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3 years ago

Find the area of the polygon.

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

5 0

Answer:

820 $m^{2}$

Step-by-step explanation:

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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

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom sid

satela [25.4K]

Answer:

The length of bottom side of the scaled copy is 12 u

Step-by-step explanation:

To solve this problem we have to know that to calculate the area of a triangle we use the following formula

a = area

b = base

h = height

a = b * h

In the triangle A the base and the height are equal to 3

b = h

Now that we know that b & h we can calculate the base of the scaled copy

72 u² = b * b

72 u² = (b)²

√(72 u²) = b

12 u = b

The length of bottom side of the scaled copy is 12 u

6 0

3 years ago

Find the sum or difference (2c-4)+(5c+11)

laiz [17]

Remove parentheses
2c - 4 + 5c + 11
Combine like terms
Answer: 7c + 7

7 0

3 years ago

if the point (-4,5) and (0,2) are used to find the slope of the line the slope is -3/4 what is the slope if the points (0,2) and

wariber [46]

The slope will be -3/4
To find slope you just place the change in y over the change in x.
2- -1=3
0-4= -4
The slope is -3/4 which is the same as before

7 0

3 years ago

What’s 4+5+6+7+8. Plzzzzzzzz

irina1246 [14]

It's 30

Hope that helped!

8 0

3 years ago

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