This year (10 years after you first took out the loan), you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $112,681 left to pay on your loan. Your house is now valued at $190,000. Your current situation How much of the original loan have you paid off? (i.E, how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)

Answer:

Paul created 10 three minutes songs and 12 four minutes songs.

Step-by-step explanation:

The song he created on his CD is either 3 minutes long or 4 minutes long.

His CD has 22 songs and is 78 minutes. The number of 3 minutes and 4 minutes song can be calculated below.

Let

a = number of 3 minutes song

b = number of 4 minutes song

number of song = 22

a + b = 22............(i)

3a + 4b = 78.........(ii)

Make a subject of the formula in equation (i)

a = 22 - b

Insert the value of a in equation (ii)

3(22 - b) + 4b = 78

66 - 3b + 4b = 78

b = 78 - 66

b = 12

insert the value of b in equation (i)

a + b = 22

a + 12 = 22

a = 22 - 12

a = 10

Paul created 10 three minutes songs and 12 four minutes songs.

Answer:

y= 4x +5

Step-by-step explanation:

Let's rewrite the equation so that it is in the form of y=mx+c, where m is the gradient and c is the y-intercept.

4x-y=1

y= 4x -1

parallel lines have the same gradients. Thus the gradient of the line is 4.

y=4x+c

To find c, substitute a pair of coordinate.

When x=-2, y= -3,

-3= 4(-2) +c

-3= -8 +c

c= 8 -3

c= 5

Thus, the equation of the line is y= 4x +5.

Answer:

Step-by-step explanation:

The expression 1.01-1.005 gives the amount of money, in thousands of dollars, in Carter's savings account t years after he opens it What does 1.01 represent in this expression? Choose 1 answer Carter opened the savings account I year ago ⓢ Carter's savings account had $1,010 in it when he opened it. The amount of money in Carter's savings account increase by 1% each year.

1.01 ( 1.005 )^t

standard exponential equation is

y = a (b)^x

where a = initial value

comparing the two equations

we get

a = 1.01

so, it means 1.01 means Carters saving account had $ 1010 in it when it opened

Answer:

so what was the answer?

Step-by-step explanation:

Answer:

1.13333333333

1.13

Step-by-step explanation:

1: Gather all the numbers

2: Use a calculator to subtract the numbers

3: Answer is 1.13

Hope this helps.

Answer:

17.2

Step-by-step explanation:

We need to use the law of sines

sin A           sin B

------------ = ----------

a                   b

sin 25           sin 27

------------ = ----------

16                   x

Using cross products

x sin 25 = 16 sin 27

Divide each side by sin 25

x = 16 sin 27 / sin 25

x =17.18772863

Rounding to the nearest tenth

x = 17.2

Answer:

cos θ = 4/5.

tan θ = 3/4.

Step-by-step explanation:

Given sin θ = 3/5, we can find the value for the other side of the right triangle.

Using the Pythagorean formula, we can derive the value of this other leg.

5² = 3² + x²

x = 4.

Since sin θ is O/H, the Hypoteneus is 5 and the Opposite side is 3. The Adjacent side is 4, which will be used when finding cos θ and tan θ.

cos θ= A/H --> cos θ = 4/5.

tan θ= O/A --> tan θ = 3/4.

Answer:

true

Step-by-step explanation:

because you cannot play volley ball if you are not a sport person

Answer:

Step-by-step explanation:

80x^2y=16*5*x^2*y=4^2*x^2*5*y=(4x)^2*5*y

56x^3*y^2=7*8x^3y^2=7*2^3*x^3*y^2=(2*x)^3*7*y^2

81xy^2=9^2y^2x=(9y)^2*x

Answer:

not sure but this info might help you.

Step-by-step explanation:

the diagonal in the rectangle splits it into two right angled triangles, hence the hypotenuse is the diagonal.

once you find the measurement, we all know that a square has all sides equal and the diagonal splits it into 2 equilateral triangles. so, the side of the square =the diagonal's measurement.

