A woman borrows ​$ 6,000 at 12​% compounded​ monthly, which is to be amortized over 3 years in equal monthly payments. For tax​ purposes, she needs to know the amount of interest paid during each year of the loan. Find the interest paid during the first​ year, the second​ year, and the third year of the loan. ​[Hint: Find the unpaid balance after 12 payments and after 24​ payments.]

There are 175 cubic unit initially in the tank

The table of values is given as:

Time (minutes)     Amount of Water

1                              150

3                             100

6                             25

Calculate the slope (m) of the table using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (100 - 150)/(3 -1)

Evaluate

m = -25

This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit

When x = 1, y = 150

So, we have:

x = 1 - 1 when y = 150 - (-25)

This gives

x = 0 when y = 175

Hence, there are 175 cubic unit initially in the tank

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Answer:

Step-by-step explanation:

Given,

Base of the parallelogram = 11 yd

Height of the parallelogram = 6 yd

Therefore,

Area of the parallelogram = base × height

= 11 yd × 6 yd

[tex] = 66 {yd}^{2} [/tex]

Hence,

Area of the parallelogram is 66 sq. yd

Answer:

A

Step-by-step explanation:

I don't know to explain it so this is by khan academy

If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.

Answer:

1/2

Step-by-step explanation:

35+50+15 = 100

probability of the dance song = 50/100 = 1/2

Answer:50%

Step-by-step explanation:

35+15+50=100

50 divided by 100 is 0.5 or you can do it as a fraction and get 50/100

Answer:

4

Step-by-step explanation:

four Point perspective

Answer:

one point perspective

Step-by-step explanation:

It is one point perspective because if you are thinking about birds eye view, you have to consider that they height a bird can fly is very very high. So you have to be thinking critically, it cannot be 4 point perspective nor 3 point perspective due to the fact, that that is worm eye view. Thus, the answer it leaves you with is 1 point view and 2 point perspective. Two point perspective is us, it would be like us watching a building (which isn't that high). Hence, the last answer you are left with is one point perspective.

For reference you can look at the picture:

Hope this helps! :))

Answer:

95%

Step-by-step explanation:

Just answer it

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

Answer:

24 ft²

Step-by-step explanation:

1/2x12x4=24 ft²

Answer:

area equals 36 and 3 fourths because if you cut the triangle off of one of the sides and add it to the other side it makes a rectangle then you do length times width to find regular area of a rectangle.

Answer:Interquartile Range (IQR) ... IQR: Step 1: Put the data in order from least to greatest. ... If the number of data points is even, the median is the average of the middle two data points. ... The first quartile is the median of the data points to the left of the median in the ... Is it possible for the IQR to be less than the given data points?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

P(for) = 5/8

P(against) = 3/10

P(undecided)= 3/40

Step-by-step explanation: Again, find the total number of people Devi surveyed.

40 people got surveyed in total. So P(for) means to find how many people wanted to vote for the mayor. In the table, it says 25 voted for the current mayor. So 25/40. Then we can simplify it to 5/8.

Then find how many people voted against her. 12 people voted against her. 12/40 is 3/10.

Finally, find how many people were indecisive. 3 people were indecisive. 3/40. We cannot simplify it, so leave it like that. Hope this helps.

Formula for sine: Opposite/Hypotenuse

Answer:

Step-by-step explanation:

actual rate of return that will be earned in one year if the interest is compounded.

Answer:

A. 300in^2

Step-by-step explanation:

Area=LWH

15*10*2=300

Answer:

1. $670

2.$920

3.$1500

4.$2100

Step-by-step explanation:

Hope it was fast enough & helpful .

Good luck ^^

Answer:

150.80 sq ft

Step-by-step explanation:

Area of a cylinder = area of circle x length

r = 8/2 = 4

[tex]4^{2}[/tex]π x 3 = 48π = 150.7964474

Answer:

37.68ft³

Step-by-step explanation:

So the formula for the volume of a cylinder is base x height our height is 3 but we have to find the area of the base:

the formula is: radius² x 3.14 (pi)

so we find the radius by dividing the diameter by 2: 8 ÷ 2 = 4

4 x 3.14 = 12.56

So the area of the base is 12.56ft²

now we plug that into our equation:

12.56 x 3 = 37.68

So the volume of the cylinder is 37.68ft³

hope this helps:)

Answer:

try b

Step-by-step explanation:

Answer:

92.091

Step-by-step explanation:

81+10=91

.296

+

.795

_____

1.091

So: 91+1.095=92.091

Answer:

5. Every 25th student who enters the school than morning

6. It is neither likely or unlikely that it will rain tomorrow

Step-by-step explanation:

5. A random systematic sample of every 25th student will present the least bias

6. 0.48 is close to 0.5, which means there is almost an even chance that it will or will not rain

Step-by-step explanation:

[tex]4x + 2 = 22 \\ 4x = 20 \\ x = 5[/tex]

Answer:

18

Step-by-step explanation:

Using PEMDAS, first you do the parenthesis which the value would be 9. Then you divide: 9/ 3= 3. Lastly,  you add 7+3+8=18.

The product will be 18.

Hope this helps! :)

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

Answer:

47.12

Step-by-step explanation:

same as the last question

Answer:

$63.89

Step-by-step explanation:

just multiply 59.99 by 1.065

Answer: A

Step-by-step explanation: Because you multiple 5m by 1/12?

If the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

Numerical measure of a line's inclination relative to the horizontal. The slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.

i.e. Slope  [tex]m = \frac{\text{rise}}{\text{Length}}= \frac{H}{L}[/tex]

We have,

The ramp has a slope of  [tex]\frac{1}{12}[/tex],

Horizontal length of [tex]5m[/tex]

Height of ramp [tex]=x[/tex]

So,

Slope [tex]=\frac{H}{L} = \frac{1}{12}[/tex]

        [tex]\frac{H}{5} =\frac{1}{12}[/tex]

      [tex]H=\frac{5}{12}[/tex]

       [tex]H=0.4 \ m[/tex]

So, the Height of the ramp is [tex]0.4 \ m[/tex] .

Hence, we can say that if the ramp has a slope of  [tex]\frac{1}{12}[/tex]  and has a horizontal length of [tex]5m[/tex] then its height to the nearest tenth of a meter will be  [tex]0.4 \ m[/tex] .

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Answer: The value of x from the equation is 64 ft. Thus, they will be needing approximately 64 ft of rope.

Step-by-step explanation: The concept that is useful in order to answer this item is the concept of ratio and proportion. Let x be the height of the rock from the ground. We use the equation below to answer.

                                   5.5 ft / 18 ft = x ft / 209.5 ft