in January 2010, Diana invested $4,500 in an account that paid interest compounded annually. the table showstopper balance of the account at different times. what was Diana's balance, in dollars and cents, in January 2014. the numbers on the table are, For the month Jan. 2011-$4,635.00
Jan. 2012-$4,774.05
Jan. 2013-$4,917.27​

Answer:

The answer is 73/30

Step-by-step explanation:

Answer:

73/30 or2.43

Step-by-step explanation:

Answer:

0.9973

Step-by-step explanation:

Given :

Probability of girl, probability of success , 1 - p = 1 - 0.519 = 0.481

1 - p = 0.481

n = 9

Probability that atleast one is girl

Usingbthe binomial probability distribution :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

USing the binomial probability calculator :

p(x ≥ 1) = p(x=1) + p(x=2) + p(x=3) + p(x=4) + p(x=5) + p(x=6) + p(x=7) + p(x=8) + p(x=9)

p(x ≥ 1) = 0.9973 ( from calculator).

Answer:

[tex]\dfrac{dV}{dt}=502.65\ mm^3/s[/tex]

Step-by-step explanation:

The volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

The rate of change of volume means,

[tex]\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}[/tex]

We have, [tex]\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm[/tex]

So,

[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s[/tex]

So, the volume is increasing at the rate of [tex]502.65\ mm^3/s[/tex].

Answer:

width of rectangle is 9m

Answer:

C

Step-by-step explanation:

14/21 = 2/3 = .666666666666666666666.....7

Answer:

18

Step-by-step explanation:

triangle formula = b x h /2

half of 8/2= 4

9 x 4= 36

36/2= 18

Answer:

The surface area of this cylinder is 3545 cm²

∵ π =

∴ The lateral area = 24 × × 35.

∴ The area of the base = × (12)² = (144) = 452 cm²

∴ The surface area = 2640 + 2(452 ) = 3545 cm²

∴ The surface area of this cylinder is 3545 cm²

Step-by-step explanation:

Hope it is helpful.....

Answer:

117.2

Step-by-step explanation:

I hope this helps a little bit.

Answer:

336 of them were teenagers

Answer:

There are 336 teenagers at the concert.

Step-by-step explanation:

You are welcome

An axiomatic system consists of some undefined terms (primitive terms) and a list of statements, called axioms or postulates, concerning the undefined terms. One obtains a mathematical theory by proving new statements, called theorems, using only the axioms (postulates), logic system, and previous theorems.

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:

Answer:

16.....................................

17.....................................

18.....................................

19.....................................

20.....................................

Answer:

the answer is 1 over 12

Answer:

Step-by-step explanation:

As we know, the four angles of the rectangle are 90°.

So, we need to find ∠AEB first.

∠AEB=180-44-90 (∠s sum of Δ)

= 46°

We can then work out x.

x=180-59-46 (adj. ∠s on st. line)

x=75°

Answer:

37

Step-by-step explanation:

14 + 8 + 15

Answer: 1680³

Step-by-step explanation:

length x width x height

14 x 15 x 8

Answer:

7.5

Step-by-step explanation:

60/8

7.5

x=7.5

Answer:

X= 7.5

Step-by-step explanation:

Answer:

159 hwqb Step-by-step explanation:2n3wq,brudj32nwqrdb3wndj32wsd

Answer:

no answer choices i cant help

Step-by-step explanation:

moan

Answer:

y=8x+1

Step-by-step explanation:

The slope is a positive 8 because the line is going upwards. Slope equals rise over run. The rise is 8 units, and the run is 1 positive unit since it is going to the right. So 8/1 is 1. There's a +1 in the equation because the y-intercept is at positive 1. The y-intercept is where the line crosses the y-axis (vertical line). Here, the line crosses it at 1.

Answer:

x=14 and y=7

Step-by-step explanation:

This is a 30-60-90 triangle

So in terms of x it would be [tex]x-x\sqrt{3} -2x[/tex]

If across the 60 is [tex]7\sqrt{3}[/tex] then y would be 7 which is across the 30 degrees

And x would be 14 because 2(7)=14

Answer:

expression because an equation has to have a plus +×÷ or divsion sign to be an equation

Answer:

[tex]\displaystyle d \approx 3.6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Reading a Cartesian Plane

Algebra II

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A(-2, 1)

Point B(1, -1)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

3.6 units

Step-by-step explanation:

Point A --> [tex]x_{1} \\[/tex] = -2 , [tex]y_{1}[/tex] = 1

Point B --> [tex]x_{2}[/tex] = 1   , [tex]y_{2}[/tex] = -1

AB =

[tex]\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2 } \\\sqrt{[1 - (-2)]^2 + [(-1) - 1]^2} \\\sqrt{3^2 + (-2)^2} \\\sqrt{9 + 4} \\ \sqrt{13} \\3.605[/tex]

distance between AB can be rounded to 3.6 units

Hope it helps.

Answer:

surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.

Step-by-step explanation:

Answer:

O, A, T, and I

Step-by-step explanation:

the y coordinate is bigger than the x coordinate

Answer:

A

Step-by-step explanation:

It says the both dimensions are 30%. So, it we do 31 divided by 6, it would be 5 with a remainder of one, which is also equal to 5.1. If we then multiply it by 4, then divide by 9, that would be .03.

Answer:

$36.00 i think

Step-by-step explanation: