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3 years ago

Need help on this question asap pleasee

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

Answer:

4th option

Step-by-step explanation:

The chord- chord angle 67.5° is half the sum of the arcs intercepted by the angle and its vertical angle, that is

67.5 = $\frac{1}{2}$ (x + 90)

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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

URGENT please help me with this !!!

marin [14]

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = $\frac{1}{3}$ area of base × height, hence

V = $\frac{1}{3}$ × 96 × 15 = 32 × 15 = 480

5 0

3 years ago

HELP WITH PROBABILITY PWEASEEE <br> (4 questions)

Aliun [14]

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Step-by-step explanation:

We will write the sample space of all options one by one.

a. Rolling a 6 sided die

As the die has six sides numbered from 1 to six then the sample space will be:

S1 = {1,2,3,4,5,6}

b. Guessing the first initial of a student's name:

As the English language has 26 alphabets, the first initial can be any alphabet so the sample space will be all letters:

S2 = {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. Tossing two coins

As two coins are tossed, the outcomes will be a combination of two outcomes

S3= {HH,HT,TH,TT}

d. Rolling a 6 sided die and tossing a coin

As the die is rolled and then a coin is tossed. The die's coin will either combine with heads or tails

So,

S4 = {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Hence,

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Keywords: Sample Space, Probability

Learn more about sample space at:

brainly.com/question/11007026

brainly.com/question/11207748

#LearnwithBrainly

8 0

3 years ago

–125 ÷ –5 = ? A. –23 B. –25 C. 23 D. 25

vovikov84 [41]

Answer:

The answer is 25

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is a possible value for the missing term of the geometric sequence?<br><br> 43, ___, 688, ...

Ostrovityanka [42]

Answer:

172

Step-by-step explanation:

The formula for the missing term of a geometric sequence is the square root of x times y.

4 0

2 years ago