Answer: Interest = $5.25, balance = $5005.25
Step-by-step explanation: PLease mark as brainist
Find the modulus of the complex number 6-2i
Answer:
The modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Step-by-step explanation:
Given the number
[tex]6-2i[/tex]
We know that
[tex]z = x + iy[/tex]
where x and y are real and [tex]\sqrt{-1}=i[/tex]
The modulus or absolute value of z is:
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
Therefore, the modulus of [tex]6-2i[/tex] will be:
[tex]z=6-2i[/tex]
[tex]z=6+(-2)i[/tex]
[tex]|z|\:=\sqrt{x^2+y^2}[/tex]
[tex]|z|\:=\sqrt{6^2+\left(-2\right)^2}[/tex]
[tex]=\sqrt{6^2+2^2}[/tex]
[tex]=\sqrt{36+4}[/tex]
[tex]=\sqrt{40}[/tex]
[tex]=\sqrt{2^2}\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{2\cdot \:5}[/tex]
[tex]=2\sqrt{10}[/tex]
Therefore, the modulus of the complex number 6-2i is:
[tex]|z|\:=2\sqrt{10}[/tex]
Find the inequality represented by the graph
Answer:
y < 1/4x + 3
Step-by-step explanation:
the line is dotted so we know the symbol will not include the "equal to" part
we can also see that the shading in below the y intercept, so we know that the symbol will also be less than
this means the symbol is <
now, create an equation for the line:
we know that the y intercept is 3, and that there is a rise of 1 and a walk of 4
so the slope is 1/4
now put this together and you get 1/4x + 3
this part will go on the right side of the < symbol in your inequality
so now you can create an inequality: y < 1/4x + 3
Answer:
y < [tex]\frac{1}{4}[/tex] x + 3
Step-by-step explanation:
m = [tex]\frac{1}{4}[/tex] and coordinates of y-intercept are (0, 3)
y < [tex]\frac{1}{4}[/tex] x + 3
The line y−6=2(x+4) passes through which point?
A. (−4,−6)
B. (4,−6)
C. (−4,6)
D. (2,6)
show how u got it please lol
Answer:
4. (−4, 6), slope −2. eSolutions Manual - Powered by Cognero. Page 1. 4-2 Writing ... 4. (−4, 6), slope −2. SOLUTION: Find the y-intercept. Write the equation in ... Write an equation in slope-intercept form to find the total cost C for p people. b. ... b. Plot points and draw a line through them. c. Solve for G when t = 17.
A circular Park of radius 30m has a track of width 2.5m on its innet side.find the area of the track.
This is a pretty mathematical question, so I will answer it in pieces as I get the time to work it out. To find the time it takes to fall, you start with Newton's second law, ma=m[d2r/dt2]=-GMm/r2=dv/dt and integrate it once to get v=dr/dt=√[2GM(R-r)/(Rr)] where, for your question, R is the distance from the center of the earth to the point from which it was dropped, r is where it is at the time t(r), G is the universal gravitation constant, and M is the mass of the earth. (The mass m of the ship does not matter.) (You can more easily get v(r) from energy conservation.) Next integrate v(r)=dr/dt to get t(r)=-2.69x105{0.5tan-1((2x-1)/(2√[x(1-x)]-√[x(1-x)]-π/4} where x=r/R; this is not a simple integral to perform, but you can find good integrators on the web, for example Wolfram Alpha. Once you have gotten the indefinite integral you are not finished, you need to find the integration constant which will put the ship at rest at x=r/R=1; that is where the π/4 comes from. Putting in your numbers, I find t=4.22x105 s=117 hr=4.89 days. The figure shows the graph of t(x).
Step-by-step explanation:
mark upper one as brainliest
if 8 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
Step-by-step explanation:
8 litres of petrol cover's =60km
For 1km petrol required=8/60 litre
For 50 km petrol required=8x50/60 litre
=6.66 litre is the answer
Help me
Line ℓ is perpendicular to line m. Find the value of x and w.
how to graph y=-4x+2
Stores open at the craziest hours on Black Friday Some
even open for their big sale on Thanksgiving Read the
conversation below to figure out when coch store opens
and fill in the table with opening times below.
