Austin deposits $2,250 into a one-year CD at an interest rate of
5.3%, compounded daily.
a. What is the ending balance after the year?

Answer:

85n >/= 1,045

Step-by-step explanation:

85 people times n buses has to equal or exceed 1,045 people

85n is greater than or equal to 1,045

85n >/= 1, 045

n >/= 12.29

So, since n has to be greater than or equal to 12.29, and there is no 29/100ths of a bus, they would need 13 buses (in case there's a follow-up question)

Please lmk if you have questions.

Answer:

n = 13

Step-by-step explanation:

Divide 1045 spectators by 85:

1045

---------- = 12.29

     85

Obviously it won't suffice to use 12 busses; this 12.29 must be rounded up to 13 busses.  n = 13

Answer:

It's J

Step by Step Explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{360 - 2(99)}{2} = \\ = \frac{360 - 198}{2} = \\ = \frac{162}{2} = \\ = 81[/tex]

Answer: 81°

Step-by-step explanation:

Angles on a straight line always add up to 180°.

So as a and 99° are on the same straight line you would have to do 180-99=81°

Hope this helps :)

Answer:

210

Step-by-step explanation:

15.75 divided by 3 equals 5.25

5.25 times 40 equals 210

Answer:

i am sorry i can not see it

Step-by-step explanation:

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Answer:

6.3 cm^3

Step-by-step explanation:

volume of a pyramid = 1/3(length x width x height)

perimeter of a square = 4 x length

6.9 = 4 x length

length = 6.9 /4 = 1.725

Volume = 1/3 x (1.725 x 1.725 x 6.4) = 6.348

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

Answer:

30°

Step-by-step explanation:

if correct pls mark brainliest

the answer to the problem is:

M = 1

Answer:

1) 28

2) 28

B) 1 and 1/2 hr

Answer:

5^8/5^x=5^6 the asnwer is 2

Answer:

the first graph

Step-by-step explanation:

change the two equations into the slop-intercept form: y = mx + b

=> y = 6 + x/5 => y = 1/5 x + 6                                          slope↑      ↑y-intercept

=> x = y/6 - 5 => 6x = y - 30 => y = 6x + 30

find the line with y-intercept = 6, slope = 1/5 and the other line with y-intercept = 30, slope = 6

Answer:

-3

Step-by-step explanation:

-3x+1=10

-3x=9

x=-3

Answer:

-3

Step-by-step explanation:

-3(-3)+1=10 hope this helped?

Answer:

,,,,,,,,,,,,,,,,,,,,,,,,,

The distance between the given points is 13 units and the coordinates of the midpoint of the segment is (4.5, 4, 6)

3D geometry refers to the mathematics of shapes in three-dimensional space and consists of 3 coordinates. These 3 coordinates are x-coordinate, y-coordinate and z-coordinate. In three-dimensional space, there is a requirement of three parameters for the purpose of finding the exact location of a point.

Given are two points in 3-dimension, (2,4,12) and (7,4,0), we need to find the distance between them, and the midpoint of the segment for which these are the endpoints,

Distance between two points in 3d is given by =

D = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Here, [tex](x_1, y_1, z_1)[/tex] = (2,4,12)

[tex](x_2, y_2, z_2)[/tex] = (7,4,0)

Therefore,

D = [tex]\sqrt{(7-2)^2+(4-4)^2+(0-12)^2}[/tex]

D = [tex]\sqrt{5^2+(-12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13

Therefore, the distance between the given points is 13 units.

Since, the midpoint divide the segment in 1:1 ratio,

Therefore,

(x, y, z) = [tex](\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2},\frac{z_2+z_1}{2} )[/tex]

(x, y, z) = [tex](\frac{7+2}{2}, \frac{4+4}{2},\frac{0+12}{2} )[/tex]

(x, y, z) = (9/2, 8/2, 12/2)

(x, y, z) = (4.5, 4, 6)

Hence, the distance between the given points is 13 units and the coordinates of the midpoint of the segment is (4.5, 4, 6)

Learn more about 3-dimensional geometry, click;

https://brainly.com/question/1829756

#SPJ3

Answer:

27 and 50

Step-by-step explanation:

they are both greater than the original side length of 20

Answer:

[tex]the \: third \: answer \: is \: correct[/tex]

Answer:

80 2

Step-by-step explanation:

am not sure about that answer i think it is correct

Answer:

40

Step-by-step explanation:

Answer:

equation

Step-by-step explanation:

the radius of the distance between the middle point of the circle and the outside, we have the diameter which is 6 so the radius will be 3

slant height is

[tex]\sqrt{r^2+h^2}[/tex]

h is 4.7 and r is 3

[tex]\sqrt{3^2+4.71^2} \\5.58427[/tex]

slant height is 5.58427

lateral surface area

[tex]\pi r\sqrt{h^2+r^2}[/tex]

[tex]\pi (3)\sqrt{4.71^2+3^2} \\52.63053[/tex]

lateral surface area is 52.63053

total surface area

[tex]\pi r(r+\sqrt{h^2+r^2})[/tex]

[tex]\pi 3(3+\sqrt{4.71^2+3^2})[/tex]

[tex]80.90486[/tex]

total surface area is 80.90486

The slant height of the cone is 5.6km, the total surface area is 50.4πkm, the lateral surface area is 16.8π km.

A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreases to a certain point.

The volume of a cone is (1/3)πr²h.

The total surface area of a cone is πr(r + l).

The curved surface area is πrl.

In the given question radius of the cone is (6/2) km = 3 km.

The slant height of the cone is 5.6 km.

The total surface area of the cone is = π×3(3 + 5.6) km.

= 3π(16.8) km.

= 50.4π km.

lateral surface area is = π×3×5.6 km.

= 16.8π km.

learn more about cones here :

https://brainly.com/question/23863102

#SPJ2

Answer:

Step-by-step explanation:

point-slope equation looks like  y-y1 = m(x-x1)

plug in the given point for x and y.... and the slope for m

y-9 = 3/2(x-6)

y-9 = 3/2x - 9

y = 3/2x

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Answer:

y = (x + 1)^2 + 2

Step-by-step explanation:

The graph is 2 units up and 1 unit to the left

a = 1 because from the vertex, it goes 1 up when left/right, then 4 up when left/right

Answer:

65°

Step-by-step explanation:

81°+124°+90° (right angle) = 295

360-295 = 65°

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2

Step-by-step explanation:

There is a common difference d between consecutive terms

d = 5 - 3 = 7 - 5 = 9 - 7 = 11 - 9 = 2

A recursive formula allows a term in the sequence be found by adding d to the previous term, then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 2 : with a₁ = 3

Answer:

-3

Step-by-step explanation:

3 cubed is 27 and since its a negative integer you keep the (-) symbol.

The would have been 3 if it asked for the negative cube root of -27

Answer:

60

Step-by-step explanation:

Central angle = intercepted arc