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Mila [183]
3 years ago
5

a formula that can be determined A, the amount in an account that earns simple interest, where P is the principal, r is the annu

al interest rate expressed as a decimal, and t is the time in years since the principal was deposited in the account
Mathematics
1 answer:
Sergio039 [100]3 years ago
8 0

Answer:

A = P(1 + rt)

Step-by-step explanation:

The principal of the amount P is deposited in an account that earns simple interest.

The interest that the account earns is r annual interest rate expressed as a decimal.

The principal P is invested for t years.

Therefore, the matured amount A will be given by  

A = P(1 + rt)

Hence, this is the formula that can calculate the A if P, r and t are known. (Answer)

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A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he
Nina [5.8K]

The maximum units is 200 and , Total revenue is $8,000

<u>Step-by-step explanation:</u>

Here we have , A manufacturer finds that the revenue generated by selling of cortan commodity is given by function R(x)=80x-0.2x^ 2 , where he maximum reveremany should be manufactured to obtain this maximum units .Let's find out:

We have following function as R(x)=80x-0.2x^ 2 . Let's differentiate this and equate it to zero to find value of x for which the function is maximum!

⇒ R(x)=80x-0.2x^ 2

⇒ \frac{d(R(x))}{dx}=\frac{d(80x-0.2x^ 2)}{dx}

⇒ \frac{d(R(x))}{dx}=\frac{d(80x)}{dx}-\frac{d(0.2x^ 2)}{dx}}

⇒ 0=80-2x(0.2)

⇒ \frac{80}{0.4}=x

⇒ x=200

Now , Value of function at x=200 is :

⇒ R(200)=80(200)-0.2(200)^ 2

⇒ R(200)=16000-8000

⇒ R(200)=8000

Therefore , The maximum units is 200 and , Total revenue is $8,000

7 0
3 years ago
Given AB = 3x + 3 and BC = 2x + 9
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Answer:

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The functional equation of the line is f (x)=a*x+b
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Apply Your Knowledge
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Answer:

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Try, pls, this solution (see the attachment).

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