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1 year ago

Alec starts up a monthly subscription potato box. It costs 18.20 dollars per month,

Mathematics

1 answer:

denis-greek [22]1 year ago

6 0

A. The formula (mathematical function) for the monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

B. Using the formula above, the value of R(10, 3) is $197.

<h3>What is a function?</h3>

A function is an expression, rule, or law defining the relationship between an independent variable and a dependent variable.

Functions are used to define physical relationships between variables.

<h3>Data and Calculations:</h3>

Cost monthly subscription = $28.20 per box

Number of normal potatoes in each box = 16

Cost of additional luxury potatoes = $5 per potato

If the monthly revenue function, R, is given as R(s, n) where:

s = number of monthly subscribers

n = total number of luxury potatoes ordered

The monthly revenue, R, earned by Alec, R(s, n) = <u>$18.20s + $5n</u>.

The value of R(10, 3) is $197 ($18.20 x 10 + $5 x 3)

Thus, using the formula above, the value of R(10, 3) is $197.

Learn more about mathematical functions at brainly.com/question/25638609

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Online jewelry sales have increased steadily over the last 10 years. In 2003, sales were approximately 2 billion dollars, and in

KiRa [710]

Answer: <em>(i) The unit rate at which online jewelry sales have been increasing is 1.33 billion dollars per year. </em>

<em>(ii) The online jewelry sales in 2019 will be 191.7 billion dollars.</em>

Step-by-step explanation:

In 2003, sales were approximately 2 billion dollars and in 2010, they were approximately 14.8 billion dollars.

(i) If $x$ is the number of years after 2003 and $y$ is the amount of sales....

then the equation will be: $y= ab^x$ , where $a$ is the initial amount and $b$ is the growth rate.

for 2003, $x=0$ and for 2010, $x=7$

So, the two points in form of (x, y) will be: $(0,2)$ and $(7,14.8)$

Now plugging these two points int the above equation....

$2= ab^0\\ \\ a= 2\\ \\ and\\ \\ 14.8=ab^7\\ \\ 14.8=2*b^7\\ \\ b^7=7.4\\ \\b= \sqrt[7]{7.4}=1.3309.... \approx 1.33$

Thus, the online jewelry sales have been increasing at a rate of 1.33 billion dollars per year.

(ii) As we got $a=2$ and $b=1.33$ , so the equation will be now: $y= 2(1.33)^x$

<u>For the year 2019, the value of</u> $x$ will be: (2019-2003) = 16

So plugging $x=16$ into the above equation, we will get.....

$y=2(1.33)^16\\ \\ y=191.7150... \approx 191.7$

<em>(Rounded to the nearest tenth)</em>

Thus, the online jewelry sales in 2019 will be 191.7 billion dollars.

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3 years ago

Solve the following equation for x. Round the answer to the nearest hundredth

jek_recluse [69]

Green beans are the

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2 years ago

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59

andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

$180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree$

So, we will use "Sine formula ":

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet$

Similarly,

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet$

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

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3 years ago

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M=p-2b/2 <br> p=57.4<br> b=8.7

Nostrana [21]

Given the value of p and b in the equation (( p-2b ) / 2 ), the value of m is 20.

<h3>What is the value of m?</h3>

Given that;

m = ( p-2b ) / 2
p = 57.4
b = 8.7
Value of m = ?

First, we substitute the value of p and b into the equation.

m = ( p-2b ) / 2

m = ( 57.4 - 2(8.7) ) / 2

m = ( 57.4 - 17.4 ) / 2

m = 40 / 2

m = 20

Given the value of p and b in the equation (( p-2b ) / 2 ), the value of m is 20.

Learn more about equations here: brainly.com/question/14686792

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