How much INTEREST would you earn investing $5000 that earns 7% simple annual interest for 3 years?
Answer:
$1,125.26
Step-by-step explanation:
Start of Year 1 5000.00
Start of Year 2 5350.00
Start of Year 3 5724.50
Start of Year 4 6125.26
In how many ways can a committee of 8 sit in a row if the chairman occupies the middle seat??
Elena and Diego each wrote an equation to represent the diagram. Elena wrote 35+w+41=180. Diego wrote 35+w=180.which equation do you agree with? You can assume that angles that look like right angles and indeed right angles
Answer:
Step-by-step explanation:
i need to see the diagram, to help you
A) Find the average value of the function over the given interval. (Round your answer to four decimal places.)
f(x) = 16 - x^2 , [-4, 4]
Answer: ???
B) Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.)
Answer: x = ???
Answer:
(a) The average rate of change is 0
(b) The values of x are: [tex]x =4\ or\ x = -4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 16 - x^2; [-4,4][/tex]
Solving (a): The average rate of change (m)
This is calculated using:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [-4,4][/tex]
So:
[tex]m = \frac{f(4) - f(-4)}{4 - -4}[/tex]
[tex]m = \frac{f(4) - f(-4)}{8}[/tex]
Solve f(4) and f(-4)
[tex]f(4) = 16 - (4^2) = 16 - 16 = 0[/tex]
[tex]f(-4) = 16 - (-4^2) = 16 - 16 = 0[/tex]
So:
[tex]m = \frac{f(4) - f(-4)}{8}[/tex]
[tex]m = \frac{0 - 0}{8}[/tex]
[tex]m = \frac{0}{8}[/tex]
[tex]m = 0[/tex]
Solving (b): All values of x where [tex]f(x) = m[/tex]
In (a), we have:
[tex]m = 0[/tex]
So:
[tex]f(x) = 0[/tex]
So, we have:
[tex]f(x) = 16 - x^2[/tex]
[tex]16 - x^2=0[/tex]
Express 16 as [tex]4^2[/tex]
[tex]4^2 - x^2=0[/tex]
Apply difference of two squares
[tex](4 - x)(4 + x) = 0[/tex]
Split
[tex]4 - x =0; 4 + x = 0[/tex]
Solve for x
[tex]x =4\ or\ x = -4[/tex]
We will find that the average of the function over the given interval is 0, and the two values of x such that the function is equal to the average are x = -4 and x = 4.
How to find the average of a function over an interval?
To find the average of a function f(x) over an interval [a, b] we need to compute:
[tex]\frac{f(b) - f(a)}{b -a}[/tex]
In this case we have:
f(x) = 16 - x^2
And the interval is:
[-4, 4]
We will get:
[tex]\frac{(16 - (4)^2) - (16 - (-4))^2}{4 - (-4)} = \frac{0}{8} = 0[/tex]
So the function has an average of 0 over that interval.
B) Here we just need to solve:
f(x) = 16 - x^2 = 0
We will get:
16 - x^2 = 0
16 = x^2
±√16 = x
±4 = x
So the solutions are x = 4 and x = -4.
If you want to learn more about averages of functions, you can read:
https://brainly.com/question/16033358
Help please yalllllll
Answer:
27.3 mi2, the first option
Step-by-step explanation:
Area of a triangle is [tex]\frac{1}{2}[/tex] x base x height
Length of the base is 9.1mi and height is 6mi.
So, the Area would be:-
[tex]\frac{1}{2}[/tex] x 9.1 x 6
[tex]\frac{1}{2}[/tex] x 54.6
[tex]\frac{54.6}{2}[/tex]
= 27.3 mi2
Number 26 (PlSss Help I really need help on this) I’ll give 15 points!!!!!!
