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Soloha48 [4]
3 years ago
11

A, B and C are integers. If B is greater than A, then the sum of A and B will always produce a solution C with the same sign as

B. True or false?
Mathematics
1 answer:
Misha Larkins [42]3 years ago
5 0
This would be false because it will depend on the actual values of both a and b, including if they are positive or negative.

This is true.

For example :

B = -6
A = -9

A + B = C = -6 + -9 = -15.

The value is C has the same sign as B.

B = 2
A = -5

A + B = -5 + 2 = -3.

Here The sign for C does not match the sign for B, which is positive.

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Find the quotient of these complex numbers.
stich3 [128]

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}

8 0
2 years ago
Betty stopped running half of the way through the run.
Serhud [2]
Desmond ran the further distance because Betty ran 2/4 and Desmond ran 3/4
6 0
3 years ago
USE THE ATTACHED IMAGE BELOW TO HELP DO MY HOMEWORK PLEASE<br> !!!!
BartSMP [9]

Part A

Sue

A = P*(1+r/n)^(n*t) is the compound interest formula

A = 2300*(1+0.024/1)^(1*3)

A = 2469.6061952

A = 2469.61

A - P = 2469.61-2300 = 169.61

<h3>Sue gets 169.61 pounds in interest</h3>

-----------

Bill

A = P*(1+r/n)^(n*t)

A = 1800*(1+0.034/1)^(1*3)

A = 1989.9131472

A = 1989.91

A-P = 1989.91-1800 = 189.91

<h3>Bill earns 189.91 pounds in interest</h3>

Bill has earned more in interest.

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

Part B

By year 2, Bill has 1924.48 pounds in his account based on the work shown below

A = P*(1+r/n)^(n*t)

A = 1800*(1+0.034/1)^(1*2)

A = 1924.4808

A = 1924.48

This amount is the new deposit, so to speak, when we change the interest rate. Now r = 0.034 changes to r = 0.04. We only go for one year so t = 1

A = P*(1+r/n)^(n*t)

A = 1924.48*(1+0.04/1)^(1*1)

A = 2001.4592

A = 2001.46

Bill has 2001.46 pounds in his account after 3 years if the interest rate for the 1234 account changes to 4% in the third year.

Now subtract off the original amount Bill deposited to get

2001.46-1800 = 201.46

For this scenario, Bill earns 201.46 pounds in interest.

Therefore, Bill has earned the most interest for both cases of the interest rate staying at 3.4% or changing to 4% for that third year.

<h3>Answer: Bill</h3>
8 0
3 years ago
Find the interior angle of a regular polygon which has 6 sides​
AveGali [126]

Answer:

120°.

Step-by-step explanation:

The sum of all interior angles in a polygon with n sides (n\in \mathbb{Z}, n \ge 3) is equal to (n - 2) \cdot 180^{\circ}. (Credit: Mathsisfun.)

The polygon here has 6 sides. n = 6. Its interior angles shall add up to (6 - 2) \times 180^{\circ} = 720^{\circ}.

Consider the properties of a regular polygon. (Credit: Mathsisfun.)

  • All sides in a regular polygon are equal in length.
  • All angles in a regular polygon are also equal.

There are six interior angles in a polygon with 6 sides. All six of them are equal. Thus, each of the six interior angle will be

\displaystyle \frac{1}{6}\times 720^{\circ} = 120^{\circ}.

5 0
2 years ago
1/6(x + 6) = 11 need help
Andreas93 [3]

Answer:

7

Step-by-step explanation:

x=7

3 0
3 years ago
Read 2 more answers
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