The value of "i" squared results in:
(-1) = i²
What are numeric sets?Numerical sets are groupings of numerical values that have a particularity in common, they can be integers, decimals, fractions, among others.
Complex NumbersAmong the numerical sets there is one that we call complex numbers, which include values that are not real, such as "i" a letter that denotes that it is an imaginary number.
In function to this type of numbers there is a particular value and it is the "i" which is the result of the square root of -1, then we have:
√(-1) = i[√(-1)]² = i²(-1) = i²
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Riley invested $5,100 in an account paying an interest rate of 7\tfrac{3}{4}7 4 3 % compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of 7\tfrac{1}{4}7 4 1 % compounded daily. After 7 years, how much more money would Riley have in her account than Ryan, to the nearest dollar?
Answer: 257
257 in delta math
Step-by-step explanation:
After 7 years, Riley would $441.5 more have in her account than Ryan.
What is compound interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
Given that Riley invested $5,100 in an account paying an interest rate of [tex]7\tfrac{3}{4}[/tex]% compounded quarterly. Ryan invested $5,100 in an account paying an interest rate of [tex]7\tfrac{1}{4}[/tex] % compounded daily, we need to find that after 7 years how much more money would Riley have in her account than Ryan,
[tex]A = P(1+r/n)^{nt[/tex]
Where A = amount
P = principal
r = rate
n = number of times the amount is compounded and t = time
Riley = compounded quarterly,
[tex]A = P (1 + r / 4)^{4t[/tex]
[tex]A = 5100(1+0.019375)^{4(7)}\\\\A = 5100(1.019375)^{28}\\\\\\[/tex]
[tex]A = 8728.13[/tex]
Therefore, in 7 years Riley has $8728.13.
Ryan = compounded daily,
[tex]A = P (1 + r / 365)^{365t[/tex]
[tex]A = 5100(1 + 0.00019)^{356(7)}\\\\A = 5100(1.00019)^{2555}\\\\A = 8286.64[/tex]
Therefore, in 7 years Ryan has $8286.64.
Riley will have $441.5 more.
Hence after 7 years, Riley would $441.5 more have in her account than Ryan.
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someone please help me out on this problem
Answer:
[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=9
Step-by-step explanation:
the equation for graphed circles centered at (0, 0) is
[tex]x^{2}[/tex]+[tex]y^{2}[/tex]=[tex]r^{2}[/tex]
and 3 is r (the radius)
Help me please! This is due today!
Answer:
the question is fillped i can not see the questions
Step-by-step explanation:
NEED HELP PLEASE. NO LINKS OR U WILL B REPORTED. WILL GIVE POINTS AND THE BRAINLIEST. THANKS!!
In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in”, a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?
radius of a cone with a volume of 100.48 yds3 and a height of 6 yds
Answer:
r = 4
Step-by-step explanation:
Volume of a cone:
V = πr²(h/3)
Given:
V = 100.48
h = 6
π = 3.14
Work:
V = πr²(h/3)
100.48 = r²(3.14)(6/3)
100.48 = r²(3.14)(2)
100.48 = r²6.28
r² = 100.48/6.28
r² = 16
[tex]\sqrt{r^2} =\sqrt{16}[/tex]
r = 4
Expand and simplify 4(2x+3)-(5x-1)
Hong reads 7 1/2 chapters in 3 1/8 hours.
Match each value to the correct expression.
Answer:
1. 27
2. 27
3. 15
Step-by-step explanation:
The solution of the the given three expressions are 27, 22, and 15, respectively.
What is PEMDAS?PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.
The given mathematical expressions can be solved as shown below.
1 + 5 · 2 + (1 + 3)²Step1: Solving Parenthesis first,
= 1 + 5 · 2 + (4)²
Step2: Exponents,
= 1 + 5 · 2 + 16
Step3: Multiplication,
= 1 + 10 + 16
Step4: Addition,
= 27
4 + 8[(1/4) + 2]Step1: Parenthesis
= 4 + 8(2.25)
Step2: Multiplication,
= 4 + 18
Step3: Addition,
= 22
0.25 · 4³ - 1Step1: Exponents,
= 0.25 · 64 - 1
Step2: Multiplication,
= 16 - 1
Step3: Subtraction,
= 15
Hence, the solution of the the given three expressions are 27, 22, and 15, respectively.
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Pls help me, and do not send links. Thanks
i uploaded a vid on this here
https://www.you tube.com/watch?v=dQw4w9WgXcQ
An archeologist used the functions below to model the changing populations of two ancient cities as they grew in size. Compare the populations by finding and interpreting the average rates of change over the interval [0,40].
Answer:
The answer is "6.3 and 5.25"
Step-by-step explanation:
Please find the complete question in the attached file.
Throghout the question the calculated points are:
[tex](0,0) , \ \ (40,252) \\(0,0) , \ \ (40,210) \\[/tex]
Formula for Calculating slope:
[tex]M=\frac{y_2-y_1}{x_2-x_1}[/tex]
For First point slope:
[tex]M=\frac{252-0}{40-0}=\frac{252}{40}= 6.3 \ \frac{people}{mi^2}[/tex]
For second point slope: [tex]M=\frac{210-0}{40-0}=\frac{210}{40}=\frac{21}{4}= 5.25 \ \frac{people}{mi^2}[/tex]
Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answer:
£1067.22
Step-by-step explanation:
A = P(1 + rt)
A = £990(1 + 0.026*3)
A = £1067.22
Mark brainliest if this helped!