[tex]\mathcal\pink{The \: answer \: is }[/tex]
only one window has height that is a whole number of centimeters
[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]
[tex]\huge\pink{mark \: as \: brainliest}[/tex]
What is a hand drawn picture or design of a 3D object
Answer:
hello
Step-by-step explanation:
i think it is modelling
hope it helps
have a nice day
I am pretty sure it's modeling!
divide then write in simplest form 5 divided by 5/6, 3 divided by 5/6, 10 dived 5/6 4 divided 5/9, 6 divided by 2/3
Answer:
Step-by-step explanation:
y= -1/4x
What is the coefficient in the following expression?
5a– 7
a trapezoid has an area of 15 square feet. if the bases are 4 feet and 6feet, what is the height of the trapezoid?
9514 1404 393
Answer:
3 ft
Step-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
Filling in the given information, we can solve for h.
15 ft² = 1/2(4 ft +6 ft)h
15 ft² = (5 ft)h
h = (15 ft²)/(5 ft) = 3 ft
The height of the trapezoid is 3 feet.
Write the trigonometric ratio for cos X as a fraction and as a decimal rounded to the nearest hundredth
Answer: The correct choice is letter C.
Step-by-step explanation:
Cosine = adjacent/hypotenuse
In this triangle, you are looking for angle degree of cos X.
When finding an angle degree, you must use the inverse of whatever trig ratio you are using. In this case, you would use [tex]cos^{-1}[/tex].
The adjacent side from x is 12 and the hypotenuse is 15.
So you form your trig ratio which is your answer.
[tex]cos^{-1}[/tex] [tex]\frac{12}{15}[/tex] = 0.80
Alexa and Siri are each working on an assignment that is 60 questions long. Alexa completed 20% of the assignment, while Siri completed 30% of the problems. How many more questions did Siri complete?
the correct answer is 25
Answer:
The answer: 18-12=6
Step-by-step explanation:
Step 1:
Alex:
Part=Whole*Percentage
So just plug in the numbers
Part=60*0.20=12
Step 2:
Siri:
Part=Whole*Percentage
Part=60*0.30=18
Step 3:
18-12=6
Find the quotient of 3/5 and 2/3
Answer:
The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.
Answer:
9/10
Step-by-step explanation:
(3/5)/(2/3)=(3/5)(3/2)=9/10
What is the mean?
-4 -3 0 -4 -3 0
Answer:
−4−(3)(0)−4−(3)(0)
=−8
Answer:
-2 and 1/3
Step-by-step explanation:
-4+-3+0+-4+-3+0 = -14
6 numbers
-14/6 = -2 1/3
Find the midpoint of the line segment with endpoints (3,-5) and (7.9).
Answer:
x midpoint 5
y midpoint 2
(5,2)
What is the rate of change of the function y
- 2 x – 52
Answer:
The rate of change is -2
Step-by-step explanation:
Given
[tex]y = -2x - 52[/tex]
Required
The rate of change
The slope intercept of a fuction is:
[tex]y =mx + b[/tex]
Where
[tex]m \to[/tex] rate of change
So, by comparison; [tex]y = -2x - 52[/tex] and [tex]y =mx + b[/tex]
[tex]m = -2[/tex]
The 8 red markers in a package account for 4% of all markers in the package. How many markers are in the package?
Answer:
192 markers
Step-by-step explanation:
if 8 = 4% then 2=1%
so we can assume there are 200markers in the package.
8-200= 192 markers
You have a collection of 30 coins, all of which are dimes and quarters. The total of your collection is $5.10 how many of each kind of coin do you have
Can someone please help me with 5 and 6 like rnnn please???
Answer:
6 is 140°
step by step
same line meant that the angle abc equals 180°
so DBC =180-40=140° .
select the three fractions that are less than 1/2
Answer:
A,D,F are less then 1/2
Step-by-step explanation:
Answer:
1/8
1/16
1/6
Step-by-step explanation:
1. 1/2 = 0.5 2. 1/2 = 0.5
1/6 = 0.167 1/8 = 0.125
A city doubles its population in 20 years. If it is growing exponentially, when will it triple its population?
