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myrzilka [38]
3 years ago
15

Point (a, b) is translated 4 units down.

Mathematics
1 answer:
kaheart [24]3 years ago
7 0
It is a ()
Explanation
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you secure a mortgage to buy a house with a loan of $140,000 at 8.5% for 20 years. answer the following questions about that loa
Yuri [45]

Answer:

  • monthly payment $1214.95
  • 1st month's interest $991.67
  • balance after 1st payment $139,776.72
  • 2nd month's interest $990.09
  • balance after 2nd payment $139,551.86

Step-by-step explanation:

The monthly interest rate is ...

  \dfrac{8\%}{12}=0.00708\overline{3}

a) The monthly payment is given by the amortization formula:

  A = Pr/(1 -(1+r)^-n)

where r is the monthly interest rate on a loan of amount P for n months.

  A = $140,000(0.0070833)/(1 -(1.0070833^-240)) = $1214.95

The monthly payment is $1214.95.

__

b) The amount to interest is the product of the remaining principal and the monthly interest rate.

 first month's interest = $140,000·0.0070833 = $991.67

__

c) The balance after the first payment is ...

  new balance = $140,000 +991.67 -1214.95 = $139,776.72

__

d) The amount to interest for the second payment is computed the same way:

  second month's interest = $139,776.72·0.00708333 = $990.09

__

e) The balance after the second payment is computed the same way:

  new balance = $139,776.72 +990.09 -1214.95 = $139,551.86

8 0
3 years ago
Find the area of a circle with a radius of 7 feet
-Dominant- [34]

Answer:

153.938 ft²

Step-by-step explanation:

πr² (area of a circle where r is the radius

π(7)²

π(49)

π(49)≈153.938

7 0
3 years ago
What is the parabola’s line of symmetry?<br> y-axis<br> x-axis<br> x = p<br> x = -p
Licemer1 [7]

The parabola's line of symmetry is the x-axis.

5 0
3 years ago
Read 2 more answers
Eighteen boys joined a group of p students in the auditorium. If the ratio of boys to girls was then 5:4 write and algebraic exp
ycow [4]

Answer:  The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Number of boys added: 18 </em>
  • <em>Ratio of boys to girls: 5:4 </em>

So, the total number of boys is:

x + 18  

Number of girls = y

Number of boys / number of girls = 5/4

(x+18) /y = 5/4

Solving for "y"

4 (x +18) =5 y

4x +72 = 5y

(4x +72) /5 = y

The number of girls in the auditorium is represented by the algebraic expression y=(4x +72) /5

8 0
3 years ago
A coin is flipped. If a heads is flipped, then the coin is flipped 4 more times and the number of heads flipped is noted; otherw
MrRissso [65]
You worded this weird but wouldn't it be eight?
6 0
3 years ago
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