Answer:
[tex]14m^{2}[/tex]+[tex]6w^{2}[/tex]+10w+2
Step-by-step explanation:
You have to add similar numbers.
Which number line best represents the solution to the equation?
It is line J as the answer is -4.5 or -9/2
LINE J
Serenity invested $3,100 in an account paying an interest rate of 2.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?
Answer:
$4179
Step-by-step explanation:
3,100*.029= 89.9
89.9*12=1,078.80
3,100+1,078.80=4,178.80
4,178.80 rounded to the nearest dollar= 4179
The amount of money in the account after 12 years would be $4,371.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
To calculate the amount of money in the account after 12 years, we need to use the formula for continuously compounded interest, which is:
A = P[tex]e^{rt}[/tex]
where A is the final amount, P is the principal (initial amount invested), r is the annual interest rate, and t is the number of years the money is invested.
In this case, the initial amount invested is $3,100, the annual interest rate is 2.9%, and the number of years is 12.
Plugging these values into the formula, we get:
A = $3,100 × [tex]e^{0.029 \times 12)[/tex]
A = $3,100 × [tex]e^{0.348}[/tex]
A = $3,100 × 1.41
A = $4,371
Therefore, the amount of money in the account after 12 years, to the nearest dollar, would be $4,371.
To learn more about Compound interest click here:
brainly.com/question/25857212
#SPJ2
What does the quadratic function
f(x) = x2 - 6x + 8 look like when it is
rewritten in the form f(x) = a(x − p)2 +q?
Answer:
f(x) = (x -3)^2 - 1
Step-by-step explanation:
f(x) = x^2 - 6x + 8
a = 1, b = -6 and c = 8
So we are finding half of the b equation (ignore the negative sign)
Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side
(x) = (x^2 - 6x + 9) + (8 - 9)
You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method
(x^2 - 6x + 9)
square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign
(x -3)^2
Don't forget the rest of the equation from before
(x -3)^2 + (8 - 9)
(x -3)^2 - 1
So the equation is f(x) = (x -3)^2 - 1
What is the slope of the line that passes through the points (5, 17) and (2,5)?
Write down two different prime numbers that have a sum of 34.
Answer:
23+11
Hope that helps :)
Answer:
31+3
Step-by-step explanation:
2,3,5,7,11,13,17,19,23,27,29,31
31+3=34
e is 5 more than d
f is 7 less than d
work out e-f
Answer:
12
Step-by-step explanation:
(5+d)-(d-7)
5--7 = 5+7 = 12
To prove this:
d = 10
e = 5+10 =15
f = 10-7 = 3
15 - 3 =12
At a glassworks, 60 pounds of composite glass is required to produce 15 pounds of glass. How many pounds of composite are
required to produce 3 pounds of this glass?
what is the equation of the vertical line through (2, 3) hurry! 40 points
Step-by-step explanation: The equation of a vertical line can always be written as x = the x-coordinate of the given point.
So in this case, our equation is x = 2.
7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}
B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}
C) {(1,5), 7,2), (9,1), (9,7), (2,7)}
D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}
HELPP!!! it’s due right now
Find the y-intercept of the line on the graph.
Enter the correct answer.
Answer: y intercept is -1
Step-by-step explanation:
The line intercepts at -1
Find the rate of change
Answer:
Not a constant slope
Step-by-step explanation:
the Answer is
2 orange
Find the supplementary angle of 101.9º.
HELP
Answer
180
if your feeling nice can you give me a brainlest :)
Answer:
Step-by-step explanation:
Which number below is a perfect square? 100 90 50 75
The sum of two numbers is 46 and their
difference is 20. What is the smaller
number?
1
A) 40
B) 13
C) 26
D) 12
Answer:
B. 13
Step-by-step explanation:
We have two unknown numbers, let's have two variables for these two unknown numbers, X and Y.
"The sum of two numbers is 46 and their difference is 20."
Meaning we have two equations :
X + Y = 46
X - Y = 20
Looking at the last part of "their difference is 20." We can assume X = Y + 20
So substitute the assumed equation into X + Y = 46
(Y + 20) + Y = 46
2y + 20 = 46
Subtract 20 from both sides :
2y = 26
Divide 2 by both sides :
y = 13
There you go.
What is the y-intercept of the line?
Answer:
1 :)
Step-by-step explanation:
[tex]==============================[/tex]
kindly refer to the attachment for the solution.
Hope everything is clear; if you need any more explanation, kindly ask me.
Use the Distributive Property to solve the equation.
- 8(x + 7) = 16
Apply the Distributive Property and simplify.
- 8(x + 7) = 16
- 8x + = 16
Answer:
x= - 9
Step-by-step explanation:
- 8(x +7) = 16-8x - 56 = 16 -8x = 16 + 56-8x = 72x = 72 ÷ (-8) x = -9Hey there!
Use the Distributive Property and simplify:
-8(x+7)=16
-8x-56=16
Notice we write -8 right next to x.
Add 56 to both sides:
-8x=16+56
-8x=72
Divide both sides by -8:
x=-9
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
[tex]\boxed{An~Emotional~Helper~here}[/tex]
Can someone please help me with this
Answer:
I would say 7, because if you think about you would know that your answer is 7
The difference in the price of 2 backpacks is $19.30. If one backpack costs $39.00, which of the answer choices could represent the price of the other backpack?
Answer:
$19.70 OR $58.30
Step-by-step explanation:
I say either or because I can't see the answer choices.
Its either adding or subtracting from the one backpack we know is $39.00
If we know the difference between the two is 19.30
39.00+19.30 = 58.30
39.00-19.30= 19.70
See if either of those are available :) Hope this helps! :)
Answer:
$19.70
Step-by-step explanation:
The sum of two numbers is 55. The smaller number is 13 less than the larger number. What are the numbers?
Answer:
21 and 34.
Step-by-step explanation:
21 is 13 less than 34 and the sum of them is 55.
HELP PLEASE
Select the equivalent expression.
Answer:c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Express with positive exponent:
(6^2/z^4)^3
Evaluate:
6^6/z^12
Can someone tell me what 5/6 x 9/10 is and explain it please don’t just give me a answer
which equation can be used to find the perimeter of regular with sides if length 12m
Answer:
p=8 (12)answer thanks for this question
The area of a square is given by x2, where x is the length of one side. Mary's original garden was in the shape of a square. She has decided to double the area of her garden.
It’s so early my mind can’t comprehend basic math, what does this mean.
Answer:
Explanation: The words "more than" in mathematical terms refer to the process of addition. In this case, we need to have 8 more than x , or x+8 . Hence, the answer, x+8
Solve the following inequality algebraically. |x - 2| > 11
Answer:
x<-9 or x>13 (- infinity, -9)U(13, infinity)
Jesse measured his height to be 67 inches. His actual height is 68.5 inches. What is the percent error for Jesse’s measurem
Carmen can spend at most $10 on lunch
Answer:
??
I need more context.
;-;
Andre is making paper cranes to decorate for a party. He plans to make one large paper
crane for a centerpiece and several smaller paper cranes to put around the table. It takes
Andre 10 minutes to make the centerpiece and 3 minutes to make each small crane. He will
only have 30 minutes to make the paper cranes once he gets home.
1. Andre wrote the inequality 3x + 10 < 30 to plan his time. Describe what x, 3x, 10,
and 30 represent in this inequality.
Answer:
x is the number of small cranes he can make
3x is the amount of time it takes to make all of those small cranes
10 is the amount of time it takes to make just the centerpiece
30 is how much time in total he has to make all of the paper cranes
Step-by-step explanation:
Answer:
x is the number of small cranes he can make
3x is the amount of time it takes to make all of those small cranes
10 is the amount of time it takes to make just the centerpiece
30 is how much time in total he has to make all of the paper crane
Step-by-step explanation:
A man runs 11 miles, turns and walks 9 miles, turns again and runs 6 miles returning to his starting point. What is the area of this triangle formed by his path?
Answer:
26.98
Step-by-step explanation:
was looking everywhere for the answer and couldnt find it so i just figured it out, here
9q + 5 = 77
What is Q ?