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3 years ago

Are the coordinates ( 2 , 3 ) and ( 3 , 2 ) the same? why or why not?

Mathematics

1 answer:

asambeis [7]3 years ago

8 0

Answer:

Step-by-step explanation:

They are not the same because in the first example: (2,3) the 2 is on the x axis and 3 is on the y axis

In the second example: (3,2) the 3 is on the x axis and the 2 is on the y axis. Therefore the two points are not the same

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Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo

svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

$PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}$

$128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

$PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

PV = $121718.2714

C) In order to estimate how many payments of $1400 it will take to pay off the loan, we have:

$121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}$

$121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}$

$0.60859 = (0.006458)^{nt}$

$nt = \dfrac{0.60859}{0.006458}$

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88 - 177795.38

The amount of interest saved = $153920.5

6 0

3 years ago

What is the answer for 3÷4-1

umka2103 [35]

Answer:

-1/4 OR -0.25

Step-by-step explanation:

Using PEMDAS:

3/4 = 3/4... or 0.75.

Subtracting 1: 3/4 - 4/4 (or 1) = -1/4. 0.75 - 1 = -0.25.

5 0

4 years ago

Read 2 more answers

I dont know how to make 0.3 as a fraction and then simplify.

Lapatulllka [165]

0.3 is 3/10, (which is already simplified) because .3 is out of 1. Which means that that 1 is 10. Which is 3/10.

7 0

3 years ago

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What is the solution to the system of equations graphed below? y=-4x + 33 y=5/3x-1

Black_prince [1.1K]

Answer:

x = 6

y = 9

This is the correct answer. Not satisfied? Check out this answer expert verified answer of the same question but with a step-by-step explanation. This answer is just a simple version of rocioo's correct answer.

Expert Verified Answer (of this same question but with a step-by-step explanation):

This is the link to rocioo's answer. brainly.com/question/13675950

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3 years ago

Read 2 more answers

Ten students share 8 pieces of poster board equally. what fraction of a piece of poster board does each friend get?

padilas [110]

8:10= 0,8

0,8 or 4/5
hope this help

7 0

4 years ago