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Nesterboy [21]
2 years ago
13

Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A =

MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Mathematics
1 answer:
podryga [215]2 years ago
8 0

9514 1404 393

Answer:

  $9072

Step-by-step explanation:

Put the given numbers in the given formula and do the arithmetic.

  A = MN . . . . . . M = payment = $189. N = number of payments = 48.

  A = $189 × 48 = $9072

The total amount paid is $9072.

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{4x-2y+5z=6 <br> {3x+3y+8z=4 <br> {x-5y-3z=5
lesya692 [45]

There are three possible outcomes that you may encounter when working with these system of equations:


  •    one solution
  •    no solution
  •    infinite solutions

We are going to try and find values of x, y, and z that will satisfy all three equations at the same time. The following are the equations:

  1. 4x-2y+5z = 6
  2. 3x+3y+8z = 4
  3. x-5y-3z = 5

We are going to use elimination(or addition) method

Step 1: Choose to eliminate any one of the variables from any pair of equations.

In this case it looks like if we multiply the third equation by 4 and  subtracting it from equation 1, it will be fairly simple to eliminate the x term from the first and third equation.

So multiplying Left Hand Side(L.H.S) and Right Hand Side(R.H.S) of 3rd equation with 4 gives us a new equation 4.:

4. 4x-20y-12z = 20      

Subtracting eq. 4 from Eq. 1:

(L.HS) : 4x-2y+5z-(4x-20y-12z) = 18y+17z

(R.H.S) : 20 - 6 = 14

5. 18y+17z=14

Step 2:  Eliminate the SAME variable chosen in step 2 from any other pair of equations, creating a system of two equations and 2 unknowns.

Similarly if we multiply 3rd equation with 3 and then subtract it from eq. 2 we get:

(L.HS) : 3x+3y+8z-(3x-15y-9z) = 18y+17z

(R.H.S) : 4 - 15 = -11

6. 18y+17z = -11

Step 3:  Solve the remaining system of equations 6 and 5 found in step 2 and 1.

Now if we try to solve equations 5 and 6 for the variables y and z. Subtracting eq 6 from eq. 5 we get:

(L.HS) : 18y+17z-(18y+17z) = 0

(R.HS) : 14-(-11) = 25

0 = 25

which is false, hence no solution exists



3 0
2 years ago
Find the approximate area of a circle that has a diameter of 11 inches. Round your answer to the nearest hundredth
OLga [1]

Answer:

95.03in.^2

Step-by-step explanation:

Use the formula, A= pi r^2 and D=2r

A=1/4pi d^2=1/4 times pi time 11 squared

4 0
2 years ago
What is the length of the diagonal?
JulijaS [17]

Answer:

\sqrt{865} feet

Step-by-step explanation:

Using pythagoras theorem,

length \:  =  \sqrt{17 {}^{2}  + 24 {}^{2} }  \\  =  \sqrt{865} ft

6 0
3 years ago
N= 7/3T+17 <br> Solve the equation for T
LenaWriter [7]
7/3T=N-17
T=3/7(N-17)
T=3/7N -51/7
5 0
2 years ago
Find the value of the variable in the figure.<br> O 1400<br> 0 41°<br> 0 71°<br> O 70°
kotykmax [81]

The answer is 71.

You add all of the numbers to get 289. Then you take 360-289 and get 71.

6 0
3 years ago
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