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lord [1]
3 years ago
12

Add or subtract. Write the result in the form a+bi

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Number 1: (-1+2i)+(6-9i)

Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(-1+6\right)+\left(2-9\right)i\\=5-7i

Number 2: (3-3i)-(4+7i)

Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(3-4\right)+\left(-3-7\right)i\\Refine\\=-1-10i

Number 3: (-5+2i)+(-2+8i)

Group\:the\:real\:part\:and\:the\:imaginary\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(-5-2\right)+\left(2+8\right)i\\Refine\\=-7+10i

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Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t
Licemer1 [7]
I use a bit of a different looking formula.

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

P=amount of money. (500)
r= rate (in decimal. 4%=0.04)
n=number of times per year (1 in this problem)
t=amount of time. (5 years)

Plugged in it looks like this:

A(t)=500 (1+ 0.04/1)^1x5

Then I put it into my calculator like this:

0.04/1+ 0.04

Then add one to the above answer:

0.04+1=1.04

Then raise the above answer to the 1x5:

1.04^5=1.2166......

Then multiply the above answer by 500:

1.2166.... x 500=608.3264512

She has $608 after 5 years.

Hope this helps, let me know if you have any questions.
5 0
3 years ago
Choose the statement below that correctly compares the numbers 2.34 and 2.43.
HACTEHA [7]

Answer:

the answer is 2.34<2.43

Step-by-step explanation:

it is because 2.34 is less than 2.43

< means less than

> means greater than

= means equal to

8 0
3 years ago
Plss help...<br><br>Write down the rule in the form y=​
aniked [119]

Answer:

yxthgggggyhfffghgggggvggvvggvv

6 0
2 years ago
Por favor denme una ecuación a esta pregunta:
Katena32 [7]

Answer:

x + 13 = 25

Step-by-step explanation:

Se puede representar "un número" con x.

x

"Adiciona" significa +.

x + 13

"El resultado" significa =.

x + 13 = 25

7 0
3 years ago
What is the length of BC? If your answer is not an integer, leave it in simplest radical form?
nexus9112 [7]
ANSWER

|BC|=12\sqrt{2}\: ft

EXPLANATION

The given right triangle is an isosceles triangle because

m \: < \: B = 45 \degree = m \: < \: C
This implies that,

|AB|=12ft=|AC|

From the Pythagoras Theorem,

|BC|^2=|AB|^2+|AC|^2

|BC|^2= {12}^{2} + {12}^{2}

|BC|^2=2 \times {12}^{2}

|BC| = \sqrt{ {12}^{2} \times 2 }

|BC|=12\sqrt{2}\: ft
7 0
3 years ago
Read 2 more answers
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