Two different banks, Bank A and Bank B, offer accounts with exactly the same annual interest rate of 6.85%. However, the account from Bank A has interest compounded monthly, whereas the account from Bank B compounds interest continuously. To decide which bank to open an account with, you calculate the amount of interest you would earn after three years from an initial deposit of $5000 in each bank’s account. How much interest would you earn from each account? Which bank’s account earns more – and how much more?

Answer:

D

Step-by-step explanation:

The maximum value is the y- coordinate of the vertex

Given a quadratic in standard form , y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = - x² + 6x + 5 ← is in standard form

with a = - 1 and b = 6 , then x- coordinate of vertex is

x = - [tex]\frac{6}{-2}[/tex] = 3

Substitute x = 3 into the function for y- coordinate of vertex

y = - 3² + 6(3) + 5 = - 9 + 18 + 5 = 14

maximum value is 14 → D

Answer:

50%

Step-by-step explanation:

it is always 50%

the probability would not change even if you had 100 boys in a row

Answer:

3×0+1=1

Step-by-step explanation:

i hope that helps

Answer:

it is an outlier !!!!!

Answer:

A and B

Step-by-step explanation:

96% of 25

= [tex]\frac{96}{100}[/tex] × 25 ( per cent means out of 100 ) → A

= 0.96 × 25 ( divide 96 by 100 ) → B

Answer:

84

Step-by-step explanation:

LengthxWidthxHeight.

6x2x7=84

The point which is located at (2,0) is A, the correct option is 1.

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The coordinates = (2,0)

Now,

The coordinates of point A = (2,0)

The coordinates of point B = (0,2)

The coordinates of point C = (-2,0)

The coordinates of point D = (0,-2)

Therefore, by the graph the answer will be Point A.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

Answer:

9.4

Step-by-step explanation:

Given :

LM= 22, NO = 6, and LN= 14 ; MO = x

Since O bisects the triangle ;

LN / NO = LM / MO

14 / 6 = 22 / x

Cross multiply :

14 * x = 22 * 6

14x = 132

Divide both sides by 14

14x/14 = 132 / 14

x = 9.428

x = 9.4 ( 1 decimal place)

Answer:

16

Step-by-step explanation:

Answer:

use a net to fin surface area of a prism by multyplying 10 to the power of 50

Step-by-step explanation:

Answer:

To find the total surface area of a prism, you need to calculate the area of two polygonal bases, i.e., the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

Step-by-step explanation:

Answer:

B is 5/8

Step-by-step explanation:

Note: 4/8 = 1/2 and 6/8 = 3/4

Answer:

{x}^{2}+5x+6

x  

2

+5x+6

Step-by-step explanation:

Answer:

If your doing it on usa tp and have a through e is b and e

Step-by-step explanation:

The two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Given the following data:

To convert the value of speed in feet per seconds to kilometers per hour:

Speed can be defined as the distance covered by an object per unit time. Also, it is usually measured in meter per seconds (m/s).

Conversion:

1 ft/s = 1.09728 km/hr.

156 ft/s = X km/hr.

Cross-multiplying , we have:

[tex]X=156 \times 1.09728[/tex]

X = 171.1757 km/hr.

Note:

1 feet = 12 inches.

156 feet = [tex]156 \times 12[/tex] = 1872 inches.

Next, we would convert this value to inches per minute:

156 ft/s = [tex]1872 \times 60[/tex] = 112,320‬ inches per minute.

Therefore, the two (2) statements that are correct about this conversion are:

B) 156 ft/s = 112,320 in/min

E) 156ft 1s x 60s 1min x 12in 1 ft.

Read more on speed here: https://brainly.com/question/10545161

Answer:

hihi

Step-by-step explanation:

Answer:

inspiringwords love it so much

Step-by-step explanation:

Answer:

Option A

The volume of prism is, [tex]180^{3}[/tex]

Step-by-step explanation:

From the given figure, we have

The length of the triangular prism is 6 units.

Since in the triangular cross-section we have the base (b) equals 5 units and the height (h) equals 12 units.

Using Volume of triangular prism formula: - A triangular prism whose length is l units, and whose triangular cross-section has base b units and height h units, then,

Volume(V) of the triangular prism in the cubic unit is given by;

[tex]V=\frac{1}{2}bhl[/tex]

Putting the values of [tex]l=6[/tex] unit, b=5 unit and h = 12 unit.

⇒  V = 1/2 × 5 × 6 × 12

on solving we get;

[tex]V=180^{3}[/tex]

therefore, the volume of the prism is [tex]180^{3}[/tex].

(brainliest would really help, thanks >:3)

Answer:

r = 3 ft

Step-by-step explanation:

A = πr²

9π = πr²

9π/π = r²

9 = r²

√9 = r

3 = r

Hope this helps!

Isolate the variable x and bring it on one side

then solve the equation

Hope this helps

Answer:

Poem:

Function is binary relation of two sets

have a single output but

not Function is having no function

have multiple output.

Range is a function refer to two closely concepts

but

Domain is a set of possible input values with concepts.

All the function are relation but

not all relation are function.

Relation is a collection of ordered pair but

imaginary is a collection of complex number written in imaginary unit.

Vertical line is parallel to y-axis but

horizontal line is parallel to x-axis.

Answer:

34 i think

Step-by-step explanation:

if the sum is 180  then

18+28+100+34

sorry if its wrong

Answer:

The dog has 1357.5 square feet of running space.

Step-by-step explanation:

48 feet is the diameter of the circle in which the dog can run, minus 1/4 of the total circle (assuming the dog can not run through walls).

The formula of how to find the area of a circle is...

A =  π r²

A stands for area, pi(π) is 3.14, and r means radius.

Radius is half of the diameter, so the radius would be 24 feet. Let's plug those numbers into the formula:

A = π x 24²

A = π x 576

A = 1809.56 square feet

Now, we have to subtract 1/4 of 1810 (rounded up).

1810 times 0.75 = 1357.5 feet.

I hope this helps you! :-)

Answer:

A

Step-by-step explanation:

A triangle with two angels that mesure 40

Answer:

should be 1213

Step-by-step explanation:

27×27=728

22×22=485

729+485= 1213

Answer:

The lateral surface is 212

Step-by-step explanation:

Lateeal surface area is = Ph

12+12+10+10(15)=212

Answer:

La base del soporte mide 58.3 cm.

Step-by-step explanation:

Dado que los monitores que están fabricando están apoyados en un soporte triangular, si el monitor mide 50 cm y debe tener una altura de 30cm, para determinar cuánto mide la base del soporte se debe realizar el siguiente cálculo utilizando el teorema pitagórico:

50^2 + 30^2 = X^2

2,500 + 900 = X^2

3,400 = X^2

√3,400 = X

58.30 = X

Por lo tanto, la base del soporte mide 58.3 centímetros.