Answer:
After 30 years
Step-by-step explanation:
population×2=20 years
population×2×1.5=20×1.5 years
population×3=30 years
Find the number of sides of a regular polygon if the sum of the interior angles of the
polygon is 7020
Answer:
n = 6
Step-by-step explanation:
Given the following data;
Sum of interior angles, S = 720°
Mathematically, the sum of the interior angles in a regular polygon is given by the formula;
S = 180(n - 2)
Where;
n is the number of sides.
S is the sim of the interior angles
720 = 180(n - 2)
720 = 180n - 360
180n = 720 + 360
180n = 1080
n = 6
What is the approximate volume of a can that is 5 inches tall and has a 2.5 inch diameter?
F. 19.6 cu in.
G. 98.1 cu in.
H. 24.5 cu in.
J. 39.3 cu in.
Use the distributive property to match equivalent expressions.
74-4 - x)
28 - 7x
-28 - 7x
-7(4-x)
28 + 7x
7(4 + x)
-28 + 7x
-7(4+x)
Answer:
7(-4 - x) = -28 - 7x
-7(4 - x) = -28 + 7x
7(4 + x) = 28 + 7x
-7(-4 + x) = 28 - 7x
Step-by-step explanation:
To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.
Thus:
✔️7(-4 - x) = 7(-4) +7(-x)
= -28 - 7x
✔️-7(4 - x) = -7(4) -7(-x)
= -28 + 7x
✔️7(4 + x) = 7(4) + 7(+x)
28 + 7x
✔️-7(-4 + x) = -7(-4) -7(+x)
= 28 - 7x
A hat contains 3 blue and 5 black tickets.
If one ticket is chosen at random from the hat, what is the probability that it is blue?
I WILL GIVE BRAINLIST ANSWER
Answer:
the answer is 3/8
Step-by-step explanation:
Which choices describe a Subscript n Baseline = 4 (0.9) Superscript n? Check all that apply.
S1 = 4
S2 = 6.84
S3 = 10.156
The sequence diverges.
Answer:
b and d
Step-by-step explanation:
edge 2021
If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.
What is a geometric sequence?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
a, ar, ar², ar³, ...
The sequence is given below.
[tex]\rm a_n = 4 (0.9)^n[/tex]
Then the sum of the sequence will be given as
The first term (a) is 4. And the common ratio (r) is 0.9.
Then we get
[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]
For n = 1, we have
S₁ = 40 (1 - 0.9)
S₁ = 40 x 0.1
S₁ = 4
For n = 2, we have
S₂ = 40 (1 - 0.9²)
S₂ = 40 x 0.19
S₂ = 7.6
For n = 3, we have
S₃ = 40 (1 - 0.9³)
S₃ = 40 x 0.271
S₃ = 10.84
If the common ratio is less than one then the sequence will diverge.
Learn more about geometric sequence here:
https://brainly.com/question/2735005
#SPJ2
How do I answer this? I'm so confused
Answer:
Draw a graph of f(x) and q(x) also find x-intercept and y
i will give Brainiest if you are right
Answer:
Option D is the correct answer
Hello there!!
The answer would be D. The symbol you see, [tex]\geq[/tex], means 'greater than or equal to'. This correctly fits the wording - Margo must sell AT LEAST 38 tubs. So the lowest number she can sell is 38. And that means the answer is D.
I hope this helps!
PLZ ANSWER NEED IT ASAP
Answer:
80 square units
Step-by-step explanation:
beep
1.
What is the equation of a circle with center (-5, 8) and radius 9?
Answer:
Your equation is:
(x−5)2+(y+8)2=92
Expanding from general form you can write this as:
x2−10x+y2+14y+−8=0
Step-by-step explanation:
i think its correct ig don't know sry but i tried hope it helps you ✨
Answer:
[tex](x+5)^2+(y-8)^2=81[/tex]
Step-by-step explanation:
General equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].
Center coordinates = (-5, 8)
a = -5 b = 8 r = 9
[tex]\\(x+5)^2+(y-8)^2=9^2[/tex]
[tex](x+5)^2+(y-8)^2=81[/tex]
Please do mark as brainliest. Hope this helps! :)