a. I will payoff about $243 and 67 cents each month.
b. I will pay a total interest of 39.24%.
How do credit card payoffs work?
They work on the principle of compound interest.
After one year, I have to pay $(4200*18)/100 =$756 extra
which means my principle amount for second year will be 4200+756=4956$
After second year, I have to pay $(4956*18)/100=$892.08 extra
Total payoff at the end of second year=$4200+$756+$892.08=$5848.08
Therefore, each month I need to pay (5848.08/24)=$243.67
To calculate the interest:
Interest= (Total amount payoff - initial balance)*100/initial balance
=(5848.08-4200)*100/4200
=39.24%
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Assume that y varies inversely as x. If, y, is 2.4 when x = 5, which is an equation that relates x and y?
What are the coordinates of point A?
1.(5,2,0)
2.(5,0,2)
3.(0,2,5)
4.(2,0,5)
The coordinates of point A are (2, 0, 5).
Then the correct option is the fourth one.
How to get the coordinates of point A?The general notation for a point on 3 dimensions is (x, y, z).
First, notice that the vertical axis is the Z-axis, the axis that points towards us is the x-axis, the axis that points to the right is the y-axis.
First, we can see that the x-value of A is x = 2.
The z-value of A is z = 5.
And A lies on the plane x_z, then the y-value is y = 0.
Then the coordinates of point A are (2, 0, 5).
So the correct option is 4.
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There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from
the basket, what is the probability they will all be green apples?
Answer: 1/7
Step-by-step explanation: 12/22 • 11/21 • 10/20
The probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
As we know,
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
There are 10 red apples and 12 green apples in a basket. If Vinta randomly selects 3 apples from the basket.
Total outcomes = number of ways of selecting fruits in the basket
Total fruits = 10 + 12 = 22
Total number of outcomes = C(22, 3) = 1540
Total number of favourable outcomes = C(12, 3) = 220
Probability = 220/1540
Probability = 0.142
Thus, the probability they will all be green apples is 0.142 if there are 10 red apples and 12 green apples in a basket.
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....................
Answer:
11
Step-by-step explanation:
What are the two offices underneath the jurisdiction of the executive office
In government
Answer:
National Security Council and Office of Policy Development are two of the offices underneath the jurisdiction of the executive office.
Step-by-step explanation:
Hope this helped!!!
Determine another point on the line given two points on the line. (-2, 9), (2, -1)
Answer:
(4,-6)
Step-by-step explanation:
1) First, let's find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the x and y values of (-2,9) and (2,-1) into it, then solve:
[tex]m = \frac{(-1)-(9)}{(2)-(-2)}\\m = \frac{-1-9}{2+2} \\m =\frac{-10}{4} \\m = -\frac{5}{2}[/tex]
So, the slope of the line is [tex]-\frac{5}{2}[/tex].
2) Now, using that slope, let's find another point on the line. You can do this by drawing the two points on a graph (picture below). Now, remember that the slope is [tex]\frac{rise}{run}[/tex]. So, starting from any of the two points (I chose (2,-1), as seen below) count 5 units down, then 2 units to the right. This gives an answer, (4,-6).
someone please answer this!!
Answer:
4m is the answer.
Step-by-step explanation:
a = 3m
b = ?
c = 5m
According to the Pythagoras theorem,
a² + b² = c²
3² + b² = 5²
9 + b² = 25
b² = 25 - 9
b² = 16
b = 4m
∴ The distance between the ladder and the bottom of the slide is 4m.
What number is ten more than 100? Write an equation.
Answer:
10+100=110
Step-by-step explanation:
easy as pie
Answer:
110?
Step-by-step explanation:
If its 10 more (more being addition) than 100 then it should be 110
NEED HELP PLEASE ASAP! BRAINLIEST TO RIGHT ANSWER! Two similar rectangles have areas of 6 in.2 and 24 in.2. What is the scale factor of the smaller rectangle to the larger rectangle?
A. 2 : 1
B. 4 : 1
C. 6 : 1
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠TSQ and ∠UVX
Step-by-step explanation:
Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top edge of all the walls. How much will she spend?
Answer:
$124.95Step-by-step explanation:
The length of the strip is equal to perimeter of the kitchen.
P = 2(4.2 + 6.3) = 21 mCost of the strip is:
21*$5.95 = $124.95original price $125 discount ? sale price $81.25
Answer:(125-81.25)/125 = 0.35 = 35%
Step-by-step explanation:
Can a triangle be made using the side lengths of 8, 2, 10?
a
Yes.
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measure is equal to the longest side.
