Answer:
[tex]i\sqrt4 ~ \text{and} ~ 2i[/tex]
Step-by-step explanation:
[tex]\sqrt{-4}\\\\=\sqrt{-1} \sqrt4\\\\=i\sqrt4\\\\=2i[/tex]
Find the roots of the equation: y^2-1/16=0
Answer:
1/4, -1/4
Step-by-step explanation:
Simply solve for y
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3. 5% every year. If Tammy sells her home after thirteen years, how much profit will she have made, to the nearest hundred dollars? a. $8,500 b. $87,800 c. $83,700 d. $103,800.
The profit to be made when she sells the house is $103,800.
The first step is to determine the value of Tammy's house in 13 years. The formula to be used is:
FV = P (1 + r)^n FV = Future value P = Present value R = interest rate N = number of years$184,000 x (1.035)^13 = $287,767.92
Profit = value of the house in 13 years - cost of the house
$287,767.92 - $184,000 = 103,767 = $103,800
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. Mahesh worked in a firm for a certain number of years which equals
the sum of degrees of + − +
and
+
+ . Find the number of years he worked.
The sum of numbers or expression involves adding the expressions and the numbers together.
Assume that the sum of the degrees is given as:
[tex]Sum = 3 + 4 - 2 + 1[/tex]
The above sum can be rewritten as:
[tex]Sum = 3 + 4 +(- 2) + 1[/tex]
Take the sum of all the numbers (including -2 in bracket)
[tex]Sum = 6[/tex]
If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6
Read more about sum at:
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Find the amount paid for the loan. $4,800 at 9.9% for 4 years
Answer:
the amount paid for the loan would be $6700.80
A shopkeeper orders a special brand of coffee powder to be delivered to
him. A packet of this coffee powder cost $2. These packets are packed into
containers which cost $3 each. Each container can hold 30 packets. A van
delivers 60 containers of this coffee powder to the shop and charges $20 for
transport, How much does the shopkeeper pay altogether?
Answer:
$3800
Step-by-step explanation:
30 x 2 = 60
60 + 3 = one container
60 containers = 63 x 60
3780 + 20
3800
Janie flips a coin 70 times and records if it comes up heads. If getting heads is a success, what is the probability of a failure? 0. 2 0. 5 0. 7 1. 0.
The probability of a failure is 0.5
Probability is the likelihood or chance that an event will occur.Probability = Expected outcome/Total outcomeSince Janie flips a coin 70 times, then the total outcome is 70
The probability of getting a failure will be 50% of the total times;
Expected outcome = 50% of 70
Expected outcome = 35
Pr(a failure) = 35/70
Pr(a failure) = 0.5
Hence the probability of a failure is 0.5
Learn more on probability here: https://brainly.com/question/22664861
Pls I need help quickly!
Mindy owns 20 pairs of shoes and every week she purchases two more pairs. How long will it take for her closet to have 50 pairs of shoes?
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
Mindy claims 20 sets of shoes and consistently she buys two additional matches.
The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,
aₙ = a₁ + nd
aₙ = 20 + 2n
The number of weeks is given as,
50 = 20 + 2n
50 = 20 + 2n
50 = 20 + 2n
Simplify the equation, then we have
2n = 50 - 20
2n = 30
n = 30 / 2
n = 15
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
More about the arithmetic sequence link is given below.
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Change 7 1/4 to an improper fraction
Answer:
29/4
Step-by-step explanation:
7 x 4 = 28
28 + 1
hope that helps!
Answer:
29/4
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
4 × 7 = 28
Step 2
Add the answer from Step 1 to the numerator
28 + 1 = 29
Step 3
Write answer from Step 2 over the denominator
29/4
Hope this helps!:)
Find the area of the figure.
triangle with base 18 in. and height 13 in.
The area of this triangle is
is
Answer:
117 square inches
Step-by-step explanation:
234/2
Answer:
A = 117 in²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 18 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 18 × 13 = 9 × 13 = 117 in²
what is the constant for 1000z + 800y
Answer:
No
Step-by-step explanation: they're is no constants they are both coeffitient because they are both numbers infront of the variable
Help ASAP pleaseee
A line passes through the points (-4,1) and (-3,3) this line can be modeled by the equation y=mx+b
What is the values of m and b?
Answer:
2/1=2
Step-by-step explanation:
y=mx+b= 2
3-1=2
-3-(-4)=1
2/1=2
Answer:
m = 2 and b = 9
Step-by-step explanation:
i think yes, bc the equation is y = 2x + 9
In triangle cyz angle x=135 degrees y=21 degrees and z=4. Find side x to one decimal place.
I don't know the answer to this question but I thought I learned algebra so my friend asked me what y=mx+b was and I said it was a curved line. am i correct?
PLEASE HELP I BEG IMMA FAILLLLLLLLL
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?
Answer:
2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10
Hope I Helped You:)
Q7 AND Q8 solve in full steps
Answer:
Steps in the picture
Hope it helps
A math club prints t-shirts for its members. Each shirt costs $7. Each print on the front is $2 and each print on the back is $2.50 write an equation that represents the cost of a short, C, if f represents the front print, and b represents the back print
Answer:
Step-by-step explanation:
1. 7$ for Each Shirt 2$ is for the Print $2.50 is the cost of back
1. (7x2x2.50) ---All Multiplication
2. Answer 35.00
Breakdown
$7.00 Mulltiplied by 2 which gives you $14.00
Then you multiply it by $2.50
Which Gives you $35.00
Plzzzz help meeeeee plzzzzzzz
the answer is 120 because if you multiply 0.40 aka 40% by 300 you will get 120
Answer:
120
Step-by-step explanation:
To find the answer, multiply 300 with 0.40
To confirm this answer, divide 120 by 0.40
A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 centimeters.
What is the volume of the tube?
A
400pi cubic centimeters
B
800pi cubic centimeters
C
1, 600pi cubic centimeters
D
6, 400pi cubic centimeters
Answer:
Option C
Step-by-step explanation:
Radius = D/2
=> 8/2 => 4 cm
Volume = πr²h
=> π × (4)² × 100
=> 16π × 100
=> 1600π cm³
3x + y =4 in standard form
Answer:
3x+y=4
Explanation:
Standard form is Ax + By = C
Find the measure of midsegment EF.
Answer:
29 units
Step-by-step explanation:
The midsegment of a trapezoid is the average of the top and bottom sides.
(25+33)/2 = 29
Answer:
measure of midsegment EF is 29
Step-by-step explanation:
basically just find the average of the two numbers
25+33/2 = 29
Angle 2 is 2x+10 angle 4 is 4x+80 solve for x
Answer:
15
Step-by-step explanation:
Angle 2 is 2x+10
angle 4 is 4x+80
and from the figure we can understand that when we add these 2 equations
We get
6x+ 90= 180
6x = 180 - 90= 90
6x= 90
x = 90 ÷ 6 = 15
answer = 15
A roller coaster can acommodate 150 people in 10 minutes How many people could ride the rolloer coaster in 25 minutes?
Answer:
375
Step-by-step explanation:
150 x 2= 300 -Thats for the 20 minutes
And 150 divided by 2 = 75= Thats for the addtional 5 minutes
A bookshelf has 7 shelves, each measuring 4 feet 3 inches in length.
The average width of a book is 3/4 inch. How many books will the
shelves hold?
The square root of pie must be at less ten numbers long
The square root of pi is 1.77245385091.
the total surface area of a cube is 384cm3 the length of the edge of the cube is?
Solving for a
[tex]a = \sqrt{ \frac{A}{6} } \\ = \sqrt{ \frac{384}{6} } \\ = 8cm[/tex]Write an inequality that represents the graph
Answer:
y<=-1/2x-2
Step-by-step explanation:
A town of population 25,000 grows at a constant rate of 1500 people every year. Find the population after 5 years
40,000
32,500
35,000
32,000
HELPP
There are 17 boys and 15 girls in a math class. The teacher is selecting 5 students to represent the school on the student advisory council.
Determine the probability, to the nearest hundredth, that exactly 3 boys will be selected.
last question on the page answer correctly or don't answer at all please because this is an annoying question
Convert 324ten to base two
Converted using rapidtables.