Answer:
$250*C + $180*G = $950
Step-by-step explanation:
Solving for G, it is G = (950 - 250C)/180
Solving for C, it is C = (950 - 180G)/250
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.
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
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:
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
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:
please help me
No guess
Answer:
C. -7 or C. Negative seven
find the next two terms. & choose the correct type of sequence.
Answer:
why arent you doing the quiz yourself do it yourself thats cheating.
Step-by-step explanation:
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinates of the point N is (2,3)
Step-by-step explanation:
For us to find the midpoint between two points
We use the midpoint formula which is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
We start by finding the midpoint of AB to get the coordinates of the point M
A(-1,3) and B(7,-3)
(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)
Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N
C(1,6) and M (3,0)
(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
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
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!!!
Pls help me with this equation
Answer:
x = 20
Step-by-step explanation:
Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent
∠ CBD = ∠ BCD = 40° , then
∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle
Sum the 3 angles of Δ ACD and equate to 180
20 + 100 + x + 40 = 180
160 + x = 180 ( subtract 160 from both sides )
x = 20
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
Does someone know what the answer is? Please, help.
Answer:
III
Step-by-step explanation:
you got this, man! good luck [:
Put these numbers in order from greatest to least.
3/7,1/6,5/6, and 0.14
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
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
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]
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. :)
Brainly to whomever solves for x and y. Will report scams and the unhelpful "what" answers!
Answer:
[tex]x=\frac{125}{6},\\y=11[/tex]
Step-by-step explanation:
The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:
[tex]7x-15+5x-5y=180[/tex]
The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.
Therefore, we have the following system of equations:
[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]
Combine like terms:
[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]
Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:
[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]
Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:
[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]
Verify that these two solutions work:
[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]
Let t=4 and u=6+2i. Find t+u.
The answer for the following question is 12i.
Answer:
t + u = 10 + 2i
Step-by-step explanation:
t + u
= 4 + 6 + 2i ← collect like terms
= 10 + 2i
PLEASE HELP!!!
Write the factored form of the least common denominator needed to simplify this expression
Answer:
(g+5)x(g-3)
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:
Evaluate f(3)
A. 18
B. 12
C. 4
D. 21
Answer:
the answer is c you will thank us later
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
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 perimeter of the square below is 36 yards. What is the length of each side?
Answer:
A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four
Answer:
9 yards
Step-by-step explanation:
A square has 4 congruent sides
Given the perimeter, the sum of the 4 sides is 36 yards, then
length of side = 36 ÷ 4 = 9 yards
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
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
3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM?
please help me answer this
Answer:
pie
Step-by-step explanation:
