Answer:
Amount after 8 month (A) = $3775 (Approx)
Step-by-step explanation:
Given:
Amount invested (P) = $3,700
Rate of interest (r) = 3% = 0.03 / 12 = 0.0025 monthly
Number of month (n) = 8 month
Find:
Amount after 8 month (A)
Computation:
[tex]A=P(1+r)^n\\\\ A=3700(1+0.0025)^8\\\\A=3700(1.02017588)\\\\ A = 3774.650676[/tex]
Amount after 8 month (A) = $3775 (Approx)
Find the equation of the line with a slope of − 1/2 through (4, 5)
Answer: Hello:
Slope - intercept form is y = mx + b.
Since -1/2 is your slope and 5 is your y - intercept, all you need to do is substitute those values into the equation:
y = -1/2 + 5
Hope this helps!
Given that p=x^2-y^2/x^2+xy
I. Express p in the simplest form
ii. Find the value of p, if x=-4 and y=-6
Answer:
When x = -4 and y = -6, p = 37.75
Step-by-step explanation:
Given that p = x² - y²/x² + x·y, we have;
p = (x² × x² -y² + x·y×x²)/x²
p = (x²⁺² - y² + x¹⁺² × y)/x²
p = (x⁴ - y² + x³·y)/x²
Therefore, p in the simplest form is given as follows;
[tex]p = \dfrac{x^4 - y^2 + x^3 \cdot y }{x^2}[/tex]
To find the value of p when x = -4 and y = -6, we plug in the value of x and y into the above equation to get the following equation;
[tex]p = \dfrac{(-4)^4 - (-6)^2 + (-4)^3 \cdot (-6) }{(-4)^2} = 37.75[/tex]
Therefore, the value of p when x = -4 and y = -6 is equal to 37.75.
cuantos son 4 elevado a 4???
Answer:Answer and Explanation:
When a number is said to be 'to the fourth power,' that just means that you need to multiply the number by itself four times. For example, 7 to the...
Step-by-step explanation:
Simplify 3(2x - 5). 1)-6x - 15 2) 6x - 15 3) 6x - 8 4) 5x - 2
Answer:
[tex] \boxed{ \bold{ \: 6x - 15}}[/tex]Option B is the correct option.
Step-by-step explanation:
[tex] \mathsf{3(2x - 5)}[/tex]
Distribute 3 through the parentheses
⇒[tex] \mathsf{3 \times 2x - 3 \times 5}[/tex]
Calculate the product
⇒[tex]6x - 15[/tex]
Hope I helped!
Best regards!!
PLEASE HELP
You have to create 3 functions to make hills on a grap
Requirements are in the photo.
(ignore graphs)
4. Write equations for three hills that do meet the requirements. Sketch them on one axis. (For the
purposes of this exercise, this is a sketch, so the steepness and minimums and maximums of the
graphs do not need to be exact). (6 points: 1 point for each equation, 1 point for each sketched curve)
Answer:
Hill 1: F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 2: F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 3: F(x) = 4(x - 2)(x + 5)
Step-by-step explanation:
Hill 1
You must go up and down to make a peak, so your function must cross the x-axis six times. You need six zeros.
Also, the end behaviour must have F(x) ⟶ -∞ as x ⟶ -∞ and F(x) ⟶ -∞ as x⟶ ∞. You need a negative sign in front of the binomials.
One possibility is
F(x) = -(x + 4)(x + 3)(x + 1)(x - 1)(x - 3)(x - 4)
Hill 2
Multiplying the polynomial by -½ makes the slopes shallower. You must multiply by -2 to make them steeper. Of course, flipping the hills converts them into valleys.
Adding 3 to a function shifts it up three units. To shift it three units to the right, you must subtract 3 from each value of x.
The transformed function should be
F(x) = -2(x +1)(x)(x -2)(x -3)(x - 6)(x - 7)
Hill 3
To make a shallow parabola, you must divide it by a number. The factor should be ¼, not 4.
The zeroes of your picture run from -4 to +7.
One of the zeros of your parabola is +5 (2 less than 7).
Rather than put the other zero at ½, I would put it at (2 more than -4) to make the parabola cover the picture more evenly.
The function could be
F(x) = ¼(x - 2)(x + 5).
In the image below, Hill 1 is red, Hill 2 is blue, and Hill 3 is the shallow black parabola.
This event is independent, true or false?
You roll a fair six-sided die twice. The first roll show a three and the second roll shows a four.
True
False
Answer:
This event is independent this statement is true because we cannot control the motion of a dice.
Step-by-step explanation:
Hope it will help you :)
Answer:I'm pretty sure it's independent
Which theorem or postulate proves the two triangles are similar?
AA Postulate
SSS Theorem
AS Postulate
SAS Theorem
Answer:
AA Postulate
Step-by-step explanation:
The bottom lines are parallel. In this case they are also congruent. Combined with the top angle this makes in AA postulate
how many five card hands that contain all 4 aces can be dealt from a standard pack of 52 cards
Answer:
48
Step-by-step explanation:
52-4=48
hope this helps
jack has 13 lengths of rope. Each is 6 3/4 meters long. How much rope does Jack have to divide amond 20 people
Hey there! I'm happy to help!
