[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1500\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &6 \end{cases} \\\\\\ A=1500e^{0.07\cdot 6}\implies A=1500e^{0.42}\implies A\approx 2282.94[/tex]
A rectangular swimming pool is 15 meters long, 14 1/2 meters wide, and 3 1/2 meters deep. What is its volume? in cubic meters
Answer:
761.25 m³
Step-by-step explanation:
l = 15 , w = 14.5 , h = 3.5
Volume of a rectangular prism is given by the formula :
V = lwh
V = 15 × 14.5 × 3.5
V = 761.25
Units will be m³
I am attaching an image for visual understanding
Hope this helped and brainliest please.
In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°. Find the length of z, to the nearest centimeter.
The value of side z will be equal to 99.32 cm.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
Given that:-
In ΔXYZ, x = 27 cm, y = 79 cm and ∠Z=142°
So by applying the formula given below:-
z² = x² + y² - 2xyCos(142)
z² = 79² + 27² - 2 ( 79 x 27 x Cos142 )
z = 99.32 cm
Hence the value of side z will be equal to 99.32 cm.
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Identify the zeros given the quadratic equation y= -16(x+7)(x-5)
Answer:
wouldn't it be -7 and 5? I'm pretty sure that you switch the signs around.
Step-by-step explanation:
set y=0 and solve. -7 + 7 = 0 and 5 - 5 = 0. my teacher told me to switch the signs for each factored term. hope this helps.
Answer:
x = -7
x = 5
Step-by-step explanation:
Hello!
We can use the Zero Product Property to solve for the Zeroes.
Zero product PropertyThe zero product property stars by factoring a quadratic. You then set each of the factors to zero, and solve for the variable in the factor.
Factored form: y = a(x - h)(x - k)
0 = a(x - h)(x - k)0 = (x - h)(x - k) Divide by aNow, let's call each factor, A and B. To get to 0, either A, B, or both have to be 0. We prefer to solve for both.
Solvey = -16(x + 7)(x - 5)0 = -16(x + 7)(x - 5)0 = (x + 7)(x - 5) Divide by -16x + 7 = 0, x = -7x - 5 = 0, x = 5The zeroes of the Quadratic is -7 and 5.
Why do we replace it with 0?
Zeroes means the x-intercepts, or the roots of a quadratic. An x-intercet is when y is equal to 0. So we replace y with 0, and solve for x.
b) How many more 18-year
old students than 12-year
old students spent
between 25 and 35 mins
on social media?
The number if 18-year old 12-year old students that took part in the survey is 320.
The number of more 18-year old students than 12-year old students that spent between 25 and 35 mins on social media is 20.What is the survey about?Looking at the survey chart one can see that the total number of 18year old that partook of the survey are:
30 + 20 + 60 + 70 + 40 + 60 + 40
= 340
From the diagram , 18 year old = 60
12 year old = 40
The differences will be:
= 60 - 40
= 20
Therefore, The number if 18-year old 12-year old students that took part in the survey is 320 and the number of more 18-year old students than 12-year old students that spent between 25 and 35 mins on social media is 20.
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A square has a triangular hole in it. What is the area of the figure?
9 in. 3 in.
76.5 in 2
89 in 2
72 in 2
3 in.
9 in.
Answer:
76.5in²
Step-by-step explanation:
First we will find the area of the square. This is done by multiplying the side length (9in) by itself.
[tex]9 * 9 = \boxed{81}[/tex]
The area of the square is 81in².
Next we will find the area of the triangular hole. We can use the formula [tex]\frac{1}{2}bh[/tex], where b is the base of the triangle (3) and h is the height of the triangle (3).
[tex]\frac{1}{2}bh\\\frac{1}{2}(3)(3)\\\frac{9}{2}\\\boxed{4.5}[/tex]
The area of the triangle is 4.5in².
Now we can find the area of the figure by subtracting the area of the square and the area of the triangular hole.
[tex]81 - 4.5 = \boxed{76.5}[/tex]
The area of the figure is 76.5in².
That is the answer
- Kan Academy Advance
Find the degree of the polynomial b5 + 2b3 + 7.
Answer:
5
Step-by-step explanation:
b^5 + 2b^3 + 7
Here,
degrees are 5 and 3.
The degree of the polynomial is the highest / greatest number in the degree.
Out of 3 and 5
5 is the highest / greatest number.
