The answer is: [A]: He did not apply the distributive property correctly for 4(1 + 3i) .
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Explanation:
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Note the distributive property of multiplication:
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a*(b+c) = ab + ac.
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As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
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Instead, Donte somehow incorrectly calculated:
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4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);
Note: - (8 - 5i) = -8 + 5i (done correctly;
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So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
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4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
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This corresponds to: "Answer choice: [A]: <span>He did not apply the distributive property correctly for 4(1 + 3i)."
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Answer:I think it's 3 7.75/20 hours
Step-by-step explanation:
Multiply 2/15 by 20 (2x20 and 15x20)
Then 13/20 by 15 (13x15 and 20x15)
Subtract (195/300 - 40/300)
And you get 155/300
Then divide by 20 because dividing by 15 gives you 10.333333
So divide 155/300 by 20 (155÷20 and 300÷20)
And you get 7.75/20
Finally subtract the 2 hours from 5 hours and get 3 hours
Your answer is 3 7.75 hours
Answer: the amount of interest after 3 years is $60
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount of money deposited.
P represents the principal or amount of money deposited.
R represents interest rate on the deposit.
T represents the duration of the deposit in years.
From the information given,
P = $500
R = 4%
T = 3 years
Therefore,
I = (500 × 4 × 3)/100
I = $60
REQUIRED CHART :
The required chart has been attached
Answer:
31.8%
30.0%
Step-by-step explanation:
Required :
To obtain the Difference between Sweden and United States high and medium categories to the nearest %
Sweden :
High category = $23.51
Medium category = $15.73
United States :
High category = $34.48
Medium category = $22.46
Percentage Difference :
High category : (34.48 - 23.51) / 34.48 * 100% = 31.8%
Medium category : (22.46 - 15.73) / 22.46 * 100% = 29.96% = 30.0%
Answer:
m∠E = 38.7°
Step-by-step explanation:
If you make a drawing it will help. What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.
The cosine of a angle = adjacent side/hypotenuse.
Therefore cos E = 32/41
arccos (32/41) = 38.7°
