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lukranit [14]
3 years ago
14

Simplify the expression below as much as possible. (8 + 5i) + (10 +6i) - (3 +61)

Mathematics
1 answer:
yarga [219]3 years ago
6 0
Answer is -46+11i
Because

Remove unnecessary parenthese
Then

When there is a in front of an expression in parentheses, the expression remains the same

Then

Add the numbers

Calculate the sum or difference

Collect like terms

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Step-by-step explanation:

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3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,
alina1380 [7]

Answer:

$138,345

Step-by-step explanation:

This is a compound decline problem, which will be solve by the compound formula:

F=P(1-r)^t

Where

F is the future value (value of house at 2030, 14 years from  2016)

P is the present value ($245,000)

r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)

t is the time in years (2016 to 2030 is 14 years, so t = 14)

We substitute the known values and find F:

F=P(1-r)^t\\F=245,000(1-0.04)^{14}\\F=245,000(0.96)^{14}F=138,344.96

Rounding it up, it will be worth around $138,345 at 2030

8 0
3 years ago
Of the 100 entries in a costume contest, 39 entrants were dressed as heroes and 45 entrants were wearing a mask. If 21 entrants
ehidna [41]

Correct question with correct options has been attached

Answer:

37

Step-by-step explanation:

Let C represent those dressed as heroes and let B represent those wearing mask

Thus;

n(C) = 39

n(D) = 45

We are told that 21 entrants were dressed as heroes wearing a mask.

Thus; n(C n D) = 21

We are also told that there were a total of 100 entries.

Thus, n(T) = 100

Now, number of entrants neither dressed as heroes nor wearing a mask is given by;

n(T) - n(C u D)

n(C u D) = n(C) + n(D) - n(C n D)

n(C u D) = 39 + 45 - 21

n(C u D) = 63

Thus;number of entrants neither dressed as heroes nor wearing a mask is: 100 - 63 = 37

3 0
3 years ago
PLEASE HELP REALLY QUICK I WILL REWARD BRAINLIEST PUT FULL EXPLANATION AND ANSWER TO THE QUESTION BELOW!!!!!!!!
Mariulka [41]

Answer:

x = 27

Step-by-step explanation:

36 + 90 + 2x = 180 \\ 126 + 2x = 180 \\ 2x = 180 - 126 \\ 2x = 54 \\  \\ x =  \frac{54}{2}  \\  \\ x = 27

I hope I helped you^_^

4 0
2 years ago
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