answer choices:
a. 122
b. 102
c. 138
d. 85

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.

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

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

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]

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

Answer:

a) 11,129

b) 2,625,966

I think that the answer

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

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)

Answer:

pie

Step-by-step explanation:

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. :)

Answer:

III

Step-by-step explanation:

you got this, man! good luck [:

The area of a semicircle with respect to radius is √2A/π sq. units.

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

Answer:

the answer is c you will thank us later

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]

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

Answer:

√2π / 4

Step-by-step explanation:

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

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!!!

============================================================

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:

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

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:

<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

Answer:

C. -7 or C. Negative seven

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.

Answer:

5ff5yvy hh h

Step-by-step explanation:

ctvtvh j h h h j

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Answer:

why arent you doing the quiz yourself do it yourself thats cheating.

Step-by-step explanation: