Answer:
$2,856.80
Step-by-step explanation:
The formula for the balance of an account earning interest compounded annually is ...
A = P(1 +r)^t . . . . where P is the principal invested at annual rate r for t years
__
Using the given values, we find the account balance to be ...
A = $8400(1 +0.05)^6 ≈ $11,256.80
The excess over the initial investment is the interest earned:
$11,256.80 -8,400 = $2,856.80
The account has accrued $2,856.80 in interest after 6 years.
_____
Additional comment
If the account earns simple interest, it is computed using ...
I = Prt = $8400(0.05)(6) = $2,520
Find the surface area of the right triangular prism (above) using its net (below).
Answer:
96 units²
Rectangles
A = bh
4 x 7 = 28
5 x 7 = 35
3 x 7 = 21
Triangles
A = bh/2
(4 x 3)/2 = 6
(4 x 3)/2 = 6
Total SA
28 + 35 + 21 + 6 + 6
96 units²
BRAINLIEST please if this helped!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
y = 8 , x = 15
Step-by-step explanation:
[tex]\frac{24}{51}= \frac{y}{17} \\[/tex]
Cross Multiply.
51 * y = 24 * 17
Then solve for y.
[tex]y=\frac{24*17}{51}[/tex]
y = 8
Same thing for the x.
[tex]\frac{45}{51}=\frac{x}{17}[/tex]
Cross Multiply.
51 * x = 45 * 17
Solve for x.
[tex]x=\frac{45*17}{51}[/tex]
x = 15
Find the sum of -2 + 3i and -1- 2i.
Answer:
-3+i
Step-by-step explanation:
Collect like terms
-2-1=-3
+3i-2i=i
-3+i
It cost $4.68 for 3 pounds of chicken. What is the unit price? Solve
Answer:
$1.56
Step-by-step explanation:
4.68/3 = 1.56
Unit price is $1.56
Answer:1.56
Step-by-step explanation: 4.68/3=1.56
WILL GIVE BRAINLIEST PLEASE HELP FAST!! Write the function f(x)= 2x3+1+x2 x2−9 as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function.
f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9).
To answer the questions, we need to know what functions are
What are functions?A function is a mathematical expression that shows the relationship between two variables.
Types of functionOdd functions - These are functions in which f(-x) = -f(x)Even functions - These are functions in which f(-x) = f(x)Neither - When the function is neither even nor odd.Since f(x) = (2x³ + 1 + x²)/(x² + 9).
The odd part of f(x)Its odd part g(x) = [f(x) - f(-x)]/2
So, g(x) = [f(x) - f(-x)]/2
= [(2x³ + 1 + x²)/(x² + 9) - (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2
= [(2x³ + 1 + x²)/(x² + 9) - (-2x³ + 1 + x²)/(x² + 9)]/2
= (2x³ + 1 + x² + 2x³ - 1 - x²)/2(x² + 9)
= 4x³/2(x² + 9)
g(x) = 2x³/(x² + 9)
The even part of f(x)
Its even part h(x) = [f(x) + f(-x)]/2
So, h(x) = [f(x) + f(-x)]/2
= [(2x³ + 1 + x²)/(x² + 9) + (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2
= [(2x³ + 1 + x²)/(x² + 9) + (-2x³ + 1 + x²)/(x² + 9)]/2
= (2x³ + 1 + x² - 2x³ + 1 + x²)/2(x² + 9)
= 2(1 + x²)/2(x² + 9)
h(x) = (1 + x²)/(x² + 9)
So, f(x) = g(x) + h(x)
f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9)
So, f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9) + (1 + x²)/(x² + 9).
Learn more about odd and even functions here:
https://brainly.com/question/26322830
Answer:
[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]
[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]
Step-by-step explanation:
'x² - 9' is an even.
Break up the numerator into odd an even parts to get your answer.
'2x³' is odd and 'x² + 1' is even.
[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]
[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]
I’m really confused… feedback would be appreciated!
Answer: 13/34
Step-by-step explanation: In total there are 34 people
There are 13 professors and instructors.
That means that there is a 13/34 chance.
If a fair die is rolled 5 times, what is the probability, to the nearest thousandth, of getting exactly 3 ones?
Answer:
0.1317
Step-by-step explanation:
i have 57 test to take each takes 8 minutes, so how long does it takes to complete the test?
7.6 hours
Step-by-step explanation:
57 x 8 = 456 minutes
456÷60= 7.6
i need help with this i will mark BRAINLIEST and give alot of points
Answer:
Below
Step-by-step explanation:
Diameter = 2r (r is radius) so the diameter is 40 inches
Circumference= 2pi r= 40pi or 125.663
Area= pi r^2= pi(20)^2= 400 pi pr 1256.637
Answer:
Diameter: 40 inches
Circumference: 40π, or ~125.66 inches
Area: 400π, or ~1256.64 inches
Step-by-step explanation:
Diameter is twice the radius, so 20×2 = 40 inches.
Circumference formula is C = 2πr, so plugging everything in, C = 2π×20,
and simplify, C = 40π, or C ≈ 125.66 inches.
Area formula is A = πr², so plugging everything in, A = π20², and then simplify, A = 40π, or A ≈ 1256.64 inches.
In the U.S. it is implied that two-year schools (community colleges) are “a bargain” compared to 4-year institutions. Complete a two-sample test. Test that the “average cost of state universities is greater than the average cost of community colleges”. To perform this test, you will use the average cost of in-state tuition from your sample data of state universities. ($10,472) You will also need to find the mean and standard deviation from the random sample of community colleges provided below. To find the mean and standard deviation for the community colleges data, plug the values into L1 and run 1-varstats. The mean is x-bar and make sure to use sample standard deviation, Sx. Assume variances are NOT equal as is done in the example on page 430. Complete a two-sample test at α = 0.05. WRITE AN INTERPRETATION OF YOUR RESULT. use either the p-value decision rule or rejection region. show all work by hand (If you establish in the hypothesis that 1 is the universities and 2 is community colleges make sure that your x-bar 1 and x-bar 2 also reflect those same categories. ) In hypothesis tests, I am looking for the correct conditions, hypotheses, model of either decision rule (draw out the normal distribution with correct shading of either p-value or rejection region), correct formula for the standardized test statistic with all values plugged in correctly, correct decision based on your p-value or standardized test statistic, and correct interpretation of your findings.
In-State Tuition
Amarillo College
2,538.00
Blue Ridge Community College
4,098.00
Bunker Hill Community College
3,384.00
Camden County College
1,650.00
Delta College
2,400.00
Eastern Wyoming College
2,280.00
Ellsworth Community College
3,960.00
Finger Lakes Community College
3,894.00
Granite State College
6,810.00
Massachusetts Bay Community College
3,624.00
Rock Valley College
2,970.00
San Antonio College
3,632.00
Answer: I got the same question, did u get the answer?
Step-by-step explanation:
How to solve problems in different ways and how to do them correct and fast so that way I kneo
Answer:
[tex]Hi!~I~am~beinggreat78~and~I~will~help~you.\\[/tex]
To solve problems, you first must find the source of the conflict, and attempt to let the situation play out, or use a strategy yourself. To solve math problems, go by PEMDAS.
Parentheses 1stExponents 2ndMultiply 3rdDivide 4thAdd 5thSubtract 6thWith this strategy, PEMDAS, you can solve math problems quickly, and like a pro!
Multiply: (3x+7)(5x^2-3x+6)
Answer:
15x^3+26x^2-3x+42
Step-by-step explanation:
(3x+7)(5x^2-3x+6)
15x^3-9x^2+18x+35x^2-21x+42
15x^3-9x^2+35x^2+18x-21x+42
15x^3+26x^2-3x+42
Answer:
15x³ + 26x² - 3x + 42
Step-by-step explanation:
Hi there!
We are given the polynomials 3x+7 and 5x²-3x+6
We want to multiply them together
(3x+7)(5x²-3x+6)
To that, we need to distribute each term of the binomials to each other, and then add them together.
What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.
So, let's first start by multiplying 3x by everything:
3x * 5x² = 15x³
3x * -3x = -9x²
3x * 6 = 18x
Add them together: 15x³ + -9x² + 18x
Now with 7:
7 * 5x² = 35x²
7 * -3x = -21x
7 * 6 = 42
Add them together: 35x² + -21x + 42
Now add 15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42
Combine like terms:
15x³ + 26x² - 3x + 42
Hope this helps!
IM STUCK CAN SOMEBODY HELP ME
Answer:
-16.15
Step-by-step explanation:
the variable in the equation means that it is ever changing, in this case, ever decreasing.
Which statement is not true?
A. I7I = -7
B. I7I = 7
C. I5I= 5
D. I-5I = 5
Answer:
a
Step-by-step explanation:
absolute value means the distance from 0 and it has to be a positive number so the answer has to be a
Which equation is true when x = 5? A 8x = 80 B x + 4 = 9 C 10 ÷ x = 5 D x − 6= 1
Answer:
B
Step-by-step explanation:
A. 8 * x = 80
8 * 5 = 40. 40 is not 80, so it doesn't work.
B. x + 4 = 9
5 + 4 = 9. This works.
C. 10 ÷ x = 5
10 ÷ 5 = 2. 5 is not 2, so it doesn't work.
D. x - 6 = 1
5 - 6 = -1. 1 is not -1, so it doesn't work.
A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30).
Which statement describes the function through the points?
Answer:
They are all even
Step-by-step explanation:
system of equations using substitution method
3x+4y=-3 x+2y=-1
Answer:
[tex]{x,y}={-1,0}[/tex]
Step-by-step explanation:
System of Linear Equations entered :
[1] 3x + 4y = -3
[2] x + 2y = -1
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y - 1
// Plug this in for variable x in equation [1]
[1] 3•(-2y-1) + 4y = -3
[1] - 2y = 0
// Solve equation [1] for the variable y
[1] 2y = 0
[1] y = 0
// By now we know this much :
x = -2y-1
y = 0
// Use the y value to solve for x
x = -2(0/32765)-1 = -1
Solution :
{x,y} = {-1,0/32765}
Answer:
[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]
Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
3x+4y=-3 and x+2y=-1[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]
You have to substitute.