Hence,
the degree of the given polynomial is 5.
EASY POINTS Which of the following best describes DG?
Answer:
A. median
Step-by-step explanation:
the median is the middle of the shape :)
PLEASE HELP! ITS DUE SOON IM SO CONFUSED SOMEONE PLEASE HELP ME!
Answer:
40.6°
Step-by-step explanation:
formula of area of triangle
1) √[(s)(s-a)(s-b)(s-c)] , s= (a+b+c)/2
2) 1/2ab sin c
calculate the area first
s= (9.6+6.3+8.1)/2
=12
area= √[(12)(12-9.6)(12-6.3)(12-8.1)]
= √640.224
= 25.3026
1/2(9.6)(8.1) sin c = 25.3026
sin c = 25.3026(2)/(9.6*8.1)
sin c = 0.6508
c = sin-¹ 0.6508
c = 40.6 (nearest tenth)
what is the answer divided
Answer:
4m/9
Step-by-step explanation:
Ali takes a full-time position as a makeup artist in Atlanta. Her starting salary is $29,000. Her taxes are 28%. What is her net monthly income?
a. $2,416
b. $3,840
c. $2,088
d. $1,740
I couldn't find the answer to this question when I really needed it, so I did the work myself and got D as the answer. I ended up getting it right because you divide 29,000 by 12, then multiply the answer (2416) by 28%, which gives you the answer, D, 1740. Hope that helped!
Answer:
d. $1,740
Step-by-step explanation:
The annual after-tax salary is found by subtracting the tax from the salary. The tax is found by multiplying the tax rate by the salary. The monthly after-tax income is 1/12 of the annual after-tax income.
__
stepsannual tax = 0.28 × $29,000 = $8,120
annual take-home pay = $29,000 -8,120 = $20,880
monthly take-home pay = annual pay / months per year
= $20,880 / 12 = $1,740 . . . . net monthly income
_____
Additional comment
The net pay will be (1 - 0.28) = 0.72 times the nominal salary. The monthly pay will be 1/12 of the annual pay. These combined factors give a monthly net pay of (0.72)(1/12) = 0.06 times the annual pay.
0.06 × $29000 = 6×$290 = $1740
Determine if the following angles are congruent. What theorem proves them to be congruent. Explain your reasoning.
Answer: AAS
Step-by-step explanation:
We know that [tex]\angle TSN \cong \angle HSU[/tex] because they are vertical angles, meaning the triangles are congruent by AAS.
Aaron solved an inequality and then graphed the solution as shown below.
-8-7
1 0 1 2 3 4 5
Which inequality did Aaron solve?
|x+2| <3
Ox+2| >3
|x+3| <2
|x+31 > 2
Based on the graph that Aaron made, we can infer that the inequality he solved is | x + 2 | < 3.
What inequality was solved by Aaron?
The value of x in the graphed inequality is:
-5 < x < 1
If 2 was added to both sides, the least value would be - 3 and the highest value would be 3.
The inequality then becomes:
-3 < x < 3
This in line with the first option which is that when 2 is added to any value of x, it will be less than 3.
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A survey asked people how many siblings they have, and the results were recorded in this line plot.
How many people surveyed have 4 or more siblings?
dot plot
Answer:
we need a pic of the graph to be able. to work this out.
THANK YOU
Answer:
It's 5.
Step-by-step explanation:
8-3= 5
change 35:14 to a decimal number
Answer:
35/14 as a decimal = 2.5 · 35/14 in decimal form = 2.5 · Thirty-five fourteenths as a decimal = 2.5 · 35 over 14 as a decimal = 2.5
I will mark brainliest!
Graph the line that represents a proportional relationship between Y and X where the UNIT RATE of change is Y with respect to X is 4/5. In other words, a change of 1 unit in X corresponds to a change of 4/5 units in Y.
Answer:
see below
Step-by-step explanation:
Just graph y = 4/5 x
A circle has a radius of 7 in. Find the radian measure of the central angle 0 that intercepts an arc of length 15 in. Do not round any intermediate computations, and round your answer to the nearest tenth.
The measure of the central angle is 2.15 radians if the radius of the circle is 7 in.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The radius of the circle = 7 in
Arc length = 15 in
We know,
s = rθ
s is the arc length, θ is the central angle, and r is the radius of the circle.
15 = 7θ
θ = 15/7
θ = 2.142 radians ≈ 2.15
Thus, the measure of the central angle is 2.15 radians if the radius of the circle is 7 in.
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Which of the following points is not coplanar with points C, D and E?
The point R is the point which is not coplanar with points C, D and E.
We need to find the point which is not coplanar with points C, D and E.
What are coplanar points?The points that lie on the same plane are called coplanar points.
In the given figure there are five planes which are as follows:
BCUD, BRAE, BRAC, BTDE, ACUDE
Now, points C,D and E lie in plane ACUDE.
In the plane ACUDE points A, C, U, D, E and S lies.
From the options point, R is not lining in the same plane as C, D and E lies.
Therefore, the point R is the point which is not coplanar with points C, D and E.
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Please pick one of the options.
9880 different possibilities are there in Sally's new combination option second 9880 is correct.
What is permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Total unique numbers consists in a Sally locker = 3
From the digits 0 to 39
Total numbers = 40
Apply combination formula:
= C(40, 3)
= 40!/(3!37!)
= 9880
Thus, 9880 different possibilities are there in Sally's new combination option second 9880 is correct.
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Directions: Follow the instructions for the following inequalities. 1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10 2. 11>-2 Add 5 to both sides, then add 3, then add (-4) 3. -4<-2 Subtract 6 from both sides, then 8, and then 2 4. -8<8 Divide both sides by -4, then by -2 5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
In the given question, we have to perform this experiment and test if the inequality is true or not.
Adding the same value to both sides of the inequality will not change the inequality sign
Inequalitydata;
4 < 711 > - 2-4 < - 2-8 < 8In the first case, we would do follow the process
[tex]6 * 7 * 4 < 7 * 7 * 6\\168 < 294[/tex]
In the second case;
[tex]11 > - 2\\\\5 + 11 > -2 + 5\\3 + 16 > 3 + 3\\4+ 19 > 6 + 4\\23 > 10[/tex]
In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.
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1) - 6z+2+3= 15
How do I solve this question
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to solve the equation [tex]\mathrm{-6z+2+3=15}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
The goal is to isolate x.Notice that we can add 2+3 right off the bat:
[tex]\star~\mathrm{-6z+5=15}[/tex]
Subtract 5 from both sides of the equal sign:
[tex]\star~\mathrm{-6z=10}[/tex]
Divide both sides by -6:
[tex]\star~\mathrm{z=\cfrac{10}{-6}}[/tex]
Simplify!
[tex]\star~\mathrm{z=-\cfrac{5}{3}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
help what is
thr circumference of a circle is 36π cm
what is the radius of teh circle?
Let's consider the relationship between the circumference and the radius:
⇒ first, consider the equation for finding the circumference
[tex]Circumference = 2\pi *radius[/tex]
Let's consider the known information
Circumference ⇒ 36πLet's plug the known information to find the radius:
[tex]Circumference = 2\pi *radius\\36\pi =2\pi *radius\\radius = 18[/tex]
Thus the radius is 18 cm
Answer: 18 cm
Hope that helps!
Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below. Based on the AFN equation, what is the AFN for the coming year?
Based on the AFN equation, the AFN for the coming year will be -$16000.
How to calculate the AFN?Last year's sales =$200,000
Sales growth rate = g = 40%
Forecasted sales = S0 × (1 + ) = 280,000
∆S = change in sales = S1 − S0 = $80,000
Last year's total assets = A*0 = A*0 since full capacity $135,000
Forecasted total assets = A*1 = A*0 × (1 + g) = $189,000
Last year's accounts payable = $50,000
Last year's accruals= $20,000
L*0 = payables + accruals = $70,000
Profit margin = M = 20.0%
Target payout ratio = 25.0%
Retention ratio = (1 − Payout) = 75.0%
AFN = (A*0/S0)ΔS – (L*0/S0)ΔS – Margin × S1 × (1 − Payout)
AFN = $54,000 – $28,000 – $42,000
= -$16,000
The complete question goes thus:
Chua Chang & Wu Inc. is planning its operations for next year, and the CEO wants you to forecast the firm's additional funds needed (AFN). Data for use in your forecast are shown below.
Last year's sales = $200,000
Sales growth rate = 40%
Last year's accounts payable = $50,000
Last year's notes payable = $15,000
Last year's accruals = $20,000
Based on the AFN equation, what is the AFN for the coming year?
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I need help asap!!!!!!!!!
If a hot air balloon pilot inflates the balloon at an average wind speed of about 5 miles per hour with an altitude of 35,000 feet, how fast will the radius of the balloon increase as it goes up higher and higher performing certain tricks? Using the differentiation formula applicable for this situation, estimate the speed of inflation and the speed of landing. Will this be able to help the pilot still perform other tricks before making a colorful landing? Give at least two comprehensible reasons and explain your answer.
The speed of landing is 15.69 ft/sec.
What is differentiation ?"Differentiation, in mathematics, process of finding the derivative, or rate of change, of a function. In contrast to the abstract nature of the theory behind it, the practical technique of differentiation can be carried out by purely algebraic manipulations, using three basic derivatives, four rules of operation, and a knowledge of how to manipulate functions.
The three basic derivatives (D) are: (1) for algebraic functions, D(xn) = nxn − 1, in which n is any real number; (2) for trigonometric functions, D(sin x) = cos x and D(cos x) = −sin x; and (3) for exponential functions, D(ex) = ex."
Let the length of the rope = r
Height of the balloon = h
we are given dr/dt = 15ft/sec
at any time t we know:
[tex]r = 125 + 15*t[/tex]
By the Pythagoras theorem we know:
[tex]h^2 + 125^2 = r^2[/tex]
We have to find dh/dt at time t = 20 sec
[tex]d/dh(h^2 + 125^2) = d/dt(r^2)[/tex]
By chain rule:
[tex]d/dh(h^2 + 125^2)*dh/dt\\ = d/dr(r^2)*dr/dt\\2h*dh/dt = 2r* dr/dt\\h*dh/dt = r*dr/dt\\dh/dt = (r/h)*dr/dt[/tex]
[tex]= [(125 + 15*20)/(425^2 - 125^2)^1/2]*15[/tex]--------------------- at time t = 2
=15.69 ft/sec
Hence dh/dt = 15.69 ft/sec
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I will give you brainlest if you are the first one to answer(and the best)
Answer:
4 kg
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Add to find total mass:
2.5 + 3.5 + 3.5 + 5 + 5.5 = 20
Since there is a total of 5 bags and want to evenly distribute divided by 5,
20 / 5 = 4
Jessie is painting a cardboard box for a school project and needs to know much paint she needs to cover the box.
6n
10 in.
Answer:
incomplete question
Step-by-step explanation:
in order to calculate for the surface area of a rectangular box we would need 3 measurements:
length
width
height
you only provided 2
A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width in inches of the picture frame, and let l represent the length in inches. Which system of equations can be used to find the dimensions of the picture frame?
Equations can be used to find the dimensions of the picture frame:
Length = 2 +1/2w
and, 2(l+b)=40
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Perimeter = 40 inches.
let the width be w
length= 1/2w+2
So.
Perimeter of rectangle
40= 2 (l+b)
40= 2(0.5w+2+w)
20=1.5w+2
18=1.5w
w= 12
length= 8
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vertex (3,-2) and y-intercept (0,7).
Write your answer in this form: (X₁,Y1), (X2,2).
If necessary, round to the nearest hundredth.
Enter the correct answer.
Answer:
3±√2/3 = x
Step-by-step explanation:
As you already have the vertex, the equation for this is y = a(x – h)^2 + k,
so by plugging all this in using the vertex coordinates, you get y = 3(x - 3)^2-2, so, if you divide everything by three you get 2/3 = (x - 3)^2
This means that the two x-intercepts are:
A restaurant chef wants to install a new floor in her kitchen. The kitchen measures 8 meters wide and 11 meters long, and the flooring costs $8.71 per square meter. How much will the chef's new floor cost?
Answer:
$766.48
Step-by-step explanation:
area = length × width
area = 11 m × 8 m = 88 m²
cost = 88 m² × $8.71/m²
cost = $766.48
Are these numbers rational or irrational? -7 √10 (square root of 10) √16 (square root of 16) 52% 1.235 1. Rational 2. Irrational
Step-by-step explanation:
remember what a rational number is ?
any number that can be expressed by a/b, with a and b being integer numbers, and b different to 0.
so,
-7 = -7/1 rational
sqrt(10) irrational, because there is no rational number that multiplied by itself is 10.
sqrt(16) = sqrt(4×4) = 4 = 4/1 rational
52% = 52/100 rational
1.235 = 1235/1000 rational