MATHEMATICS COLLEGE

What is the circumference of a circle with a diameter of 14 cm? Approximate using pi equals 22 over 7.22 cm
44 cm
154 cm
616 cm

Answers

Answer 1

Answer:

Answer: 154 cm is the answer

Step-by-step explanation:

Answer 2

Answer:

Answer:

154 cm

Step-by-step explanation:

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A computer shop sold 400 computers last month. And 523 computers were sold this month. What is the percentage increase?

Answers

The increase was 45%

Answer:

The percentage increase is %30.75

Step-by-step explanation:

Subtract 400 from 523 to get the difference so you know how much more wawas sold in units of computers. Since it was increased by 123 you need to find out out what percentage of 400 123 is. This equals 30.75.

A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant.(a) Find the elasticity.
(b) Find the elasticity when x = 2.
(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

Answers

Answer: a) $E(x)=(-5945)/((30x+11)(5x+200))$ , b) 0.7975, demand is inelastic, c) increase.

Step-by-step explanation:

Since we have given that

$D(x)=(5x+200)/(30+11)$

So, derivative w.r.t x would be

$D'(x)=(5(30x+11)-30(5x+200))/((30x+11)^2)\n\nD'(x)=(150x+55-150x-6000)/((30x+11)^2)\n\nD'(x)=(5945)/((30x+11)^2)$

As we know that

$E(x)=(-xD'(x))/(D(x))\n\n\nE(x)=((-(-)5945x)/((30x+11)^2))/((5x+200)/(30x+11))\n\n\nE(x)=(5945x)/((30x+11)(5x+200))$

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

$E(2)=(5945* 2)/((30(2)+11)((5(2)+200)))\n\nE(2)=(11890)/((60+11)(10+200))\n\nE(2)=(11890)/(71* 210)\n\nE(2)=(11890)/(14910)\n\nE(2)=0.7975$

Since, 0.7975 < 1, so the demand is inelastic.

The total revenue will also increase with increase in price.

As total revenue = $price* quantity$

Hence, a) $E(x)=(-5945)/((30x+11)(5x+200))$ , b) 0.7975, demand is inelastic, c) increase.

Final answer:

This problem involves the calculation of the elasticity of a demand function using the derivative of the function. The elasticity is then used to analyze the effect on the total revenue when the price changes. The elasticity at a specific point is calculated and used for further analysis.

Explanation:

For part (a), to find the elasticity of the demand function, we need to use the formula for the price elasticity of demand, which is E = (dQ/dX) * (X/Q). Here, dQ/dX is the derivative of the demand function concerning X. This needs to be calculated first. The value of E provides us with the measure of elasticity.

For part (b), when x = 2 we substitute this value into the formula for E to get the elasticity at x = 2.

For part (c), based on the concept of elasticity, if E > 1, the demand is said to be elastic and a price decrease will result in an increase in total revenue, and vice versa. If E < 1, the demand is said to be inelastic and a price decrease will result in a decrease in total revenue, and vice versa. So, after calculating E at x = 2, we can use it to determine the effect on total revenue.

Learn more about Elasticity of Demand here:

brainly.com/question/31293339

#SPJ11

A city has two water towers. One tower holds 7.35 x 10 with an exponent of 5, gallons of water and the other tower holds 9.78x 10 with an exponent of 5, gallons of water. What is the combined water capacity of the two towers?

Answers

The combined capacity of the two tower would be 17.13 x 10^5 gallons of water.

How does scientific notations work?

We just ignore the 10^5, because the two numbers have the same exponent and repeat it on the result of the normal sum between the numbers.

But, for example,

5 x 10^4 + 5 x 10^5

We need to equal the exponents to do the sum without having to multiply all those tens;

5 x 10^4 + 50 x 10^4

= 55 x 10^4

or 0.5 x 10^5 + 5 x 10^5

= 5.5 x 10^5

Now returning to the question;

7.35 + 9.78 = 17.13

17.13 x 10^5

7.35 x 10^5 = 735,000

9.78 x 10^5 = 978,000

735,000 + 978,000 = 1,713,000

Or: 1713 x 10^3 or 17.13 x 10^5

The combined capacity of the two tower would be 17.13 x 10^5 gallons of water.

Learn more about scientific notation here:

brainly.com/question/3112062

#SPJ2

Sum with scientific notation. We just ignore the 10^5, because the two numbers have the same exponent and repeat it on the result of the normal sum between the numbers.

But, for example, if we had:

-> 5 x 10^4 + 5 x 10^5

We would need to equal the exponents to do the sum without having to multiply all those tens.

5 x 10^4 + 50 x 10^4
= 55 x 10^4

or 0.5 x 10^5 + 5 x 10^5
= 5.5 x 10^5

*They are the same results.

Now returning to the question:

-> 7.35 + 9.78 = 17.13
-> 17.13 x 10^5

You can prove it yourself:

-> 7.35 x 10^5 = 735,000

-> 9.78 x 10^5 = 978,000

-> 735,000 + 978,000 = 1,713,000

Or: 1713 x 10^3 or 17.13 x 10^5

Answer: The combined capacity of the two tower is 17.13 x 10^5 gallons of water.

7X minus one equals 6X -1 fin th value of x

Answers

Given the x or y value of a 2-variable equation solution, find the value for the other variable in the solution. Practice solving one-variable equations like 20 - 7x

SADIDA NEEDED TO REORDERSHIRTS FOR HER CLOTHING STORE.
SHE ORDERED 63 MEDIUM SHIRTS
AND 27 LARGE SHIRTS, WHAT WAS
THE RATIO OF MEDIUM TO LARGE
SHIRTS?

Answers

ratio of medium shirts to large shirts

63/27

=7:3 [Ans]

Find the slope Y=5x+12

Answers

Answer: The slope = 5.

Step-by-step explanation:

The equation of a line in the slope -intercept form is given by :-

$y=mx+c$

,where m= slope , c= y-intercept.

The slope of a line represents the rate of change of y with respect to x.

Given: Equation of line : Y= 5x+12

Here Slope (m)=5

Hence, the slope = 5.

Hi!

$\spadesuit$ We're given an equation in slope-intercept form:

$\clubsuit~~~\Large\boldsymbol{y=mx+b} ~~~\clubsuit$

Where:

$\diamondsuit~~~\large\boldsymbol{m- > slope}$

$\diamondsuit~~\large\boldsymbol{b- > y-intercept}$

Notes:

Please remember that the slope is the coefficient of x (the number that comes just before x; in 5x, the coefficient of x is 5), and the y-intercept is added to or subtracted from the slope.

Therefore,

$\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:5}\n\bold{12}\end{cases}}}}$