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Hitman42 [59]
3 years ago
11

Consider a 15-year mortgage at an interest rate of 8% compounded monthly. The amount to be mortgaged is $130,000. After the firs

t month's payment, what is the new outstanding principal?
Mathematics
1 answer:
MrMuchimi3 years ago
3 0
The answer is <span>$129,624.32</span>
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Ralph is painting the barn below, including the sides and roof.  He wants to know how much paint to purchase. 
grandymaker [24]
PART A

The barn is constructed by the following 2D shapes

Two triangles of height = 4' and base = 20'
Area = 2 × (0.5×4×20) = 80

Two rectangles of length = 20' and width = 15'
Area = 2 × 20 × 15 = 600

Two rectangles of length = 45' and width = 15'
Area = 2 × 45' × 15' = 1350

One base of length = 45' and width = 15'
Area = 45 × 15 = 675

Two rectangles on each on one side of the roof. We have the length = 45'  but not the width. We can work out the width by using Pythagoras theorem

w² = 4² + 10²
w² = 16 + 100
w² = 116
w = √116 = 10.77

Area of the two rectangles on the roof part is = 2 ×10.77 × 45 = 969.33

Total area to paint = 969.33+675+1350+600+80 = 3674.33 ≈ 3700 (to the nearest hundreth)


PART B

Numbers of paint cans needed = 3700 ÷ 57 = 64.9 ≈ 65 cans

PART C

Total cost of paint = 65 × 23.50 = $1527.50

PART D

The barn is constructed by a cuboid and a rectangular prism

V of cuboid = length × width × height
V of cuboid = 20 × 45 × 15
V of cuboid = 13500

V of triangular prism = Area of cross section × depth
V = [0.5×4×20] × 45
V = 1800

Total volume = 1800 + 13500 = 15300


7 0
3 years ago
According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?
jarptica [38.1K]

Answer: 3 zeroes.


Explanation:-

  • The fundamental theorem of algebra states that any polynomial with degree m>0  and complex coefficients has atleast one complex root.
  • Corollary of fundamental theorem states that for any polynomial with degree m>0 has exactly m solutions.

The given function is f(x)=4x^3-x^2-2x+1

Because it is a polynomial function with degree 3>0 , Therefore by corollary of fundamental theorem of algebra , it has 3 zeroes.

8 0
4 years ago
Read 2 more answers
Help me plisss<br> .............................
ValentinkaMS [17]

Answer:

-100

Step-by-step explanation:

8 0
3 years ago
Use point-slope form to write the equation of a line that passes through the point
Ymorist [56]

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

5 0
2 years ago
Please answer this question
VashaNatasha [74]

Answer:

i think 1

remember like this: y=mx+b

m is slope

b is y intercept

8 0
3 years ago
Read 2 more answers
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