Mark brainliest if this helped!
i need help asap pls and no links
Answer:
D
Step-by-step explanation:
I took chemistry so I know
A line passes through the points (-1, 4) and (3, -8). A second line passes through
(-1,8) and (2, 11).
A) Write the equation of each line. Show all work.
Answer:
y = -3x + 1, y = x + 9
Step-by-step explanation:
An equation consists of a slope and the y-intercept. To find the slope, you need to plug the values into the slope formula.
y2 - y1/ x2 - x1
= -8 - 4/ 3 - (-1)
= -12/ 4
= -3
The slope of the first line is -3.
To find the y-intercept, you need to plug in either one of the coordinates into the equation, y = -3x + b
-8 = -3(3) + b
-8 = -9 + b
1 = b
The equation, for the first one, is y = -3x + 1
Line 2:
11 - 8/ 2 - (-1)
= 1
y = 1x + b
11 = 1(2) + b
11 = 2 + b
9 = b
y = x + 9
Which table has a constant of proportionality between y and 2 of 0.6?
Choose 1 answer:
7/15 multiplied by 5/6
Answer:
The answer will be 35/36
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
Find the length of a diagonal of a square with a side of 10. Round your answer to the nearest hundredth.
The point (3,2) reflected in the x-axis is (
,
).
Question 2
b. Reflect (3,2) in the y-axis.
The point (3,2) reflected in the y-axis is (
,
).
Answer:
the answers below:
1: (3,-2)
2: ( -3,2)
Which is NOT true? 5 + 14 = 20 - 1 9 + 5 = 7 + 7 15 = 4 + 11 15 - 9 = 9 - 4
Answer:
5+14=20 is not true
Step-by-step explanation:
5+14=19 not 20
Answer:
5+14=20 is not true
Step-by-step explanation:
5+14=20 is not true
find the slope-intercept equation of the line that passes through (-7,2) and had a slope of 0
Answer: Y=0x+b
Step-by-step explanation:
Y=mx+b is what we need to set it to.
Since we already know the slope, we can go ahead and find the y-intercept to complete the equation
(-7,2), here -7 is the x and 2 is the y value
y=mx+b
plug all the known information now and solve for b (y-intercept)
y is 2, m (slope) is 0, x is -7
2=0(-7)+b
2=0+b
2=b
y=0x+2 or simply y=2
Answer:
y = 2
Step-by-step explanation:
The line is a horizontal line thru (-7, 2)
Equation: y = 2
find the missing number in each below
1. (8+9)+10=8+(_+10)
2. 46+(_+4)=46+4)+50
3. 2,345=1900+_145
4. 12x(8+_)=12x8+12x2
5. 4x9=12x_=36
6. (8x5)x3=8x(5x_)
pasagot po plss
8 2/3 + (-2 1/12)=
what would that be
Answer:
307/12
(Decimal: 25.583333)
Step-by-step explanation:
Heart if this helped
PLZZ HELPPPP?!?!?!??!?!?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the perimeter of a room with a length of 28 ft. and a width of 19 ft.
Answer:
98 ft
Step-by-step explanation:
28x2 + 19x2
=98
Answer:
Is the room a rectangle size? If so:
28 + 28 = 56
19 + 19 = 38
56 + 38 = 94 ft.
Opposite sides are parallel and equal:
therefore whenever there is two given lengths make sure to multiply them two times then add them together if only its a rectangle.
if its a square make sure to multiply the given length 4 times.
khan academy - 6th grade advanced
Answer:
its b
Step-by-step explanation:
Help me solve this pls!!
5+ 8 x-3=
Find the measure of the angle indicated
72⁰
HOPE IT HELPS YOU THANK YOU ☺
Answer:
37 degree
Step-by-step explanation:
RQS is suspened by arcRS
RQS=1/2(RS)
RQS=1/2(74)
RQS=37
I need help on this now. Please.
Answer:
science is the answer
Step-by-step explanation:
becuse
Answer:
She answered fastest in social studies.
Step-by-step explanation:
Hope that helps
A tourist standing on the New York City coast sees the Statue of Liberty, which is 305 feet tall. She must tilt her head 9 degrees upwards to look at its head. How far away is she from the base of the statue? Round your answer to the nearest whole foot.
Given:
Height of the Statue of Liberty = 305 feet
Angle of elevation = 9 degrees
To find:
The between the tourist and the Statue of Liberty.
Solution:
Using the given information, draw a figure as shown below.
In a right triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In the triangle ABC,
[tex]\tan 9^\circ=\dfrac{305}{x}[/tex]
[tex]x=\dfrac{305}{\tan 9^\circ}[/tex]
[tex]x=1925.6942[/tex]
[tex]x\approx 1926[/tex]
Therefore, the tourist is standing 1926 feet from the Statue of Liberty.
If a / b = 2 / 5 , then , b / a = 5 / 2
True
False
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
please please help it's timed!
determine the value of y, if x is 7.
[tex]y=x^2-1[/tex]
Answer:
y = 48
Step-by-step explanation:
Plug in 7 for x:
y = x² - 1
y = (7)² - 1
Simplify. Remember to follow the order of operations, PEMDAS.
PEMDAS stands for:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
~
First, solve the power, then subtract:
y = (7)² - 1
y = (7 * 7) - 1
y = (49) - 1
y = 48
48 is your value for y.
~