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ycow [4]
3 years ago
8

Multiply (2 – 7i)(–1 + 4i).

Mathematics
1 answer:
azamat3 years ago
5 0
(2 - 7i)(-1 + 4i)=-2+8i+7i+28=26+15i
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Olivia is cutting a 1 1/2 m by 3/4 m piece of rectangular paper into two pieces along its diagonal. Find the area
netineya [11]

Answer:

9/16 m.

Step-by-step explanation:

When you cut two pieces along its diagonal it causes it to be two congruent triangular pieces.

<em>You need to multiply the length and the width to find an area: </em>

1 1/2 × 3/4

<em>Now you need to change it into an improper fraction:</em>

1*2+1 = 2+1 = 3; this gives us 3/2:

3/2 × 3/4 = 9/8 = 1 1/8

<em>Dividing it by 2:</em>

9/8 ÷ 2

8 0
3 years ago
William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budge
erica [24]

The greatest number of people that William and Debra may invite and still stay within their budget is 63.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.

Budget = Total expenses

Budget = Reception hall Cleanup charge + $38 per person fee

Let the number of people invited to the party be represented by x,

$2,500 = $100 + $38(x)

2500 = 100 + 38x

2500 - 100 = 38x

2400 = 38x

x = 2400 / 38

x = 63.157 ≈ 63

Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.

Learn more about Equation here:

brainly.com/question/14686792

#SPJ1

5 0
1 year ago
I need this for my notes so i can know what to do. What is the length of AC? And Length of AB?
andre [41]

Answer:

AC 5

AB = 3

Step-by-step explanation:

AC = distance between the points

C-A = 3 - -2 = 3+2 = 5

The distance is 5

AB = distance between the points

B-A = 1 - -2 = 1+2 = 3

The distance is 3

8 0
3 years ago
Read 2 more answers
Annabella wants to make the most economical decision so she chose the 3-year car loan so that after the loan is paid off to be a
Novay_Z [31]

Answer:

  • Annabella will save $4950.11 after 2 years.

Step-by-step explanation:

<h3>Given</h3>

  • Periodic payment P = $200,
  • Period t = 2 years,
  • Number of compounds, monthly n = 12,
  • Interest rate, r = 3.2% = 0.032.

<h3>To find</h3>

  • Future value of saving, F

<h3>Solution</h3>

Use periodic compound formula:

F=P\cfrac{(1+r/n)^{nt}-1}{r/n}

Substitute the values and calculate:

F=200\cfrac{(1+0.032/12)^{12*2}-1}{0.032/12} =4950.12     rounded

6 0
1 year ago
Read 2 more answers
1. Three friends pooled their money to purchase a new game system that costs $298. One person
iragen [17]

Answer:

First person: $107

Second person: $98

Third person: $93

Step-by-step explanation:

Let be "f" the amount of money (in dollars) that the first person contributed to the purchase, "s" the amount of money (in dollars) that the second person contributed to the purchase and "t" the amount of money (in dollars) that the third person contributed to the purchase.

With the information given in the exercise, you can set up the following equations:

Equation 1 → f+s+t=298

Equation 2 → s=f-9

Equation 3 → t=f-14

Substitute the Equations 2 and 3 into the Equation 1 and then solve for "f":

f+(f-9)+(f-14)=298\\\\3f-23=298\\\\f=\frac{321}{3}\\\\f=107

Finally, substitute the value of "f" into the Equation 2 and then into the Equation 3, in order to find the values of "s" and "t".

Therefore, you get:

s=107-9\\\\s=98\\\\\\t=107-14\\\\t=93

5 0
3 years ago
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