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Lelu [443]
2 years ago
15

Nakato Nobuki, a Japanese artist, intends to withdraw $ 24,000.00 from his savings at the end of 5 years. Mr. Nobuki deposits $

1,500.00 in savings annually and today has a balance of $ 8,000.00. What should be the savings interest rate for Nobuki to achieve his goals?
Mathematics
1 answer:
Elina [12.6K]2 years ago
8 0

Answer:

The savings interest rate of Nakato Nobuki is 3 %

Step-by-step explanation:

Given;

Final amount of Nakato Nobuki, A = $ 24,000.00

time period of his investment, t = 5 years

principla amount, P = $ 1,500.00

The savings interest rate of Nakato Nobuki can be calculated on a simple interest basis.

A  = P(1 + rt)

r is the savings interest rate

Substitute the given values and solve for r

24,000 = 1,500(1 + 5r)

24,000 = 1,500 +  7,500r

7,500r = 24,000 - 1,500

7,500r = 22,500

r = 22,500/7,500

r = 3 %

Therefore, the savings interest rate of Nakato Nobuki is 3 %

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Knowing that we have the information needed we will first find the perimeter of the rectangle.

Rectangle:
Length: 13cm

Width: 7cm  

Formula: L+L+W+W

13+13+7+7 = 40cm

Meaning the perimeter is 40cm and we can use this to find the length of a square. From general knowledge we know that all sides of a square is equal.

So if we divide the 4 sides by 40 we will get our answer.

40 ÷ 4 = 10

So B would be our answer...

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Therefore the length of a side of the square is 10cm, meaning answer B is correct.

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NetSell, a the TV remote control supplier for Lumyn Electronics, has a weekly production cost of q TV remote controls that is gi
natali 33 [55]

Answer:

a.  \frac{dC(q)}{dq} = 0.000012q^2 -0.06q + 100

b. \frac{dR(q)}{dq}=-0.01q+200

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U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

 

Step-by-step explanation:

a) The marginal cost function is given by the derivative of the total cost function, in this way the marginal cost function for this company is:

\frac{dC(q)}{dq} = \frac{dC(q)}{dq} (0.000004q^ 3 - 0.03q ^ 2 + 100q + 75000) = 0.000012q^2 -0.06q + 100

b) The income function is given by the relation R (q) = P (q) q = -0.005q^2 + 200q.

The marginal revenue function for the company is given by the derivative of the revenue function, in this way the marginal revenue function is:

\frac{dR(q)}{dq}= -0.01q+200

 

(c) The profit function of the company is given by the relation U (q) = R (q) - C (q), and the marginal utility function is given by the derivative of the utility function, in this way , the marginal utility function is:

\dfrac{dU(q)}{dq}=R'(q) - C'(q) = -0.01q+200 - (0.000012q^2-0.06q+100) = -0.000012q^2+0.05q+100

When q = 2000, the marginal utility is:

U'(2000)=-0.000012(2000)^2+0.05(2000)+100 = 152

When q = 7000, the marginal utility is:

U'(7000)=-0.000012(7000)^2+0.05(7000)+100 = -138

6 0
3 years ago
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