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3 years ago

1) help me please!!!!

Mathematics

2 answers:

boyakko [2]3 years ago

8 0

I think that it’s b??

Scilla [17]3 years ago

7 0

Answer:

Step-by-step explanation:

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Slope 7; through (4, 2)

vekshin1

Answer:

do you need an equation for this because if so it is

y - 2 = 7 (x - 4)

Step-by-step explanation:

you just use y - y = m (x - x)

8 0

3 years ago

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

4 years ago

How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36 none one two infinitely many How

Aloiza [94]

You can solve this system of the equations with graphical method or algebra method.

I solve this system with Gaus algorithm

first we divide second equation with number 3 and get x+10y=12

Than subtract first equation from second and get 5y=6 => y=6/5

now we replace y in the first equation and get x+5*(6/5)=6 =>x+6=6

=> x=0 (x,y)=(0,6/5)

Conclusion is that we have one intersection point between this two graphs.

Good luck!!!

8 0

4 years ago

Read 2 more answers

Assessment started: undefined.

BlackZzzverrR [31]

Parallel lines will always be the same distance apart.

5 0

3 years ago

Read 2 more answers

A desk fan has blades of 4 inches rotated at a rate of 249 revolutions per minute.

Zinaida [17]

Ok_____________________

7 0

3 years ago