Presumably you mean the equation
[tex]\dfrac{13z}{z+1} = 11-3i[/tex]
Observe that for [tex]z\neq-1[/tex],
[tex]\dfrac{13z}{z+1} = \dfrac{13(z+1) - 13}{z+1} = 13 - \dfrac{13}{z+1}[/tex]
so we can simplify the equation to
[tex]13 - \dfrac{13}{z+1} = 11 - 3i \implies \dfrac{13}{z+1} = 13 - (11 - 3i) = 2+3i[/tex]
Multiply both sides by [tex]\frac{z+1}{2+3i}[/tex].
[tex]\dfrac{13}{z+1}=2+3i \implies \dfrac{13}{2+3i} = z+1 \implies z = \dfrac{13}{2+3i} - 1[/tex]
Rationalize the denominator by introducing its complex conjugate.
[tex]z = \dfrac{13(2-3i)}{(2+3i)(2-3i)} - 1 = \dfrac{26-39i}{2^2+3^2} - 1 = \boxed{1 - 3i}[/tex]
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
A man earns $1500 a week. He saves $500. What percentage did he spend?
Answer:
3313%
Step-by-step explanation:
1. What is the range of frequencies a human ear can hear?
Answer:
Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.
(Human infants can actually hear frequencies slightly higher than 20 kHz, but lose some high-frequency sensitivity as they mature; the upper limit in average adults is often closer to 15–17 kHz.)
Please help marking brainliest for correct answer
Answer:
alternate exterior
Step-by-step explanation:
Math will give brainliest
Answer: 312
Step-by-step explanation: i just times it
Answer:
Mutiply 24 and 13
24×13=312
312cm3
simplify the expression 4x+2-1/2x
Answer:
7/2 x + 2
Step-by-step explanation:
4x+2−
1
2
x
A boy runs a distance of 200km in 25seconds. What is his average speed
Answer:
8 km average speed
Step-by-step explanation:
Answer:
His average speed is 28,800 km per hour.
Step-by-step explanation:
He runs 480 km per minute. Then I multiply 480 by 60 to get 28,800 km.
:))
please help me out. is it A B C D?
(2a+5)³ is equal to 8a³+60a²+________?
the answer is will be +50a+125
One way an author can call attention to the order of events in a narrative is by using
setting
description
dialogue
transitions
22. Write the inequality for the graph shown below.
Help. Please.
Find the distance between the two points (-5, -2) and T(-3, 4).
Answer:
[tex]\displaystyle d = 2\sqrt{10}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, -2) → x₁ = -5, y₁ = -2
Point (-3, 4) → x₂ = -3, y₂ = 4
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+5)^2+(4+2)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(2)^2+(6)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{4+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{40}[/tex][√Radical] Simplify: [tex]\displaystyle d = 2\sqrt{10}[/tex]brainlist-brainlist-brainlist
Answer:
triangle
Step-by-step explanation:
The cross section is a triangle.
Answer:
i think either a square or rectangle
Step-by-step explanation:
140 es múltiplo de 100
Answer:
Step-by-step explanation:
No it isn't. 140/100 is NOT a whole number so 140 isn't a multiple of 100.
Someone plz helpppp
A chemistry teacher needs to mix a 40% salt solution with a 70% salt solution to make 25 qt of a 52% salt solution. How many quarts of each solution should the teacher mix to get the
desired result?
40% salt solution=?qt
70% salt solution=?qt
Answer:
Step-by-step explanation:
We assume we need x qt of 40% and y qt of 70%
40/100 x + 70/100 y = 52/100 (x+y)
So 3y = 2x, which means y = 2/3x
And we know that x + y = 25qt
So x + 2/3x = 25qt
So x = 15 and y = 10
Q-U-E-S-T-I-O-N: Whats 1000000000000000000000000 multiplyed by 20000000
Its a weird word :/
Answer:
2e+31
Step-by-step explanation:
WORTH 10 POINTS :)
Bo paid with 1/2 of his paycheck about 1/5 of the remainder in savings. The rest of his paycheck he divided equally among the college accounts of his 3 children.
1. What fraction of his paycheck went into each child's account?
2. If bo deposited $400 in each child's account, how much money was in Bo's original paycheck?
Answer:for college, 1-1/2-1/5 = 3/10. Divided by 3 children, 3/10 /3 = 1/10
B. 400 = 1/10 of the total (from above), so 400 = x/10. x = 400*10 = 4000
Step-by-step explanation:
Answer:
1. 1/6 2. $2400
Step-by-step explanation:
If Bo had 1/2 of his paycheck leftover to divide among his 3 kids, 1/2 divided by 3 is 1/6.
If 1/6 of his paycheck is $400, then all 6/6 of his paycheck would be $2400.
How to do 5x+2=52? ME GIVE BRAIN DO IT NOWWWWW
Hi there!
52 subtract by 2 is 50 and then dividing by 5 would be 10.
So x would be 10.
A family borrows money for a rainforest tour. The simple annual interest rate is 12%. The loan is paid after 3 months. What is the total amount paid for the tour?
Answer:
1,266.90
Step-by-step explanation:
1. 940 + 170 + 120 = 1,230
2. 1,230 x 0.12 x 0.25 = 36.9
3. 36.9 + 1,230 = 1,266.90 (FINAL ANSWER)
There are 5 more than twice as many students taking Algebra 1 than taking Algebra 2. If there are 44 students taking Algebra 2,
what is the least number of students who could be taking Algebra 1? The least number of students is (pe numbers only)
Help asap
Answer: 54
Step-by-step explanation:
I NEED HELP PLSSSSSSS
helppppppppppppppppppppp
We can apply the Pythagorean theorem:
c= (SQ)
a=RQ = 4
b=RS = 4
c²=a²+b²
c=√(16+16)
c=√32
c=4√2
SV=0,5*SQ
SV=0,5*c
SV=√2
Mikey buys an assorted box of chocolates that contains 18.61 ounces of dark chocolate and 37.23 ounces of milk chocolate. how much do the chocolate weigh in total?
Answer:
55.84 oz
Step-by-step explanation:
Hope this will help
if_ is added to a number, the sum will remain the same. Hence _ is called the _in the whole number
Answer:
Step-by-step explanation:
If 0 is added to a number, the sum will remain the same.
At 1:00 a.m., the temperature is 58º. At 9:00 a.m., the temperature is 76º. Find the rate of change in degrees per hour during this time.
Answer:
1 AM = 58 Degrees
9 AM = 76 Degrees
Difference of temperate between the times:
18 Degrees
Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9
18 / 8 = 2.25
Which means, the rate of change in degrees per hour is 2.25 degrees.
Step-by-step explanation:
Can somebody please answer the question giving brainliest!
Answer:
A counter clockwise
Step-by-step explanation:
Will mark Brainlyist help me fill out the chart
Answer:
The working is done in the image attached.
How many 3/5 are in 7
Answer:
11.6
Step-by-step explanation:
7 ÷ ⅗ = 11.6
I hope this answer is satisfactory. Please comment if you have any concerns.
Answer:
35/3 or 11 2/3
Step-by-step explanation:
This is a division problem.
We need to divide 7 by 3/5.
7 / 3/5 = 7/1 / 3/5 = 7/1 * 5/3 = 35/3 = 11 2/3
Answer: 35/3 or 11 2/3
An advertising agency notices that approximately 1 in 50 potential buyers of a product sees a given magazine ad, and 1 in 8 sees a corresponding ad on television. One in 100 sees both. One in 4 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product
Answer:
Probability = 0.12025
Step-by-step explanation:
P (Am) = 1/50 = 0.02 {Magazine ad}
P (At) = 1/8 = 0.125 {Television ad}
P (Am ∩ At ) = 1/100 = 0.01 {Both ads}
P (Am U At) = P (Am) + P (At) - P (Am ∩ At )
= 0.02 + 0.125 - 0.01
P (Am U At) = 0.135 {Person sees either ad}
P (Am' ∩ At') = 1 - P (Am U At)
P (Am' ∩ At') = 1 - 0.135 = 0.865 {Person sees none ad}
Prob (Purchase) = Prob (Purchase with ad) + Prob (purchase without ad)
P (P/ A) = 1/4 = 0.25 , P (P / A') = 1/10 = 0.1
P (P) = (0.25) (0.135) + (0.1) (0.865)
= 0.03375 + 0.0865
0.12025
what is the area of this parralelogram? h=4 inch b=7 inch
Answer:
28cm^2
Step-by-step explanation:
4 x 7
Answer:
no sé nada de inglés we ya me entiendes si supiera te ayudará pero eso está difícil busca por internet