First we multiply the the length of each length of rope by the number of lengths of rope (try saying that five times fast).
6 3/4×13=87 3/4
Now, we divide this by 20 to see how much rope each person gets.
87 3/4÷20= 4 31/80
Therefore, each person has 4 31/80 or 4.3875 meters of rope.
I hope that this helps! Have a wonderful day! :D
Find the mode for the data set 18 24 24 24 25 37 37 46
Answer:
the mode would be 24
Step-by-step explanation:
it is what numbers appears most often
I NEED HELP ASAP FOR THIS MATH QUESTION
Answer:
The answer is C.
Step-by-step explanation:
First, you want to isolate the variable you are look for, 'l'. First subtract [pi]L from both sides. Then subtract S from both sides.
-[pi]L+S=[pi]r(superscript)2 ->
-[pi]L=[pi]r(superscript)2-S
Now, since you have your variable 'l', you want to remove the [pi] away from your variable. To do this, multiply by negative 1 divided by pi, or -1/[pi].
L=S-r(superscript)2.
Therefore, the answer is C.
Answer:
C
Step-by-step explanation:
[tex]s = \pi .l \: + \pi. {r}^{2} [/tex]
Make the term including 'l' stand alone.
[tex]s - \pi. {r }^{2} = \pi.l[/tex]
Now make L stand alone by dividing through by pi.
[tex] \frac{s - \pi. {r}^{2} }{\pi} = l[/tex]
This is the same as
[tex] \frac{s}{\pi} - {r}^{2} = l[/tex]
math now..!! Help..?
Answer:
2p + 12
2 (p = +6) + 12 = 20
Answer:
I think its 6
Step-by-step explanation:
because you have to add 9 and 3 together then you get 12 and you have to divide 2p with 12 and you'll get 6
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
Answer:
[tex]y = \frac{-3}{4}x + 36[/tex]
Step-by-step explanation:
Data provided in the question
Height = 36 inches
Stant of the stairs followed that declines 9 inches for every 12 horizontal inches
Height = x
x = from top of the stairs
based on the above information
Therefore the change in rate is
[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]
It depicts the line sloping.
Now the function would be determined by the line equation which is as follows
y = mx+c
[tex]m = \frac{-3}{4}[/tex]
where,
c = 36 inches
So, the function is
[tex]y = \frac{-3}{4}x + 36[/tex]
Answer:
Answer is A
Step-by-step explanation:
9=m/3=4 please help!!
Answer:
Step-by-step explanation:
9 = m/3 + 4
5 = m/3
m = 15
Answer: m=15
Step-by-step explanation:
[tex]9=\frac{m}{3}+4[/tex]
subtract 4 on both sides
[tex]\frac{m}{3}+4-4=9-4[/tex]
[tex]\frac{m}{3}=5[/tex]
multiply 3 on both sides
[tex]\frac{3m}{3}=5\cdot \:3[/tex]
[tex]m=15[/tex]
if f(x)=x-6 and g(x)=x^1/2(x+3), find g(x) X f(x)
Answer:
[tex]\bold{f(x)\cdot g(x)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12}[/tex]
Step-by-step explanation:
[tex]f(x)=x-6\ ,\qquad g(x)=\big x^\frac12(x+3)\\\\\\f(x)\cdot g(x)=(x-6)\cdot\big x^\frac12(x+3)=\big x^\frac12(x^2-3x-18)=\big x^\frac52-3\big x^\frac32-18\big x^\frac12[/tex]
Anyone want to help...?
Answer:
-1
Step-by-step explanation:
3/2 * (-22/33)
Simplify by dividing the second fraction by 11
3/2 * (-2/3)
Rewriting
3/3 * (-2/2)
-1/1
Answer:
-1
Step-by-step explanation:
(a/b)(c/d) = (a*c)(
(3/2)(-22/33)
(3*-22)/(2*33) = -66/66 = -1
A sequence of transformations is described below. A reflection over a line \overleftrightarrow{PQ} PQ P, Q, with, \overleftrightarrow, on top A rotation about the point PPP Another reflection over \overleftrightarrow{PQ} PQ P, Q, with, \overleftrightarrow, on top A rotation about the point QQQ Which of the following must be preserved under this sequence of transformations? Choose 1 answer: Choose 1 answer: (Choice A) A Angle measures only (Choice B) B Segment lengths only (Choice C) C Both angle measures and segment lengths (Choice D) D Neither angle measures nor segment lengths
Answer:
The correct option is;
(Choice C) Both angle measures and segment lengths
Step-by-step explanation:
The given transformations are;
The reflection over the line, [tex]\overleftrightarrow{PQ}[/tex], with, A rotation about the point P. Another reflection over [tex]\overleftrightarrow{PQ}[/tex]. A rotation about the point Q, we have;
The transformations involve changes only in the orientation and location of the pre-image, which remain rigid, therefore, there are no changes in the segment lengths or angle dimensions
Therefore, the correct option is, both angle measures and segment lengths.
