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2 years ago

Why is cereal is packaged in rectangular boxes?

Mathematics

1 answer:

dlinn [17]2 years ago

4 0

Answer:

A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.

Step-by-step explanation:

Try writing this on your own words if you want :)

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Kira deposited $3000 into an account with a 3.4% annual interest rate, compounded quarterly. Assuming that no withdrawals are ma

Andreas93 [3]

The time it will take for the investment to grow to $4500 is 11.97 years

<h3>Compound interest</h3>

The formula for calculating the compound interest is expressed according to the formula

P(t) = P(1+r/n)^nt

Given the following parameters

P0 = $3000

rate = 3.4%

time = t

P(t) = 4500

n = 4

Substitute

4500 = 3000(1+0.034/4)^4t
45/30 = 1.0085^4t

1.5 = 1.0085^4t

ln1.5 = 4tln1.0085

4t = ln1.5/ln1.0085

4t = 47.904

t = 11.97

Hence the time it will take for the investment to grow to $4500 is 11.97 years

Learn more on compound interest here; brainly.com/question/24924853

#SPJ1

6 0

1 year ago

Vanillaor chocolate?? xD lol >:>

deff fn [24]

Answer:

chocolate supremacy>>>

7 0

3 years ago

Read 2 more answers

Which set of side lengths could be used to make a triangle?

GarryVolchara [31]

Answer: 22, 8, 27

Step-by-step explanation: the sum of the 2 shorter sides must be greater than longest side

6 0

3 years ago

Read 2 more answers

100 POINTS (answer to get brainliest) What is the volume of the box if it is scaled down by a factor of 110?

Tanya [424]

Answer:

Volume is length times width times height. So, you would need to do 9 times 3 (27) times 10 (270). Then, you would divide by 10, because it is scaled down by 1/10, leaving you with 27.

Step-by-step explanation:

3 0

3 years ago

A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a city 33 miles north of the t

Paha777 [63]

Answer:

34.26miles from 49.58miles of the drive (69.11% of the drive).

Step-by-step explanation:

A problem of Analytic Geometry. This question can be solved using the resulting values from equaling the equations of the line (for the drive) and circle (with radius equals 30miles for radio transmitter broadcasting), and calculating the total distances from coincident points between circle and line, and total drive.

A graph is attached showing part of the circle and line with coincident points.

<h3>Line's Equation</h3>

Assuming transmitter is located (0, 0). From a city 33 miles north of the transmitter (0, 33) to a second city 37 miles east of the transmitter (37, 0).

Then, the equation for the line is (taking the two points from the start to the end):

$\\ y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}*(x-x_{1})$

$\\ y-33=\frac{0-33}{37-0}*(x-0)}$

$\\ y-33=\frac{-33}{37}*x}$

$\\ y=\frac{-33}{37}*x} + 33$ [1]

<h3>Circle's Equation</h3>

The equation for the circle whose center (0, 0) is:

$\\ (x-0)^2 + (y-0)^2 = 30^2$

$\\ x^2 + y^2 = 30^2$

$\\ y^2 = 30^2 - x^2$

$\\ y = \frac{+}{-}\sqrt{30^2- x^2}$ [2]

Equaling [1] and [2], to determine the points where starting to receive the radio transmitter signals to the point where finishing those signals:

$\\ \frac{-33}{37}*x + 33 = \sqrt{30^2- x^2}$

Solving this equation for <em>x</em>, we have two solutions for it (from <em>WolframAlpha</em>):

$\\ x_{1} = 40293/2458 - (111 \sqrt(80151))/2458 \approx 3.60775$

$\\ x_{2} = 40293/2458 + (111 \sqrt(80151))/2458 \approx 29.1774$

Then, using [1], the corresponding values for <em>y</em> are:

$\\ y_{1}=\frac{-33}{37}*(3.60775) \approx 29.78$

$\\ y_{2}=\frac{-33}{37}*(29.1774) \approx 6.97$

So,

$\\ (x_{1}=3.61, y_{1}=29.78)$

$\\ (x_{2}=29.18, y_{2}=6.97)$

Well, the distance of the drive is:

$\\ d = \sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$

$\\ d = \sqrt{(29.18-3.61)^2 + (6.97-29.78)^2}$

$\\ d \approx 34.2654$ miles.

The total distance traveled is:

$\\ d = \sqrt{(37-0)^2 + (0-33)^2}$

$\\ d \approx 49.5782$ miles

Thus, during the drive, the signal of the radio transmitter was picked up for 34.26miles from the total of the 49.58 traveled, that is, a fraction equivalent to $\\ \frac{34.2654}{49.5782} \approx 0.6911$ or 69.11% of the drive.

4 0

3 years ago