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GrogVix [38]
3 years ago
11

Evaluate the following: Options are: -20 0 20 The integral diverges

Mathematics
1 answer:
victus00 [196]3 years ago
3 0

Answer:

The integral diverges

Step-by-step explanation:

∫₋₁¹ 10/x² dx

There is a discontinuity in the function at x = 0.  Splitting this into two integrals:

∫₋₁⁰ 10/x² dx + ∫₀¹ 10/x² dx

-10/x |₋₁⁰ + -10/x |₀¹

∞

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Find all roots: x^3-7x^2-12x = 0
Pepsi [2]

Answer:

The roots are  0, 3 and 4.

Step-by-step explanation:

x^3-7x^2-12x = 0   Take out x:

x(x^2 - 7x - 12) = 0  Factor the expression in the brackets:

x(x - 3)(x - 4) = 0

x = 0 or x - 3 = 0 or x - 4 = 0, so

The roots are  0, 3 and 4.

5 0
3 years ago
You are buying a house that cost 650,000 and you put down a down payment. you take out a loan for the remainder of the amount, o
gayaneshka [121]
<h3>Answers:</h3>

Monthly Payment = $4,702.68

Total Payments = $846,482.40

Interest = $261,482.40

Delete the dollar signs and/or commas if needed.

=====================================================

Explanation:

The down payment is 10% of the home's value

This means that the buyer pays $65,000 up front (since 0.10*650,000 = 65,000).

The remaining 650,000 - 65,000 = 585,000 dollars is loaned in the mortgage.

Or you could write it like this 95% of 650,000 = 0.95*650,000 = 585,000

-----------------

The monthly payment formula is

P = (L*i)/( 1-(1+i)^(-n) )

where,

  • P = monthly payment
  • L = amount loaned
  • i = interest rate per month in decimal form
  • n = number of months

In this case,

  • L = 585,000 dollars
  • i = 0.0525/12 = 0.004375 exactly
  • n = 15*12 = 180 months (equivalent to 15 years)

So,

P = (L*i)/( 1-(1+i)^(-n) )

P = (585000*0.004375)/( 1-(1+0.004375)^(-180) )

P = 4702.6846353538

P = 4702.68

The monthly payment is $4,702.68

-----------------

Let's now compute the total amount paid back (principal + interest)

If you pay 4,702.68 dollars per month over the course of 180 months, then you pay back a total of 4702.68*180 = 846,482.40

The total payments add up to 846,482.40 dollars.

-----------------

To compute the interest only, subtract the total payments from the amount loaned.

846,482.40 - 585,000 = 261,482.40 is the amount of interest only.

8 0
1 year ago
Worth 10 points please help me ASAP!
Y_Kistochka [10]

Answer:

(-1,-1)

Step-by-step explanation:

If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).

6 0
3 years ago
34 x 44 <br> Please explain to me
sladkih [1.3K]

Answer:

34*44=

1. 4*4=16

2. 4*3=12

3. repeat

4. your answer is 1,496

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9
katrin [286]

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

                                y = 1/2x + 7

7 0
3 years ago
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