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Mrrafil [7]
3 years ago
10

Find the amount on #45,000 in 3 years at 10% per annum and also find the compound interest​

Mathematics
1 answer:
Aloiza [94]3 years ago
6 0

Answer:

Amt. = 45000 ( 1+ 10/100 ) ^3

Interest = 45000 - Amt.

Step-by-step explanation:

Hope this helped have an amazing day!

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The rate of growth of profit​ (in millions) from an invention is approximated by Upper P prime (x )equals x e Superscript negati
Alecsey [184]

Answer:

The function is  P(x) =  \frac{1}{2} e^{-x^2} +0.016

Step-by-step explanation:

From the question we are told that

    The rate of growth  is  P'(x) =  xe^{x} - x^2

     The total profit is P(2)  =$25,000

      The time taken to make the profit is x =  2 \ years

         

From the question

     P'(x) =  xe^{-x^2}  is the rate of growth

  Now here x represent the time taken

Now the total profit is mathematically represented as

       P(x) =  \int\limits {P'(x)} \,  =   \int\limits {xe^{-x^2}} \,

So using substitution method

   We have that

                      u =  - x^2

                      du =  2xdx

  So  

        p(x) =  \int\limits {\frac{1}{2} e^{-u}} \, du

       p(x) =  {\frac{1}{2} [ e^{-u}} +c ]

       p(x) =  {\frac{1}{2}  e^{-x^2}} + \frac{1}{2} c      recall  u =  - x^2   and  let  \frac{1}{2} c =  Z

       

At  x =  2 years  

     P(x)  =$25,000

So

       Since the profit rate is in million

    P(x)  =$25,000 = \frac{25000}{1000000} =$0.025 millon dollars

So  

       0.025 =  {\frac{1}{2}  e^{-2^2}} + Z  

=>    Z = 0.025 - {\frac{1}{2}  e^{-2^2}}  

       Z = 0.016  

So the profit function becomes

         P(x) =  \frac{1}{2} e^{-x^2} +0.016

     

       

5 0
3 years ago
What value should be added to the expression to create a perfect square?
Lilit [14]
Answer is D.Don't take out the square

8 0
4 years ago
BRAINLIEST + 45 POINTSSSS I RLLY NEED HELPPPPPPP! PLS ANSWERRRR PROPERLY AND I WILL GVE U BOTH OF THOSE THINGS BUT I NEED IT ASA
xxMikexx [17]
Graph A because a graph of non proportional relationship will not pass through the origin (0,0) hope this helps! Remember to give me a like if it did please and thank you!
6 0
3 years ago
(10+-7 - -2) / (-2 - -1)
Scrat [10]

Nice use of brackets. We know exactly what you mean.

(10 - 7 + 2) / (-2 + 1) Notice that with an even number of - signs, you get a plus and with and odd number you get a minus.

(5) / (-1) = - 5 answer

Edit

Numerator

10 does not change.

+ - 7 Here a plus and a minus are put together. There is 1 minus sign which is an odd number of minus signs so the 7 is minus

- - 2 Here there are 2 minus signs. They become plus because 2 is even, and an even number of minuses become a plus so you have +2

10 - 7 + 2 = 5

Denominator

-2 does not change. It remains minus 2.

- - 1 There are 2 minus signs so this becomes plus 1.

- 2 + 1 = - 1

Numerator over denominator = 5/-1 = - 5. I'll probably run out of editing time. If you still don't understand, try and pinpoint the problem and we'll keep trying until you do see it. This question is worth it.

4 0
3 years ago
Read 2 more answers
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
otez555 [7]

The solution (-4,2) satisfies for the system of linear equations 3x + 13y = 14; 6x + 11y = -2

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

Step 1:

Given detail is the solution of the equations (-4, 2) ie, x= - 4 and y = 2

This implies that this solution should satisfy the given linear equations.

Step 2:

Substitute values of x and y in the equations and verify whether the right hand side equals the left hand side.

System 1 Eq(1) ⇒ LHS = 3(-4) + 13 (2) = -12 + 26 = 14 = RHS

System 1 Eq(2) ⇒ LHS = 6(-4) + 11(2) = -24 + 22 = -2 = RHS

Therefore, the first system of linear equations satisfy the condition.

4 0
3 years ago
Read 2 more answers
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