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VARVARA [1.3K]
3 years ago
15

I need help on this homework question please

Mathematics
1 answer:
zheka24 [161]3 years ago
3 0

(a) In functional notation, you are asked for C(600).

For this, put 600 where t is in the functional notation C(t).

(b) The value multiplying 8 is 0.5 when the exponent of 0.5 is 1. That is

... t/5730 = 1

Multiplying by 5730 gives

... t = 5730

It will take 5730 years for half the Carbon 14 to be gone.

___

Or, you can recognize a fraction is 1 when its numerator is the same as its denominator. That is t/5730 = 5730/5730 = 1 when t=5730.

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The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectan
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Answer:

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that \theta +2\theta =90 (because angle between two sides is 90)

3\theta =90

\theta =30^{\circ}

width of rectangle is b=a\sin \theta =\frac{a}{2}

Length of rectangle is L=a\cos 30=\frac{\sqrt{3}}{2}a

Area of rectangle A=L\cdot b

A=\frac{\sqrt{3}}{2}a\times \frac{a}{2}

A=\frac{\sqrt{3}}{4}a^2

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3 years ago
tony is taking a 5 year loan in the amount of $15,000. The interest is continuously compounded at an annual rate of 7%. How much
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Answer:

$21,038.28

Step-by-step explanation:

Use the equation 15000(1.07)^5 since 1.07 equals to 7% and you are loaning more money to Tony's account for 5 years.  You should get $21,038.28 as your result.

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3 years ago
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What type of triangle ALWAYS has three equal sides?
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Answer:

equilateral triangle

equilateral triangles are triangles with three equal sides

equiangular triangles are triangles where all e angles are the same

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Nolan has $20 in his bank account and can save $10 each week from doing chores. He wants to save more than $85 for a new video g
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He will have to save up for 7 weeks for the new video Game

Step-by-step explanation: Simple Math

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The following statistics represent weekly salaries at a construction company.
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Answer:

The most common salary is $605. The salary that half the employees salaries surpass is $630. The percent of employees salary that serve because $700 is 75%. Percent of employees salaries that were less than $480 is 25%. The 9% percent of employees salaries this surpass $891 years. The total weekly salary of 104 employees is 57200.

Step-by-step explanation:

It is given that mean is $550, first quartile is $480,  median is $630, third quartile is $700,  mode is $605 and 91st percentile is $891.

First quartile is at 25% of the data, median is at 50% of the data, third quartile is at 75% of the data.

The mode of a set of data values is the value that occurs most often.

The most common salary is mode, therefore the most common salary is $605.

The salary that half the employees salaries surpass is $630. Because median is the half of the data.

The percent of employees salary that serve because $700 is 75%. Because $700 is third quartile.

Percent of employees salaries that were less than $480 is 25%. Because $480 is first quartile.

The percent of employees salaries this surpass $891 years is 9%. Because $891 is 91 percentile. Therefore 9% employees get more than $891.

If the company has 104 employees than the total salary of employees is

104\times 550=57200

because means is $550, therefore the total weekly salary of 104 employees is 57200.

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