(Choice C) C Both angle measures and segment lengths
What is remainder when f(x) is divided by (x-a)
By the polynomial remainder theorem the remainder is equal to [tex]f(a)[/tex]
If you invest $600 at 5% interest compounded cptinuously, how much would you make after 6 years?
Answer:
180
Step-by-step explanation:
1) 600 % 100 = 6 (to get 1% of 600)
2) 6 x 5 = 30 (to get 5% pf 600)
3) 30 x 6 =180 (to get the amount of profit per the 6 years)
please give brainliest if this helps
Solve for 'x' in both of the following problems. Show all your work/explanations on your own paper and then submit a picture of your work and answers in the dropbox below.
Answer/Step-by-step explanation:
1. <B is an inscribed angle in a circle which intercepts arc AC.
Therefore, m<B = ½ of m<AC
B = ½ * 128° = 64°
x = 180 - (64 + 43)
x = 180 - 107 = 73°
2. The circle given shows two chords intersecting at point H.
According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.
Therefore,
[tex] 10*x = 14*5 [/tex]
Solve for x
[tex] 10x = 70 [/tex]
Divide both sides by 10
[tex] x = 7 [/tex]
a 6 meter pole is supported by guy wires that are anchord to the ground as shown. what is sin d?
Answer:
6/6.71
Step-by-step explanation:
If you are given a 6-meter pole that is supported by guy wires that are anchored to the ground, you can create a relationship with respect to sin theta. sin theta is equal to the 6 meters over the slant line supported by the pole. as shown.
Tony owns a shop that sells mobile phones and laptops. The retail price of a mobile phone is $240, and it will include a sales tax of 15% on the retail price. If the shop owner offers a discount of $46 off the final price including the sales tax, what is the percent decrease for the price of the mobile phone? A 20% B 15% C 19.17% D 16.67%
Answer:
Percent decrease in mobile = 19.17 % (Approx)
Step-by-step explanation:
Given:
Retail price of mobile phone = $240
Sales tax = 15% on retail value
Total discount including sales tax = $46
Find:
Percent decrease in mobile
Computation:
Cost of mobile = $240(85/100)
Cost of mobile = $204
Percent decrease in mobile = [$46 - 15%]204
Percent decrease in mobile = 19.17 % (Approx)
Question
0
Which angle between 90 and 270 has the same sine value as 60°?
Which angle between –180° and 0 has the same cosine value as 290°?
degrees
Answer:
(i) 120°
Step-by-step explanation:
(i)
sine 90 = 1
sine 120 = 0.87 (rounded up to two decimal places)
sine 150 = 0.5
sine 180 = 0
sine 210 = -0.5
sine 240 = -0.87 (rounded up to two decimal places)
sine 270 = -1
sine 60 = 0.87 (rounded up to two decimal places)
So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°
acute angle between the hours hand and the minute hand at 1pm
Answer: 30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
:-)
Answer:
30 degrees
Step-by-step explanation:
1 hour = 60 min = 360 degree
1 min = 360/60 degree
1 min = 6 degree
and the gap of hour hand and minute hand at 1pm, is of 5 min
therefore acute angle formed is 5 X 6 = 30 degrees.
What is the perimeter of this polygon?
A(2, 3)
B(-4, 0)
C(0,-4)
D(4,0)
Answer:2,3 hope it help you
Step-by-step explanation:
Answer:
21.627
Step-by-step explanation:
get the distance between all points then add
A classroom floor has an area of
(30x^3 + 8x^2, with a width of 2x feet.
What is the length of the floor?
Answer:
15x² + 4x feet
Step-by-step explanation:
We need to calculate (30x³ + 8x²) / 2x.
(30x³ + 8x²) / 2x
= 30x³ / 2x + 8x² / 2x
= 15x² + 4x
please help me answer this in variable terms and constant terms -5.6x + 7 + 24y - 9
Answer:
Variable terms:
x and y
Constant terms:
7 and -9
Coefficient terms:
-5.6 and 24
If the amount of VAT paid for an item at 13% was Rs 390, at what price was the item sold?
Answer:
Step-by-step explanation:
Let the price of the item = Rs x
13% of x = 390
[tex]\frac{13}{100}*x=390\\\\\\x = 390*\frac{100}{13}\\\\\\[/tex]
x = Rs. 3000
Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes. Which graph represents Sondra's earnings?
Answer: I know this is a bit late but for anyone looking the answer to this question, i got it right here :D.
Step-by-step explanation: I guessed and got it correct.
The graph representing Sondra's weekly earnings is plotted and attached.
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Sondra receives an allowance of $10 per week, plus an additional $5 for each chore she completes.
Assume that her weekly earnings is $y. Assume she does [x] extra chores in a week. Then, we can model her earnings by the equation -
y = 5x + 10.
Refer to the graph attached.
Therefore, the graph representing Sondra's weekly earnings is plotted and attached.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
I need help answering this
Answer:
100 degrees
Step-by-step explanation:
