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saw5 [17]
3 years ago
5

Jericho is a botanist and is researching a particular species of plant. He found that the number of plants in his testing enviro

nment increases by 60% each year. The given function represents the number of plants in his testing environment after t years.
f(t)=30(1.60)^t

Which statement is true?

A.
The expression (1.38)6t reveals the approximate rate of increase in the number of plants when measured six times a year.
B.
The expression (1.48)2t reveals the approximate rate of increase in the number of plants when measured twice a year.
C.
The expression (1.01)6t reveals the approximate rate of increase in the number of plants when measured six times a year.
D.
The expression (1.26)2t reveals the approximate rate of increase in the number of plants when measured twice a year.
Mathematics
2 answers:
Phoenix [80]3 years ago
8 0

Answer:

c is the answer ;) hope this helps

Naddika [18.5K]3 years ago
8 0
C Is The Answer It’s The Only One That Makes Sense
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A rectangle has a height of 2x4 and a width of x2 + 8x + 15.
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Answer:

2x⁶ + 16x⁵ + 30x⁴

Step-by-step explanation:

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2 years ago
A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
dexar [7]

Answer:

The total revenue is TR=580x-10x^2.

The marginal revenue is MR=580-20x.

The fixed cost is $900.

The marginal cost function is MC=50x+300.

Step-by-step explanation:

The Total Revenue (TR) received from the sale of x goods at price p is given by

                                                         TR=p\cdot x

The Marginal Revenue (MR) is the derivative of total revenue with respect to demand and is given by

                                                       MR=\frac{d(TR)}{dx}

From the information given we know that the price they can sell cakes is given by the function p=580-10x, where x is the number of cakes sold per day.

So, the total revenue is

TR=(580-10x)\cdot x\\TR=580x-10x^2

And the marginal revenue is

MR=\frac{d}{dx}(580x-10x^2) \\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\MR=\frac{d}{dx}\left(580x\right)-\frac{d}{dx}\left(10x^2\right)\\\\MR=580-20x

The Fixed Cost (FC) is the amount of money you have to spend regardless of how many items you produce.

The Marginal Cost (MC) function is the derivative of the cost function and is given by

                                                   MC=\frac{d(TC)}{dx}

We know that the total cost function of the company is given by C=(30+5x)^2, which it is equal to

\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=30,\:\:b=5x\\\\\left(30+5x\right)^2=30^2+2\cdot \:30\cdot \:5x+\left(5x\right)^2=25x^2+300x+900\\\\C=25x^2+300x+900

From the total cost function and applying the definition of fixed cost, the fixed cost is $900.

And the marginal cost function is

MC=\frac{d}{\:dx}\left(25x^2+300x+900\right)\\\\MC=\frac{d}{dx}\left(25x^2\right)+\frac{d}{dx}\left(300x\right)+\frac{d}{dx}\left(900\right)\\\\MC=50x+300+0=50x+300

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Answer:

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Step-by-step explanation:

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2 years ago
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The cost of 12 oranges and 7 coples is 55.36. Eight oranges and apples cost $3.68. Find the cost
victus00 [196]

Hello there i hope you are having a good day :) Your question : The cost of 12 oranges and 7 couples is 55.36. Eight oranges and apples cost $3.68. Find the cost  of each : Firstly you would do oranges = O Apples = A. Then 12 oranges + 7 apples = 5.36 12o + 7A = 5.36 then you would take away from both sides so -12o Take away -12o = 7o = 5.36 - 12A now you would divide this by 7 so 7 cancels each out so you are left with 5.36/ 7 = 0.76 Then it would equal 0.76 - 12o/7 This would equal the amount of apples to be $0.76 each now for the oranges you would do the same that you work out for the apples.

Hopefully that help ya :)

4 0
3 years ago
Due to the economy and not wanting to eliminate any jobs, all state employees were asked to accept a 4.5% reduction in their sal
jeka94

Answer: The secretary's salary prior to the reduction was $42,000.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The original secretary's salary (x) multiplied by the percentage reduction in decimal form (4.5/100) must be equal to the amount of the reduction (1890)

Mathematically speaking:

x (4.5/100)= 1890

Solving for x:

x (0.045)= 1890

x = 1890/ 0.045

x = 42,000

The secretary's salary prior to the reduction was $42,000.

7 0
2 years ago
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