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3 years ago

Perform the indicated operation and write the result in the form a + bi i^100

Mathematics

1 answer:

alexdok [17]3 years ago

8 0

$i^{100}=i^{4\cdot25}=\left(i^4\right)^{25}$

Recall that $i^4=1$ , since $i^2=-1$ . Then

$i^{100}=1^{25}=1$

so that in the form $a+bi$ , we have $a=1$ and $b=0$ .

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A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?

xz_007 [3.2K]

Answer: The correct answer is Choice D.

If 24 percent of the snack mix is pretzel, we simply need to multiply the total number of ounces by 0.24.

0.24 x 32 = 7.68

7.68 ounces of the snack mix will be pretzels.

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3 years ago

Read 2 more answers

If 8 boxes of crayons cost $20 , what would 6 boxes cost ?

Y_Kistochka [10]

Answer:

$15

Step-by-step explanation:

To figure thsi out, you do 20 divided by 8, which gives you 2.5 ($2.50.)

Next you do 2.50 x 6 which gives you 15 ($15.)

The answer is $15.

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2 years ago

You know that the Customer Acquisition Cost is the cost associated with convincing a customer to buy a good or service. It inclu

kozerog [31]

Answer:

The Customer Acquisition Cost for each customer in demographic group 1

The correct option is c

The Customer Acquisition Cost for Group 2

The correct option is b

Step-by-step explanation:

From the question we are told that

The marketing expenses per month for targeting the first group is $E = \$ 30,000$

The marketing expenses per month for targeting the second group is $F = \$ 60,000$

The number of customers for the demography of group 1 that will be attracted is N = 1000

The number of customers for the demography of group 2 that will be attracted is M = 1500

Generally the customer acquisition cost for group 1 is

$K = \frac{E}{ N}$

=> $K = \frac{30000}{ 1000}$

=> $K = \$ 30$

Generally the customer acquisition cost for group 2 is

$Z = \frac{F}{ M}$

=> $Z = \frac{60000}{ 1500}$

=> $Z = \$ 40$

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3 years ago

If the total cost plus shipping is greater than $35,then you receive a 10% discount off the original selling price. Do you quali

RUDIKE [14]

It's not clear what is the specific requirement of the question, but I'll assume a couple of situations to help you with your real problem.

Answer:

$45 (qualified)

$30 (did not qualify)

Step-by-step explanation:

Percentage Calculations

Relative quantities are usually expressed as percentages (%). We say x percent of y is the proportion xy/100. When discounts or surcharges are applied, they are subtracted or added to the original quantity.

The question explains I receive a 10% discount off the original selling price if the total cost plus shipping is greater than $35. Let's assume the total cost plus shipping is $50. Since it's greater than $35, it qualifies for a discount. The discount is 10% of $50 = (10)(50)/100= $5. So the new total cost will be $50 - $5 = $45

Let's suppose now the total cost+shipping is $30. Since it's not greater than $35, no discount will be applied and we have to pay $30

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3 years ago

What are the remaining angle measures if the figure is to be a parallelogram?

Kobotan [32]

Answer:

We conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

Step-by-step explanation:

Given the parallelogram ABCD

We know that a parallelogram has opposite angles that are congruent.

Here,

The angles ∠A and ∠C are opposite angles.

Thus,

∠A = ∠C

The angles ∠B and ∠D are opposite angles.

Thus,

∠B = ∠D

Determining the measure of angles of a parallelogram:

∠A = 79°

We know

∠A = ∠C

Thus, the measure of the angle ∠C is:

m∠C = 79°

We know that the sum of the measure of two consecutive angles is 180°.

As ∠A and ∠D are consecutive angles, so

∠A + ∠D = 180°

substituting ∠A = 79° in the equation

79° + ∠D = 180°

subtracting 79° from both sides

79° + ∠D - 79° = 180° - 79°

∠D = 101°

Thus, the measure of the angle D is:

m∠D = 101°

We know that the angles ∠B and ∠D are opposite angles.

Thus,

∠B = ∠D

so if m∠D = 101° then ∠B is also 101°.

Therefore, the measure of angle B is:

m∠B = 101°

Hence, we conclude that:

m∠B = 101°

m∠C = 79°

m∠D = 101°

7 0

2 years ago