"It boks like we are going to have to start our shopping of ter
our Thanksgiving meal. Our guests are leaving at four pm, right
when Old Navy opens, and Toys R Us opens one hour later
"Okay, but we need to be at Best Buy to get the great deal on
that TV an hour later."
"But what about the cheap tool set at Target? They open at the
some tmeos Best Buy! We can't be in two ploces at once."
"Well, I saw that Lowe's has the same set for even cheaper, and
they open hours AFTER Target does. We will be able to get
some sleep bettre we head there!"
"Okay, two hours of ter Lowe's opens, we will head to Som's
Club and check out their great deals on cameras
"Sounds good. But an hour ofter Sam's opens, we need to be at
Gander Mountain Sports to buy that new jacket I wanti"
DAY OPEN
TIME OPEN
Thanksgiving 4:00 pm
OLD NAVY
GANDER MOUNTAIN SPORTS
TARGET
LOWE'S
5:00 am
TAVE DHE
Answer:
Happy Thanksgiving, my friends.
Step-by-step explanation:
What are the domain and range of the function below?
Answer:
Domain: all real numbers
Range: all real numbers greater than or equal to -2
Step-by-step explanation:
The domain is the set of x-coordinates.
It is the set of real numbers since x can be any real number.
The range is the set of y-coordinates.
The minimum value for y is -2. y can be -2 or any real number greater than -2.
Answer:
Domain: all real numbers
Range: all real numbers greater than or equal to -2
Answer:
C on Edge
Step-by-step explanation:
If Jack wants to retire with $1,000 per month, how much principal is necessary to generate this amount of monthly income if the interest rate is 6% compounded monthly?
Answer:
He needs to learn the disciplinary principal
Step-by-step explanation:
The principal is necessary to generate this amount of monthly income is $497.
Given that, Jack wants to retire with $1,000 per month.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]Amount=Principal(1+\frac{R}{100})^{nt}[/tex]
⇒ 1000 =P[tex](1+0.06)^{12}[/tex]
⇒ 1000=P×2.012
⇒ P=1000/2.012
⇒ P=$497
Hence, the principal is necessary to generate this amount of monthly income is $497.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
#SPJ2
Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 13 options: A) 8 B) 10 C) 1∕2 D) 6
Answer:
D) 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1/2, -8)
Point (-1/2, -2)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-1/2+1/2)^2+(-2+8)^2}[/tex]Add: [tex]d = \sqrt{(0)^2+(6)^2}[/tex]Exponents: [tex]d = \sqrt{0+36}[/tex]Add: [tex]d = \sqrt{36}[/tex]Evaluate: [tex]d = 6[/tex]What is the solution to this problem and what did he do wrong? 4(x + 2) = 2 (x – 3) – 5x
Answer:
-2
Step-by-step explanation:
Answer:
it is wrong because he forgot to subtract the 5x
Step-by-step explanation:
I think this right I really hope it is though :-)
Mr. Fink's economy car can travel 420 miles on a 12-gallon tank of gas. Determine how many miles he can travel on 8 gallons.
Answer:
280 miles
Step-by-step explanation:
So, 420 miles=12 gallons
That means that for 1 gallon you would be able to go 35 miles.
Just multiply that by 8. 35*8=280
Resolver esta ecuación
Answer:
Step-by-step explanation:
f(x)/g(x) = (x+6)/[(x+6)(x-6)]
Cancel (x+6)
Answer is 1/(x-6)
Please answer as soon as possible! Thanks
Transformation Questions)
Answer:
A = 1,1 ; 2,3 ; 5,3 ; 4,1 B = 1,-1 ; 2,-3 ; 5,-3 ; 4,-1please help:) please help:)
Answer:
Your answer is A) =
Step-by-step explanation:
100 - 2(20)
100 - 40 = 60
3(20) = 60
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
Find the number of groups and the number left over. 24 - 5 = with left over 24-5= with left over (Type whole numbers.)
Answer: 19 is my answer 19 is left over
What is x and y ?
I’ll give brainliest!
The options are on the side of the screen/triangle..
