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3 years ago

Which is the answer?

Mathematics

2 answers:

Gnesinka [82]3 years ago

7 0

Answer:

ASA

Step-by-step explanation:

They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.

Hope this is helpful!

frozen [14]3 years ago

6 0

Answer:

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

4 years ago

Using the line AB, name two line segments.

vodka [1.7K]

The answer to your question is number 1

7 0

3 years ago

What do economists consider a "leading indicator" of the health of the economy?

GarryVolchara [31]

What economists consider a "leading indicator" of the health of the economy is: GDP.

GDP which full meaning is gross domestic product can be defined as the value of goods and service produce within a country at a particular period of time.

Gross domestic product is a leading indicator of an economy wealth based on the fact that it help to measure the wealth of a nation economy.

Therefore what economists consider a "leading indicator" of the health of the economy is: GDP.

Learn more about GDP here:brainly.com/question/1383956

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6 0

1 year ago

A college student completed some courses worth 4 credits and some courses worth 5 credits. The student earned a total of 74 cred

lutik1710 [3]

Answer:

4x+5y=74

six 5 credit cources and 11 four credit cources

if u substitute in the value its correct

4(11)+5(6)= 44+30 which is 74

and 11 plus 6 is 17 cources so there you go!

7 0

3 years ago

What is the simplified form of the expression? (2x^6) (3x ^ 1/2) A. 6x ^ 13/ 2 B. 5x ^ 13/2 c. 5x3 d. 6x3

Blizzard [7]

The given expression is (2x⁶)(3x^1/2)
Now, multiply 2 with 3, the expression becomes 6.x⁶.x^1/2
Now, as the base is same, add the exponents:
The expression becomes 6x^13/2

The option A is correct

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4 years ago