1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luda [366]
2 years ago
5

In a right triangle ΔABC, where line AB =8, and ∡ C=65 degrees. Find the length of line AC , line BC and angle∡A.

Mathematics
1 answer:
nexus9112 [7]2 years ago
3 0
53.1 the correct answer
You might be interested in
Select all of the reflections that will carry the rectangle onto itself
agasfer [191]

Answer:

B and E

Step-by-step explanation:

5 0
3 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
If 40% of the students in the class are boys, and if there are 15 girls in the class, then how many students are in the class? *
OleMash [197]

Answer:

25

Step-by-step explanation:

15/6.0=2.5

2.5x4=10

2.5x6=15

10+15=25

10 boys and 15 girls

6 0
3 years ago
Read 2 more answers
30 POINTS 3 MATH QUESTIONS HELP ASAP
Alexxandr [17]

Answer:

what is the question

Step-by-step explanation:

4 0
3 years ago
Can I please get some help on this<br>Graph the linear equation.<br>y=1/4x​
Volgvan

Answer:

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Given that ∠A and ∠B are supplementary, Daisy conjectured that ∠A≅∠B .
    8·2 answers
  • describe a situation in which a formula could be used more easily if it were rearranged. Include the formula in your description
    13·2 answers
  • The distance between – 15 and - 2 is<br> (Simplify your answer.)
    5·2 answers
  • PLEASE HELP WILL GIVE BRAINLIEST, THANKS, AND STARS.
    5·1 answer
  • Please help with math question
    5·1 answer
  • You buy a 1:1000 scale model of the Statue of Liberty during a trip to New York City. The height of the model is 9.3 centimeters
    8·1 answer
  • Please give me the correct answer ​
    11·2 answers
  • Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
    12·2 answers
  • The terminal point of Dis ( 1/2,3/2). What is cos 0?
    11·1 answer
  • Geometry questions....help me someone please
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!