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3 years ago

The expression (3 + 6i) + (5 - 10i) simplified is

Mathematics

2 answers:

HACTEHA [7]3 years ago

5 0

Answer:

The answer is 8 - 4i

you collect the like terms

Scrat [10]3 years ago

4 0

The answer is 8 - 4i

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Suppose a city with population 900,000 has been growing at a rate of 7% per year. If this rate continues, find the population of

Y_Kistochka [10]

Answer:

Future population in 19 years = 3,254,580 people (Approx.)

Step-by-step explanation:

Given:

Current population of city = 900,000

Growth rate of population = 7%

Number of year = 19

Find:

Future population in 19 years

Computation:

A = P[1+r]ⁿ

Future population = Current population[1+g]ⁿ

Future population in 19 years = 900,000[1+7%]¹⁹

Future population in 19 years = 900,000[1+0.07]¹⁹

Future population in 19 years = 900,000[1.07]¹⁹

Future population in 19 years = 900,000[3.6162]

Future population in 19 years = 3,254,580

Future population in 19 years = 3,254,580 people (Approx.)

6 0

3 years ago

A large candy bar was 147 calories. The smaller candy bar has 29 percent less

harina [27]

104.37 , because if you do 147•29% it is equivalent to 42.63 and then if you do 147-42.63=104.37

5 0

3 years ago

Find the 12th term of the geometric sequence 5, 20, 80, ...

Greeley [361]

20971520

I did 4^11 x 5 (because you could say the first one is 5 x 1 and 4^0 = 1)

7 0

3 years ago

Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9}={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} A={1, 3, 4, 5, 7,

blagie [28]

Answer:

a) $A' = [0,2,6,8]$

b) $(AUB)' = [0,2,6]$

c) $(AUB')' = [9]$

d) A∩B′ $= [3,5,9]$

Step-by-step explanation:

Assuming this problem: "Let U= U= Universal set ={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} , A={1, 3, 4, 5, 7, 9} , and B={1, 4, 7, 8} . List the elemetns of the following sets in the increasing order: a) A′= b) (A∪B)′={ , , }} c) (A∪B′)′={ }} d) A∩B′={ , , }}"

Part a

For this case we just need to find the elements in the universal set that are not in A. And we see that:

$A' = [0,2,6,8]$

And that represent the complement for A

Part b

For this case we need to find first the Union AUB who are the elements on A or B without repetition and we got:

$AUB = [1,3,4,5,7,8,9]$

And now the complement for (AUB)' are the elements that are not in AUB but are on the universal set and we got:

$(AUB)' = [0,2,6]$

Part c

For this case we need to find B' who are the elements on the universal set that are not in B

$B' = [0,2,3,5,6,9]$

Then we can find the union between AUB' and we got:

$AUB' = [0,1,2,3,4,5,6,7,9]$

And then the complment is just:

$(AUB')' = [9]$

Part d

For this case we just need to see the elements in common between A and B' and we got:

A∩B′ $= [3,5,9]$

6 0

4 years ago

Find the percentage profit when a car was bought for 60,000k and sold for 140,000k.

Reil [10]

Step-by-step explanation:

profit = sold price - bought price

= 140,000 - 60,000 k

= 80,000 k

% profit = (80,000/60,000)×100

= 133.33 %

8 0

3 years ago