Answer: The 5th day

Step-by-step explanation:

Total daily movement :

Upward movement = 8cm

Downward movement = 15mm

Converting the upward movement to millimeters ; 1 centimeter = 10 millimeters

Upward movement = 8 × 10 = 80 millimeters

Daily movement can beodelled using the equation :

Distance = (80mm - 15mm)h

Where h is the number of days

Movement per day = 65mm

To move a distance of 275mm from its starting position:

Number of days = 275mm/ 65mm

Number of days = 4.23

Therefore the snail would have moved 275 millimeters from its starting point on the 5th day

Answer:

Associative property

Answer:

the answer is 4

Step-by-step explanation:

because i did it on desmos that is a graphic calculator

Answer:

m=33

Step-by-step explanation:

To solve this, we need to get the variable, m, by itself. Perform the opposite of what is being done to the equation. Keep in mind everything done to one side, must be done to the other.

5m-3=4m+30

3 is being subtracted from 5m. The opposite of subtraction is addition, so add 3 to both sides.

5m-3+3=4m+30+3

5m=4m+33

4m is being added on to 33. The opposite of addition is subtraction, so subtract 4m from both sides.

5m-4m=4m-4m+33

5m-4m=33

m=33

Answer:

a = 31°

b = 149°

c = 149°

d = 31°

Answer:

see explanation

Step-by-step explanation:

Since there are 3 parallel lines, then

a and 31° are corresponding angles and congruent, thus

a = 31°

b and 31° are same- side interior angles and supplementary, thus

b = 180° - 31° = 149°

c and b are vertical angles and congruent, thus

c = 149°

d and 31° are alternate angles and congruent, thus

d = 31°

a = 31°, b = 149°, c = 149°, d = 31°

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9

V = pi (9)^2 (8)

V =648 pi

Letting pi = 3.14

V = 648(3.14)

V =2034.72

Rounding to the tenths place

V =2034.7 ft^3

If you use the pi button

V = 2035.75204

Rounding to the tenths place

V =2035.8

Answer:

x= −5±√17/4

Step-by-step explanation:

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

Answer:

Step-by-step explanation:

If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.

14 ÷ 2 = 7

2 × 7 = 14

1 × 14 = 14

Answer:21 dvds

Step-by-step explanation:

Set up a proportion in terms of DVDs to weeks and solve.

3/2 = x/14

(2)(x) = (3)(14)

2x = 42

x = 21

Therefore, Katy will buy 21 DVDs in 14 weeks.

brainliest pls?

Answer:

20,45,15

Step-by-step explanation:

a)20 km/h

b)45 minutes

c)15 km/h

Answer:

Step-by-step explanation:

a)20

b)45

c)15

Answer:

1. d

2. c

3. b

4. a

Answer:

-4 > 6

Step-by-step explanation:

So it would be -4 > 6 because you have 6 on the right, and 6 - 10 is -4, which is on the left.

Answer:

the third circle.

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

When adding a negative number on a number line, we move to the left. This is because adding a negative number is the same as subtracting. If we start at -3 and move 5 to the left, we will end at -8.

Answer:

D. 56

Step-by-step explanation:

8!/3!x5!= 56

Answer:

see below

Step-by-step explanation:

2 1/2+ 3 3/16 + 7/8

Get a common denominator of 16

2 8/16 + 3 3/16 + 14/16

5 25/16

5 + 16/16 + 9/16

6 9/16

Subtract this from 8 ft

8 - 6 9/16

Borrow 1 from 8 in the form of 16/16

7 16/16 - 6 9/16

1 7/16

b  1 7/16 - 1 1/3

The common denominator is 48

1 21/48    - 1 16/48

5/48

Answer:

18:10 is equivalent to 9:5

Step-by-step explanation:

half of 18 is 9 and half of 10 is 5

Answer:

9:5

Step-by-step explanation:

18:10 is equivalent to 9:5 because 10 divided by 2 is 5 so you can do the same for 18. You will get 9 which makes it 9:5.

｡☆✼★ ━━━━━━━━━━━━━━  ☾  

5x + 5 = 8 3/4

- 5 from both sides

5x = 15/4

/5 on both sides

x = 3/4

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

｡☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

376.99 cm

Step-by-step explanation:

V=πr2h^3