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Stolb23 [73]
2 years ago
8

I really don't know what to do for this question! :( help?

Mathematics
1 answer:
kipiarov [429]2 years ago
4 0

The amount of money she should deposit is 6131.14 dollars.

<h3>How to find the compound interest ?</h3>

The amount she should deposit can be found as follows:

p = \frac{A}{(1+\frac{r}{n} )^{nt} }

where

  • A = amount to deposit
  • r = rate
  • n = number of times
  • t = time
  • p = principal

Therefore,

p = \frac{20000}{(1+\frac{0.12}{4}{} )^{40}  }

p=\frac{20000}{(1+0.03)^{40} }

p = \frac{20000}{1.03^{40} }

p=\frac{20000}{3.262037792}

Hence,

p = $6,131.14

Therefore, she should deposit 6131.14 dollars.

learn more on compound interest here: brainly.com/question/13155407

#SPJ1

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The weight of the blocks will depend on the density if the volume is the same.
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We are given with a quadratic equation which represents a Parabola , we need to find the vertex of the parabola , But let's recall that , For any quadratic equation of the form ax² + bx + c = 0 , the vertex of the parabola is given by ;

{\quad \qquad \boxed{\bf{Vertex = \left(\dfrac{-b}{2a},\dfrac{-D}{4a}\right)}}}

Where , D = b² - 4ac (Discriminant)

Now , On comparing the given equation with ax² + bx + c , we have

⇢⇢⇢ <em><u>a = 1 , b = - 10 , c = 2</u></em><em><u>7</u></em>

Now , Calculating D ;

{:\implies \quad \sf D=(-10)^{2}-4\times 1\times 27}

{:\implies \quad \sf D=100-108}

{:\implies \quad \bf \therefore \quad D=-8}

Now , Calculating the vertex ;

{:\implies \quad \sf Vertex =\bigg\{\dfrac{-(-10)}{2\times 1},\dfrac{-(-8)}{4\times 1}\bigg\}}

{:\implies \quad \sf Vertex = \left(\dfrac{10}{2},\dfrac{8}{2}\right)}

{:\implies \quad \bf \therefore \quad Vertex = (5,2)}

Hence , The vertex of the parabola is at (5,2)

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Refer to the attachment for the graph as well .

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yKpoI14uk [10]
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<span>Decimal Form: -1.266667
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Given:

There are given that the parent functions as a cosine function:

Where,

The amplitude of the function is 9.

The vertical shift is 11 units down.

Explanation:

To find the cosine function, we need to see the standard form of the cosine function:

f(x)=acos(bx+c)+d

Where,

a is the amplitude of the function,

Now,

According to the question:

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The vertical shift is 11 units down, which means:

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For period:

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Final answer:

Hence, the cosine function is shown below;

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