Answer:
-(a)^2 + a - 11
Step-by-step explanation:
N - T = -3(a)^2 + 2a - 5 - (-2(a)^2 + a + 6)
= -3(a)^2 + 2a - 5 +2(a)^2 - a - 6
= -3(a)^2 + 2(a)^2 + 2a - a - 6 -5
= -(a)^2 + a - 11
You decide to invest $800 for 6 years and you have a choice between two accounts. The first
pays 7% per year compounded monthly. The second plan pays 6.85% per year, compounded
continuously. Which is the better investment? Explain. *
Answer:
the first plan is better
this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher
2. the future value of option 1 is higher than that of option 2
Step-by-step explanation:
The effective annual rate can be used to determine which option is better
the option with the higher effective annual rate is the better option
Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.07/12)^12 - 1 = 7.23%
option 2
EAR = e^r - 1
2.7182818^0.0685 - 1 = 7.09%
2nd method of determining the better investment is to determine the future value of each option
Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08
option 2 = 800e^(0.0685 x 6) = 1206.60
option 1 has the higher future value
Answer:6757.62
Step-by-step explanation:
use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.
Which statements regarding the vertex of a quadratic function are true? Select all that apply.
Answer:
the rules regarding the vertex of a quadratic function are:
the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Hope This Helps!!!
On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15) what is the distance from the school to the theater
Answer:The distance from the school to the theater = 18 units
Step-by-step explanation:
Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.
Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).
So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]
[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]
Hence, the distance from the school to the theater = 18 units
sara is painting her house. to paint the second floor, she needs to lean her 15 foot ladder against her house to reach a point that is 11 feet above the ground
A) What is the angle of elevation that Sara's ladder will form with the ground?
B) How far from the base of the house should Sarah place the base of her ladder?
For A)
arcsin(11/15)=angle of elevation
47.17=angle of elevation
For B)
tan(47.17)=11/x
11/tan(47.17)=x
10.2=x
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
============================================================
Explanation:
Point H is at (-2,2) and J is at (4,-2)
Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.
The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.
The midpoint is at (1,0). That's why the answer is choice C.
--------------------------
This next section is optional.
Points I and K are located at (4,3) and (-2,-3) respectively
Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1
Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0
We end up with the same midpoint (1,0)
The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.
Answer:
C is the correct answer
Step-by-step explanation:
if G is the number of seconds that a traffic light says green and n is the average number of cars in each lane per light cycle, then the relationship would be G= 2.1n + 3.7
if the light stays green for 70 seconds then how many cars can cross the intersection in one cycle?
(linear equations)
Answer:
31.57 cars is the answer rounded to the hundredth, but since its cars you might want to put just 31 since half a car cant pass through. it depends on what your teacher wants really.
Step-by-step explanation:
70=2.1n+3.7
70-3.7=2.1n
66.3=2.1n
66.3/2.1=n
31.57=n
Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378
Answer:
a) 11,129
b) 2,625,966
I think that the answer
rewrite the following linear equations in general form
can someone help explain how to do this?
Answer:
5y = x +15
Step-by-step explanation:
here you have to multiply both sides with 5 to make it a general form ,
5(y) = 5(1/5x) + 5(3)
5y = x + 15
Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.
Hope this helps. :)
Help me with this question too
Answer:
The one on the right
Step-by-step explanation:
Because it is 4 then 3
Answer:
the second one (the one to the right)
Step-by-step explanation:
A square is inscribed in a circle. If the area of the square is 9 in^2, what is the ratio of the circumference of the circle to the area of the square?
Answer:
√2π / 4
Step-by-step explanation:
Help help pls pls help help
Multiply the top equation and the bottom by 7.
Answer:
The answer is D: Multiply the top equation by 3 and the bottom equation by 4
Step-by-step explanation:
when you do that, the coefficients for the x on the top and bottom equations both become 12, so you would have to subtract the 2 equations to get rid of x.
let A=(1,2,3,4,5)which of the following sets are equal to A?
1.=(4,1,2,3,5)
2.=(1,2,3,4,5,6)
3.(x:x is interger & xsquare ≤ 25)
4.(x:x is a positive integer and x ≤5)
5.(x:x is a whole number and ≤ 5)
Answer:
1. (4,1,2,3,5)
Step-by-step explanation:
Since all the members of set A are present in "1"
Three Bell ringing constituency in intervals of 30,36 and 45 minutes respectively. At what time will they ring together again if they ring simultaneously at 8:00 a.M.
Answer:
The bells will ring simultaneously at 11.00 a.m
Step-by-step explanation:
Firstly, what we have to do here is to get the lowest common multiple the three numbers
The numbers are the given minutes
These are 30,36 and 45 minutes
The lowest common multiple of these three is 180 minutes
Now, we convert this to hours
60 minutes = 1 hour
180 minutes = x hours
x * 60 = 180 * 1
x = 180/60
x = 3 hours
If we added this to 8 am, we have 8 + 3 = 11 a.m
Put these numbers in order from greatest to least.
