 1,450 words of her final paper, which will be more than 4,000 words. Which inequality can be used to solve for x, the number of minutes it will take Amy to finish typing her paper?
Answer:
D. 38x + 1,450 > 4,000
Step-by-step explanation:
A. 38x − 1,450 > 76
B. 38(x + 1,450) > 4,000
C. 38x > 4,000
D. 38x + 1,450 > 4,000
Let
x = number of minutes it will take Amy to finish typing her paper
Amy types at an average speed of 38 words per minute
That is, it will take Amy 38x minutes to type her final paper
She has already typed 1,450 words
Amy wants to type her final paper, which will be more than 4,000 words
That is > 4,000
The inequality is
38x + 1,450 > 4,000
The correct answer is
D. 38x + 1,450 > 4,000
Answer:
D. 38x + 1,450 > 4,000
Step-by-step explanation:
I did the test and I got it correct! :DD
What is the value of m in the equation 4m−5=11?
A) M= -4
B) M= 24
C) M= 4
D) M= 20
Answer:
c
Step-by-step explanation:
4m-5=11
add 5 both sides
4m=16
divide 4 both sides
m=4
Answer:
c
Step-by-step explanation:
4m-5=11
4m=11+5
4m=16
m=16÷4
m=4.
A, B, C, OR D? WILL GIVE BRAINLIST, HURRY!!!
3) Ms. Ramirez has business cards with a design on the card that uses similar parallelograms. Which statement about the parallelograms must be true?
A) They have corresponding angles that are congruent, and the parallelograms are the same shape.
B) They have corresponding sides that are congruent, and the parallelograms are the same shape.
C) They have corresponding angles that are congruent, and the parallelograms are the same size.
D) They have corresponding sides that are congruent, and the parallelograms are the same size.
PLEASE HELP 20 POINTS Graph < 2.
Answer:
Its bottom left
Step-by-step explanation:
Answer:
The top left option
Step-by-step explanation:
This doesn't have a y-value so it will be the point on the x axis.
An easy way to figure questions like this is to use a graphing calculator.
Hope that helps and have a great day!
Bearriz Ruiz is buying new office furniture. It sells for a cash
price of $2,358.60. The down payment is $200.00. What is the
amount financed?
Answer: 2,158.60
Step-by-step explanation:
she will have that left
5/9 - 3/5 - 2/9
please help me with this
Answer: -4/15
Step-by-step explanation:
LCD=45
25/45 - 27/45 - 10/45 = -12/45 simply to -4/15
Consider the linear equation shown here.
y - 4 = 3(3 - 2)
Answer : 4 is the slope
HELP PLS.......................
Answer:
i cant see the picture
Step-by-step explanation:
i soory
Step-by-step explanation:
C is the answer..............................i think
HELP PLEASE!!!! I can’t remember
Answer:
3rd option
Step-by-step explanation:
Answer:
14√5
Step-by-step explanation:
(5,-2) (6,4) and (7,-2) are the vertices of an isosceles triangle.
O True
O False
Answer:
True
Step-by-step explanation:
I cant show you a picture but if you go to desmos you can put in the coordinates and see where they are.
20 points answer & show work please. Question is -x + 6 = 4
What is the gcf of 10 and 50
Answer:
10
Step-by-step explanation:
What is the gcf of 10 and 50
A gas stove that normally sells for 749 is on sale at 30 pursent discount what is the sale price of the gas stove
Answer:
524.30
Step-by-step explanation: