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Shkiper50 [21]
3 years ago
6

20000 into saving account 6% compound interest for 10 years

Mathematics
1 answer:
zimovet [89]3 years ago
3 0

Answer:

210,000‬

Step-by-step explanation:

20,000 * 6% = 1,200‬

20,000 + 1,200 = 21,000

21,000 * 10 = 210,000‬

Therefore your answer is 210,000‬

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Find the tangent line approximation for 10+x−−−−−√ near x=0. Do not approximate any of the values in your formula when entering
Svetllana [295]

Answer:

L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x

Step-by-step explanation:

We are asked to find the tangent line approximation for f(x)=\sqrt{10+x} near x=0.

We will use linear approximation formula for a tangent line L(x) of a function f(x) at x=a to solve our given problem.

L(x)=f(a)+f'(a)(x-a)

Let us find value of function at x=0 as:

f(0)=\sqrt{10+x}=\sqrt{10+0}=\sqrt{10}

Now, we will find derivative of given function as:

f(x)=\sqrt{10+x}=(10+x)^{\frac{1}{2}}

f'(x)=\frac{d}{dx}((10+x)^{\frac{1}{2}})\cdot \frac{d}{dx}(10+x)

f'(x)=\frac{1}{2}(10+x)^{-\frac{1}{2}}\cdot 1

f'(x)=\frac{1}{2\sqrt{10+x}}

Let us find derivative at x=0

f'(0)=\frac{1}{2\sqrt{10+0}}=\frac{1}{2\sqrt{10}}

Upon substituting our given values in linear approximation formula, we will get:

L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}(x-0)  

L(x)=\sqrt{10}+\frac{1}{2\sqrt{10}}x-0

L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x

Therefore, our required tangent line for approximation would be L(x)=\sqrt{10}+\frac{\sqrt{10}}{20}x.

8 0
3 years ago
Please hellp<br><br> Will give 100 extra point if right and brainliest
mixer [17]

Answer:

1) 500     2) $ 1000 debt    3) $350    4) $2500 debt

Step-by-step explanation:

profit = .5x -250  

1)  O      = .5x -250

250 = .5x

500 = x      number to break even

2)   f(900) =  .5 (900) -250 =  $200

       from the graph  g(200) = total debt = $1000

3)   f(x) = -75  = .5x-250    results in    x = $ 350

4)    f(500) = .5(500) - 250 = 0  

      from the graph, this corresponds to total debt g (f(500) = $2500 debt

       

7 0
2 years ago
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JulijaS [17]

Answer:

answer is 2.

Step-by-step explanation:


8 0
3 years ago
Write an equation that gives the proportional relationship of the graph.
Lera25 [3.4K]

Answer:

B) y = 5x

Step-by-step explanation:

We need to find the slope

m = (y2-y1) /(x2-x1)

We have 2 points (0,0) and (6,30)

m = (30-0)/(6-0)

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y = mx+b

The y intercept is 0

y = 5x+0

y = 5x

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