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3 years ago

PLS THIS IS MY LAST QUESTION

Mathematics

1 answer:

MrRa [10]3 years ago

5 0

Answer: x = 5.625

Step-by-step explanation: The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.

Use proportion. The total length of side FV is 16.

6:16 = x:15 . or 6/16=x/15

cross multiply 15 × 6 = 90, then divide 90/16

90/16 = x

5.625 = x

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A test requires that you answer first Part A and then either Part B or Part C. Part A consists of 4 true false questions, Part B

erma4kov [3.2K]

Answer: 374416

Step-by-step explanation:

Given : A test requires that you answer first Part A and then either Part B or Part C.

Part A consists of 4 true false questions, Part B consists of 6 multiple-choice questions with one correct answer out of five, and Part C consists of 5 multiple-choice questions with one correct answer out of six.

i.e. 2 ways to answer each question in Part A.

For 4 questions, Number of ways to answer Part A = $2^4$

5 ways to answer each question in Part B.

For 6 questions, Number of ways to answer Part B = $5^6$

6 ways to answer each question in Part C.

For 5 questions, Number of ways to answer Part C = $6^5$

Now, the number of ways to completed answer sheets are possible :_

$2^4\times5^6+2^4\times6^5\\\\=2^4(5^6+6^5)\\\\=16(15625+7776)\\\\=16(23401)=374416$

Hence, the number of ways to completed answer sheets are possible = 374416

8 0

3 years ago

the length of a rectangle is twice its width. the perimeter of the rectangle is no more than 174cm. what is the greatest possibl

Feliz [49]

Hey there
I 've already answered this question twice
by mistake.Kindly check.

4 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

3 years ago

Write AB−⇀− with A(−7,5) and B(−3,−7) in component form.

Sladkaya [172]

Answer:

ANSWER: (4, -12)

Step-by-step explanation:

Lol

8 0

2 years ago

What does y equal in this problem 5y-3(2-y)=10

Pepsi [2]

Steps:

5y - 6 + 3y = 10

8y = 10 + 6

y = 16/8

y = 2

Hope this helps! :)

3 0

3 years ago