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Brut [27]
2 years ago
15

An Account grows at an annual interest rate, it grows by a factor of x=1 + r each year. The function A(x)=800x^4 + 350x^3 + 500x

^2 + 600x gives the amount in the account after 4 years when the growth factor is x.
After 5 years, $200 is added to the account. Use the expression for A(x) to write a new expression B(x) that represents how much is in the account after 5 years.
Mathematics
2 answers:
Marina86 [1]2 years ago
7 0

Answer:

Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK

Step-by-step explanation:

IM NOT SURE!

lys-0071 [83]2 years ago
6 0

Answer:

Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK

Step-by-step

Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK explanation: maybe

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Futhe Mathematics<br><img src="https://tex.z-dn.net/?f=%28Cos%20%7B%7D%5E%7B4%7Dt%20-Sin%20%7B%7D%5E%7B4%7Dt%20%29%20%20%5Cdiv%2
Nastasia [14]

Answer:

cos2t/cos²t

Step-by-step explanation:

Here the given trigonometric expression to us is ,

\longrightarrow \dfrac{cos^4t - sin^4t }{cos^2t }

We can write the numerator as ,

\longrightarrow \dfrac{ (cos^2t)^2-(sin^2t)^2}{cos^2t }

Recall the identity ,

\longrightarrow (a-b)(a+b)=a^2-b^2

Using this we have ,

\longrightarrow \dfrac{(cos^2t + sin^2t)(cos^2t-sin^2t)}{cos^2t}

Again , as we know that ,

\longrightarrow sin^2\phi + cos^2\phi = 1

Therefore we can rewrite it as ,

\longrightarrow \dfrac{1(cos^2t - sin^2t)}{cos^2t}

Again using the first identity mentioned above ,

\longrightarrow \underline{\underline{\dfrac{(cost + sint )(cost - sint)}{cos^2t}}}

Or else we can also write it using ,

\longrightarrow cos2\phi = cos^2\phi - sin^2\phi

Therefore ,

\longrightarrow \underline{\underline{\dfrac{cos2t}{cos^2t}}}

And we are done !

\rule{200}{4}

Additional info :-

<em>D</em><em>e</em><em>r</em><em>i</em><em>v</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>c</em><em>o</em><em>s</em><em>²</em><em>x</em><em> </em><em>-</em><em> </em><em>s</em><em>i</em><em>n</em><em>²</em><em>x</em><em> </em><em>=</em><em> </em><em>c</em><em>o</em><em>s</em><em>2</em><em>x</em><em> </em><em>:</em><em>-</em>

We can rewrite cos 2x as ,

\longrightarrow cos(x + x )

As we know that ,

\longrightarrow cos(y + z )= cosy.cosz -  siny.sinz

So that ,

\longrightarrow cos(x+x) = cos(x).cos(x) - sin(x)sin(x)

On simplifying,

\longrightarrow cos(x+x) = cos^2x - sin^2x

Hence,

\longrightarrow\underline{\underline{cos (2x) = cos^2x - sin^2x }}

\rule{200}{4}

7 0
2 years ago
X^2+20x+c find the value of c that makes a perfect square trinomial
ollegr [7]

Answer:

This means c=100. The factored form is (x+10)^2.

Step-by-step explanation:

A perfect square is a trinomial that factors into the form (x+a)^2. To find the value of C to finish the perfect square divide 20 by 2 and square it.

20/2 = 10

10*10=100

This means c=100. The factored form is (x+10)^2.

3 0
3 years ago
I am trying to be a​
Angelina_Jolie [31]
Yes, X will equal 44
6 0
3 years ago
How is the Pythagorean theorem related to the distance<br> formula?
Eddi Din [679]

Answer:

The distance formula is a formalization of the Pythagorean Theorem using (x,y) . They are the same thing (but the distance formula is for working out the distance between two points and Pythagoras theorem is for working out the missing length in a right-angled triangle) in two different contexts.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the area of the parallelogram?
Bezzdna [24]

The area of the parallelogram is mathematically given as

A = 7 square units Option B

<h3>What is the area of the parallelogram?</h3>

Generally, the equation for a parallelogram is mathematically given as

A=bH

Where

b=\sqrt{4^2+1^2}

b=4.123

and

H=1.75

Hence

A=3*1.75

A=7.2square units

In conclusion,  a parallelogram

A = 7 square units

Read more about parallelogram

brainly.com/question/1563728

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6 0
2 years ago
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