Answer:
I'm pretty sure x is 3
Step-by-step explanation:
Segment AB has endpoints with coordinates A: (-4, -7) and B: (8, -4). Determine the value of the x-coordinate of the interior point that separates Segment AB into lengths with a ratio of 8:5. Record answer to the nearest tenth.
Answer:
≈ 3.4
Step-by-step explanation:
Coordinates of the point that divide segment with endpoints A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] ) in a ratio a : b are
[tex]\frac{bx_{1} +ax_{2} }{a+b}[/tex] , [tex]\frac{by_{1} +ay_{2} }{a+b}[/tex] )
A(- 4, - 7)
B(8, - 4)
Ratio 8 : 5
x-coordinate is [tex]\frac{5(-4)+8(8)}{8+5}[/tex] = [tex]\frac{44}{13}[/tex] ≈ 3.4
Answer the question in the picture. Thanks!
Answer:
4+3x=9
Step-by-step explanation:
All of the other choices equal to 4x+12=9 except 4+3x.
Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5900 home
delivery subscribers. The number of subscribers increases by 66 every month. Write an equation that expresses the
number of subscribers B in terms of n, the number of months the paper has been printed.
B = 5900n + 66
c. B = 66n + 5900
b. B = 198n + 5900
d. B = 66n + 3
Answer:
c
Step-by-step explanation:
Answer:c
Step-by-step explanation:
A school librarian has enough money to order 8 paperback books at $155 each. If the librarian decided instead to
order books with hard covers at $188 each, how many books can the librarian buy?
hi
money he has : 155 *8 = 800 + 440 = 1240
SO 1240 / 188 ≈ 6.59
so answer is 6 as you cannot buy half books...
Answer: 6 hard cover books
Step-by-step explanation:
$155 x 8 =1,240
$188 x 6 = 1,128 which is as close as you can get without going over
magdalena creates the drawing shown of a rectangular field . (length : 7.2 cm and height : 3 cm)
she increases all the sides by a scale factor of 4 1/2. what is the area of the new figure?
Answer:56
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
which fraction is larger 1/4 or 2/5 find the common denominator
Answer:
2/5 and 20
Step-by-step explanation:
1/4 = 5/20
2/5 = 8/20
LCD = 20
Help DUE IN 30 MINUTES
simplify 8(x+3)^2/2(x+3)
Answer:
8
I sent you a photo so u understand how
The altitude to the hypotenuse of a right triangle divides the hypotenuse into two segments measuring 11 cm and 5 cm. To the nearest tenth, what is the length of the shorter leg of the triangle?
Answer:
8.4 cm
Step-by-step explanation:
Given that:
A right angled triangle, let [tex]\triangle ABD[/tex]. Right angled at [tex]\angle A[/tex].
Altitude AC to the hypotenuse BD.
Length of side BC = 5 cm
Length of side CD = 11 cm
We have to find the value of shorter leg of triangle. i.e. side AB = ?
Using the concept of similarity, we can say the following:
[tex]\dfrac{AB}{BC} = \dfrac{BD}{AB}\\\Rightarrow AB^2=BC.BD\\\Rightarrow AB^2=5\times (5+11)\\\Rightarrow AB^2=5\times 16\\\Rightarrow AB^2=80\\\Rightarrow AB=\sqrt{80}\\\Rightarrow \bold{AB\approx 8.4\ cm}[/tex]
The length of shorter leg of the triangle = 8.4 cm
on a baseball diamond, Tom, Jerry,and Mark are each standing at different corners. The distance be tween tom and Jerry is 30 feet. If we assume that the angle at Jerry is a right angle,what is the distance from tom to mark
9514 1404 393
Answer:
30√2 feet ≈ 42.4 feet
Step-by-step explanation:
If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...
the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet
The number of avocados ( a ) (a) a particular tree produces each year can be modeled by the function a ( y ) a(y). What does a ( 12 ) = 364 a(12)=364 mean?
Answer:
[tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.
Step-by-step explanation:
Let [tex]a[/tex] the number of avocados that a particular tree produces at a year. [tex]a(y)[/tex] is the number of avocados that a particular tree produces at y-th year. Hence, [tex]a(12) = 364[/tex] means that 364 avocados are produced by a particular tree at 12-th year.