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Serga [27]
3 years ago
11

The Owens family has saved up $50,000 for a down payment on a house. They are going to use this money as the %10 down payment th

eir lender is requiring them to make to purchase the house. What is the price of the house that the Owens family is buying
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0
The price of the house is $500,000.
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Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of
Luda [366]

Answer:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

  • |C| = \sqrt{a^2+b^2}

Then, the work consists in finding pairs (a,b) for which:

  • \sqrt{a^2+b^2}=3

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}

I will use b =0.5, b = 1, b = 1.5, b = 2

b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236

Then, four distinct complex numbers that have an absolute value of 3 are:

  • 0.5 + 2.985i
  • 1 + 2.828i
  • 1.5 + 2.598i
  • 2 + 2.236i
4 0
3 years ago
A toy car can go 5 mph. How long would it take to go 7 miles?
Radda [10]

Answer:

by the way what grade are you in? If you are more than 7th grade can you help me? brainly.com/question/16233847

35 mph

Step-by-step explanation:

7 times 5

3 0
3 years ago
Please help me on this​
nadya68 [22]
Savings account, retirement savings, value of second car, balance in checking account i believe those are the only ones not positive though
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3 years ago
Best answer or correct answer gets brainliest
Brilliant_brown [7]

Answer: C. x = 6; m∠XOY = 18

Step-by-step:

We see that ZOW and WOX are supplementary, meaning the sum of their angles equal 180.

We also know that WOY is a right angle and equals 90.

Now we can solve

180-108 = 72

90 - 72 = 18

XOY = 18

Because 3x = 18, we know that x = 18 by dividing 18 by 3

5 0
3 years ago
Pleas help me with 16. The first best answer gets brainlist.
Butoxors [25]

Answer:

ghvghfcc tcfcfgg

Step-by-step explanation:

brainliest pleese

3 0
3 years ago
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