3/7,1/6,5/6, and 0.14
please help me
No guess
Answer:
C. -7 or C. Negative seven
Evaluate f(3)
A. 18
B. 12
C. 4
D. 21
Answer:
the answer is c you will thank us later
Help please ASAP ASAP ASAP
Answer:
-3/2
Step-by-step explanation:
simply make y the subnext of the equation
Answer:
Step-by-step explanation:
3x - 2y = 18
-2y = - 3x + 18
y = 3/2 x - 9
slope of a parallel line would be M = 3/2
What is a name for the marked angle?
Chose 1 answer
<EAD (2nd option)
The angle (going clockwise) goes from the line with point E on, to point A, to the line with point D on.
Not a fan of how they're naming the angles (seems messy to me) but yeah it's the 2nd one
Math III WSD CRC QT 1.25 CR
Which expression illustrates the associative property of addition?
O (3 + 19) – 12 = (3 + 12) – 19
3+ (19 - 12) = 3 + (19 + 12)
(3 + 19) - 12 = 3+ (19 - 12)
3+ (19-12) = 3 - (19 + 12)
Which expression illustrates the associative property to addition?
Answer:
5ff5yvy hh h
Step-by-step explanation:
ctvtvh j h h h j
How do I solve this?
Answer:
Step-by-step explanation:
First, let's find the area of the triangle. The Area of a triangle can be modeled as
b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24
To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16
16pi= approximately 50.24
50.24/2= 25.12
25.12 + 16 = 41.12
The area of the figure is approximately 41.12 ft^2
Hope this helps and please mark me brainliest, it really helps!
:)
Answer:
49.12 ft²
Step-by-step explanation:
The compound figure includes both a right angled triangle and a semi-circle. To find the area of the figure, it is best to find the area of both shapes then add them.
Area of semi-circle = (πr²) ÷ 2
= (3.14 × 4 × 4) ÷ 2
= 50.24 ÷ 2
= 25.12 ft²
Area of triangle = [tex]\frac{1}{2}[/tex]bh
= [tex]\frac{1}{2}[/tex] × 6 × 8
= 24 ft²
Area of compound figure = Area of semi-circle + Area of triangle
= 25.12 + 24
= 49.12 ft²
Someone please help me with this :/
5.Express the number 0.307 x 10-Bin
scientific notation,
A
3.07 x 10-9
B
3.07 x 10-6
3.07 x 10-1
3.07 x 10-8
Answer:
A
Step-by-step explanation:
Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.
The Spanish club was selecting which carnival booths to sponsor at the fall
carnival from a list of twelve. How many different ways can they choose two
booths from a selection of twelve?
Answer:
66
[tex]\frac{12!}{2!\left(12-2\right)!} =66[/tex]
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
what's 1/9 of 22 hours
Answer:
[tex]2\frac{4}{9}[/tex] hours
Step-by-step explanation:
22 ÷ 1/9 = 2 4/9
Hope this helps
4x-5y+2x+4+6+9y+7x+2
Answer:
[tex]13x+4y+12[/tex]
Step-by-step explanation:
Combine all the like terms & then solve:
[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]
[tex]13x+4y+12[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]
Combining like terms, we have
= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]
= [tex] \: 13x + 4y + 12[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
The formula below gives the area of a semi-circle, A, with a radius of r.
Solve the formula for the radius
The area of a semicircle with respect to radius is √2A/π sq. units.
What is a semicircle?A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.
The area of a semicircle = π × radius² / 2
So, the area with respect to radius will be =
A = π × radius² / 2
2A = π × radius²
2A / π = radius²
Radius = √2A/π
Hence, the area of a semicircle with respect to radius is √2A/π sq. units.
Learn more about semicircles, click;
https://brainly.com/question/30023569
#SPJ7
y(0.5 + 4)
PLEASE HELP!!
Answer: 8
Step-by-step explanation:
Answer:
4.5y
Step-by-step explanation:
0.5y + 4y
4.5y
please help me answer this
Answer:
pie
Step-by-step explanation:
What is the value of the expression?
8 1/2-2+4 3/4
what is the perimeter of semicircle with radius of 3cm
Answer:
198/7
Step-by-step explanation:
perimeter of semi circle= (pi) x r + d
= 22/7 x 3 + 6
= 198 cm
Answer:
15.42 cm
Step-by-step explanation:
perimeter of semicircle = πr + 2r
=3.14*3 + 2*3
=9.42 + 6
=15.42
distributive law to simplify 15x13 + 15x17
Answer:
420 is the answer
hope it helps
Step-by-step explanation:
plz mark me brainleast