[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]
Solve.
[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]
[tex]\sf{\dfrac{-3-4y}{3}}[/tex]
y=0
For y=0.
[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]
Solve.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract-3-4*0/3
Multiply.
4*0=0
-3-0
Add/subtract the numbers from left to right.
-3-0=-3
-3/3
Divide.
-3/3=-1
x=-1
Therefore, the final answer is x=-1 and y=0.
I hope this helps. Let me know if you have any questions.
The average distance between the Sun
and Mars is about 228 million km.
What is this distance in standard form?
Give your answer in kilometres (km)
Answer:
2.28 * 10^8 km.
Step-by-step explanation:
228,000,000
= 2.28 * 10^8 km.
All of the following are TRUE about CPR/AED EXCEPT:
A. CPR is used in emergency situations like a heart attack and near drowning.
B. CPR combines chest compressions and rescue breathing to increase the chance of survival.
C. CPR is guaranteed to keep a person alive until medical personnel arrive.
D. The use of an AED helps to restart the heart's natural rhythm.
Answer:
All are true except C. CPR is not a guarantee to keep someone alive till help arrives. Unfortunately some people die before help gets there regardless of the CPR.
Define then compare and contrast diverges and converges.
Answer:
Convergence is defined as the movement of two forces together while divergence implies the movement of two forces apart. In the world of economics, finance, and trading, divergence and convergence describe the directional relationship between two trends, prices, or indicators.
this graph shows how much money Jack spent on toys.If Jack purchase 5 toys,how much money will he spend?
Select all of the triangles below which are translations of triangle X.
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.
Hence, By all the graphs;
All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
Thus, All the triangles below which are translations of triangle X are,
⇒ A, B, D, E, F
Learn more about the transformation visit:
https://brainly.com/question/30097107
#SPJ2
Answer:
A, F
Step-by-step explanation:
The only two images that are just translations of triangle X are A and F.
Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.
All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.
Answer: A, F
Convert the unit of length. Round the answer to one decimal place if necessary. Assume 1 yd ≈ 0.914 m.
8m≈ yd
8m≈________ yd ?
Answer:
8.75
Step-by-step explanation:
I divided 8 by .914 and got and estimate of 8.75
find the value of x 115 [5x+30]
Answer:
i assume the question is 115-5x=10
Step-by-step explanation:
if yes then the answer will be
-5x=125
-5x/-5=125/-5
x=25
could anyone give me some quick help with this?
Answer:
a) 8xy = (4)(2xy)
b) 15x⁴z = (5x²)(3x²z)
c) -12x³y³ = (3y³)(-4x³)
d) 8x-2y = (2)(4x-y)
Step-by-step explanation:
a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy
b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.
5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z
c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³
d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Krystal was given $3000 when she turned 2 years old. Her parents invested at a 2% interest rate compounded annually. No deposits or withdrawals were made. Determine how much money Krystal had in the account when she turned 18.
Answer:
4131.38
Step-by-step explanation:
Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:
[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]
When you have a loan on a house, commercial property, or land, it is known as what?
Mortgage
Owner’s Manual
Permit
Rent
Answer:
mortgage
Step-by-step explanation:
all the others just dont fit the question. might be wrong might not be who knows
jack had m problems to complete during his vacation. (a) how many problems did jack solve per day? (b) suppose jack was solving 15 problems per day. (c) How many problems were assigned for homework
Jack's problems illustrates algebraic expressions
He solved m/5 problems everyday.75 questions were assigned in totalProblems solved per dayThe given parameter is:
Problems = m
From the complete question, we understand that all questions were solved in 5 days.
So, the number of questions solved per day is:
Daily = m/5
Number of problems in the assignmentWe have:
Daily = m/5
He solved 15 daily.
So, the equation becomes
m/5 = 15
Multiply both sides by 15
m = 75
Hence, 75 questions were assigned in total
Read more about expressions at:
https://brainly.com/question/723406
What is the simplest form of the quotient? Simplify by rationalizing the denominator.
[tex]\frac{\sqrt{3x^{12} y^{10}}}{\sqrt{5x^{6} y^{3}}}[/tex]
A. [tex]5x^{3} y^3 \sqrt{15y}[/tex]
B. [tex]\frac{x^3 y^3 \sqrt{15y} }{5}[/tex]
C. [tex]\frac{\sqrt{15x^{18} y^{13}}}{5x^6 y^3}[/tex]
D. none of these
Answer:
[tex]5x^{3} y^3 \sqrt{15y}[/tex] is the right answer and other are wrong
evaluate F (-1) where f (x) is the piece wise function graphed below
Check the picture below.
