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wariber [46]
3 years ago
6

Find the angle measure, x.

Mathematics
1 answer:
Ilya [14]3 years ago
3 0
60 deg I’m not to sure tho
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Select the works written by Augustine of Hippo.
Alex73 [517]

Answer:

Consolation of Philosopy..

5 0
3 years ago
Jerome bought 15 videos from a department store. Some videos were new releases, x, which cost $19, and some videos were classics
Neporo4naja [7]

Answer:

The system of equations is

x+y=15

19x+8y=164

Step-by-step explanation:

Let

x------> the number of videos of new releases

y-----> the number of classics videos

we know that

x+y=15 ------> equation A

19x+8y=164 ------> equation B

Using a graphing tool

Solve the system of equations

Remember that the solution of the system of equations is the intersection point both graphs

The intersection point is (4,11)

see the attached figure

therefore

the number of videos of new releases is 4

the number of classics videos is 11

3 0
3 years ago
Read 2 more answers
The endpoints of AB¯¯¯¯¯¯¯¯ are 8 and 16. Find the coordinate of the point P that partitions the segment in the ratio 3 : 1.
Marina CMI [18]

Answer:

The coordinates of the point P is 14.

Step-by-step explanation:

Let point A is at 8 and B is at 16.

P is the point where the line segment in the ratio 3 : 1.

This is also where P is \frac{3}{4} rds the distance from A to B

The total distance is |16 - 8| = 8  

The distance between point AB is 8 units.

\frac{3}{4} of 8 is 6.

So, the point P is 6 units from A .

8 + 6 = 14

P is at 14

Hence, the coordinates of the point P is 14.

This also works if you go 1/3 from B.

-8 is 4 from -4 which is 1/3 of 12.

3 0
2 years ago
Imagine that you would like to purchase a $275,000 home. Using 20% as
vfiekz [6]

Answer:

The mortgage chosen is option A;

15-year mortgage term with a 3% interest rate because it has the lowest total amount paid over the loan term of $270,470

Step-by-step explanation:

The details of the home purchase are;

The price of the home = $275,000

The mode of purchase of the home = Mortgage

The percentage of the loan amount payed as down payment = 20%

The amount used as down payment for the loan = $55,000

The principal of the mortgage borrowed, P = The price of the house - The down payment

∴ P = $275,000 - 20/100 × $275,000 = $275,000 - $55,000 = $220,000

The principal of the mortgage, P = $220,000

The formula for the total amount paid which is the cost of the loan is given as follows;

Outstanding \ Loan \ Balance = \dfrac{P \cdot \left[\left(1+\dfrac{r}{12} \right)^n -  \left(1+\dfrac{r}{12} \right)^m \right] }{1 - \left(1+\dfrac{r}{12} \right)^n }

The formula for monthly payment on a mortgage, 'M', is given as follows;

M = \dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}

A. When the mortgage term, t = 15-years,

The interest rate, r = 3%

The number of months over which the loan is payed, n = 12·t

∴ n = 12 months/year × 15 years = 180 months

n = 180 months

The monthly payment, 'M', is given as follows;

M =

The total amount paid over the loan term = Cost of the mortgage

Therefore, we have;

220,000*0.05/12*((1 + 0.05/12)^360/( (1 + 0.05/12)^(360) - 1)

M = \dfrac{220,000 \cdot \left(\dfrac{0.03}{12} \right) \cdot \left(1+\dfrac{0.03}{12} \right)^{180} }{\left(1+\dfrac{0.03}{12} \right)^{180} - 1}  \approx 1,519.28

The minimum monthly payment for the loan, M ≈ $1,519.28

The total amount paid over loan term, A = n × M

∴ A ≈ 180 × $1,519.28 = $273,470

The total amount paid over loan term, A ≈ $270,470

B. When t = 20 year and r = 6%, we have;

n = 12 × 20 = 240

\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.06}{12} \right) \cdot \left(1+\dfrac{0.06}{12} \right)^{240} }{\left(1+\dfrac{0.06}{12} \right)^{240} - 1}  \approx 1,576.15

The total amount paid over loan term, A = 240 × $1,576.15 ≈ $378.276

The monthly payment, M = $1,576.15

C. When t = 30 year and r = 5%, we have;

n = 12 × 30 = 360

\therefore M = \dfrac{220,000 \cdot \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{360} }{\left(1+\dfrac{0.05}{12} \right)^{360} - 1}  \approx 1,181.01

The total amount paid over loan term, A = 360 × $1,181.01 ≈ $425,163

The monthly payment, M ≈ $1,181.01

The mortgage to be chosen is the mortgage with the least total amount paid over the loan term so as to reduce the liability

Therefore;

The mortgage chosen is option A which is a 15-year mortgage term with a 3% interest rate;

The total amount paid over the loan term = $270,470

8 0
3 years ago
Jimmy recently bought a car. It originally cost $28,000.00 and he received a
Sloan [31]

Answer:

none of the given answers make sense, the answer would be 4,200

8 0
3 years ago
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