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3 years ago

7

How can polynomials be applied to financial situations?

2 answers:

Korvikt [17]3 years ago

7 0

In financial<span> planning, </span>polynomials<span> are used to calculate interest rate problems that determine how much money a person accumulates after a given number of years with a specified initial investment.</span>

cestrela7 [59]3 years ago

4 0

In financial planning, polynomials<span> are used to calculate interest rate problems that determine how much money a person accumulates after a given number of years with a specified initial investment.

Hope I Helped :))</span>

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A garden shop determines the demand function q = D(x) = 5x + 200 / 30x + 11 during early summer for tomato plants where q is the

cricket20 [7]

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

Step-by-step explanation:

Since we have given that

$D(x)=\dfrac{5x+200}{30+11}$

So, derivative w.r.t x would be

$D'(x)=\dfrac{5(30x+11)-30(5x+200)}{(30x+11)^2}\\\\D'(x)=\dfrac{150x+55-150x-6000}{(30x+11)^2}\\\\D'(x)=\dfrac{5945}{(30x+11)^2}$

As we know that

$E(x)=\dfrac{-xD'(x)}{D(x)}\\\\\\E(x)=\dfrac{\dfrac{-(-)5945x}{(30x+11)^2}}{\dfrac{5x+200}{30x+11}}\\\\\\E(x)=\dfrac{5945x}{(30x+11)(5x+200)}$

(b) Find the elasticity when x = 2.

So, we put x = 2, we get that

$E(2)=\dfrac{5945\times 2}{(30(2)+11)((5(2)+200))}\\\\E(2)=\dfrac{11890}{(60+11)(10+200)}\\\\E(2)=\dfrac{11890}{71\times 210}\\\\E(2)=\dfrac{11890}{14910}\\\\E(2)=0.7975$

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

(c) At $2 per plant, will a small increase in price cause the total revenue to increase or decrease?

The total revenue will also increase with increase in price.

As total revenue = $price\times quantity$

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

4 0

3 years ago

What is three times a number, minus 6, is equal to two times the number, plus 9

Usimov [2.4K]

3xN-6 = 2N+9
does this help or do you need the number

3 0

3 years ago

Read 2 more answers

In a lab experiment, 720 bacteria are placed in a Petri dish. The conditions are such that the number of bacteria is able to dou

MakcuM [25]

Answer:

22.4 hours

Step-by-step explanation:

The population of bacteria is modelled by the equation:

$P=P_0e^{rt}$

From the the question, the initial population of bacteria is 720.

So after 26 hours, we have:

$P=2P_0$

This implies that:

$2P_0=P_0e^{26r}$

$2=e^{26r}$

$26r = ln(2)$

$r = \frac{ ln(2) }{26}$

$r = 0.0267$

We want to find how long it will take for there to be 1310 bacteria present.

$1310=720e^{0.0267t}$

$\frac{1310}{720} = {e}^{0.0267t}$

$\ln(\frac{1310}{720}) = {0.0267t}$

$0.59853= {0.0267t} \\ t = \frac{0.59853}{0.0267}$

$t = 22.417$

To the nearest tenth , it will take 22.4 hours

6 0

3 years ago

Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1

aleksley [76]

Answer:

(-1,3)

y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

5x+8= -4x-15x+8=−4x−1

To solve for x , add 4x on both sides

9x+8=-19x+8=−1

Subtract 8 on both sides

9x=-99x=−9

Divide by 9 on both sides

x=-1x=−1

Now plug in -1 for x in the first equation and find out y

y=5x+8y=5x+8

y=5(-1)+8y=5(−1)+8

y=-5+8y=−5+8

y=3y=3

Ordered pair is (x,y) that is (-1,3)

Step-by-step explanation:

Mark me as brainliest plsss

8 0

2 years ago

Don't answer this please Brodies

Nitella [24]

Okeyuyyyyyyyyyyyyy but why did you post it then

8 0

2 years ago