Answer:
c
Step-by-step explanation:
I'm not completely sure if this is right, but i hope it is :/
what is the simplified form of 48\192?
[tex] \sqrt[?]{?} [/tex]
Which is the graph of f(x)=4(1/2)x
Answer:
here's the graph
Step-by-step explanation:
Identify the Texas Governor who resigned his office in order to lead Texas Troops in the U.S. vs Mexican War.
Answer:
Sam Houston
Sam Houston, c. 1850
7th Governor of Texas
In office December 21, 1859 – March 15, 1861
Lieutenant Edward Clark
Step-by-step explanation:
Question 11(Multiple Choice Worth 1 points)
(08.06 MC)
The following data shows the weight, in pounds, of 5 boxes:
3, 1, 2, 2, 2
What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?
(A.) 0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds
(B.) 0.8 pound; on average, the weight of a box varies 0.8 pounds from the mean of 2 pounds
(C.) 0.4 pound; the weight of 50% of the boxes is greater than 0.4 pound
(D.) 0.8 pound; the weight of 50% of the boxes is greater than 0.8 pound
Answer:
c is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
First put the numbers from least to greatest: 1, 2, 2, 2, 3 2 is the mean.
Then you determine the distance each data value is from the mean.
1, 2, 2, 2, 3
1, 0, 0, 0, 1
Calculate the mean of the distances: 1 + 0 + 0 + 0 + 1 = 2
Then divide: 2 divided by 5 = 0.4
So your answer is 0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds
Simplify each expression using the Order of Operations.
8-6 divided by 2+3 X 5
Answer:
8 - 6 ÷ 2 + 3 × 5
8 - 3 + 15
5 + 15
20
If you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side. How many cubic meters of oil is this? Do you think this would be enough to fill a pond, a lake, or an ocean?
Answer:
The cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.
Step-by-step explanation:
Since if you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side, to determine how many cubic meters of oil is this and to determine if this would be enough to fill a pond, a lake, or an ocean, the following calculations must be performed, knowing that the volume of a cube is equal to the length of one of its sides cubed:
103 ^ 3 = X
103 x 103 x 103 = X
10,609 x 103 = X
1,092,727 = X
Therefore, the cube contains 1,092,727 cubic meters of oil, which could fill almost all the world's oceans, since they have approximately 1.3 million cubic meters of water.
Use the slope formula to find the slope of the line through the points (−1,−2) and (9,−10)
Answer:
-4/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-10-(-2))/(9-(-1))
m=(-10+2)/(9+1)
m=-8/10
simplify
m=-4/5
What kind of shape is this?
A. Pentagon
B. Quadrilateral
C. Triangle
D. Hexagon
Andy's age is 67, which is 17 less than 12 times bills age. What is bills age?
Bill is about 49 years old.
Answer:
7
Step-by-step explanation:
67 + 17 = 84
84/12 = 7
What is the scale factor of the dilation shown?
Answer:
A) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
What is the area of the shaded segment shown? Round your answer to the nearest tenth please help me solve this
Answer:
0.3 in²
Step-by-step explanation:
This picture is NOT to scale. That 20° Angle looks more like 70°.
Area of the circle = 81pi = 254.469
20/360 of the circle = 1/18 = 14.137
Area of triangle = 13.851
14.137-13.851= 0.3 in²
What is the probability of randomly choosing a white marble from a bag of
12 red, 12 white, 12 blue and 12 green marbles?
1/2
1/3
O 1/4
1/8
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
viola!
hope this helped!
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
hope this helped!
If f(x) = –3x – 2, what is f(–5)?
Answer:
f(-5) = 13
Step-by-step explanation:
Substitute x with -5
f(-5) = -3 (-5) - 2
=> 15 - 2
=> 13
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
write a letter to your friend telling her how you are coping in your new senior school
Answer:
?
Step-by-step explanation:
help please and explain (no links and random answers for points)
Answer:
No 2 answer is 6\8 i.e 3\4 for the one eaten and 2\8 i.e 1\4 for the left over
please help meeeeeeeewwewe
A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?
A.The probability of a temperature from 30 degrees to 120 degrees
B.The probability of a temperature from 90 degrees to 180 degrees
C.The probability of a temperature from 30 degrees to 90 degrees
D.The probability of a temperature from 90 degrees to 120 degrees
Answer: 90 degrees to 120
Step-by-step explanation:
The probability of a temperature from 90 degrees to 120 degrees.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
Temperatures from 60 degrees to 160 degrees.
As, per the situation the probability will lie between 60 degree to 160 degree.
Hence, The probability of a temperature from 90 degrees to 120 degrees.
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